34:I[651451,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"UserProgressProvider"] 35:I[196793,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"Gingerbread"] 37:I[716297,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"TopicRecentlyViewed"] 38:I[647935,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"RecordResourceResume"] 39:I[426249,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789472674","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789472674","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789472674","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789472674","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789472674","/_next/static/chunks/0br-rafekpauh.js?dpl=nogit-1789472674","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789472674","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789472674","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789472674","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789472674","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789472674","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789472674","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789472674","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789472674","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789472674","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789472674","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789472674","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789472674","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789472674","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789472674","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789472674","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789472674","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789472674","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789472674","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789472674","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789472674","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789472674","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789472674","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789472674","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789472674","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789472674","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789472674","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789472674","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789472674","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789472674","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789472674","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789472674","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789472674","/_next/static/chunks/20xy3ur1zq5mk.js?dpl=nogit-1789472674","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789472674","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789472674","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789472674","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789472674","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789472674","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789472674","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789472674","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789472674","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789472674","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789472674","/_next/static/chunks/14ynz93rnm6_r.js?dpl=nogit-1789472674","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789472674","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789472674","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789472674","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789472674","/_next/static/chunks/3xskuweujaw05.js?dpl=nogit-1789472674","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789472674","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789472674","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789472674","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789472674","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789472674","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789472674","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789472674","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789472674","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789472674","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789472674","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789472674","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789472674","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789472674","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789472674","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789472674"],"TopicQuestionBank"] 24:["$","$L34",null,{"bundle":{"topicIds":["b115e98e-72c2-4592-aaa8-07de09996ab9"],"paperIds":[],"stageIds":[],"stageTopicIds":[],"stageAssessmentIds":[],"topicNoteIds":[]},"children":[["$","$L35",null,{"feature":"question-bank"}],"$L36",["$","$L37",null,{"subjectCode":"igcse_maths","subjectName":"Maths","topicSlug":"grade-5-5-8-simultaneous-equations","topicTitle":"Simultaneous Equations","sectionTitle":null,"activity":"worksheet","resourceTitle":"Simultaneous Equations Questions","resourceHref":"/igcse/maths/edexcel/grade-5-5-8-simultaneous-equations/questions/q1","saveTrail":false}],["$","$L38",null,{"href":"/igcse/maths/edexcel/grade-5-5-8-simultaneous-equations/questions/q1","label":"Simultaneous Equations","subjectCode":"igcse_maths","surface":"questions"}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"LearningResource\",\"name\":\"Question 12 – Simultaneous Equations - IGCSE Maths Questions\",\"description\":\"Practise Simultaneous Equations IGCSE Maths exam-style questions with worked solutions on MathsGenie.