34:I[196793,["/_next/static/chunks/3j31_2qapmh60.js?dpl=nogit-1792405568","/_next/static/chunks/313vt9_f08mnn.js?dpl=nogit-1792405568","/_next/static/chunks/2_6olli-sutu3.js?dpl=nogit-1792405568","/_next/static/chunks/09bcgz1lr6dab.js?dpl=nogit-1792405568","/_next/static/chunks/0tzbwbomzrnqw.js?dpl=nogit-1792405568","/_next/static/chunks/14trqrdc9kqx-.js?dpl=nogit-1792405568","/_next/static/chunks/2lsi6eli88uwt.js?dpl=nogit-1792405568","/_next/static/chunks/0zsno9tz6vkpw.js?dpl=nogit-1792405568","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1792405568","/_next/static/chunks/11md10s8bxc41.js?dpl=nogit-1792405568","/_next/static/chunks/0oqj6s0nlv2xz.js?dpl=nogit-1792405568","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1792405568","/_next/static/chunks/0myxz4gywm9of.js?dpl=nogit-1792405568","/_next/static/chunks/38w1x0vrld4-w.js?dpl=nogit-1792405568","/_next/static/chunks/3z1ylg82-_yrl.js?dpl=nogit-1792405568","/_next/static/chunks/230359bhbwn7h.js?dpl=nogit-1792405568","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1792405568","/_next/static/chunks/2_v9g5x0fx29m.js?dpl=nogit-1792405568","/_next/static/chunks/0r0qwy8stn_uo.js?dpl=nogit-1792405568","/_next/static/chunks/11kq2otno6-oj.js?dpl=nogit-1792405568","/_next/static/chunks/10j6l_dhgof6p.js?dpl=nogit-1792405568","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1792405568","/_next/static/chunks/3fr9hkx77wvja.js?dpl=nogit-1792405568","/_next/static/chunks/3adfywl6-8_k3.js?dpl=nogit-1792405568","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1792405568","/_next/static/chunks/1vqil3_m7bft1.js?dpl=nogit-1792405568","/_next/static/chunks/40cqw2xvsic28.js?dpl=nogit-1792405568","/_next/static/chunks/3j5g1ks7ljj92.js?dpl=nogit-1792405568","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1792405568","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1792405568","/_next/static/chunks/2p5xv3ji4tpih.js?dpl=nogit-1792405568","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1792405568","/_next/static/chunks/2a2ryz-j6u084.js?dpl=nogit-1792405568","/_next/static/chunks/2o9c7zxab747y.js?dpl=nogit-1792405568","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1792405568","/_next/static/chunks/2zjfedap7f8sc.js?dpl=nogit-1792405568","/_next/static/chunks/3it1o0ex-l5qz.js?dpl=nogit-1792405568","/_next/static/chunks/3nnmps7-hhzc_.js?dpl=nogit-1792405568","/_next/static/chunks/0wg6314tous77.js?dpl=nogit-1792405568","/_next/static/chunks/1u3eptdza7lch.js?dpl=nogit-1792405568","/_next/static/chunks/2mo1yi9s3sppb.js?dpl=nogit-1792405568","/_next/static/chunks/1w193fj-lcfgs.js?dpl=nogit-1792405568","/_next/static/chunks/0_95ok1we81_2.js?dpl=nogit-1792405568","/_next/static/chunks/1gz0d2bu8bcyn.js?dpl=nogit-1792405568","/_next/static/chunks/00k10pkv-tsak.js?dpl=nogit-1792405568","/_next/static/chunks/12rdo7yi_xy67.js?dpl=nogit-1792405568","/_next/static/chunks/29add9pj_xa2g.js?dpl=nogit-1792405568","/_next/static/chunks/2xx3y5ow--aem.js?dpl=nogit-1792405568","/_next/static/chunks/42ur87elx-dz3.js?dpl=nogit-1792405568","/_next/static/chunks/3ibs-m0_upaf_.js?dpl=nogit-1792405568","/_next/static/chunks/3nfomzjk3zoe-.js?dpl=nogit-1792405568","/_next/static/chunks/0horbp43y5c_k.js?dpl=nogit-1792405568","/_next/static/chunks/3ttet-2qytkke.js?dpl=nogit-1792405568","/_next/static/chunks/2-1ciy1x4js7n.js?dpl=nogit-1792405568","/_next/static/chunks/32s6q_rspd3hd.js?dpl=nogit-1792405568","/_next/static/chunks/0g1nv87sz_mxq.js?dpl=nogit-1792405568","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1792405568","/_next/static/chunks/1vjwc_dfj8v1b.js?dpl=nogit-1792405568","/_next/static/chunks/30u3fsn115_1j.js?dpl=nogit-1792405568","/_next/static/chunks/2wrktd_v4ahrw.js?dpl=nogit-1792405568","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1792405568"],"Gingerbread"] 36:I[647935,["/_next/static/chunks/3j31_2qapmh60.js?dpl=nogit-1792405568","/_next/static/chunks/313vt9_f08mnn.js?dpl=nogit-1792405568","/_next/static/chunks/2_6olli-sutu3.js?dpl=nogit-1792405568","/_next/static/chunks/09bcgz1lr6dab.js?dpl=nogit-1792405568","/_next/static/chunks/0tzbwbomzrnqw.js?dpl=nogit-1792405568","/_next/static/chunks/14trqrdc9kqx-.js?dpl=nogit-1792405568","/_next/static/chunks/2lsi6eli88uwt.js?dpl=nogit-1792405568","/_next/static/chunks/0zsno9tz6vkpw.js?dpl=nogit-1792405568","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1792405568","/_next/static/chunks/11md10s8bxc41.js?dpl=nogit-1792405568","/_next/static/chunks/0oqj6s0nlv2xz.js?dpl=nogit-1792405568","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1792405568","/_next/static/chunks/0myxz4gywm9of.js?dpl=nogit-1792405568","/_next/static/chunks/38w1x0vrld4-w.js?dpl=nogit-1792405568","/_next/static/chunks/3z1ylg82-_yrl.js?dpl=nogit-1792405568","/_next/static/chunks/230359bhbwn7h.js?dpl=nogit-1792405568","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1792405568","/_next/static/chunks/2_v9g5x0fx29m.js?dpl=nogit-1792405568","/_next/static/chunks/0r0qwy8stn_uo.js?dpl=nogit-1792405568","/_next/static/chunks/11kq2otno6-oj.js?dpl=nogit-1792405568","/_next/static/chunks/10j6l_dhgof6p.js?dpl=nogit-1792405568","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1792405568","/_next/static/chunks/3fr9hkx77wvja.js?dpl=nogit-1792405568","/_next/static/chunks/3adfywl6-8_k3.js?dpl=nogit-1792405