34:I[651451,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"UserProgressProvider"] 35:I[196793,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"Gingerbread"] 37:I[716297,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"TopicRecentlyViewed"] 38:I[647935,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"RecordResourceResume"] 39:I[426249,["/_next/static/chunks/0g36cb-mcivw7.js?dpl=nogit-1790701396","/_next/static/chunks/0z347qy8pf1j3.js?dpl=nogit-1790701396","/_next/static/chunks/2zbd126_oyq__.js?dpl=nogit-1790701396","/_next/static/chunks/1ew75_i487l-5.js?dpl=nogit-1790701396","/_next/static/chunks/15le0xz0fig32.js?dpl=nogit-1790701396","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1790701396","/_next/static/chunks/2epfhfe5im7r6.js?dpl=nogit-1790701396","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1790701396","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1790701396","/_next/static/chunks/2hyw6fyf3iqeh.js?dpl=nogit-1790701396","/_next/static/chunks/1bsq1mchpwo6z.js?dpl=nogit-1790701396","/_next/static/chunks/3r5hh4t0jf4es.js?dpl=nogit-1790701396","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1790701396","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1790701396","/_next/static/chunks/1odwrcl12kfnl.js?dpl=nogit-1790701396","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1790701396","/_next/static/chunks/2bsb8adax1pdp.js?dpl=nogit-1790701396","/_next/static/chunks/3ocoqwe4aht_u.js?dpl=nogit-1790701396","/_next/static/chunks/2u46tugibrk1v.js?dpl=nogit-1790701396","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1790701396","/_next/static/chunks/3ao1re0xmmur_.js?dpl=nogit-1790701396","/_next/static/chunks/3xa2z7fbv2riw.js?dpl=nogit-1790701396","/_next/static/chunks/3_lt5xft2vli-.js?dpl=nogit-1790701396","/_next/static/chunks/309o1kfcg2jbm.js?dpl=nogit-1790701396","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1790701396","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1790701396","/_next/static/chunks/3t0ml5lpxv0ny.js?dpl=nogit-1790701396","/_next/static/chunks/1x_yxljsdq0vl.js?dpl=nogit-1790701396","/_next/static/chunks/1coblm1-go81_.js?dpl=nogit-1790701396","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1790701396","/_next/static/chunks/01yo0wxu33311.js?dpl=nogit-1790701396","/_next/static/chunks/1xkpwfqqdrdio.js?dpl=nogit-1790701396","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1790701396","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1790701396","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1790701396","/_next/static/chunks/00ttxm70xm75x.js?dpl=nogit-1790701396","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1790701396","/_next/static/chunks/375u4k1enjdjk.js?dpl=nogit-1790701396","/_next/static/chunks/2nhkb7qo19pt9.js?dpl=nogit-1790701396","/_next/static/chunks/1r90gnkk5yun0.js?dpl=nogit-1790701396","/_next/static/chunks/075i0tnxt4not.js?dpl=nogit-1790701396","/_next/static/chunks/0i4zom-kyjeci.js?dpl=nogit-1790701396","/_next/static/chunks/181u0pe6-1__x.js?dpl=nogit-1790701396","/_next/static/chunks/1h-hlqpew4bkg.js?dpl=nogit-1790701396","/_next/static/chunks/2opkuzmjw8cxb.js?dpl=nogit-1790701396","/_next/static/chunks/3-zx6jlroq8f_.js?dpl=nogit-1790701396","/_next/static/chunks/0m6ugdwrai1f_.js?dpl=nogit-1790701396","/_next/static/chunks/2tom8_rk-gmeh.js?dpl=nogit-1790701396","/_next/static/chunks/2job6vzx9q1be.js?dpl=nogit-1790701396","/_next/static/chunks/10u-zuc7e4u51.js?dpl=nogit-1790701396","/_next/static/chunks/12lt_672t_i5k.js?dpl=nogit-1790701396","/_next/static/chunks/2olvbq0sf9-5z.js?dpl=nogit-1790701396","/_next/static/chunks/1lsxkfxy262n-.js?dpl=nogit-1790701396","/_next/static/chunks/2ywf8cxod8dkv.js?dpl=nogit-1790701396","/_next/static/chunks/0f-6p5pag2tjw.js?dpl=nogit-1790701396","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1790701396","/_next/static/chunks/27300xkio5zct.js?dpl=nogit-1790701396","/_next/static/chunks/27wr6uo36_o7k.js?dpl=nogit-1790701396","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1790701396","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1790701396","/_next/static/chunks/1jf3y60i704h7.js?dpl=nogit-1790701396","/_next/static/chunks/3wqp-h5xnebw9.js?dpl=nogit-1790701396","/_next/static/chunks/237j9p1936g2m.js?dpl=nogit-1790701396","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1790701396"],"TopicQuestionBank"] 25:["$","$L34",null,{"bundle":{"topicIds":["478d0b8d-ed3c-0e2d-8cc0-e5609f80123a"],"paperIds":[],"stageIds":[],"stageTopicIds":[],"stageAssessmentIds":[],"topicNoteIds":["5a950e13-c14b-d9af-6a09-8e7096e56183"]},"children":[["$","$L35",null,{"feature":"question-bank"}],"$L36",["$","$L37",null,{"subjectCode":"gcse_maths__wjec","subjectName":"Maths","topicSlug":"grade-8-9-8-1-quadratic-simultaneous-equations","topicTitle":"Quadratic Simultaneous Equations","sectionTitle":null,"activity":"worksheet","resourceTitle":"Quadratic Simultaneous Equations Questions","resourceHref":"/gcse/maths/wjec/grade-8-9-8-1-quadratic-simultaneous-equations/questions/q1","saveTrail":false}],["$","$L38",null,{"href":"/gcse/maths/wjec/grade-8-9-8-1-quadratic-simultaneous-equations/questions/q1","label":"Quadratic Simultaneous Equations","subjectCode":"gcse_maths__wjec","surface":"questions"}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"LearningResource\",\"name\":\"Question 1 – Quadratic Simultaneous Equations - Questions\",\"description\":\"Practise Quadratic Simultaneous Equations GCSE Maths exam-style questions with worked solutions on MathsGenie.\",\"learningResourceType\":\"Practice questions\",\"educationalLevel\":\"GCSE\",\"about\":{\"@type\":\"Thing\",\"name\":\"Quadratic Simultaneous Equations\"},\"url\":\"https://mathsgenie.co.uk/gcse/maths/wjec/grade-8-9-8-1-quadratic-simultaneous-equations/questions/q1\",\"inLanguage\":\"en-GB\",\"provider\":{\"@id\":\"https://mathsgenie.co.uk/#organization\"}}"}}],["$","div",null,{"className":"min-h-0 w-full flex-1 overflow-hidden bg-background","children":["$","$L39",null,{"backHref":"/gcse/maths/wjec/questions","basePath":"/gcse/maths/wjec/grade-8-9-8-1-quadratic-simultaneous-equations/questions","formulaUrl":null,"initialIndex":0,"initialQuestionWindow":[{"id":"7212abe4-9d9f-42ce-9fdd-8579125a4d9d","revisionId":"7d905a21-3ec7-4e2d-8778-f3fe369c56be","questionNumber":"1","questionType":"LA","specification":"","difficultyBand":"medium","tier":null,"totalMarks":5,"sourceTitle":"Quadratic Simultaneous Equations","calculatorUse":"non_calc","isCalculation":true,"parts":[{"id":"d82b8177-a41d-4597-a9f8-0a3881b3f9fb","label":"","content":"Solve the simultaneous equations\n\n$$x^2 + y^2 = 13$$\n\n$$x = y - 5$$","markscheme":"- Substitutes $x = y - 5$ into the first equation: $(y - 5)^2 + y^2 = 13$ M1\n- Expands and simplifies to a quadratic equation: $2y^2 - 10y + 12 = 0$ or $y^2 - 5y + 6 = 0$ M1\n- Factorises or uses formula to find $y$: $(y - 3)(y - 2) = 0$ so $y = 3$ or $y = 2$ M1\n- Substitutes $y$ values back to find $x$: $x = 3 - 5 = -2$ and $x = 2 - 5 = -3$ M1\n- Final answers: $x = -2, y = 3$ and $x = -3, y = 2$ A1","marks":5,"order":0,"markingRubric":{"totalMarks":5,"points":[{"id":"p1","marks":1,"description":"Substitutes the linear equation into the quadratic equation.","code":"M"},{"id":"p2","marks":1,"description":"Expands brackets and simplifies to a three-term quadratic equal to