\",\"learningResourceType\":\"Practice questions\",\"educationalLevel\":\"IGCSE\",\"about\":{\"@type\":\"Thing\",\"name\":\"Simultaneous Equations\"},\"url\":\"https://mathsgenie.co.uk/igcse/maths/edexcel/grade-5-5-8-simultaneous-equations/questions/q12\",\"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":"/igcse/maths/edexcel/questions","basePath":"/igcse/maths/edexcel/grade-5-5-8-simultaneous-equations/questions","formulaUrl":null,"initialIndex":11,"initialQuestionWindow":[{"id":"d6c4e2bd-e7e0-4b82-8177-71882f13dc11","revisionId":"66c28412-0a51-4025-a73a-057c2f386fbc","questionNumber":"11","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"medium","totalMarks":3,"sourceTitle":"Simultaneous Equations","calculatorUse":null,"isCalculation":true,"parts":[{"id":"5ba7f8ef-2e21-446b-8a30-013d2b7b9ac6","label":"0","content":"Solve the simultaneous equations\n\n$$\\begin{aligned} 3x &= 9 + y \\\\ x + 5y &= 5 \\end{aligned}$$","markscheme":"- Rearranges first equation to $3x - y = 9$ M1\n- Multiplies second equation by 3 and subtracts to find $y = \\frac{3}{8}$ M1\n- Substitutes $y$ to find $x = \\frac{25}{8}$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Rearranges equations into standard form $ax + by = c$.","code":"M"},{"id":"p2","marks":1,"description":"Eliminates a variable and finds the value of $y$ or $x$.","code":"M"},{"id":"p3","marks":1,"description":"Correct values: $x = 3.125$ and $y = 0.375$.","code":"A"}],"finalAnswers":["x=25/8, y=3/8"],"generatedAt":"2026-05-07T01:58:24.365Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"elimination","label":"Elimination","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"3x=9+\\htmlData{anchor=y_initial}{\\color{@sky}{y}}"},{"latex":"3x-\\htmlData{anchor=y_subtracted}{\\color{@sky}{y}}=9"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"y_initial"},{"color":"sky","style":"text-color-with-background","anchor":"y_subtracted"}],"connections":[{"to":"y_subtracted","from":"y_initial","color":"sky","label":"subtract y"}]},"order":1,"title":"Rearrange the first equation","description":"Subtract y from both sides of the first equation. M1: Rearranging gives 3x - y = 9."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=second_eq}{x+5y=5}"},{"latex":"\\htmlData{anchor=multiplied_eq}{3x+15y=15}"},{"latex":"\\left(\\htmlData{anchor=subtract_x_a}{\\color{@sky}{3x}}+15y\\right)-\\left(\\htmlData{anchor=subtract_x_b}{\\color{@sky}{3x}}-y\\right)=15-9"},{"latex":"\\htmlData{anchor=y_sixteen}{16y=6}"},{"latex":"\\htmlData{anchor=y_answer}{\\color{@green}{y=\\frac{3}{8}}}"}],"highlights":[{"color":"green","style":"text-color","anchor":"y_answer"},{"color":"sky","style":"text-color","anchor":"subtract_x_a"},{"color":"sky","style":"text-color","anchor":"subtract_x_b"}],"connections":[{"to":"multiplied_eq","from":"second_eq","color":"orange","label":"multiply by 3"},{"to":"subtract_x_a","from":"multiplied_eq","color":"sky","label":"subtract first equation"},{"to":"y_answer","from":"y_sixteen","color":"green","label":"divide by 16"}]},"order":3,"title":"Eliminate x","description":"Multiply the second equation by 3, then subtract the first equation. The matching 3x terms cancel. M1: Multiply the second equation by 3 and subtract the first to get y = 3/8."},{"type":"hyper_latex","block":{"nodes":[{"latex":"3x-\\htmlData{anchor=three_eighths_sub}{\\color{@sky}{\\frac{3}{8}}}=9"},{"latex":"3x=9+\\htmlData{anchor=three_eighths_add}{\\color{@sky}{\\frac{3}{8}}}"},{"latex":"\\htmlData{anchor=three_x_result}{\\color{@green}{3x}}=\\frac{75}{8}"},{"latex":"\\htmlData{anchor=x_answer}{\\color{@green}{x=\\frac{25}{8}}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"three_eighths_sub"},{"color":"sky","style":"text-color-with-background","anchor":"three_eighths_add"},{"color":"green","style":"text-color-with-background","anchor":"three_x_result"},{"color":"green","style":"text-color-with-background","anchor":"x_answer"}],"connections":[{"to":"three_eighths_add","from":"three_eighths_sub","color":"sky","label":"add 3/8"},{"to":"x_answer","from":"three_x_result","color":"green","label":"divide by 3"}]},"order":5,"title":"Find the value of x","description":"Substitute 3/8 for y in the rearranged equation, then solve for x. A1: Substitute y = 3/8 to get x = 25/8."}]}],"generatedAt":"2026-07-21T04:18:14.469Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"6586e07e-4619-4d92-9b2a-e1823a0a8881","revisionId":"102055e2-3b7d-42fe-98af-aceddfa718ec","questionNumber":"12","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"medium","totalMarks":3,"sourceTitle":"Simultaneous Equations","calculatorUse":null,"isCalculation":true,"parts":[{"id":"25c98d03-3e27-4559-879d-52493afc65c7","label":"0","content":"Solve the simultaneous equations\n\n$$\\begin{aligned} 3y + 11 &= 4x \\\\ 10x + 2y + 1 &= 0 \\end{aligned}$$","markscheme":"- Rearranges equations to $4x - 3y = 11$ and $10x + 2y = -1$ M1\n- Multiplies to equate coefficients and finds $y = -3$ M1\n- Substitutes $y = -3$ to find $x = 0.5$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Rearranges both equations into standard form $ax + by = c$.","code":"M"},{"id":"p2","marks":1,"description":"Eliminates a variable and finds $y = -3$.","code":"M"},{"id":"p3","marks":1,"description":"Correct values: $x = 0.5$ and $y = -3$.","code":"A"}],"finalAnswers":["x=0.5, y=-3"],"generatedAt":"2026-05-07T01:58:24.365Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"d79a855f-35b0-4930-9776-902f29e2b7a4","revisionId":"2b6268a5-bc36-4fea-b1e3-d9121648d1b7","questionNumber":"13","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"medium","totalMarks":3,"sourceTitle":"Simultaneous Equations","calculatorUse":null,"isCalculation":true,"parts":[{"id":"95269c29-c0dd-440d-b95a-1ff4451364f4","label":"0","content":"In a shop 2 coffees and 3 cakes cost £9.95\nIn the same shop 1 coffee and 4 cakes cost £10.35.