2023 AQA GCSE MATHEMATICS 8300/3H Higher Tier Paper 3 Calculator Question
Paper & Mark scheme (Merged) June 2023 [VERIFIED]
GCSE
MATHEMATICS H
Higher
... [Show More] TierPaper 3 Calculator
Wednesday 14 June 2023Morning Time allowed: 1 hour 30 minutes
Materials
For this paper you must have:
• a calculator
• mathematical instruments
• the Formulae Sheet (enclosed).
Instructions
• Use black ink or black ball-point pen. Draw diagrams in pencil.
• Fill in the boxes at the top of this page.
• Answer all questions.
• You must answer the questions in the spaces provided. Do not
write 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 this book. Write the question number against your answer(s).
• Do all rough work in this book. Cross through any work you do not want to
be marked.
Information
• The marks for questions are shown in brackets.
• The maximum mark for this paper is 80.
• You may ask for more answer paper, graph paper and tracing
paper. These must be tagged securely to this answer book.
Advice
In all calculations, show clearly how you work out your answer.
For Examiner’s Use
Pages Mark
2–3
4–5
6–7
8–9
10–11
12–13
14–15
16–17
18–19
20–21
22–23
24–25
TOTAL
*JUN2383003H01*
IB/M/Jun23/E8 8300/3H
2
Answer all questions in the spaces provided.
1 The line with equation y = 2x + 7 intersects the y-axis at A.
Complete the coordinates of A.
[1 mark]
Answer ( 0 , )
Do not write
outside the
box
2 Write down a fraction equivalent to 1.875
[1 mark]
Answer
3 Solve 5x + 11 = 3x + 19
[2 marks]
x =
*02*
IB/M/Jun23/8300/3H
3
4 A map has a scale of 1 : 5000
How many metres are represented by a length of 4.5 cm on the map?
[2 marks]
Answer m
5 The number of hedgehogs in England is expected to reduce by 4% each
year. Assume there are now 1 000 000 hedgehogs in England.
Work out the expected number of hedgehogs in England after five
years. You must show your working.
[3 marks]
Answer
Do not write
outside the
box
9
Turn over ►
*03*
IB/M/Jun23/8300/3H
4
6 Here is cuboid A.
Cuboid B is made from two of cuboid A.
volume of A : volume of B = 1 : 2
Matthew says,
“surface area of A : surface area of B must be 1 : 2 because B is made of 2 of A.”
Is Matthew correct?
Tick one box.
Yes No Cannot tell
Give a reason for your answer.
[2 marks]
Do not write
outside the
box
*04*
IB/M/Jun23/8300/3H
5
7 (a) Complete the table of values for y = x
2
+ 2x
[2 marks]
x –3 –2 –1 0 1
y 3 –1 0
7 (b) Draw the graph of y = x
2
+ 2x for values of x from –3 to 1 [Show Less]