zero.","code":"M"},{"id":"p3","marks":1,"description":"Solves the resulting quadratic equation to find two values for one variable.","code":"M"},{"id":"p4","marks":1,"description":"Substitutes found values back into the linear equation to find the second variable.","code":"M"},{"id":"p5","marks":1,"description":"Provides both pairs of correct solutions: $(-2, 3)$ and $(-3, 2)$. ","code":"A"}],"finalAnswers":["x = -2, y = 3","x = -3, y = 2"],"generatedAt":"2026-05-05T15:56:19.822Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"substitute_and_factorise","label":"Substitute and factorise","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x^2+y^2=13$"},{"latex":"$$x=\\color{@sky}{\\htmlData{anchor=xexpr}{y-5}}$"},{"latex":"$$\\color{@sky}{\\htmlData{anchor=subbed}{(y-5)^2}}+y^2=13$"}]},"order":0,"title":"Substitute for x","description":"The second equation already gives x in terms of y, so replace x in the first equation. Writing this substitution earns the first M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\color{@orange}{\\htmlData{anchor=bracket}{(y-5)^2}}$"},{"latex":"$$\\color{@orange}{\\htmlData{anchor=expanded}{y^2-10y+25}}$"},{"latex":"$$y^2-10y+25+y^2=13$"},{"latex":"$$\\color{@green}{\\htmlData{anchor=collected}{2y^2-10y+12=0}}$"},{"latex":"$$\\color{@green}{\\htmlData{anchor=divided}{y^2-5y+6=0}}$"}],"connections":[{"to":"expanded","from":"bracket","color":"orange","label":"expand"},{"to":"divided","from":"collected","color":"green","label":"divide by 2"}]},"order":1,"title":"Form the quadratic","description":"Expand the bracket, substitute the expansion, collect like terms, then divide every term by 2. Reaching either quadratic form shown earns the second M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$y^2-5y+6=0$"},{"latex":"$$\\bigl(\\color{@teal}{\\htmlData{anchor=factor3}{y-3}}\\bigr)\\bigl(\\color{@purple}{\\htmlData{anchor=factor2}{y-2}}\\bigr)=0$"},{"latex":"$$\\color{@teal}{\\htmlData{anchor=root3}{y=3}}$"},{"latex":"$$\\color{@purple}{\\htmlData{anchor=root2}{y=2}}$"}]},"order":2,"title":"Factorise for y","description":"Find two numbers that multiply to 6 and add to −5. Factorising and obtaining both y-values earns the third M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x=y-5$"},{"latex":"$$\\color{@sky}{\\htmlData{anchor=line3}{x=3-5}}$"},{"latex":"$$\\color{@sky}{\\htmlData{anchor=result3}{x=-2}}$"},{"latex":"$$\\color{@orange}{\\htmlData{anchor=line2}{x=2-5}}$"},{"latex":"$$\\color{@orange}{\\htmlData{anchor=result2}{x=-3}}$"}]},"order":3,"title":"Find each x","description":"Substitute each y-value into x = y − 5. Finding both matching x-values earns the fourth M1."},{"type":"text","order":4,"title":"State both solutions","content":"Keep each value of $x$ paired with the $y$-value that produced it:\n\n$$\n(x,y)=(-2,3)\\quad\\text{or}\\quad(x,y)=(-3,2).\n$$\n\nGiving both complete pairs earns the final A1."}]},{"id":"substitute_and_formula","label":"Substitute and use the formula","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x^2+y^2=13$"},{"latex":"$$x=\\color{@sky}{\\htmlData{anchor=xexpr}{y-5}}$"},{"latex":"$$\\color{@sky}{\\htmlData{anchor=subbed}{(y-5)^2}}+y^2=13$"}]},"order":0,"title":"Substitute for x","description":"Replace x in the first equation using the expression from the second equation. This earns the first M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\color{@orange}{\\htmlData{anchor=bracket}{(y-5)^2}}$"},{"latex":"$$\\color{@orange}{\\htmlData{anchor=expanded}{y^2-10y+25}}$"},{"latex":"$$y^2-10y+25+y^2=13$"},{"latex":"$$\\color{@green}{\\htmlData{anchor=collected}{2y^2-10y+12=0}}$"},{"latex":"$$\\color{@green}{\\htmlData{anchor=divided}{y^2-5y+6=0}}$"}],"connections":[{"to":"expanded","from":"bracket","color":"orange","label":"expand"},{"to":"divided","from":"collected","color":"green","label":"divide by 2"}]},"order":1,"title":"Form the quadratic","description":"Expand the bracket, substitute the expansion, collect like terms, then divide every term by 2. Reaching either quadratic form shown earns the second M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$y=\\dfrac{-b\\pm\\sqrt{b^2-4ac}}{2a}$"},{"latex":"$$y=\\dfrac{-(-5)\\pm\\sqrt{(-5)^2-4(1)(6)}}{2(1)}$"},{"latex":"$$\\htmlData{anchor=both_signs}{\\color{@purple}{y=\\dfrac{5\\pm\\sqrt{1}}{2}}}$"},{"latex":"$$\\htmlData{anchor=plus_branch}{\\color{@teal}{y=\\dfrac{5+1}{2}=3}}$"},{"latex":"$$\\htmlData{anchor=minus_branch}{\\color{@orange}{y=\\dfrac{5-1}{2}=2}}$"},{"latex":"$$y=3\\text{ or }y=2$"}],"connections":[{"to":"plus_branch","from":"both_signs","color":"teal","label":"use +"},{"to":"minus_branch","from":"both_signs","color":"orange","label":"use −"}]},"order":2,"title":"Apply the formula","description":"For the quadratic y² − 5y + 6 = 0, the coefficients are a = 1, b = −5 and c = 6. Substitute them carefully: because b is negative, −b becomes −(−5). Keeping both signs earns the third M1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x=y-5$"},{"latex":"$$\\color{@sky}{x=3-5}$"},{"latex":"$$\\color{@sky}{x=-2}$"},{"latex":"$$\\color{@orange}{x=2-5}$"},{"latex":"$$\\color{@orange}{x=-3}$"}]},"order":3,"title":"Find each x","description":"Return to the linear equation for each root. Finding both corresponding x-values earns the fourth M1."},{"type":"text","order":4,"title":"State both solutions","content":"Keep each value of $x$ paired with the $y$-value that produced it:\n\n$$\n(x,y)=(-2,3)\\quad\\text{or}\\quad(x,y)=(-3,2).\n$$\n\nGiving both complete pairs earns the final A1."}]}],"generatedAt":"2026-07-19T19:16:21.115Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":{"methods":[{"id":"d82b8177-a41d-4597-a9f8-0a3881b3f9fb:substitute_x","label":"Substitution for x","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x = \\htmlData{anchor=sub-val}{\\color{@sky}{y - 5}}$"},{"latex":"$$\\htmlData{anchor=x-sq}{\\color{@sky}{x}}^2 + y^2 = 13$"},{"latex":"$$\\htmlData{anchor=sub-target}{\\color{@sky}{(y - 5)}}^2 + y^2 = 13$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"sub-val"},{"color":"sky","style":"text-color","anchor":"sub-target"}],"connections":[{"to":"sub-target","from":"sub-val","color":"sky","label":"Substitute","style":"solid"}]},"order":0,"title":"Substitute the linear expression","description":"We substitute the expression for $x$ from our linear equation directly into the quadratic equation. This earns you the first mark **(M1)**."},{"type":"text","order":1,"title":"Expand and simplify","content":"Now, let's expand the brackets and simplify the equation:\\n\\n$$(y - 5)^2 + y^2 = 13$$\\n\\nExpanding the term $(y - 5)^2$ gives:\\n\\n$$(y^2 - 10y + 25) + y^2 = 13$$\\n\\nNow we combine the like terms $y^2 + y^2 = 2y^2$:\\n\\n$$2y^2 - 10y + 25 = 13$$\\n\\nSubtract $13$ from both sides to form a quadratic equation set to $0$:\\n\\n$$2y^2 - 10y + 12 = 0$$\\n\\nTo make factorising easier, we can divide the entire equation by $2$:\\n\\n$$y^2 - 5y + 6 = 0$$\\n\\nThis simplified equation earns a mark **(M1)**."},{"type":"text","order":2,"title":"Factorise and solve for y","content":"Next, we solve the quadratic equation $y^2 - 5y + 6 = 0$ by factorising.\\n\\nWe need to find two numbers that multiply to $+6$ and add up to $-5$. These numbers are $-2$ and $-3$.