AQA GCSE MATHEMATICS Higher
Tier Paper 3 Calculator 2021 QP
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
GCSE
MATHEMATICS
Higher Tier Paper 3 Calculator
H
Time allowed: 1 hour 30 minutes
Materials
For this paper you must have: For Examiner’s Use
• a calculator Pages Mark
• mathematical instruments.
2–3
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.
10–11
• Answer all questions.
• 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
16–17
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 18–19
be marked. 20–21
22–23
Information
24–25
• The marks for questions are shown in brackets.
• The maximum mark for this paper is 80. 26
• You may ask for more answer paper, graph paper and tracing paper. TOTAL
These must be tagged securely to this answer book.
Advice
In all calculations, show clearly how you work out your answer.
*Jun2183003H01*
IB/M/Jun21/E8 8300/3H
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 b is 3 more than the square root of a.
Circle the correct equation.
[1 mark]
b= a+3 b= a –3 b= a+3 b= a−3
2 Circle the largest number.
[1 mark]
• • •
0. 5 0.55 0.545 0.5 45
3 A line has equation 3y = 3x – 2
Circle the coordinates of the intercept of the line with the y-axis.
[1 mark]
2 2
(0, 1) (0, –1) 0, 0, –
3 3
*02*
IB/M/Jun21/8300/3H
, 3
Do not write
outside the
box
4 Factorise x2 – 64
Circle your answer.
[1 mark]
(x + 8)2 (x – 8)2 (x + 8)(x – 8) x(x – 64)
5 Six positive numbers have
a mean of 10
a range of 19
Four of the numbers are 12 7 15 3
Work out the other two numbers.
[3 marks]
Answer and
7
Turn over ►
*03*
IB/M/Jun21/8300/3H
, 4
Do not write
outside the
box
6 At a country park there is a house, a museum and a garden.
The table shows the prices per person to visit the park.
Price per person
Garden only Free
House and museum £12.50
House only £8
Museum only £7
One day, 480 people visit the park.
67 visit the garden only.
40% visit the house and the museum.
3
visit the house only.
8
The rest visit the museum only.
In total, how much do the 480 people pay to visit the park?
You may use the Venn diagram to help you.
[5 marks]
*04*
IB/M/Jun21/8300/3H
Tier Paper 3 Calculator 2021 QP
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
GCSE
MATHEMATICS
Higher Tier Paper 3 Calculator
H
Time allowed: 1 hour 30 minutes
Materials
For this paper you must have: For Examiner’s Use
• a calculator Pages Mark
• mathematical instruments.
2–3
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.
10–11
• Answer all questions.
• 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
16–17
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 18–19
be marked. 20–21
22–23
Information
24–25
• The marks for questions are shown in brackets.
• The maximum mark for this paper is 80. 26
• You may ask for more answer paper, graph paper and tracing paper. TOTAL
These must be tagged securely to this answer book.
Advice
In all calculations, show clearly how you work out your answer.
*Jun2183003H01*
IB/M/Jun21/E8 8300/3H
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 b is 3 more than the square root of a.
Circle the correct equation.
[1 mark]
b= a+3 b= a –3 b= a+3 b= a−3
2 Circle the largest number.
[1 mark]
• • •
0. 5 0.55 0.545 0.5 45
3 A line has equation 3y = 3x – 2
Circle the coordinates of the intercept of the line with the y-axis.
[1 mark]
2 2
(0, 1) (0, –1) 0, 0, –
3 3
*02*
IB/M/Jun21/8300/3H
, 3
Do not write
outside the
box
4 Factorise x2 – 64
Circle your answer.
[1 mark]
(x + 8)2 (x – 8)2 (x + 8)(x – 8) x(x – 64)
5 Six positive numbers have
a mean of 10
a range of 19
Four of the numbers are 12 7 15 3
Work out the other two numbers.
[3 marks]
Answer and
7
Turn over ►
*03*
IB/M/Jun21/8300/3H
, 4
Do not write
outside the
box
6 At a country park there is a house, a museum and a garden.
The table shows the prices per person to visit the park.
Price per person
Garden only Free
House and museum £12.50
House only £8
Museum only £7
One day, 480 people visit the park.
67 visit the garden only.
40% visit the house and the museum.
3
visit the house only.
8
The rest visit the museum only.
In total, how much do the 480 people pay to visit the park?
You may use the Venn diagram to help you.
[5 marks]
*04*
IB/M/Jun21/8300/3H
