2025 AQA Level 2 Certificate FURTHER MATHEMATICS Paper 1 Non-Calculator Combined Question Paper with Final Marking Scheme
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
Level 2 Certificate
FURTHER MATHEMATICS
Paper 1 Non-Calculator
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
outside the box around each page or on blank pages. 14–15
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
, 4
Do not write
outside the
box
3 A linear sequence starts 2 5 8 11
Work out the position of the term that is the first to have a value greater than 500
[3 marks]
Answer
4 AC is a straight line.
A is the point (–3, 2)
B is the midpoint of the line AC.
B is the point (12, 10)
4 (a) Work out the coordinates of C.
[2 marks]
Answer ( , )
IB/G/Jun25/8365/1
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
Level 2 Certificate
FURTHER MATHEMATICS
Paper 1 Non-Calculator
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
outside the box around each page or on blank pages. 14–15
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
, 4
Do not write
outside the
box
3 A linear sequence starts 2 5 8 11
Work out the position of the term that is the first to have a value greater than 500
[3 marks]
Answer
4 AC is a straight line.
A is the point (–3, 2)
B is the midpoint of the line AC.
B is the point (12, 10)
4 (a) Work out the coordinates of C.
[2 marks]
Answer ( , )
IB/G/Jun25/8365/1