\\n\\nThus, we factorise the quadratic equation as:\\n\\n$$(y - 2)(y - 3) = 0$$\\n\\nSetting each bracket to zero gives us two solutions for $y$ **(M1)**:\\n\\n$$y = 2 \\quad \\text{or} \\quad y = 3$$"},{"type":"text","order":3,"title":"Substitute back to find x","content":"Now we substitute our $y$ values back into the linear equation $x = y - 5$ to find the corresponding values of $x$ **(M1)**:\\n\\n- For $y = 2$:\\n $$x = 2 - 5 = -3$$\\n\\n- For $y = 3$:\\n $$x = 3 - 5 = -2$$"},{"type":"text","order":4,"title":"State the final solutions","content":"Pair up your values clearly to present the final coordinates **(A1)**:\\n\\n- $x = -3, y = 2$\\n- $x = -2, y = 3$"}]},{"id":"d82b8177-a41d-4597-a9f8-0a3881b3f9fb:substitute_y","label":"Substitution for y","steps":[{"type":"text","order":0,"title":"Rearrange the linear equation","content":"To use the **Substitution for $y$** approach, we begin by rearranging the linear equation to express $y$ in terms of $x$.\n\nThe given linear equation is:\n$$x = y - 5$$\n\nAdding $5$ to both sides gives:\n$$y = x + 5$$","highlights":[{"text":"x = y - 5","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$$x^2 + \\htmlData{anchor=y-var}{\\color{@sky}{y}}^2 = 13$$"},{"latex":"$$$\\htmlData{anchor=y-expr}{\\color{@sky}{y}} = \\htmlData{anchor=x-expr}{\\color{@amber}{x + 5}}$$"},{"latex":"$$$x^2 + (\\htmlData{anchor=sub-target}{\\color{@amber}{x + 5}})^2 = 13$$"}],"highlights":[{"color":"sky","style":"box","anchor":"y-var"},{"color":"sky","style":"text-color","anchor":"y-expr"},{"color":"amber","style":"text-color","anchor":"x-expr"},{"color":"amber","style":"box","anchor":"sub-target"}],"connections":[{"to":"y-var","from":"y-expr","color":"sky","label":"substitute","style":"solid"},{"to":"sub-target","from":"x-expr","color":"amber","label":"substituted value","style":"solid"}]},"order":1,"title":"Substitute into the quadratic","description":"Now, substitute the expression for $y$ into the quadratic equation $x^2 + y^2 = 13$ so we obtain an equation with only one variable, $x$."},{"type":"text","order":2,"title":"Expand and simplify","content":"We expand the bracket and simplify the equation to form a standard quadratic equation of the form $ax^2 + bx + c = 0$:\n\n$$\\begin{aligned} x^2 + (x + 5)^2 &= 13 \\\\ x^2 + (x^2 + 10x + 25) &= 13 \\\\ 2x^2 + 10x + 25 &= 13 \\end{aligned}$$\n\nSubtract $13$ from both sides to set the equation to $0$:\n\n$$2x^2 + 10x + 12 = 0$$\n\nTo make factorising simpler, we can divide the entire equation by $2$:\n\n$$x^2 + 5x + 6 = 0$$"},{"type":"text","order":3,"title":"Solve for x","content":"We solve the quadratic equation $x^2 + 5x + 6 = 0$ by factorising.\n\nWe need two numbers that multiply to $6$ and add to $5$. These numbers are $2$ and $3$:\n\n$$(x + 2)(x + 3) = 0$$\n\nThis gives two possible values for $x$:\n\n$$x = -2 \\quad \\text{or} \\quad x = -3$$"},{"type":"text","order":4,"title":"Find the corresponding y values","content":"Substitute the $x$ values back into our rearranged linear equation $y = x + 5$ to find the corresponding values of $y$.\n\n- **When $x = -2$:**\n $$y = -2 + 5 = 3$$\n\n- **When $x = -3$:**\n $$y = -3 + 5 = 2$$\n\nTherefore, the two pairs of solutions are:\n$$x = -2, y = 3 \\quad \\text{and} \\quad x = -3, y = 2$$"}]}],"generatedAt":"2026-06-12T20:24:12.765Z","modelVersion":"gemini-3.5-flash","explanationVersion":"v2"},"firstAttemptFullMarks":{"percent":25},"walkthroughVideo":{"url":"https://assets.mathsgenie.co.uk/walkthroughs/review/0ecf0e0d-12e7-4ad9-881c-0f7e1f01180e.mp4","durationSeconds":197,"posterUrl":"https://assets.mathsgenie.co.uk/walkthroughs/review/0ecf0e0d-12e7-4ad9-881c-0f7e1f01180e.jpg"}},{"id":"5b64e26f-c984-4b4f-a998-70eee47a327f","revisionId":"9fa2d1bb-5cdb-43c4-92b2-3e694f74cdb7","questionNumber":null,"questionType":"LA","specification":"","difficultyBand":"medium","tier":null,"totalMarks":5,"sourceTitle":null,"calculatorUse":"non_calc","isCalculation":true,"parts":[{"id":"5d191032-59ec-4448-8689-6de450763475","label":"a","content":"Solve the simultaneous equations\n\n$$x^2 + y^2 = 25$$\n\n$$y = x + 1$$","markscheme":"- Substitutes $y = x + 1$ into the first equation: $x^2 + (x + 1)^2 = 25$ M1\n- Expands and simplifies to a quadratic equation: $2x^2 + 2x - 24 = 0$ or $x^2 + x - 12 = 0$ M1\n- Factorises or uses formula to find $x$: $(x + 4)(x - 3) = 0$ so $x = -4$ or $x = 3$ M1\n- Substitutes $x$ values back to find $y$: $y = -4 + 1 = -3$ and $y = 3 + 1 = 4$ M1\n- Final answers: $x = -4, y = -3$ and $x = 3, y = 4$ A1","marks":5,"order":0,"markingRubric":{"totalMarks":5,"points":[{"id":"p1","marks":1,"description":"Evidence of substituting the linear equation into the quadratic equation.","code":"M","acceptable":["x^2 + (x + 1)^2 = 25"]},{"id":"p2","marks":1,"description":"Expands brackets and simplifies to a three-term quadratic equal to zero.","code":"M","acceptable":["2x^2 + 2x - 24 = 0","x^2 + x - 12 = 0"]},{"id":"p3","marks":1,"description":"Solving the quadratic equation to find two values for the first variable.","code":"M","acceptable":["x = -4 and x = 3"]},{"id":"p4","marks":1,"description":"Substituting found values into the linear equation to find the corresponding second variable values.","code":"M","acceptable":["y = -3 and y = 4"]},{"id":"p5","marks":1,"description":"Both pairs of solutions given correctly and paired properly.","code":"A"}],"finalAnswers":["(-4, -3), (3, 4)"],"generatedAt":"2026-05-06T14:07:11.467Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"substitute_and_factorise","label":"Substitute and factorise","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x^2+\\htmlData{anchor=yterm}{\\color{@sky}{y^2}}=25$"},{"latex":"$$x^2+\\htmlData{anchor=substitution}{\\color{@sky}{(x+1)^2}}=25$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"yterm"},{"color":"sky","style":"text-color","anchor":"substitution"}],"connections":[{"to":"substitution","from":"yterm","color":"sky","label":"use y = x + 1"}]},"order":0,"title":"Substitute for y","description":"Replace y in the first equation with x + 1. Writing this substitution earns the first method mark (M1)."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x^2+\\htmlData{anchor=bracket}{\\color{@orange}{(x+1)^2}}=25$"},{"latex":"$$x^2+\\htmlData{anchor=expanded}{\\color{@orange}{x^2+2x+1}}=25$"},{"latex":"$$\\htmlData{anchor=collected}{\\color{@teal}{2x^2+2x-24}}=0$"},{"latex":"$$\\htmlData{anchor=divided}{\\color{@teal}{x^2+x-12}}=0$"}],"highlights":[{"color":"orange","style":"text-color","anchor":"bracket"},{"color":"orange","style":"text-color","anchor":"expanded"},{"color":"teal","style":"text-color","anchor":"collected"},{"color":"teal","style":"text-color","anchor":"divided"}],"connections":[{"to":"expanded","from":"bracket","color":"orange","label":"expand"},{"to":"collected","from":"expanded","color":"teal","label":"collect terms"},{"to":"divided","from":"collected","color":"teal","label":"divide by 2"}]},"order":1,"title":"Form the quadratic","description":"Expand the bracket, collect like terms, then divide every term by 2. Reaching either quadratic form earns the second method mark (M1)."