568","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1792405568","/_next/static/chunks/1vqil3_m7bft1.js?dpl=nogit-1792405568","/_next/static/chunks/40cqw2xvsic28.js?dpl=nogit-1792405568","/_next/static/chunks/3j5g1ks7ljj92.js?dpl=nogit-1792405568","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1792405568","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1792405568","/_next/static/chunks/2p5xv3ji4tpih.js?dpl=nogit-1792405568","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1792405568","/_next/static/chunks/2a2ryz-j6u084.js?dpl=nogit-1792405568","/_next/static/chunks/2o9c7zxab747y.js?dpl=nogit-1792405568","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1792405568","/_next/static/chunks/2zjfedap7f8sc.js?dpl=nogit-1792405568","/_next/static/chunks/3it1o0ex-l5qz.js?dpl=nogit-1792405568","/_next/static/chunks/3nnmps7-hhzc_.js?dpl=nogit-1792405568","/_next/static/chunks/0wg6314tous77.js?dpl=nogit-1792405568","/_next/static/chunks/1u3eptdza7lch.js?dpl=nogit-1792405568","/_next/static/chunks/2mo1yi9s3sppb.js?dpl=nogit-1792405568","/_next/static/chunks/1w193fj-lcfgs.js?dpl=nogit-1792405568","/_next/static/chunks/0_95ok1we81_2.js?dpl=nogit-1792405568","/_next/static/chunks/1gz0d2bu8bcyn.js?dpl=nogit-1792405568","/_next/static/chunks/00k10pkv-tsak.js?dpl=nogit-1792405568","/_next/static/chunks/12rdo7yi_xy67.js?dpl=nogit-1792405568","/_next/static/chunks/29add9pj_xa2g.js?dpl=nogit-1792405568","/_next/static/chunks/2xx3y5ow--aem.js?dpl=nogit-1792405568","/_next/static/chunks/42ur87elx-dz3.js?dpl=nogit-1792405568","/_next/static/chunks/3ibs-m0_upaf_.js?dpl=nogit-1792405568","/_next/static/chunks/3nfomzjk3zoe-.js?dpl=nogit-1792405568","/_next/static/chunks/0horbp43y5c_k.js?dpl=nogit-1792405568","/_next/static/chunks/3ttet-2qytkke.js?dpl=nogit-1792405568","/_next/static/chunks/2-1ciy1x4js7n.js?dpl=nogit-1792405568","/_next/static/chunks/32s6q_rspd3hd.js?dpl=nogit-1792405568","/_next/static/chunks/0g1nv87sz_mxq.js?dpl=nogit-1792405568","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1792405568","/_next/static/chunks/1vjwc_dfj8v1b.js?dpl=nogit-1792405568","/_next/static/chunks/30u3fsn115_1j.js?dpl=nogit-1792405568","/_next/static/chunks/2wrktd_v4ahrw.js?dpl=nogit-1792405568","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1792405568"],"RecordResourceResume"] 37:I[473028,["/_next/static/chunks/3j31_2qapmh60.js?dpl=nogit-1792405568","/_next/static/chunks/313vt9_f08mnn.js?dpl=nogit-1792405568","/_next/static/chunks/2_6olli-sutu3.js?dpl=nogit-1792405568","/_next/static/chunks/09bcgz1lr6dab.js?dpl=nogit-1792405568","/_next/static/chunks/0tzbwbomzrnqw.js?dpl=nogit-1792405568","/_next/static/chunks/14trqrdc9kqx-.js?dpl=nogit-1792405568","/_next/static/chunks/2lsi6eli88uwt.js?dpl=nogit-1792405568","/_next/static/chunks/0zsno9tz6vkpw.js?dpl=nogit-1792405568","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1792405568","/_next/static/chunks/11md10s8bxc41.js?dpl=nogit-1792405568","/_next/static/chunks/0oqj6s0nlv2xz.js?dpl=nogit-1792405568","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1792405568","/_next/static/chunks/0myxz4gywm9of.js?dpl=nogit-1792405568","/_next/static/chunks/38w1x0vrld4-w.js?dpl=nogit-1792405568","/_next/static/chunks/3z1ylg82-_yrl.js?dpl=nogit-1792405568","/_next/static/chunks/230359bhbwn7h.js?dpl=nogit-1792405568","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1792405568","/_next/static/chunks/2_v9g5x0fx29m.js?dpl=nogit-1792405568","/_next/static/chunks/0r0qwy8stn_uo.js?dpl=nogit-1792405568","/_next/static/chunks/11kq2otno6-oj.js?dpl=nogit-1792405568","/_next/static/chunks/10j6l_dhgof6p.js?dpl=nogit-1792405568","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1792405568","/_next/static/chunks/3fr9hkx77wvja.js?dpl=nogit-1792405568","/_next/static/chunks/3adfywl6-8_k3.js?dpl=nogit-1792405568","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1792405568","/_next/static/chunks/1vqil3_m7bft1.js?dpl=nogit-1792405568","/_next/static/chunks/40cqw2xvsic28.js?dpl=nogit-1792405568","/_next/static/chunks/3j5g1ks7ljj92.js?dpl=nogit-1792405568","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1792405568","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1792405568","/_next/static/chunks/2p5xv3ji4tpih.js?dpl=nogit-1792405568","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1792405568","/_next/static/chunks/2a2ryz-j6u084.js?dpl=nogit-1792405568","/_next/static/chunks/2o9c7zxab747y.js?dpl=nogit-1792405568","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1792405568","/_next/static/chunks/2zjfedap7f8sc.js?dpl=nogit-1792405568","/_next/static/chunks/3it1o0ex-l5qz.js?dpl=nogit-1792405568","/_next/static/chunks/3nnmps7-hhzc_.js?dpl=nogit-1792405568","/_next/static/chunks/0wg6314tous77.js?dpl=nogit-1792405568","/_next/static/chunks/1u3eptdza7lch.js?dpl=nogit-1792405568","/_next/static/chunks/2mo1yi9s3sppb.js?dpl=nogit-1792405568","/_next/static/chunks/1w193fj-lcfgs.js?dpl=nogit-1792405568","/_next/static/chunks/0_95ok1we81_2.js?dpl=nogit-1792405568","/_next/static/chunks/1gz0d2bu8bcyn.js?dpl=nogit-1792405568","/_next/static/chunks/00k10pkv-tsak.js?dpl=nogit-1792405568","/_next/static/chunks/12rdo7yi_xy67.js?dpl=nogit-1792405568","/_next/static/chunks/29add9pj_xa2g.js?dpl=nogit-1792405568","/_next/static/chunks/2xx3y5ow--aem.js?dpl=nogit-1792405568","/_next/static/chunks/42ur87elx-dz3.js?dpl=nogit-1792405568","/_next/static/chunks/3ibs-m0_upaf_.js?dpl=nogit-1792405568","/_next/static/chunks/3nfomzjk3zoe-.js?dpl=nogit-1792405568","/_next/static/chunks/0horbp43y5c_k.js?dpl=nogit-1792405568","/_next/static/chunks/3ttet-2qytkke.js?dpl=nogit-1792405568","/_next/static/chunks/2-1ciy1x4js7n.js?dpl=nogit-1792405568","/_next/static/chunks/32s6q_rspd3hd.js?dpl=nogit-1792405568","/_next/static/chunks/0g1nv87sz_mxq.js?dpl=nogit-1792405568","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1792405568","/_next/static/chunks/1vjwc_dfj8v1b.js?dpl=nogit-1792405568","/_next/static/chunks/30u3fsn115_1j.js?dpl=nogit-1792405568","/_next/static/chunks/2wrktd_v4ahrw.js?dpl=nogit-1792405568","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1792405568"],"RecordTopicView"] 38:I[830476,["/_next/static/chunks/3j31_2qapmh60.js?dpl=nogit-1792405568","/_next/static/chunks/313vt9_f08mnn.js?dpl=nogit-1792405568","/_next/static/chunks/2_6olli-sutu3.js?dpl=nogit-1792405568","/_next/static/chunks/09bcgz1lr6dab.js?dpl=nogit-1792405568","/_next/static/chunks/0tzbwbomzrnqw.js?dpl=nogit-1792405568","/_next/static/chunks/14trqrdc9kqx-.js?dpl=nogit-1792405568","/_next/static/chunks/2lsi6eli88uwt.js?dpl=nogit-1792405568","/_next/static/chunks/0zsno9tz6vkpw.js?dpl=nogit-1792405568","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1792405568","/_next/static/chunks/11md10s8bxc41.js?dpl=nogit-1792405568","/_next/static/chunks/0oqj6s0nlv2xz.js?dpl=nogit-1792405568","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1792405568","/_next/static/chunks/0myxz4gywm9of.js?dpl=nogit-1792405568","/_next/static/chunks/38w1x0vrld4-w.js?dpl=nogit-1792405568","/_next/static/chunks/3z1ylg82-_yrl.js?dpl=nogit-1792405568","/_next/static/chunks/230359bhbwn7h.js?dpl=nogit-1792405568","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1792405568","/_next/static/chunks/2_v9g5x0fx29m.js?dpl=nogit-1792405568","/_next/static/chunks/0r0qwy8stn_uo.js?dpl=nogit-1792405568","/_next/static/chunks/11kq2otno6-oj.js?dpl=nogit-1792405568","/_next/static/chunks/10j6l_dhgof6p.js?dpl=nogit-1792405568","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1792405568","/_next/static/chunks/3fr9hkx77wvja.js?dpl=nogit-1792405568","/_next/static/chunks/3adfywl6-8_k3.js?dpl=nogit-1792405568","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1792405568","/_next/static/chunks/1vqil3_m7bft1.js?dpl=nogit-1792405568","/_next/static/chunks/40cqw2xvsic28.js?dpl=nogit-1792405568","/_next/static/chunks/3j5g1ks7ljj92.js?dpl=nogit-1792405568","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1792405568","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1792405568","/_next/static/chunks/2p5xv3ji4tpih.js?dpl=nogit-1792405568","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1792405568","/_next/static/chunks/2a2ryz-j6u084.js?dpl=nogit-1792405568","/_next/static/chunks/2o9c7zxab747y.js?dpl=nogit-1792405568","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1792405568","/_next/static/chunks/2zjfedap7f8sc.js?dpl=nogit-1792405568","/_next/static/chunks/3it1o0ex-l5qz.js?dpl=nogit-1792405568","/_next/static/chunks/3nnmps7-hhzc_.js?dpl=nogit-1792405568","/_next/static/chunks/0wg6314tous77.js?dpl=nogit-1792405568","/_next/static/chunks/1u3eptdza7lch.js?dpl=nogit-1792405568","/_next/static/chunks/2mo1yi9s3sppb.js?dpl=nogit-1792405568","/_next/static/chunks/1w193fj-lcfgs.js?dpl=nogit-1792405568","/_next/static/chunks/0_95ok1we81_2.js?dpl=nogit-1792405568","/_next/static/chunks/1gz0d2bu8bcyn.js?dpl=nogit-1792405568","/_next/static/chunks/00k10pkv-tsak.js?dpl=nogit-1792405568","/_next/static/chunks/12rdo7yi_xy67.js?dpl=nogit-1792405568","/_next/static/chunks/29add9pj_xa2g.js?dpl=nogit-1792405568","/_next/static/chunks/2xx3y5ow--aem.js?dpl=nogit-1792405568","/_next/static/chunks/42ur87elx-dz3.js?dpl=nogit-1792405568","/_next/static/chunks/3ibs-m0_upaf_.js?dpl=nogit-1792405568","/_next/static/chunks/3nfomzjk3zoe-.js?dpl=nogit-1792405568","/_next/static/chunks/0horbp43y5c_k.js?dpl=nogit-1792405568","/_next/static/chunks/3ttet-2qytkke.js?dpl=nogit-1792405568","/_next/static/chunks/2-1ciy1x4js7n.js?dpl=nogit-1792405568","/_next/static/chunks/32s6q_rspd3hd.js?dpl=nogit-1792405568","/_next/static/chunks/0g1nv87sz_mxq.js?dpl=nogit-1792405568","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1792405568","/_next/static/chunks/1vjwc_dfj8v1b.js?dpl=nogit-1792405568","/_next/static/chunks/30u3fsn115_1j.js?dpl=nogit-1792405568","/_next/static/chunks/2wrktd_v4ahrw.js?dpl=nogit-1792405568","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1792405568"],"FlashcardAccessBranch"] 