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Aqa Lever 2 Certificate Mathematics Paper 1 Questions June 2025

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1 (a) The function f is given by f(x) = 5x + 3 The range is f(x) 23 Work out the domain of the function, giving your answer as an inequality. [1 mark] Answer 1 (b) The function g is given by g(x) = x3 – 4 The domain is –3 x 2 Work out the range of the function, giving your answer as an inequality. [2 marks] Answer

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Level 2 Certificate
FURTHER MATHEMATICS
Paper 1 Non-Calculator
AQA LEVER 2 CERTIFICATE MATHEMATICS PAPER 1 QUESTIONS JUNE 2025

Thursday 12 June 2025 Afternoon Time allowed: 1 hour 45 minutes
Materials For Examiner’s Use
For this paper you must have:
Pages Mark
 mathematical instruments
 the Formulae Sheet (enclosed). 2–3
You must not use a calculator. 4–5
6–7
Instructions
 Use black ink or black ball-point pen. Draw diagrams in pencil. 8–9
 Fill in the boxes at the top of this page. 10–11
 Answer all questions. 12–13
 You must answer the questions in the spaces provided. Do not write
14–15
outside the box around each page or on blank pages.
 If you need extra space for your answer(s), use the lined pages at the end of 16–17
this book. Write the question number against your answer(s). 18–19
 Do all rough work in this book. Cross through any work you do not want
20–21
to be marked.
 In all calculations, show clearly how you work out your answer. 22

TOTAL
Information
 The marks for questions are shown in brackets.
 The maximum mark for this paper is 80.
 You may ask for more graph paper and tracing paper.
These must be tagged securely to this answer book.




IB/G/Jun25/G4002/E8 8365/1

, 2
Do not write
outside the
Answer all questions in the spaces provided. box




1 (a) The function f is given by f(x) = 5x + 3
The range is f(x) < 23

Work out the domain of the function, giving your answer as an inequality.
[1 mark]




Answer




1 (b) The function g is given by g(x) = x3 – 4
The domain is –3 < x < 2

Work out the range of the function, giving your answer as an inequality.
[2 marks]




Answer




IB/G/Jun25/8365/1

, 3
Do not write
outside the
box
1 (c) The function h is given by h(x) = 2x  1

Work out h–1(x)
[2 marks]




h–1(x) =




 a 
2  5 0  12  = 15
 1 6   7   b 
    

Work out the values of a and b.
[2 marks]




a= b=
7

Turn over ►


IB/G/Jun25/8365/1

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