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=quadratic}{\\color{@purple}{x^2+x-12}}=0$"},{"latex":"$$\\htmlData{anchor=factorised}{\\color{@purple}{(x+4)(x-3)=0}}$"},{"latex":"$$\\htmlData{anchor=leftfactor}{\\color{@orange}{x+4=0}}$"},{"latex":"$$\\htmlData{anchor=rightfactor}{\\color{@sky}{x-3=0}}$"}],"highlights":[{"color":"purple","style":"text-color","anchor":"quadratic"},{"color":"purple","style":"text-color-with-background","anchor":"factorised"},{"color":"orange","style":"text-color","anchor":"leftfactor"},{"color":"sky","style":"text-color","anchor":"rightfactor"}],"connections":[{"to":"factorised","from":"quadratic","color":"purple","label":"factorise"},{"to":"leftfactor","from":"factorised","color":"orange","label":"first factor is zero"},{"to":"rightfactor","from":"factorised","color":"sky","label":"second factor is zero"}]},"order":2,"title":"Factorise and split","description":"Factorise the quadratic, then use the zero-product rule: if a product is zero, at least one factor must be zero. This sets up both possible roots."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=lefteq}{\\color{@orange}{x+4=0}}$"},{"latex":"$$\\htmlData{anchor=leftroot}{\\color{@orange}{x=-4}}$"},{"latex":"$$\\htmlData{anchor=righteq}{\\color{@sky}{x-3=0}}$"},{"latex":"$$\\htmlData{anchor=rightroot}{\\color{@sky}{x=3}}$"}],"highlights":[{"color":"orange","style":"text-color","anchor":"lefteq"},{"color":"orange","style":"text-color-with-background","anchor":"leftroot"},{"color":"sky","style":"text-color","anchor":"righteq"},{"color":"sky","style":"text-color-with-background","anchor":"rightroot"}],"connections":[{"to":"leftroot","from":"lefteq","color":"orange","label":"subtract 4"},{"to":"rightroot","from":"righteq","color":"sky","label":"add 3"}]},"order":3,"title":"Solve both branches","description":"Solve each one-step equation. Obtaining both values of x earns the third method mark (M1)."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$y=\\htmlData{anchor=xminusfour}{\\color{@orange}{-4}}+1$"},{"latex":"$$\\htmlData{anchor=yminusthree}{\\color{@orange}{y=-3}}$"},{"latex":"$$y=\\htmlData{anchor=xthree}{\\color{@sky}{3}}+1$"},{"latex":"$$\\htmlData{anchor=yfour}{\\color{@sky}{y=4}}$"}],"highlights":[{"color":"orange","style":"text-color","anchor":"xminusfour"},{"color":"orange","style":"text-color-with-background","anchor":"yminusthree"},{"color":"sky","style":"text-color","anchor":"xthree"},{"color":"sky","style":"text-color-with-background","anchor":"yfour"}],"connections":[{"to":"yminusthree","from":"xminusfour","color":"orange","label":"substitute"},{"to":"yfour","from":"xthree","color":"sky","label":"substitute"}]},"order":4,"title":"Find both y-values","description":"Put each value of x into y = x + 1. Finding both corresponding values of y earns the fourth method mark (M1)."},{"type":"text","order":5,"title":"State both solutions","content":"Pair each $x$-value with the $y$-value found from it:\n\n$$\n(x,y)=(-4,-3) \\quad \\text{or} \\quad (x,y)=(3,4).\n$$\n\nStating both complete ordered pairs earns the final accuracy mark (A1)."}]},{"id":"substitute_and_formula","label":"Substitute and use formula","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x^2+\\htmlData{anchor=yterm}{\\color{@sky}{y^2}}=25$"},{"latex":"$$x^2+\\htmlData{anchor=substitution}{\\color{@sky}{(x+1)^2}}=25$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"yterm"},{"color":"sky","style":"text-color","anchor":"substitution"}],"connections":[{"to":"substitution","from":"yterm","color":"sky","label":"use y = x + 1"}]},"order":0,"title":"Substitute for y","description":"Replace y in the first equation with x + 1. Writing this substitution earns the first method mark (M1)."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x^2+\\htmlData{anchor=bracket}{\\color{@orange}{(x+1)^2}}=25$"},{"latex":"$$x^2+\\htmlData{anchor=expanded}{\\color{@orange}{x^2+2x+1}}=25$"},{"latex":"$$\\htmlData{anchor=collected}{\\color{@teal}{2x^2+2x-24}}=0$"},{"latex":"$$\\htmlData{anchor=divided}{\\color{@teal}{x^2+x-12}}=0$"}],"highlights":[{"color":"orange","style":"text-color","anchor":"bracket"},{"color":"orange","style":"text-color","anchor":"expanded"},{"color":"teal","style":"text-color","anchor":"collected"},{"color":"teal","style":"text-color","anchor":"divided"}],"connections":[{"to":"expanded","from":"bracket","color":"orange","label":"expand"},{"to":"collected","from":"expanded","color":"teal","label":"collect terms"},{"to":"divided","from":"collected","color":"teal","label":"divide by 2"}]},"order":1,"title":"Form the quadratic","description":"Expand the bracket, collect like terms, then divide every term by 2. Reaching either quadratic form earns the second method mark (M1)."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x=\\dfrac{-b\\pm\\sqrt{b^2-4ac}}{2a}$"},{"latex":"$$\\htmlData{anchor=substituted}{x=\\dfrac{-1\\pm\\sqrt{1^2-4(1)(-12)}}{2(1)}}$"},{"latex":"$$\\htmlData{anchor=simplified}{x=\\dfrac{-1\\pm7}{2}}$"},{"latex":"$$\\htmlData{anchor=plusroot}{\\color{@sky}{x=3}}$"},{"latex":"$$\\htmlData{anchor=minusroot}{\\color{@orange}{x=-4}}$"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"plusroot"},{"color":"orange","style":"text-color-with-background","anchor":"minusroot"}],"connections":[{"to":"simplified","from":"substituted","color":"purple","label":"square root is 7"},{"to":"plusroot","from":"simplified","color":"sky","label":"use plus"},{"to":"minusroot","from":"simplified","color":"orange","label":"use minus"}]},"order":2,"title":"Apply the formula","description":"Use a = 1, b = 1 and c = -12 in the quadratic formula. Evaluate the plus and minus cases separately; obtaining both roots earns the third method mark (M1)."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$y=\\htmlData{anchor=xthree}{\\color{@sky}{3}}+1$"},{"latex":"$$\\htmlData{anchor=yfour}{\\color{@sky}{y=4}}$"},{"latex":"$$y=\\htmlData{anchor=xminusfour}{\\color{@orange}{-4}}+1$"},{"latex":"$$\\htmlData{anchor=yminusthree}{\\color{@orange}{y=-3}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"xthree"},{"color":"sky","style":"text-color-with-background","anchor":"yfour"},{"color":"orange","style":"text-color","anchor":"xminusfour"},{"color":"orange","style":"text-color-with-background","anchor":"yminusthree"}],"connections":[{"to":"yfour","from":"xthree","color":"sky","label":"substitute"},{"to":"yminusthree","from":"xminusfour","color":"orange","label":"substitute"}]},"order":3,"title":"Find both y-values","description":"Substitute each root into y = x + 1. Finding both corresponding y-values earns the fourth method mark (M1)."},{"type":"text","order":4,"title":"State both solutions","content":"Match each root with its corresponding $y$-value:\n\n$$\n(x,y)=(-4,-3) \\quad \\text{or} \\quad (x,y)=(3,4).\n$$\n\nGiving both complete ordered pairs earns the final accuracy mark (A1)."}]}],"generatedAt":"2026-07-19T16:26:08.436Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":{"methods":[{"id":"5d191032-59ec-4448-8689-6de450763475:substitution_y","label":"Substitution for y","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$y = \frac{}{}\begin{aligned} &x^2 + \big(\\htmlData{anchor=y-var}{\\color{@sky}{y}}\\big)^2 = 25 \\\\ &\\htmlData{anchor=y-expr}{\\color{@sky}{x + 1}} \\end{aligned}$"},{"latex":"$$x^2 + (\\htmlData{anchor=subbed-expr}{\\color{@sky}{x + 1}})^2 = 25$"}],"highlights":[{"color":"sky","style":"box","anchor":"y-var"},{"color":"sky","style":"underline","anchor":"y-expr"}],"connections":[{"to":"subbed-expr","from":"y-expr","color":"sky","label":"substitute","style":"solid"}]},"order":0,"title":"Substitute y into quadratic","description":"We are given two equations:\n\n1. $x^2 + y^2 = 25$\n2. $y = x + 1$\n\nTo solve them using the substitution method for $y$, we take the expression for $y$ from the linear equation and substitute it directly into the quadratic equation."