Level 2 Certificate FURTHER MATHEMATICS
8365/1 ACTUAL 2025 PAPER WITH MARK
SCHEME
, 1
Do not
write
outside the
box
Level 2 Certificate
FURTHER MATHEMATICS 8365/1
ACTUAL 2025 PAPER WITH MARK
SCHEME
Paper 1 Non-Calculator
Please write clearly in block capitals.
Candidate number
Centre 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 this paper you must have:
• mathematical instruments • the Formulae
Sheet (enclosed).
You must not use a calculator.
IB/G/Jun25/8365/1
, For Examiner’s Use
2
Pages Mark
Do not
2–3 write
outside the
4–5 box
Instructions
6–7
• Use black ink or black ball-point pen. Draw diagrams in pencil.
• Fill in the boxes at the top of this page. 8–9
• Answer all questions. 10–11
• You must answer the questions in the spaces provided. Do not write outside
12–13
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 14–15
this book. Write the question number against your answer(s).
16–17
• Do all rough work in this book. Cross through any work you do not want to be
marked. 18–19
• In all calculations, show clearly how you work out your answer. 20–21
22
Information
TOTAL
• 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.
*jun258365101* 8365/1
IB/G/Jun25/G4002/E8
Answer all questions in the spaces provided.
Turn over ►
IB/G/Jun25/8365/1
, 3
Do not
write
outside the
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]
IB/G/Jun25/8365/1
8365/1 ACTUAL 2025 PAPER WITH MARK
SCHEME
, 1
Do not
write
outside the
box
Level 2 Certificate
FURTHER MATHEMATICS 8365/1
ACTUAL 2025 PAPER WITH MARK
SCHEME
Paper 1 Non-Calculator
Please write clearly in block capitals.
Candidate number
Centre 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 this paper you must have:
• mathematical instruments • the Formulae
Sheet (enclosed).
You must not use a calculator.
IB/G/Jun25/8365/1
, For Examiner’s Use
2
Pages Mark
Do not
2–3 write
outside the
4–5 box
Instructions
6–7
• Use black ink or black ball-point pen. Draw diagrams in pencil.
• Fill in the boxes at the top of this page. 8–9
• Answer all questions. 10–11
• You must answer the questions in the spaces provided. Do not write outside
12–13
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 14–15
this book. Write the question number against your answer(s).
16–17
• Do all rough work in this book. Cross through any work you do not want to be
marked. 18–19
• In all calculations, show clearly how you work out your answer. 20–21
22
Information
TOTAL
• 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.
*jun258365101* 8365/1
IB/G/Jun25/G4002/E8
Answer all questions in the spaces provided.
Turn over ►
IB/G/Jun25/8365/1
, 3
Do not
write
outside the
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]
IB/G/Jun25/8365/1
