Mathematics Paper 2 (Calculator) Solutions Higher Tier

[Pages:24]Write your name here

Surname

Other names

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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5 (a) Complete the table of values for y = x2 ? x ? 6

x ?3 ?2 ?1 0

y

6O

4 ?6

123

G 4O

il6 6

I Z6 4

5 36 0

C 25 C z 6 C 15 C i 6

41 2 6

0

I ti 6

4

(2)

(b) On the grid, draw the graph of y = x2 ? x ? 6 for values of x from ?3 to 3 (2)

y 7

6

5

4

3

2

1

?3

?2

?1

O

?1

1

2

3x

?2

?3

?4

?5

?6 I

t

?7

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6

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(c) Use your graph to find estimates of the solutions to the equation x2 ? x ? 6 = ?2

x

1.55 sci 2.55 .................................................................................

(2)

(Total for Question 5 is 6 marks)

6 A force of 70 newtons acts on an area of 20 cm2

The force is increased by 10 newtons. The area is increased by 10 cm2

Helen says, "The pressure decreases by less than 20%"

Is Helen correct? You must show how you get your answer.

Original Pressure 7020

force pressure =

area

3.5 Ncm 2

New Pressure

80

To

2.67 Nem 2

2 67 x too

35

76.3

So Helen is wrong the decrease

is by 100 76 3

23.7

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(Total for Question 6 is 3 marks)

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7

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7 y 11 10 9 A 8 7 6 5 4 3 2 1

O 1 2 3 4 5 6 7 8x

1 Enlarge shape A by scale factor centre (0, 1)

3

(Total for Question 7 is 2 marks)

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8

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