Mathematics Paper 2 (Calculator) Solutions Higher Tier
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Pearson Edexcel Centre Number
Level 1/Level 2 GCSE (9-1)
Candidate Number
Mathematics
Paper 2 (Calculator)
Solutions
Thursday 7 June 2018 ? Morning Time: 1 hour 30 minutes
Higher Tier
Paper Reference
1MA1/2H
You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Total Marks
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 be used. If your calculator does not have a button, take the value of to be 3.142 unless the question instructs otherwise.
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.
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P48528A
?2018 Pearson Education Ltd.
6/7/7/7/8/7/
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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 (a) Simplify m3 ? m4
3 m
4
(b) Simplify (5np3)3
7 m . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
32q9r 4 (c) Simplify 4q3r
125ns p9 ......................................................
(2)
8q6r3
......................................................
(2) (Total for Question 1 is 5 marks)
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2
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2 (a) Find the lowest common multiple (LCM) of 40 and 56
2 40
z 120 211 0 55L
I
2151 228L
2 14
77L 1
40 2 2 2 5
56 2 2 2 7
LCM
2 2 2 547
280
280 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
A = 23 ? 3 ? 5
B = 22 ? 3 ? 52
(b) Write down the highest common factor (HCF) of A and B.
HCF
22 3 5
60
6 0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 2 is 3 marks)
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3
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3 The line L is shown on the grid.
y 2 1
?1 O ?1
L
2,0
1 2 3 4 5x
?2
?3 ?4
?5
?6X o 6
?7
Find an equation for L.
Gradient
0z
Ez 3
y intercept
6
L
y 3x 6
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y 3x 6 ......................................................
(Total for Question 3 is 3 marks)
4
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4 Raya buys a van for ?8500 plus VAT at 20%
Raya pays a deposit for the van. She then pays the rest of the cost in 12 equal payments of ?531.25 each month.
Find the ratio of the deposit Raya pays to the total of the 12 equal payments. Give your answer in its simplest form.
8500 X l Z
10200
Total monthly payments
531.25 X 12
6375
Deposit
10200
6375
3825
Deposit
3825
3
Total MonthlyPayments
I 6375
5
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3 5 ......................................................
(Total for Question 4 is 5 marks)
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5
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