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 8 June 2023 Morning Time allowed: 1 hour 45 minutes
Materials
For Examiner’s Use
For this paper you must have:
• mathematical instruments Pages Mark
• the Formulae Sheet (enclosed).
2–3
You must not use a calculator.
4–5
Instructions 6–7
• Use black ink or black ball-point pen. Draw diagrams in pencil.
8–9
• Fill in the boxes at the top of this page.
• Answer all questions. 10–11
• You must answer the questions in the spaces provided. Do not write 12–13
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
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 18–19
to be marked.
• In all calculations, show clearly how you work out your answer. 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.
*JUN238365101*
IB/G/Jun23/E11 8365/1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 The function f is given by f(x) = 2x + 1
1 (a) Work out x when f(x) = –5
[2 marks]
x=
1 (b) The function g is given by g(x) = x2
Work out fg(3)
[2 marks]
Answer
*02*
IB/G/Jun23/8365/1
, 3
Do not write
outside the
box
2 Factorise fully 6x2y + 21xy
[2 marks]
Answer
3 (a) Circle the transformation matrix that represents a reflection in the line y = –x
[1 mark]
0 −1 0 1 0 1 0 −1
−1 0 1 0 −1 0 1 0
3 (b) Show that
2 4 −3 −4
=kI where k is an integer.
−1 −3 1 2
[2 marks]
9
Turn over ►
*03*
IB/G/Jun23/8365/1
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 8 June 2023 Morning Time allowed: 1 hour 45 minutes
Materials
For Examiner’s Use
For this paper you must have:
• mathematical instruments Pages Mark
• the Formulae Sheet (enclosed).
2–3
You must not use a calculator.
4–5
Instructions 6–7
• Use black ink or black ball-point pen. Draw diagrams in pencil.
8–9
• Fill in the boxes at the top of this page.
• Answer all questions. 10–11
• You must answer the questions in the spaces provided. Do not write 12–13
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
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 18–19
to be marked.
• In all calculations, show clearly how you work out your answer. 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.
*JUN238365101*
IB/G/Jun23/E11 8365/1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 The function f is given by f(x) = 2x + 1
1 (a) Work out x when f(x) = –5
[2 marks]
x=
1 (b) The function g is given by g(x) = x2
Work out fg(3)
[2 marks]
Answer
*02*
IB/G/Jun23/8365/1
, 3
Do not write
outside the
box
2 Factorise fully 6x2y + 21xy
[2 marks]
Answer
3 (a) Circle the transformation matrix that represents a reflection in the line y = –x
[1 mark]
0 −1 0 1 0 1 0 −1
−1 0 1 0 −1 0 1 0
3 (b) Show that
2 4 −3 −4
=kI where k is an integer.
−1 −3 1 2
[2 marks]
9
Turn over ►
*03*
IB/G/Jun23/8365/1