39:I[315438,["/_next/static/chunks/3j31_2qapmh60.js?dpl=nogit-1792405568","/_next/static/chunks/313vt9_f08mnn.js?dpl=nogit-1792405568","/_next/static/chunks/2_6olli-sutu3.js?dpl=nogit-1792405568","/_next/static/chunks/09bcgz1lr6dab.js?dpl=nogit-1792405568","/_next/static/chunks/0tzbwbomzrnqw.js?dpl=nogit-1792405568","/_next/static/chunks/14trqrdc9kqx-.js?dpl=nogit-1792405568","/_next/static/chunks/2lsi6eli88uwt.js?dpl=nogit-1792405568","/_next/static/chunks/0zsno9tz6vkpw.js?dpl=nogit-1792405568","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1792405568","/_next/static/chunks/11md10s8bxc41.js?dpl=nogit-1792405568","/_next/static/chunks/0oqj6s0nlv2xz.js?dpl=nogit-1792405568","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1792405568","/_next/static/chunks/0myxz4gywm9of.js?dpl=nogit-1792405568","/_next/static/chunks/38w1x0vrld4-w.js?dpl=nogit-1792405568","/_next/static/chunks/3z1ylg82-_yrl.js?dpl=nogit-1792405568","/_next/static/chunks/230359bhbwn7h.js?dpl=nogit-1792405568","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1792405568","/_next/static/chunks/2_v9g5x0fx29m.js?dpl=nogit-1792405568","/_next/static/chunks/0r0qwy8stn_uo.js?dpl=nogit-1792405568","/_next/static/chunks/11kq2otno6-oj.js?dpl=nogit-1792405568","/_next/static/chunks/10j6l_dhgof6p.js?dpl=nogit-1792405568","/_next/static/chunks/0v4byuex1x38h.js?dpl=nogit-1792405568","/_next/static/chunks/3fr9hkx77wvja.js?dpl=nogit-1792405568","/_next/static/chunks/3adfywl6-8_k3.js?dpl=nogit-1792405568","/_next/static/chunks/2mv9l1xl_aa4j.js?dpl=nogit-1792405568","/_next/static/chunks/1vqil3_m7bft1.js?dpl=nogit-1792405568","/_next/static/chunks/40cqw2xvsic28.js?dpl=nogit-1792405568","/_next/static/chunks/3j5g1ks7ljj92.js?dpl=nogit-1792405568","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1792405568","/_next/static/chunks/1ku-vdy4ggo41.js?dpl=nogit-1792405568","/_next/static/chunks/2p5xv3ji4tpih.js?dpl=nogit-1792405568","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1792405568","/_next/static/chunks/2a2ryz-j6u084.js?dpl=nogit-1792405568","/_next/static/chunks/2o9c7zxab747y.js?dpl=nogit-1792405568","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1792405568","/_next/static/chunks/2zjfedap7f8sc.js?dpl=nogit-1792405568","/_next/static/chunks/3it1o0ex-l5qz.js?dpl=nogit-1792405568","/_next/static/chunks/3nnmps7-hhzc_.js?dpl=nogit-1792405568","/_next/static/chunks/0wg6314tous77.js?dpl=nogit-1792405568","/_next/static/chunks/1u3eptdza7lch.js?dpl=nogit-1792405568","/_next/static/chunks/2mo1yi9s3sppb.js?dpl=nogit-1792405568","/_next/static/chunks/1w193fj-lcfgs.js?dpl=nogit-1792405568","/_next/static/chunks/0_95ok1we81_2.js?dpl=nogit-1792405568","/_next/static/chunks/1gz0d2bu8bcyn.js?dpl=nogit-1792405568","/_next/static/chunks/00k10pkv-tsak.js?dpl=nogit-1792405568","/_next/static/chunks/12rdo7yi_xy67.js?dpl=nogit-1792405568","/_next/static/chunks/29add9pj_xa2g.js?dpl=nogit-1792405568","/_next/static/chunks/2xx3y5ow--aem.js?dpl=nogit-1792405568","/_next/static/chunks/42ur87elx-dz3.js?dpl=nogit-1792405568","/_next/static/chunks/3ibs-m0_upaf_.js?dpl=nogit-1792405568","/_next/static/chunks/3nfomzjk3zoe-.js?dpl=nogit-1792405568","/_next/static/chunks/0horbp43y5c_k.js?dpl=nogit-1792405568","/_next/static/chunks/3ttet-2qytkke.js?dpl=nogit-1792405568","/_next/static/chunks/2-1ciy1x4js7n.js?dpl=nogit-1792405568","/_next/static/chunks/32s6q_rspd3hd.js?dpl=nogit-1792405568","/_next/static/chunks/0g1nv87sz_mxq.js?dpl=nogit-1792405568","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1792405568","/_next/static/chunks/1vjwc_dfj8v1b.js?dpl=nogit-1792405568","/_next/static/chunks/30u3fsn115_1j.js?dpl=nogit-1792405568","/_next/static/chunks/2wrktd_v4ahrw.js?dpl=nogit-1792405568","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1792405568"],"TopicFlashcardRunner"] 25:[["$","$L34",null,{"feature":"flashcards"}],"$L35",["$","$L36",null,{"href":"/gcse/maths/wjec/grade-4-4-6-forming-and-solving-equations/flashcards","label":"Forming and Solving Equations","subjectCode":"gcse_maths__wjec","surface":"flashcards"}],["$","$L37",null,{"kind":"flashcards","topicId":"8065d57a-6367-62cd-7873-ae7fb009355f"}],["$","$L38",null,{"runner":["$","div",null,{"className":"min-h-0 flex-1 overflow-hidden bg-background","children":["$","$L39",null,{"decks":[{"id":"31f2a61e-a155-e449-8e9a-431feb3c69ca","title":"Forming and Solving Equations Flashcards","topicId":"8065d57a-6367-62cd-7873-ae7fb009355f","topicSlug":"grade-4-4-6-forming-and-solving-equations","cards":[{"id":"0c1f99fb-0363-70c6-a65b-d5f4faf121f7","cardType":"cloze","points":null,"front":"Like terms have the same [ ], such as $2x$ and $5x$.","back":"Like terms have the same variable part, such as $2x$ and $5x$.","mcqOptions":[{"text":"variable part","correct":true,"explanation":"Like terms have identical variables raised to identical powers, called the variable part. Their numerical coefficients may differ, as they do in $2x$ and $5x$."},{"text":"coefficient","correct":false,"explanation":"The coefficient is the numerical multiplier, which is $2$ in $2x$ and $5$ in $5x$. The shared feature that makes these like terms is their variable part."},{"text":"numerical part","correct":false,"explanation":"The numerical parts of $2x$ and $5x$ are different, so this cannot define like terms. Like terms instead have the same variable part."},{"text":"constant value","correct":false,"explanation":"Neither $2x$ nor $5x$ is a constant because each contains a variable. They are like terms because they share the same variable part, $x$."}]},{"id":"e7db519b-a072-4626-ad54-c0a123375915","cardType":"basic","points":2,"front":"Simplify $(4x-2)+(x+6)+(2x+1)$.","back":"$7x+5$","mcqOptions":[{"text":"$7x+5$","correct":true,"explanation":"Collecting the variable terms gives $4x+x+2x=7x$, while collecting the constants gives $-2+6+1=5$. Therefore the simplified expression is $7x+5$."