\n\nWork out the price for one coffee and the price for one cake.","markscheme":"- Sets up equations $2x + 3y = 9.95$ and $x + 4y = 10.35$ M1\n- Multiplies second equation by 2 and subtracts to find $y = 2.15$ M1\n- Substitutes $y = 2.15$ to find $x = 1.75$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Sets up two correct simultaneous equations from the context.","code":"M"},{"id":"p2","marks":1,"description":"Eliminates a variable and finds the price of one item.","code":"M"},{"id":"p3","marks":1,"description":"Correct prices: Coffee £1.75 and Cake £2.15.","code":"A"}],"finalAnswers":["Coffee 1.75, Cake 2.15"],"generatedAt":"2026-05-07T01:58:24.365Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"elimination","label":"Elimination","steps":[{"type":"text","order":0,"title":"Choose the variables","content":"Let $x$ be the price of one coffee, in pounds, and let $y$ be the price of one cake, in pounds.","highlights":[{"text":"Work out the price for one coffee and the price for one cake.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=first}{\\color{@sky}{2x+3y=9.95}}"},{"latex":"\\htmlData{anchor=second}{\\color{@green}{x+4y=10.35}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"first"},{"color":"green","style":"text-color-with-background","anchor":"second"}]},"order":1,"title":"Form two equations","description":"Turn each shopping total into an equation. This earns the first method mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=original}{\\color{@green}{x+4y=10.35}}"},{"latex":"\\htmlData{anchor=doubled}{\\color{@orange}{2x+8y=20.70}}"},{"latex":"\\htmlData{anchor=subtraction}{\\color{@sky}{(2x+8y)-(2x+3y)=20.70-9.95}}"},{"latex":"\\htmlData{anchor=simplified}{\\color{@teal}{5y=10.75}}"},{"latex":"\\htmlData{anchor=cake}{\\color{@teal}{y=2.15}}"}],"highlights":[{"color":"teal","style":"text-color-with-background","anchor":"cake"}],"connections":[{"to":"doubled","from":"original","color":"orange","label":"multiply by 2"},{"to":"subtraction","from":"doubled","color":"sky","label":"subtract first equation"},{"to":"simplified","from":"subtraction","color":"teal","label":"collect like terms and calculate"},{"to":"cake","from":"simplified","color":"teal","label":"divide by 5"}]},"order":2,"title":"Eliminate the coffee","description":"Make the x coefficients equal, then subtract the first equation. Multiplying the second equation by 2 and subtracting to obtain y = 2.15 earns the second method mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=original}{\\color{@green}{x+4y=10.35}}"},{"latex":"\\htmlData{anchor=substituted}{\\color{@orange}{x+4(2.15)=10.35}}"},{"latex":"\\htmlData{anchor=product}{\\color{@amber}{x+8.60=10.35}}"},{"latex":"\\htmlData{anchor=rearranged}{\\color{@sky}{x=10.35-8.60}}"},{"latex":"\\htmlData{anchor=coffee}{\\color{@sky}{x=1.75}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"coffee"}],"connections":[{"to":"substituted","from":"original","color":"orange","label":"substitute y = 2.15"},{"to":"product","from":"substituted","color":"amber","label":"calculate 4 × 2.15"},{"to":"rearranged","from":"product","color":"sky","label":"subtract 8.60 from both sides"},{"to":"coffee","from":"rearranged","color":"sky","label":"subtract 8.60"}]},"order":3,"title":"Find the coffee price","description":"Substitute the cake price into the simpler original equation, then solve for x. This earns the final accuracy mark. So one coffee costs £1.75 and one cake costs £2.15."}]}],"generatedAt":"2026-07-21T04:24:57.896Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"igcse_maths","summaries":[{"id":"8147d4f3-4573-4d0b-be74-6fadb7f7af46","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"b36b8b68-a092-460f-baf0-55bb8d4de637","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"ae7b0e73-3deb-4449-ba25-2daa95261fe6","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"a8fe2b10-0270-4cd4-abb1-7f192ef55745","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"5fa8c900-e93a-47fc-9d15-98beb1042d51","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"843797e3-c08d-4d49-ba9e-c9c84d6b1d47","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"26393c00-9646-48ae-9f1f-7cedf8bec494","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"bcbb4573-39b1-4a1a-b79b-c690ec56dea3","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"c78a11c0-af48-4f4f-a023-23dfdbcb16df","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"0c738364-9c49-4262-afb5-e192b3685b8c","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"d6c4e2bd-e7e0-4b82-8177-71882f13dc11","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"6586e07e-4619-4d92-9b2a-e1823a0a8881","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"d79a855f-35b0-4930-9776-902f29e2b7a4","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"13d8f2ec-aa95-4f96-9fca-b24a0f1853f0","difficultyBand":"medium","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true}],"title":"Simultaneous Equations","topicId":"b115e98e-72c2-4592-aaa8-07de09996ab9","topicSidebar":"$L3a","topicSlug":"grade-5-5-8-simultaneous-equations","topicTitle":"Simultaneous Equations"}]}],"$L3b","$L3c"]}]

Simultaneous Equations

Question 11

Simultaneous Equations Questions

Simultaneous Equations

Question 11

Simultaneous Equations Questions