plumiFactorising: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.8 Factorising, 2021–2025, with its mark scheme and examiner’s report.
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All 13 questions on Factorising, as a list
- June 2025, Paper 1, Q14 (4 marks): Simplify fully 2 2 2 4 6 3 x x x x − − − ÷ x x + 2 4 4 7 Answer
- June 2025, Paper 1, Q19 (5 marks): (a) (x – 1) is a factor of 3x3 + 2x2 – 3x – 2 Factorise fully 3x3 + 2x2 – 3x – 2 Answer 19 (b) f(x) = (x – 2)(5x + 4)(3x + 2) c is a positive integer. The value
- June 2025, Paper 2, Q11 (6 marks): (a) Simplify fully w 4 3 + w 6 1 Answer 11 (b) Factorise fully (x – 1)9 + (x – 1)8(x + 4) Answer 11 (c) Factorise fully 8y2 – 50 Answer
- June 2025, Paper 2, Q21 (5 marks): (a) θ is an angle between 270° and 360° cos θ = k 5 1 and tan θ = –3k where k is a positive constant. Work out the value of θ. Answer ° 21 (b) Work out the valu
- June 2024, Paper 1, Q2 (1 mark): Factorise x2 – y2 Answer
- June 2024, Paper 1, Q8 (3 marks): Solve by factorising 2x3 – 9x2 – 5x = 0 Answer
- June 2024, Paper 2, Q15 (3 marks): Simplify fully – – – + x x x x 2 2 2 9 18 12 8 15 Answer
- June 2023, Paper 1, Q2 (2 marks): Factorise fully 6x2y + 21xy Answer
- June 2023, Paper 2, Q14 (4 marks): Simplify fully 2 2 15 6 16 a a a + − × 8 4 3 a a − Answer
- June 2022, Paper 2, Q1 (2 marks): Factorise fully 12w + 18w 2 Answer
- November 2021, Paper 2, Q1 (3 marks): Expand and simplify 5(2x – 1) + 4(11 – x) Give your answer in the form a(bx + c) where a, b and c are integers greater than 1 Answer
- November 2021, Paper 2, Q9 (4 marks): (a) Circle the expression that is equivalent to + a b 1 1 + a b 2 + ab b a ab 2 + b a ab 9 (b) Simplify fully – – c c c 4 3 2 6 36 1 Answer
- Specimen, Paper 2, Q16 (5 marks): Simplify 35) (6 2 50 8 2 3 − − − x x x x x Give your answer in the form d cx b ax + + where a, b, c and d are integers. Answer
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