},{"text":"$7x+9$","correct":false,"explanation":"The constant total becomes $9$ only if $-2$ is mistakenly treated as positive. Correctly calculating $-2+6+1=5$ gives the answer $7x+5$."},{"text":"$6x+5$","correct":false,"explanation":"This misses one of the seven lots of $x$, usually by failing to include the standalone $x$. The variable terms total $7x$, giving $7x+5$."},{"text":"$7x-5$","correct":false,"explanation":"The constants have been given the wrong overall sign. Since $-2+6+1=5$, and the variable terms total $7x$, the correct result is $7x+5$."}]},{"id":"3592efaf-76b8-9a67-5d8c-752fc75d645e","cardType":"basic","points":1,"front":"In $3x-5$, what number term must be collected?","back":"$-5$","mcqOptions":[{"text":"$-5$","correct":true,"explanation":"The number term includes the sign immediately before it. In $3x-5$, the constant term is therefore negative five, written as $-5$."},{"text":"$5$","correct":false,"explanation":"Ignoring the subtraction sign changes the value of the constant. The sign belongs to the number term, so the term that must be collected is $-5$."},{"text":"$3$","correct":false,"explanation":"The $3$ is a coefficient because it multiplies $x$, rather than being a separate number term. The constant number term in the expression is $-5$."},{"text":"$-3$","correct":false,"explanation":"This incorrectly transfers the negative sign from the constant to the coefficient. The variable term is $3x$, while the number term that must be collected is $-5$."}]},{"id":"f79ca412-0a6c-415e-1bc3-5c92821cea47","cardType":"cloze","points":null,"front":"To form an equation from a known total, write an expression and set it [ ] to the given value.","back":"To form an equation from a known total, write an expression and set it equal to the given value.","mcqOptions":[{"text":"equal","correct":true,"explanation":"An equation states that two quantities have the same value. Therefore, an expression representing the unknown total must be set equal to the given total."},{"text":"greater than","correct":false,"explanation":"Using an inequality would state that the expression exceeds the known total rather than matches it. To form the required equation, set the expression equal to the given value."},{"text":"less than","correct":false,"explanation":"A less-than relationship forms an inequality and does not represent an exact known total. The expression must be set equal to the given value to form an equation."},{"text":"not equal","correct":false,"explanation":"A not-equal sign explicitly says the expression and known total differ, so it cannot model the stated total. The expression should instead be set equal to the value."}]},{"id":"5cb91e3f-956a-c030-a629-e252899ff213","cardType":"cloze","points":null,"front":"Adding and [ ] are inverse operations; multiplying and [ ] are inverse operations.","back":"Adding and subtracting are inverse operations; multiplying and dividing are inverse operations.","mcqOptions":[{"text":"Adding and subtracting are inverse operations; multiplying and dividing are inverse operations.","correct":true,"explanation":"Subtracting reverses the effect of adding, while dividing reverses the effect of multiplying. Each pair can therefore be used to undo the other operation when solving equations."},{"text":"Adding and dividing are inverse operations; multiplying and subtracting are inverse operations.","correct":false,"explanation":"Dividing does not undo adding, and subtracting does not undo multiplying. The inverse of adding is subtracting, while the inverse of multiplying is dividing."},{"text":"Adding and multiplying are inverse operations; multiplying and dividing are inverse operations.","correct":false,"explanation":"Multiplication is repeated addition in some contexts, but it does not reverse addition. Subtracting is the inverse of adding, while dividing is the inverse of multiplying."},{"text":"Adding and subtracting are inverse operations; multiplying and adding are inverse operations.","correct":false,"explanation":"Adding cannot reverse multiplication because it changes a value by a fixed amount rather than a factor. Multiplication is undone by dividing, while adding is undone by subtracting."}]},{"id":"e5416a35-1b5c-fd5e-8aba-b818da38bfeb","cardType":"basic","points":2,"front":"Rectangle length $3x+2$, width $x+4$: write the perimeter expression.","back":"$2(3x+2)+2(x+4)$","mcqOptions":[{"text":"$2(3x+2)+2(x+4)$","correct":true,"explanation":"A rectangle has two lengths and two widths. Doubling $3x+2$ and doubling $x+4$, then adding them, gives the perimeter expression $2(3x+2)+2(x+4)$."},{"text":"$(3x+2)(x+4)$","correct":false,"explanation":"Multiplying length by width calculates the rectangle’s area, not its perimeter. Perimeter requires two lengths and two widths, giving $2(3x+2)+2(x+4)$."},{"text":"$2(3x+2)+(x+4)$","correct":false,"explanation":"This includes two lengths but only one width, so one side is missing. A rectangle has two of each side, giving $2(3x+2)+2(x+4)$."},{"text":"$(3x+2)+2(x+4)$","correct":false,"explanation":"This includes two widths but only one length, so it does not cover all four sides. The complete perimeter is $2(3x+2)+2(x+4)$."}]},{"id":"7abc5d45-914e-06b4-dc35-eecefd3a7e2c","cardType":"basic","points":2,"front":"Solve $8x+12=44$.","back":"$x=4$","mcqOptions":[{"text":"$x=4$","correct":true,"explanation":"Subtracting $12$ from both sides gives $8x=32$. Dividing both sides by $8$ then gives $x=4$, which satisfies the original equation."