09d5d-b206-4c2e-a28d-ac519b34eac4","label":"c","content":"Simplify $\\frac{2y + 6y}{2}$","markscheme":"- Simplifies numerator to $8y$ M1\n- Final answer $4y$ A1","marks":2,"order":2,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Final answer $4y$.","code":"B"}],"finalAnswers":["4y"],"generatedAt":"2026-05-06T15:39:12.821Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"combine_then_divide","label":"Combine then divide","steps":[{"type":"text","order":0,"title":"Combine like terms","content":"The numerator has like terms: both terms contain $y$. Add their coefficients, leaving the $y$ unchanged.","highlights":[{"text":"Simplify $\\frac{2y + 6y}{2}$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\frac{\\htmlData{anchor=original}{\\color{@sky}{2y+6y}}}{2}"},{"latex":"\\frac{\\htmlData{anchor=numerator}{\\color{@orange}{8y}}}{2}"},{"latex":"\\htmlData{anchor=answer}{\\color{@green}{4y}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"original"},{"color":"orange","style":"text-color-with-background","anchor":"numerator"},{"color":"green","style":"text-color-with-background","anchor":"answer"}],"connections":[{"to":"numerator","from":"original","color":"sky","label":"add coefficients","style":"solid"},{"to":"answer","from":"numerator","color":"orange","label":"divide by 2","style":"solid"}]},"order":1,"title":"Simplify the fraction","description":"First add the terms in the numerator, then divide the coefficient by the denominator. M1: simplify the numerator to 8y. A1: divide by 2 to obtain 4y."}]}],"generatedAt":"2026-07-21T03:58:57.036Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":77,"sampleSize":22}},{"id":"e6ec3e84-ec6c-4269-9ac3-a47550adf840","revisionId":"63737373-fa82-415f-8735-3676570c9a95","questionNumber":"16","questionType":"LA","specification":"","difficulty":1,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Simplifying Algebra","calculatorUse":null,"parts":[{"id":"ac7fbb25-26a0-4f85-bf94-cc18da447f11","label":"a","content":"Simplify $2t \\times 7s$","markscheme":"- Final answer $14st$ B1","marks":1,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Final answer $14st$ (or $14ts$).","code":"B"}],"finalAnswers":["14st"],"generatedAt":"2026-05-06T15:39:12.821Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"simplify_product","label":"Multiply the terms","steps":[{"type":"text","order":0,"title":"Multiply the numbers","content":"Multiply the numerical coefficients: $2\\times 7=14$. Keep the letters for the next step."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$2t\\times 7s=14\\htmlData{anchor=letters}{ts}$"},{"latex":"$$14\\htmlData{anchor=reorderedLetters}{st}$"}],"connections":[{"to":"reorderedLetters","from":"letters","color":"orange","label":"reorder letters"}]},"order":1,"title":"Join the letters","description":"Letters multiplied together can be written next to each other, and their order does not change the product. Therefore, write $ts$ as $st$. Writing the simplified product as $14st$ earns the B1 mark."}]}],"generatedAt":"2026-07-20T16:57:19.371Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]},{"id":"8e2d733f-05db-456e-979f-3b75989ce816","label":"b","content":"Simplify $7a + 4b - 3a - 5b$","markscheme":"- Simplifies $a$ terms to $4a$ or $b$ terms to $-b$ M1\n- Final answer $4a - b$ A1","marks":2,"order":1,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Simplifies one set of terms correctly (either $4a$ or $-b$).","code":"M"},{"id":"p2","marks":1,"description":"Final answer $4a - b$.","code":"A"}],"finalAnswers":["4a - b"],"generatedAt":"2026-05-06T15:39:12.821Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"collect_like_terms","label":"Collect like terms","steps"

Simplifying Algebra Questions

Simplifying Algebra Questions

Simplifying Algebra Questions

Simplifying Algebra Questions