Level 1/Level 2 GCSE (9–1) Tuesday 19 May 2020 - Maths Genie
[Pages:20]Please check the examination details below before entering your candidate information
Candidate surname
Other names
Centre Number
Pearson Edexcel Level 1/Level 2 GCSE (9?1)
Tuesday 19 May 2020
Candidate Number
Morning (Time: 1 hour 30 minutes)
Mathematics
Paper 1 (Non-Calculator) Higher Tier
Paper Reference 1MA1/1H
You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used.
??Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name,
?? centre number and candidate number. Answer all questions. Answer the questions in the spaces provided
??? ? there may be more space than you need. You must show all your working. Diagrams are NOT accurately drawn, unless otherwise indicated. Calculators may not be used.
??Information The total mark for this paper is 80 The marks for each question are shown in brackets ? use this as a guide as to how much time to spend on each question.
????Advice Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.
Total Marks
P62277RA
?2020 Pearson Education Ltd.
1/1/1/1/1/
*P62277RA0120*
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Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 The first five terms of an arithmetic sequence are
1 4 7 10 13 Write down an expression, in terms of n, for the nth term of this sequence.
2 Show that
.......................................................
(Total for Question 1 is 2 marks)
13 3 2 ?3 = 8
34 4
(Total for Question 2 is 3 marks)
2
*P62277RA0220*
3 The diagram shows four graphs.
y
y
O
x
Graph A y
O
x
Graph B y
O
x
O
x
Graph C
Graph D
Each of the equations in the table is the equation of one of the graphs. Complete the table.
Equation
Letter of graph
y = ?x3
y = x3
y = x2
y =
1 x
(Total for Question 3 is 2 marks)
*P62277RA0320*
3
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4 The diagram shows four triangles.
55?
45?
10 cm
Triangle A
45? 8 cm
Triangle B
10 cm
55? 8 cm
10 cm Triangle C Two of these triangles are congruent. Write down the letters of these two triangles.
45? 10 cm
80?
Triangle D
and . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
.......................................................
(Total for Question 4 is 1 mark)
5 Sean pays ?10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each. Work out Sean's percentage profit.
% . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (Total for Question 5 is 3 marks)
4
*P62277RA0420*
6 ADC is a triangle. A
E
B
148?
63?
D
C
AED and ABC are straight lines. EB is parallel to DC.
Angle EBC = 148? Angle ADC = 63?
Work out the size of angle EAB. You must give a reason for each stage of your working.
(Total for Question 6 is 5 marks)
*P62277RA0520*
5
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7 The table shows information about the heights, in cm, of a group of Year 9 girls.
least height median greatest height
150 cm 165 cm 170 cm
This stem and leaf diagram shows information about the heights, in cm, of a group of 15 Year 9 boys.
15 8 9 9 16 4 5 7 7 8 17 0 3 4 4 7 18 0 2
Key: 15 8 represents 158 cm
Compare the distribution of the heights of the girls with the distribution of the heights of the boys.
.................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. ..................................................................................................................................................................................................................................................
(Total for Question 7 is 3 marks)
6
*P62277RA0620*
8 The diagram shows a prism placed on a horizontal floor.
3 m
The prism has height 3 m The volume of the prism is 18 m3 The pressure on the floor due to the prism is 75 newtons/m2 Work out the force exerted by the prism on the floor.
pressure = force area
9 Write these numbers in order of size. Start with the smallest number.
6.72 ? 105
67.2 ? 10?4
newtons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (Total for Question 8 is 3 marks)
672 ? 104
0.000 672
....................................................... ....................................................... ....................................................... .......................................................
(Total for Question 9 is 2 marks)
*P62277RA0720*
7
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10 Given that a = 2 and b = 3 b5 c4
find a : b : c
........................................................................................
(Total for Question 10 is 3 marks)
8
*P62277RA0820*
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