},{"text":"$x=7$","correct":false,"explanation":"This comes from adding $12$ to $44$ before dividing, rather than using the inverse operation. Subtracting $12$ gives $32$, so $x=4$."},{"text":"$x=5.5$","correct":false,"explanation":"Dividing $44$ by $8$ ignores the additional $12$ on the left-hand side. Subtract $12$ first, then divide $32$ by $8$ to obtain $x=4$."},{"text":"$x=32$","correct":false,"explanation":"Subtracting $12$ correctly produces $32$, but this stops before undoing the multiplication by $8$. Dividing $32$ by $8$ gives the solution $x=4$."}]},{"id":"394e1beb-75de-084d-c8ef-cc4d90fef744","cardType":"cloze","points":null,"front":"Angles on a straight line add to [ ]; angles around a point add to [ ].","back":"Angles on a straight line add to 180°; angles around a point add to 360°.","mcqOptions":[{"text":"Angles on a straight line add to 180°; angles around a point add to 360°.","correct":true,"explanation":"A straight line is a half-turn, so its angles total $180°$. A full turn around a single point is twice as large, so those angles total $360°$."},{"text":"Angles on a straight line add to 90°; angles around a point add to 360°.","correct":false,"explanation":"A total of $90°$ describes a right angle, not a straight line. Angles on a straight line total $180°$, while angles around a point total $360°$."},{"text":"Angles on a straight line add to 180°; angles around a point add to 180°.","correct":false,"explanation":"A total of $180°$ represents only a half-turn, so it is insufficient around a point. The correct totals are $180°$ on a straight line and $360°$ around a point."},{"text":"Angles on a straight line add to 360°; angles around a point add to 180°.","correct":false,"explanation":"These totals reverse a full turn and a half-turn. A straight line is a $180°$ half-turn, whereas angles around a point make a $360°$ full turn."}]},{"id":"e6afbc60-29ae-baa4-3637-dc56e97deb4d","cardType":"cloze","points":null,"front":"A right angle is [ ]; angles in a triangle add to [ ].","back":"A right angle is 90°; angles in a triangle add to 180°.","mcqOptions":[{"text":"A right angle is 90°; angles in a triangle add to 180°.","correct":true,"explanation":"A quarter turn measures 90°, while the interior angles of every triangle have a total of 180°. These facts can be used to form equations involving unknown angles."},{"text":"A right angle is 180°; angles in a triangle add to 360°.","correct":false,"explanation":"This confuses a right angle with a straight angle and a triangle with a full turn. A right angle is 90°, and angles in a triangle total 180°."},{"text":"A right angle is 90°; angles in a triangle add to 360°.","correct":false,"explanation":"Although a right angle is correctly identified as 90°, 360° is the angle around a point. The interior angles of a triangle add to 180°."},{"text":"A right angle is 45°; angles in a triangle add to 180°.","correct":false,"explanation":"The triangle angle total is correctly given as 180°, but 45° is half a right angle. A right angle measures 90°."}]},{"id":"d34c7da0-8b5b-a2c4-2e3f-e0990c7cccbb","cardType":"basic","points":2,"front":"Solve $4x+(2x+6)=90$.","back":"$x=14$","mcqOptions":[{"text":"$x=14$","correct":true,"explanation":"Expanding and collecting terms gives $6x+6=90$. Subtracting 6 gives $6x=84$, and dividing both sides by 6 gives $x=14$."},{"text":"$x=16$","correct":false,"explanation":"This can result from adding 6 instead of subtracting it. The equation simplifies to $6x+6=90$, so $6x=84$ and $x=14$."},{"text":"$x=21$","correct":false,"explanation":"This comes from overlooking the additional $2x$ and dividing 84 by 4. Collecting both variable terms gives $6x=84$, so $x=14$."},{"text":"$x=15$","correct":false,"explanation":"This results from dividing 90 by 6 before removing the constant 6. First obtain $6x=84$, then divide by 6 to get $x=14$."}]},{"id":"c895146e-9636-ec6e-d011-a5bd0860bb66","cardType":"basic","points":2,"front":"Solve $(2x+5)+(x+20)+(x-1)=180$.","back":"$x=39$","mcqOptions":[{"text":"$x=39$","correct":true,"explanation":"Collecting like terms gives $4x+24=180$. Subtracting 24 produces $4x=156$, and dividing by 4 gives $x=39$."},{"text":"$x=51$","correct":false,"explanation":"This comes from adding the constant total of 24 to 180 instead of subtracting it. The correct rearrangement is $4x=156$, giving $x=39$."},{"text":"$x=45$","correct":false,"explanation":"This comes from dividing 180 by 4 while ignoring the constant terms. The constants total 24, so $4x=156$ and therefore $x=39$."},{"text":"$x=41$","correct":false,"explanation":"This can result from combining $5+20-1$ incorrectly as 16. The constants actually total 24, giving $4x+24=180$ and hence $x=39$."}]},{"id":"5edf1628-0c7e-a539-a6a2-09c64d5fa00a","cardType":"cloze","points":null,"front":"In a right-angled triangle, the two other angles add to [ ], not 180° by themselves.","back":"In a right-angled triangle, the two other angles add to 90°, not 180° by themselves.","mcqOptions":[{"text":"90°","correct":true,"explanation":"All three angles in a triangle total 180°. Since the right angle already accounts for 90°, the two remaining angles must together account for the other 90°."