},{"type":"text","order":1,"title":"Expand and simplify","content":"Now, we expand the squared term $(x + 1)^2$ and simplify the equation:\n\n$$(x + 1)^2 = x^2 + 2x + 1$$\n\nSubstitute this back into our equation:\n\n$$x^2 + (x^2 + 2x + 1) = 25$$\n\nCombine the like terms:\n\n$$2x^2 + 2x + 1 = 25$$"},{"type":"text","order":2,"title":"Form a quadratic equation","content":"To solve the quadratic equation, we must set it to $0$ by subtracting $25$ from both sides:\n\n$$2x^2 + 2x - 24 = 0$$\n\nWe can make the equation simpler by dividing every term by $2$:\n\n$$x^2 + x - 12 = 0$$"},{"type":"text","order":3,"title":"Solve for x","content":"Next, we solve $x^2 + x - 12 = 0$ by factorising. We need two numbers that multiply to $-12$ and add up to $1$. These numbers are $+4$ and $-3$:\n\n$$(x + 4)(x - 3) = 0$$\n\nThis gives us two possible values for $x$:\n\n$$x = -4 \\quad \\text{or} \\quad x = 3$$"},{"type":"text","order":4,"title":"Find the corresponding y values","content":"Now substitute both $x$ values back into the linear equation $y = x + 1$ to find their corresponding $y$ values:\n\n- **If $x = -4$:**\n $$y = -4 + 1 = -3$$\n\n- **If $x = 3$:**\n $$y = 3 + 1 = 4$$\n\nThis gives us our two pairs of solutions:\n\n$$(x = -4, y = -3) \\quad \\text{and} \\quad (x = 3, y = 4)$$"}]},{"id":"5d191032-59ec-4448-8689-6de450763475:substitution_x","label":"Substitution for x","steps":[{"type":"text","order":0,"title":"Rearrange the linear equation","content":"To use the **Substitution for x** approach, we start with the linear equation:\n\n$$y = x + 1$$\n\nWe rearrange this equation to express $x$ in terms of $y$ by subtracting $1$ from both sides:\n\n$$x = y - 1$$"},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$x^2 + y^2 = 25$"},{"latex":"$$\text{Substitute } \begin{aligned} \bullet \text{ linear: } \rightarrow &\boxed{\bar{x} = \text{\\htmlData{anchor=sub-val}{\\color{@sky}{y - 1}}}} \\\\ \bullet \text{ quadratic: } \rightarrow &\boxed{(\\text{\\htmlData{anchor=sub-x}{\\color{@sky}{x}}})^2 + y^2 = 25} \\end{aligned}$"},{"latex":"$$(\\color{@sky}{y - 1})^2 + y^2 = 25$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"sub-val"},{"color":"sky","style":"text-color","anchor":"sub-x"}],"connections":[{"to":"sub-x","from":"sub-val","color":"sky","label":"substitute","style":"solid"}]},"order":1,"title":"Substitute into quadratic","description":"Substitute $x = y - 1$ into the quadratic equation $x^2 + y^2 = 25$."},{"type":"text","order":2,"title":"Expand and simplify","content":"Now we expand the brackets and simplify the equation to form a standard quadratic equation in terms of $y$:\n\n$$(y - 1)^2 + y^2 = 25$$\n\n$$(y^2 - 2y + 1) + y^2 = 25$$\n\n$$2y^2 - 2y + 1 = 25$$\n\nSubtract $25$ from both sides to set the quadratic to $0$:\n\n$$2y^2 - 2y - 24 = 0$$\n\nTo make it simpler to solve, divide the entire equation by $2$:\n\n$$y^2 - y - 12 = 0$$"},{"type":"text","order":3,"title":"Solve for y","content":"Next, we factorise the quadratic equation $y^2 - y - 12 = 0$. We need two numbers that multiply to $-12$ and add to $-1$:\n\nThese numbers are $-4$ and $+3$:\n\n$$(y - 4)(y + 3) = 0$$\n\nThis gives two solutions for $y$:\n\n$$y = 4 \\quad \\text{or} \\quad y = -3$$"},{"type":"text","order":4,"title":"Find the x values","content":"Now we substitute our $y$ values back into our rearranged linear equation, $x = y - 1$, to find the corresponding values of $x$:\n\n* **If $y = 4$:**\n $$x = 4 - 1 = 3$$\n\n* **If $y = -3$:**\n $$x = -3 - 1 = -4$$\n\nThus, our two pairs of solutions are:\n\n$$x = 3, y = 4 \\quad \\text{and} \\quad x = -4, y = -3$$"}]},{"id":"5d191032-59ec-4448-8689-6de450763475:graphical","label":"Graphical Method","steps":[{"type":"text","order":0,"title":"Understand the graphical approach","content":"To solve simultaneous equations graphically, we plot both equations on the same coordinate grid. The points where the two graphs intersect represent the solutions to the simultaneous equations."},{"type":"text","order":1,"title":"Identify the circle shape","content":"The first equation is $$x^2 + y^2 = 25$$\n\nThis is a circle centered at the origin $(0, 0)$ with a radius $r$ of:\n$$r = \\sqrt{25} = 5$$\n\nTo sketch this circle, we can plot its key intercepts on the axes:\n- $(5, 0)$ and $(-5, 0)$ on the $x$-axis\n- $(0, 5)$ and $(0, -5)$ on the $y$-axis"},{"type":"text","order":2,"title":"Identify the line shape","content":"The second equation is $$y = x + 1$$\n\nThis is a straight line in the form $y = mx + c$ with gradient $m = 1$ and $y$-intercept $(0, 1)$.\n\nWe can find a few points to plot the line:\n- When $x = 0$, $y = 1 \\implies (0, 1)$\n- When $x = 3$, $y = 3 + 1 = 4 \\implies (3, 4)$\n- When $x = -4$, $y = -4 + 1 = -3 \\implies (-4, -3)$"},{"type":"text","order":3,"title":"Plot the equations","content":"Draw both shapes on a grid:\n1. Draw a perfect circle centered at $(0,0)$ passing through $5$ and $-5$ on both axes.\n2. Draw a straight line passing through $(0, 1)$, $(3, 4)$, and $(-4, -3)$.\n\nObserve where the line crosses the circle. They intersect at exactly two points.","calculator":[{"gdc":{"instructions":"1. Enter the relations or equations into your graphing menu. If your GDC supports relation graphing, enter \$x^2 + y^2 = 25\$ and \$y = x + 1\$.\n2. If not, rewrite the circle as \$y = \\pm\\sqrt{25 - x^2}\$ and graph both halves alongside the line.\n3. Use the 'Intersection' tool (usually under G-Solv or Analyze Graph) to find the intersection points."},"ti84":{"instructions":"To graph a circle on a TI-84, solve for $y$: $y = \\pm \\sqrt{25 - x^2}$.\n1. Press [Y=] and enter:\n \$Y_1 = \\sqrt{25 - X^2}\$\n \$Y_2 = -\\sqrt{25 - X^2}\$\n \$Y_3 = X + 1\$\n2. Press [ZOOM] [5] (ZSquare) so the circle doesn't look like an ellipse.\n3. Press [2nd] [TRACE] [5] (intersect) to find the intersections by selecting the curves and pressing enter near the intersection points."},"desmos":{"expression":"x^2 + y^2 = 25 \\\\ y = x + 1","instructions":"1. In the first expression box, type: `x^2 + y^2 = 25`\n2. In the second expression box, type: `y = x + 1`\n3. Click on the gray intersection dots shown on the graph to reveal their coordinates."},"description":"Plotting a circle and a line to find their intersections using a graphing utility."}]},{"type":"text","order":4,"title":"Read the intersection points","content":"From your graph, read the coordinates of the two points where the line cuts through the circle:\n- One intersection is in the first quadrant at $$(3, 4)$$\n- The other intersection is in the third quadrant at $$(-4, -3)$$\n\nThese coordinate pairs are the solutions to our simultaneous equations."