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GCSE MATHEMATICS Higher Tier Paper 3 Calculator

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1 What does A U B represent in P(A U B) ? Circle your answer. [1 mark] A or B or both A but not B not A and not B A and B 2 Circle the equation of the line that is parallel to y = 2 1 x + 3 [1 mark] y = –2x y = 2x y = 2 1 x y = – 2 1 x 3 Work out 320 as a percentage of 80 Circle your answer. [1 mark] 25% 75% 300% 400% 3 *03* Turn over ► IB/M/Jun20/8300/3H Do not write outside the box 4 A fair coin is spun four times. Circle the probability of getting four Heads. [1 mark] 2 1 2 8 1 16 1 5 To the nearest 1000, there are 18 000 people at a festival. 5 (a) Write down the minimum possible number of people at the festival. [1 mark] Answer 5 (b) Write down the maximum possible number of people at the festival. [1 mark] Answer Turn over for the next question 6 4 *04* IB/M/Jun20/8300/3H Do not write outside the box 6 ABCD represents the plan of a field. There is a path across the field that starts at B is the same distance from BA and BC. Using ruler and compasses, show the position of the path. [2 marks] 5 *05* Turn over ► IB/M/Jun20/8300/3H Do not write outside the box 7 Use Pythagoras’ theorem to work out the value of x. [3 marks] Answer cm Turn over for the next question 5 Not drawn accurately 6 *06* IB/M/Jun20/8300/3H Do not write outside the box 8 Chris visits a library. He cycles to the library in half an hour at a speed of 12 miles per hour. He stays at the library for one hour. He then cycles home. The sketch graph represents his visit. Work out the speed, in miles per hour, at which Chris cycles home. [3 marks] Answer mph

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GCSE
MATHEMATICS
Higher Tier Paper 3 Calculator
H
Monday 8 June 2020 Morning Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
For this paper you must have:
Pages Mark
• a calculator
• 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.
• 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
16–17
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.
26–27
• The maximum mark for this paper is 80.
• 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.




*Jun2083003H01*
IB/M/Jun20/E7 8300/3H

, 2
Do not write
outside the
Answer all questions in the spaces provided. box




1 What does AUB represent in P(A U B) ?
Circle your answer.
[1 mark]

A or B or both A but not B




not A and not B A and B




1
2 Circle the equation of the line that is parallel to y= x+3
2
[1 mark]

1 1
y = –2x y = 2x y= x y=– x
2 2




3 Work out 320 as a percentage of 80
Circle your answer.
[1 mark]

25% 75% 300% 400%




*02*
IB/M/Jun20/8300/3H

, 3
Do not write
outside the
box
4 A fair coin is spun four times.

Circle the probability of getting four Heads.
[1 mark]


1 1 1
2
2 8 16




5 To the nearest 1000, there are 18 000 people at a festival.


5 (a) Write down the minimum possible number of people at the festival.
[1 mark]


Answer




5 (b) Write down the maximum possible number of people at the festival.
[1 mark]


Answer




Turn over for the next question


6

Turn over ►


*03*
IB/M/Jun20/8300/3H

, 4
Do not write
outside the
box
6 ABCD represents the plan of a field.




There is a path across the field that
starts at B
is the same distance from BA and BC.

Using ruler and compasses, show the position of the path.
[2 marks]




*04*
IB/M/Jun20/8300/3H

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