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
Monday 10 June 2024 Morning 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
• the Formulae Sheet (enclosed).
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).
18–19
• Do all rough work in this book. Cross through any work you do not want to
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.
*jun24 3003
Dl0
oad1
ed b*
8300/3H
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 Here are the first three Patterns in a sequence made up of small squares.
1 (a) On the grid, draw Pattern 4
[1 mark]
*02*
,,iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
3
Do not write
outside the
1 (b) The expression for the number of small squares in Pattern n is n2 +4 box
Work out the least value of n for which the number of small squares is greater than 500
[1 mark]
n=
2
Not drawn
accurately
Use Pythagoras’ theorem to work out the value of x.
Give your answer as a decimal.
[3 marks]
Answer cm
5
Turn over ►
*03*
, 4
Do not write
outside the
3 Rick claims most of the flats in his 8-floor building are energy efficient. box
He samples 45 flats from floors 1 to 5
Give a reason why this sample may not be useful in testing Rick’s claim.
[1 mark]
4 3(x – 1) 3x – 3 is an identity.
Tick one box.
[1 mark]
It is true for all values of x
It is true for some values of x
It is true for no values of x
*04*
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
GCSE
MATHEMATICS
Higher Tier Paper 3 Calculator
H
Monday 10 June 2024 Morning 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
• the Formulae Sheet (enclosed).
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).
18–19
• Do all rough work in this book. Cross through any work you do not want to
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.
*jun24 3003
Dl0
oad1
ed b*
8300/3H
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 Here are the first three Patterns in a sequence made up of small squares.
1 (a) On the grid, draw Pattern 4
[1 mark]
*02*
,,iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
3
Do not write
outside the
1 (b) The expression for the number of small squares in Pattern n is n2 +4 box
Work out the least value of n for which the number of small squares is greater than 500
[1 mark]
n=
2
Not drawn
accurately
Use Pythagoras’ theorem to work out the value of x.
Give your answer as a decimal.
[3 marks]
Answer cm
5
Turn over ►
*03*
, 4
Do not write
outside the
3 Rick claims most of the flats in his 8-floor building are energy efficient. box
He samples 45 flats from floors 1 to 5
Give a reason why this sample may not be useful in testing Rick’s claim.
[1 mark]
4 3(x – 1) 3x – 3 is an identity.
Tick one box.
[1 mark]
It is true for all values of x
It is true for some values of x
It is true for no values of x
*04*