},{"text":"180°","correct":false,"explanation":"This is the total for all three angles, including the right angle. Subtracting the 90° right angle from 180° leaves 90° for the other two angles."},{"text":"360°","correct":false,"explanation":"This confuses the angle total of a triangle with the angle around a point. A triangle totals 180°, leaving 90° after its right angle is removed."},{"text":"45°","correct":false,"explanation":"Each remaining angle would be 45° only in an isosceles right-angled triangle. In every right-angled triangle, the two remaining angles together add to 90°."}]},{"id":"197f84b7-73fa-55ba-7dbf-1bb428760f5a","cardType":"basic","points":1,"front":"What expression gives the area of a triangle?","back":"1/2 × base × height","mcqOptions":[{"text":"1/2 × base × height","correct":true,"explanation":"A triangle with a given base and perpendicular height has half the area of the corresponding rectangle or parallelogram, so its area is 1/2 × base × height."},{"text":"base × height","correct":false,"explanation":"This calculates the area of a rectangle or parallelogram rather than a triangle. A triangle occupies half that area, so the correct expression is 1/2 × base × height."},{"text":"2 × base × height","correct":false,"explanation":"This doubles the corresponding rectangle’s area instead of halving it. A triangle’s area is found using 1/2 × base × height."},{"text":"1/2 × base + height","correct":false,"explanation":"This incorrectly adds the height rather than multiplying all three factors. The area of a triangle is calculated using 1/2 × base × height."}]},{"id":"09f986da-15c3-ef82-c2a4-cd678a472939","cardType":"basic","points":1,"front":"How is perpendicular height measured relative to the base?","back":"At 90° to the base.","mcqOptions":[{"text":"At 90° to the base.","correct":true,"explanation":"Perpendicular lines meet at a right angle, so the perpendicular height must be measured at 90° to the chosen base, using the shortest distance from the opposite vertex."},{"text":"At 45° to the base.","correct":false,"explanation":"A 45° line is diagonal rather than perpendicular. The height used in the triangle area formula must meet the base at 90°."},{"text":"At 180° to the base.","correct":false,"explanation":"An angle of 180° forms a straight line along the base rather than a height. Perpendicular height is measured at 90° to the base."},{"text":"At 60° to the base.","correct":false,"explanation":"A 60° line may be a sloping side, but it is not perpendicular to the base. The required height must meet the base at 90°."}]},{"id":"4954a6e8-2c60-c2cb-f751-9e97fb4b2453","cardType":"basic","points":2,"front":"Right-angled triangle sides $5x$ and $4x$, area 360: what equation is formed?","back":"$1/2\\times 5x\\times 4x=360$","mcqOptions":[{"text":"$1/2\\times 5x\\times 4x=360$","correct":true,"explanation":"The two perpendicular sides act as the base and height. Substituting $5x$ and $4x$ into the triangle area formula gives $1/2\\times 5x\\times 4x=360$."},{"text":"$5x\\times 4x=360$","correct":false,"explanation":"This uses the rectangle area formula and omits the factor of one-half. For a triangle, the equation must be $1/2\\times 5x\\times 4x=360$."},{"text":"$1/2\\times (5x+4x)=360$","correct":false,"explanation":"This adds the two side lengths instead of multiplying the base and perpendicular height. The triangle area equation is $1/2\\times 5x\\times 4x=360$."},{"text":"$2\\times 5x\\times 4x=360$","correct":false,"explanation":"This doubles the base-height product rather than halving it. Since a triangle is half the corresponding rectangle, the required factor is $1/2$."}]},{"id":"67d03b08-a3f3-7b3d-16d8-fc8eb28deef8","cardType":"basic","points":2,"front":"Why use $x=6$, not $x=-6$, when $x^2=36$ and $x$ is a length?","back":"A length cannot be negative.","mcqOptions":[{"text":"A length cannot be negative.","correct":true,"explanation":"Solving $x^2=36$ algebraically gives $x=6$ or $x=-6$, but a geometric length must be non-negative, so only $x=6$ is valid."},{"text":"A length must be an even number.","correct":false,"explanation":"Lengths do not have to be even; they can be odd, fractional or irrational. The negative solution is rejected because a length cannot be negative."},{"text":"A square root is always positive.","correct":false,"explanation":"The equation $x^2=36$ has two algebraic solutions, $6$ and $-6$, because both square to 36. Only $6$ is used because a length cannot be negative."},{"text":"A negative number cannot be squared.","correct":false,"explanation":"Negative numbers can be squared, and $(-6)^2=36$. The value $-6$ is excluded only because $x$ represents a length, which cannot be negative."}]},{"id":"086e8aeb-8c68-4efe-7387-d6faf2bbfa2d","cardType":"basic","points":1,"front":"Parallelogram opposite sides $4x+1$ and $2x+13$: what equation is formed?","back":"$4x+1=2x+13$","mcqOptions":[{"text":"$4x+1=2x+13$","correct":true,"explanation":"Opposite sides of a parallelogram are equal in length, so the expressions representing those sides must be set equal: $4x+1=2x+13$."},{"text":"$4x+1+2x+13=0$","correct":false,"explanation":"Adding both side expressions and equating the result to zero does not represent equal opposite sides. The required equation is $4x+1=2x+13$."