},{"type":"text","order":5,"title":"State the final solutions","content":"The final simultaneous solutions are:\n\n$$x = 3, y = 4$$\n$$\\text{and}$$\n$$x = -4, y = -3$$"}]}],"generatedAt":"2026-06-12T17:20:57.894Z","modelVersion":"gemini-3.5-flash","explanationVersion":"v2"},"firstAttemptFullMarks":{"percent":67},"walkthroughVideo":{"url":"https://assets.mathsgenie.co.uk/walkthroughs/review/0a87ac81-18eb-4ec2-beab-f6456c554d27.mp4","durationSeconds":185,"posterUrl":"https://assets.mathsgenie.co.uk/walkthroughs/review/0a87ac81-18eb-4ec2-beab-f6456c554d27.jpg"}}],"subjectCode":"gcse_maths__wjec","summaries":[{"id":"7212abe4-9d9f-42ce-9fdd-8579125a4d9d","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0680b32b-b3d1-44b4-abe0-df4c06c5f6ee","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0ba0d46b-d87b-46ac-a5ec-7878d09a8849","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0ff0c9c1-2e86-4241-ba9e-d87ac6e80e0d","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"11be48a7-bed0-4b02-addc-2ebcbe272fbc","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"138f77b6-2542-4b2d-b52d-1d094de432b9","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"1cf62487-8b73-4809-8e2f-9d6534316c82","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"22015789-e381-4b4f-bbae-c078b906fcda","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"578e1398-9a05-4dd5-a4cf-e802cd858b76","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"5afa1d3e-b345-4245-b123-3231c57ce4d8","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"5b64e26f-c984-4b4f-a998-70eee47a327f","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"5e9e88ab-b405-442a-b038-baf7a7438a0c","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"694218c4-6fc6-40c4-9b0e-dc620e96e736","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6a051e5d-1130-4612-9b39-cd388c35e097","difficultyBand":"medium","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"70912a76-1f99-4b2e-af96-c9cfe2d51766","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"71a79447-d8d3-45a4-aa21-a8fe538a5530","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"72c14362-829c-4e25-9275-262a44d9c89b","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7a6b6985-38bc-41be-818e-2673e2f2d760","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7c341418-a80b-46cc-9f35-0da380b8a5ae","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"84bb9d09-1354-49bf-918d-4e4fa087f3a0","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"869f4c48-0a7a-4564-90e3-d709e8b0e03d","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"9312d566-1d8c-4634-b06e-3c683f8492d1","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"970da4ba-af59-4354-9e9c-2758ee45b405","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"9854e4cc-35da-431c-9450-f34ab3261782","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"991ccd16-ac91-4f62-8f91-dfee476ce7ab","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"9d0ab159-7531-4fc5-b8a8-094cb630657a","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"a317aad3-9809-4660-a308-22d6850c0dec","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"a9581537-9df6-436d-bcce-675b994cb366","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b0dcdab7-0093-44d0-b193-46e6690b1371","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b14dde9e-11a5-405e-9ff7-e32c5a86bba6","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"ba64323a-522d-444c-bb02-5c99ef808894","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"c28c82de-c1cc-4cc9-98f6-5d65d5267be2","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"c5899e8d-be2a-41bf-b84d-d37d302a1820","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"c669142e-80fd-4605-9c62-20a8292778f0","difficultyBand":"medium","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"cdedc189-dd70-41b6-98aa-4b4e91def0b8","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"cfa4a6c3-9c8b-42bd-b6bd-132ac0dc9f19","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d07eb215-521f-4a28-809b-f2995a111a5e","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d20bfa25-7a9c-475c-b4d9-76659588fdb1","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d42d0673-130b-47df-98cc-6c885d73843e","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d99f993b-5e77-481b-9ae1-ad8279080b5f","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"e47ee960-cfa6-41fe-b131-cc7f3454993c","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"e9e2d8ba-7ebe-4c1b-ac3d-6b9b67a34eee","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"eb3fe762-6dfd-445a-98fc-aa3ebf296a31","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"ebc67428-1641-4dbd-a397-9abbcd4c3783","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f5657b82-e37a-409c-b1f9-fca92d9bd739","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f72c623b-7f0c-4434-9161-1b923ec12c55","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"8967d6cf-a0a3-4c9b-a889-8c19ba92f06c","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"048cb53a-80ca-4a2e-8203-ef1265cdd9c6","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0903cda4-4cca-46d3-953e-3db16ac81c37","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0c7a1512-66a5-447d-90fe-40ec5ce83887","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"161e07e9-b1a4-494d-b933-2bf4960c1fa8","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"1e352f8f-1a27-42c3-8018-9d78537891a5","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"229a2680-f845-4c69-81d9-d6d1c717ab35","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"291da8e5-ff6e-4871-8d0d-c47ac3eda827","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"2ce5a7ea-4ac7-4922-b329-747c2c1ae87f","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"33556887-9fa5-4915-bff7-c0ac20ce6ceb","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"33a6cd98-64cb-458e-a8ca-0df2bc89984c","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"3e101996-1e39-4f79-a514-d84401d85014","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"47bb8a35-2b2f-4144-9cd6-e932909eb1d3","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"4b10a77c-bb79-4f44-a401-60879d93a9f3","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"552d0689-a6f4-42d5-b0a8-fb0714dc2507","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"616d2b75-36ef-4ef6-8178-07cfee628f02","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"62aca8b8-f27e-454a-b8c3-47d17917f8a3","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"63469825-9d6d-4832-8c4b-31a38f6d3780","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"684f9fa4-33a0-4a05-9bc8-7d7fc063dd54","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6a16a90a-474e-4e88-808f-62396e81acf8","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6b81dd49-5c7c-48b2-a0ed-afe29dc0500c","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6c969d4d-d1ff-40d1-9628-92e2b85a724d","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6ebc1f0f-4650-4491-8fa8-c41d6685d8a1","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6fba00a3-7b76-432f-8f5d-2223b6c7f3e8","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"70f54cc5-9dd6-4900-b5cc-c1fbde68f37c","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"75e3de09-ace4-4a71-b699-bd68ff9e389d","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7d43274d-652d-4af2-82bc-a6b72d8413a1","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"889b034d-ed71-43ad-9b74-8cf9fe37a82e","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"9e31b6ca-12d8-4418-b9f2-505c821192eb","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"a437249b-28da-4ff6-afa8-91bf31b9fb0a","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"a5e534a1-7dd3-44b8-b438-c214eb684a8d","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b3b6729e-aabc-401a-8516-e843