AQA GCSE FURTHER MATHEMATICS 8365/1
Paper 1 Non-Calculator
Complete Question paper with Marking Scheme Attached
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
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
, 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
Paper 1 Non-Calculator
Complete Question paper with Marking Scheme Attached
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
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
, 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
