plumiAlgebraic fractions: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.9 Algebraic fractions, 2021–2025, with its mark scheme and examiner’s report.
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All 12 questions on Algebraic fractions, 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 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 2024, Paper 1, Q17 (3 marks): Show that – – – – x x x x 2 21 7 3 2 8 2 simplifies to – – k x x 2 3 2 8 where k is an integer.
- 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, Q13 (3 marks): Write – 2 3 x x – 1 3x + 1 as a single fraction. Give your answer in its simplest form. 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, Q15 (5 marks): Simplify fully + 5 3 2 x x ÷ 4 6 x 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
- November 2021, Paper 2, Q20 (4 marks): Show that + 2sin cos tan x x x – 1 sin x can be written in the form acos x + bsin x where a and b are integers.
- Specimen, Paper 1, Q6 (3 marks): Simplify fully y x xy y x 4 12 5 15 2 2 − − Answer
- Specimen, Paper 2, Q8 (4 marks): (a) Work out cd ab ÷ ad bc Give your answer as a single fraction in its simplest form. Answer 8 (b) Work out 2 7 2x + 4 3x Give your answer as a single fraction
- 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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