c65b271c","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b3bef09a-f263-4354-8b88-9e346c50a7c5","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"ba6e3824-664e-4fac-b24c-5ec99f0f9a06","difficultyBand":"medium","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"c03bb703-b268-412d-a991-0cc6584752fc","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"c381767f-13ea-4db3-bd71-973d12d538a6","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"c92f0dda-f65f-4419-9f94-e9aa0a5ebab8","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d2f5a931-575c-4fc3-953b-3511a5463003","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"da1bfa8c-6197-4ce4-89b7-198f592ef47a","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"da1c9ae4-8bc0-49ca-9ac0-b0b5a9c7b6bf","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"dce5eb2d-315e-483f-8681-21e1a78faf32","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"de9806ee-2e44-4522-8e18-579e433e9a20","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"df8faeff-4885-4fa5-b2be-76ced40122ea","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"e18737a3-a789-4f89-b0e3-63dd221caa9a","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f9735da6-8082-4e11-98e6-3ddeea0af030","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"fee9696c-12db-42f3-a91b-785d4259fc3d","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b20542fc-ffdf-4b3a-93e1-315ed79a8a42","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"033df3f8-2d93-401a-82fd-774b2c2e3c48","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0bd5e55f-1976-4ac2-9a47-02c197b151a4","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0ce2920e-a58c-4397-9ec2-0caaee81561a","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"0fca1793-0e9f-4fbb-a792-112a8c381092","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"12a6ecf0-fe85-4274-ad9b-8e55ff9b66b7","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"17954a32-da14-4fd3-ac5e-c5dab5453e09","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"1d6c01fb-f7e6-4372-8fb7-31ce97bb1a39","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"1f12944c-485e-4540-b101-e1f700e2ab06","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"23260a47-dd14-4cf7-bf4f-4b965d43c1a3","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"2999fe72-7b2d-4af0-a8ae-b8a2c486b7e0","difficultyBand":"medium","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"2d9a0723-1027-463e-875b-67b4feffebed","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"39dd8ed9-78d2-4de1-b89a-5e291df21e9e","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"3f9f2f48-7d65-4cf1-9586-3fc89b1b74ae","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"5d9f9301-72ba-41c5-bc6d-86ca8b92dc90","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"5df8daf2-3c07-470b-8932-1d0e013af405","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"61acdb63-5512-4c7d-bab9-56e3f173cc32","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6bf3ef10-1566-45dd-a138-8b73567a22f9","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6e8021a0-d213-4fcf-83a6-f32d24669a08","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7616ead7-93a8-4b6b-92a4-c6ee76d82c7a","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7822ff2f-954f-413c-acb7-84282c88d397","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7d19c773-d554-4b05-955b-54e0e440a5bb","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7ee4bf28-e15c-422c-8ae9-f2400d6fc40d","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"84e4c850-47bb-4c2c-8ab1-d769c3fd9ce0","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"8cbd58df-351c-4773-8a6b-a55e2ddc602e","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"8eb6048b-4f4e-451c-863d-a139a39abaed","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"903a801d-fd79-426b-bb75-155d7487824e","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"914d10a2-a8a9-4c2d-8999-98c94c6d067d","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"9f7d08f2-aecf-44a1-9da2-5da49492166d","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"a21b063e-038d-4bd9-9ec2-b100c71ffea3","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"aa267c05-330a-44fe-baba-923b180d5b63","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b8cf0eed-1444-41fd-a2fc-e40a7f5cc9be","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"bb5f89a2-88ea-4fc3-9e55-83e6186a77e9","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"c73fbede-a3f3-45f9-85fb-b4fcbc5aeea5","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"ce0a2b19-bf74-4bc7-b9cf-5221f4ac0169","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d4e9feaa-d9c4-48bb-93ac-da0c172d00ca","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d9a47659-a08e-43b6-a783-af896072ee5f","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"daa14c8a-7c22-462c-87fd-ba60cbd91dab","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"db000580-4d7b-4eac-9eb0-d8760d28ff48","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"dd16c54b-7212-49ad-8503-d54273270954","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"e630ad7b-c78f-4809-b798-aa79068019a1","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"eb2f0a17-5c92-4534-94ee-ca8ff4a52db5","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f527942d-6a29-4f81-ae26-01a0fea1759a","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f62c576f-f170-4436-832c-bc634f5e8a1b","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f8e919e7-3556-41a8-808c-9d2b31f8d57c","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f9b845c0-eb71-486e-98ce-9340ec13ef70","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"3b904eb2-ef8b-4429-a23a-a1897aae93d4","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"280ee4f5-3d8c-47ee-8c7f-ecfc095c02df","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"2e18b02b-dc1b-41a8-b9e2-bb65596103a6","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"5bcd4fee-4bab-47b0-a058-0641b4cd7c6c","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"8906efab-15f8-44aa-836e-b76d8b7b860e","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"8c578d33-58c5-4d28-b60b-edb09cc27308","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b129aa72-3522-46ee-95f5-fba6268b8765","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"beb3506d-7352-4b3c-876b-e6c2410b0034","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d9bf9d3d-3712-4f1c-8c79-82893d2db388","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f412d24f-89a0-45eb-a3d6-aca483ecff44","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"71e7496b-369f-40f8-b324-81f5af11721e","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"2b057db0-b402-4c49-9fc2-ef93618538ff","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"7331f9b6-45c2-4fc9-a36f-e2df95a4741c","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"860bec22-a0b2-4985-8e7e-ca9f30b8b9cc","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"9e666c1a-b4f8-478f-899d-0c49c4182f15","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"a97709f3-2d86-4e5d-8e75-8ac3f21b6896","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b265e246-8e4a-4a67-8c37-503f439653fd","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"bbd538a3-a575-4c41-879d-796ca4e6054c","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"cfe