plumiSurds: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 2.2 Surds, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 7 questions on Surds, as a list
- Summer 2025, AS Unit 1, Q3 (6 marks): 3. Showing all your working, simplify the following expressions. 8 4 2 a a 3 (a) [3] 1 a 3
- Summer 2024, AS Unit 1, Q6 (7 marks): 6. (a) Find the exact value of x that satisfies the equation 5 7 x 4 147 . [4] 1 x 2 Show that (8 x 18) 9 x , may be written as 2(2 x 3) (b) , where . [
- Summer 2023, AS Unit 1, Q6 (7 marks): 6 The diagram below shows a triangle ABC. B A C $ 3, 2 5, 4 3 Given that , find the value of cosABC. Show all your AB BC AC working and give your answer
- Summer 2022, Unit 3, Q8 (8 marks): − x 0 8 Find the first three terms in the binomial expansion of in ascending powers 1+ 3x of x. State the range of values of x for which the expansion is valid.
- Summer 2022, AS Unit 1, Q2 (6 marks): Showing all your working, simplify the following expression. [6] 0 2 5 48 + 2 + 5 3 ( ) 3 5 + 3 3 − 2 3
- Summer 2019, AS Unit 1, Q7 (6 marks): 7 Given that a, b are integers, simplify the following. Show all your working. 2 3 + a a) [3] 3 −1 2 6b2 b) [3] − 27 + 192 2
- Summer 2018, AS Unit 1, Q1 (7 marks): 1 Showing all your working, simplify 24 a , a) [3] ( ) ( ) 2 2 a + 3 a − 3 − 3 7 + 5 3 . b) [4] 7 + 3
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