},{"text":"$4x+1=2(x+13)$","correct":false,"explanation":"The second side is already represented by $2x+13$; the 13 is not multiplied by 2. Equal opposite sides give $4x+1=2x+13$."},{"text":"$4x+2=2x+13$","correct":false,"explanation":"This changes the constant in the first given expression from 1 to 2. The expressions must be copied accurately, giving $4x+1=2x+13$."}]},{"id":"b23cc552-e659-0d5c-570b-866f35e5451c","cardType":"basic","points":1,"front":"What expression gives the area of a parallelogram?","back":"base × perpendicular height","mcqOptions":[{"text":"base × perpendicular height","correct":true,"explanation":"A parallelogram can be rearranged into a rectangle with the same base and perpendicular height, so its area is base × perpendicular height."},{"text":"base × sloping side length","correct":false,"explanation":"The sloping side is not generally perpendicular to the base, so using it gives the wrong area. The correct expression is base × perpendicular height."},{"text":"base + perpendicular height","correct":false,"explanation":"Adding lengths does not calculate area and produces a quantity measured in length units. The area of a parallelogram is base × perpendicular height."},{"text":"base × perpendicular height ÷ 2","correct":false,"explanation":"Dividing by 2 confuses a parallelogram with a triangle. A parallelogram occupies twice the area of the corresponding triangle, so use base × perpendicular height."}]},{"id":"eb31fe85-60bd-6d51-26c0-f779f1ecd835","cardType":"basic","points":1,"front":"Sam has $x$ counters, Tia has twice as many, Ravi has 4 more than Tia. What is Ravi’s expression?","back":"$2x+4$","mcqOptions":[{"text":"$2x+4$","correct":true,"explanation":"Tia has twice Sam’s $x$ counters, giving $2x$. Ravi has 4 more than Tia, so his total is represented by $2x+4$."},{"text":"$2(x+4)$","correct":false,"explanation":"This doubles both Sam’s counters and the extra 4, incorrectly giving Ravi 8 additional counters. Only Tia’s amount is doubled, so Ravi has $2x+4$."},{"text":"$x+6$","correct":false,"explanation":"Twice as many counters means multiplying $x$ by 2, not adding 2. Adding Ravi’s extra 4 then gives the correct expression $2x+4$."},{"text":"$2x-4$","correct":false,"explanation":"Subtracting 4 would mean Ravi has 4 fewer counters than Tia. Ravi has 4 more, so the correct expression is $2x+4$."}]},{"id":"829a231c-54e4-5954-b879-07baa42593dd","cardType":"basic","points":1,"front":"In the counters problem, $x=9$ is Sam’s counters. How many counters does Ravi have?","back":"22","mcqOptions":[{"text":"22","correct":true,"explanation":"Ravi’s number of counters is $2x+4$. Substituting $x=9$ gives $2(9)+4=18+4=22$ counters."},{"text":"26","correct":false,"explanation":"This results from incorrectly doubling the extra 4 as well as Sam’s 9 counters. Ravi has $2(9)+4=22$ counters."},{"text":"14","correct":false,"explanation":"This comes from adding only 5 to Sam’s amount and ignores that Tia has twice as many. Ravi has $2(9)+4=22$ counters."},{"text":"18","correct":false,"explanation":"This calculates Tia’s number by doubling Sam’s 9 counters but forgets Ravi’s additional 4. Ravi therefore has $18+4=22$ counters."}]},{"id":"bdbf7393-6c31-2ef4-c748-2fa897a3e535","cardType":"basic","points":1,"front":"Alex is $x$, Ben is $3x$, Cara is 5 younger than Ben. What is Cara’s expression?","back":"$3x-5$","mcqOptions":[{"text":"$3x-5$","correct":true,"explanation":"Ben’s age is three times Alex’s, so it is $3x$. Cara is 5 years younger than Ben, giving the expression $3x-5$."},{"text":"$3(x-5)$","correct":false,"explanation":"This subtracts 5 from Alex’s age before tripling, making Cara 15 years younger than Ben. Subtract 5 from Ben’s age instead, giving $3x-5$."},{"text":"$3x+5$","correct":false,"explanation":"Adding 5 would make Cara 5 years older than Ben. Since she is 5 younger, her age is represented by $3x-5$."},{"text":"$x-5$","correct":false,"explanation":"This subtracts 5 from Alex’s age rather than Ben’s. Ben is $3x$, so Cara’s age is 5 less than this: $3x-5$."}]},{"id":"05b7e025-122f-93dd-e6be-a1f27cd5851d","cardType":"basic","points":2,"front":"Simplify the ratio $15:45:40$.","back":"$3:9:8$","mcqOptions":[{"text":"$3:9:8$","correct":true,"explanation":"The greatest common factor of 15, 45 and 40 is 5. Dividing every part by 5 gives the simplified ratio $3:9:8$."},{"text":"$1:3:8$","correct":false,"explanation":"This divides 15 and 45 by 15 but divides 40 by 5, changing the ratio. Every part must be divided by 5, giving $3:9:8$."},{"text":"$3:9:40$","correct":false,"explanation":"This divides the first two parts by 5 but leaves the final part unchanged. All three parts must be divided equally, producing $3:9:8$."},{"text":"$5:15:8$","correct":false,"explanation":"This divides the first two parts by 3 but the final part by 5, so the proportions change. Dividing every part by 5 gives $3:9:8$."}]}]}],"examCountdown":{"examDate":"2027-05-14","paperLabel":"Unit 1"},"heading":"Forming and Solving Equations","title":"Forming and Solving Equations Flashcards","topbar":{"backHref":"/gcse/maths/wjec/flashcards"},"topicSidebar":"$L3a"}]}],"topicId":"8065d57a-6367-62cd-7873-ae7fb009355f","walled":"$L3b"}],"$L3c","$L3d"]