4c799-1a86-44ba-bc0f-98a0b703f7ff","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"e841af4d-5a82-4b39-a51c-b4a2221a005d","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"ca342c58-a663-46e3-bf62-633970cc9e3d","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"3ff315c2-371c-4849-8d1c-9b71179fccce","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"4abe5869-43f5-49ac-9ea8-9abf7bb2c75e","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"5eb2ce1c-48ab-410f-b0ff-7bc5f9c86058","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"77d076dc-d9f0-423c-ae9b-80321db6e728","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"a3cd237e-388d-4e91-9e32-a8702b7ff27d","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"aba1350f-658d-422d-9ba6-6b382dd62254","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"ae1b6587-b9f5-4341-bc70-219a221ca060","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f0e7fa5f-7355-4801-819f-2569b080a268","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"fee9ecb0-5b50-4144-ace3-85dc7a69c1b6","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"384f6806-2a91-4cfb-a63f-537f483ec88c","difficultyBand":"hard","calculatorUse":"calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"437aa13e-76fa-4784-a6f7-96dd3479bc33","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"45c20dc2-3b89-439f-ae88-3ad0f21dfd29","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"4fad4c84-6a02-427f-9610-91f779a34449","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"69cc033c-a917-413b-a14f-bb11ae1d8a6d","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"a3473fd6-cfa9-4e7a-87c2-4d322ddbbb6e","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"c86aeb38-cd99-4075-9a53-6dd7a7ef2afd","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"cb007329-d403-4593-afc3-ffa7d917e07a","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"df216fb6-5e98-4a22-9866-53d1ee3cb0bb","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"3766db07-df66-4b26-99bc-866703ff0a34","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"32fe53d7-60ee-484c-80ae-9aea1815dcae","difficultyBand":"hard","calculatorUse":null,"totalMarks":6,"questionType":"LA","isCalculation":true},{"id":"36b8dd33-757e-4518-93bb-46f6699c71cd","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"3725a3e7-1370-4223-9be5-3869acb1b20a","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"3e0ffe52-8b36-4981-964e-f2b4ad63a656","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"6480d332-7921-4827-9534-413dffba7e55","difficultyBand":"medium","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"9652fcb4-f1d8-4f56-aa2e-648805eae9cf","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b8ff6e8f-ef09-4cc6-99e2-7ae5f9164019","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"d2bb4169-1904-4cc9-a22f-c766b14b9b21","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"e8c38605-8c87-47ae-bbc4-6e999ca0705a","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f18b77b0-1957-4df7-884e-3e7973bb6ed2","difficultyBand":"hard","calculatorUse":"non_calc","totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"054f70f5-f12b-4321-b8df-a5230b14ed0d","difficultyBand":"hard","calculatorUse":null,"totalMarks":7,"questionType":"LA","isCalculation":true},{"id":"1b0928ac-72b6-4513-80aa-ec0566efe62a","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"302b1764-f7c5-4f8e-850e-10ad8fb8baad","difficultyBand":"hard","calculatorUse":null,"totalMarks":6,"questionType":"LA","isCalculation":true},{"id":"47e1b392-5faf-4eb2-ab4d-46334871e097","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"690c1f8c-0654-4b0b-af84-d26b2dc5cffc","difficultyBand":"hard","calculatorUse":null,"totalMarks":6,"questionType":"LA","isCalculation":true},{"id":"afe479d3-10a4-4579-944a-fd65157c11d2","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"ba319342-c560-438b-a02d-62a4f11c9cc2","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f0facfac-eb63-41a0-a2ae-91f6f0f4d387","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"fa063693-a84f-4ed1-b07b-5f63cb95ac75","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"280c9511-9a5a-4086-9148-b19674d63a15","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"7caa77b7-35bb-4c53-983e-9c57e39d038b","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"86aecece-3a60-4d67-9d55-fd0ba8836562","difficultyBand":"hard","calculatorUse":null,"totalMarks":6,"questionType":"LA","isCalculation":true},{"id":"9426982d-386d-483e-b775-e8afbeeff28f","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"949fac61-5c0a-45c4-b6b9-b418e23de2c1","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"b767b774-abab-46c9-bb11-57cb53f45158","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"de7a8331-f330-4fb7-913e-152de0dcecc2","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"efdc69fe-5c69-4453-8b38-562a0d33d72e","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"fd7b79f7-ecf9-4ee0-a6bb-45c840d62dec","difficultyBand":"easy","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"4a590f0a-dcb9-4c5f-9f75-661724a7b65d","difficultyBand":"easy","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"4eba19db-bd49-4174-98f3-e3d116da2600","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"67f56474-d331-415d-b706-d14d213b2661","difficultyBand":"hard","calculatorUse":null,"totalMarks":7,"questionType":"LA","isCalculation":true},{"id":"9000451a-a5f9-4f80-b987-872efce251d1","difficultyBand":"hard","calculatorUse":null,"totalMarks":6,"questionType":"LA","isCalculation":true},{"id":"9c270805-2d1e-458f-b165-5621d52ae5f0","difficultyBand":"hard","calculatorUse":null,"totalMarks":7,"questionType":"LA","isCalculation":true},{"id":"c5ea7d01-78ea-4bcc-9f76-f4ab4d68c771","difficultyBand":"hard","calculatorUse":null,"totalMarks":6,"questionType":"LA","isCalculation":true},{"id":"cc02cabb-a8d9-4002-8d17-8742b6096192","difficultyBand":"easy","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"dd71252d-0356-4a9f-a015-4f4f1ad123ef","difficultyBand":"hard","calculatorUse":null,"totalMarks":7,"questionType":"LA","isCalculation":true},{"id":"558ee3e6-69da-43f7-bdd3-e59dbc734f23","difficultyBand":"easy","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"6225e344-aab8-4ca7-a113-7bd931d76e91","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"76413fae-7b8d-4f24-89f4-b32f6426daa2","difficultyBand":"easy","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"bbae018e-7460-4278-9ff3-88bbfce484f4","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"f6b6d533-df4a-4702-add1-55009a3c74ab","difficultyBand":"medium","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"12600f84-5297-42a9-8a15-53cba61423d2","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":true},{"id":"2a7cd7b3-4ae2-4b29-a01a-03d319e18b80","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"7302fdec-a1ca-48ef-86f3-d7d1903dd882","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false},{"id":"bd373b7a-d534-465a-a7c6-bcb70c2afcdf","difficultyBand":"hard","calculatorUse":null,"totalMarks":5,"questionType":"LA","isCalculation":false}],"title":"Quadratic Simultaneous Equations","topicId":"478d0b8d-ed3c-0e2d-8cc0-e5609f80123a","topicSidebar":"$L3a","topicSlug":"grade-8-9-8-1-quadratic-simultaneous-equations","topicTitle":"Quadratic Simultaneous Equations"}]}],"$L3b","$L3c"]}]