Mathematics Paper 2 (Calculator) Higher Tier Solutions

Please check the examination details below before entering your candidate information

Candidate surname

Other names

Centre Number

Candidate Number

Pearson Edexcel

Level 1/Level 2 GCSE (9¨C1)

Thursday 8 November 2018

Morning (Time: 1 hour 30 minutes)

Paper Reference 1MA1/2H

Mathematics

Paper 2 (Calculator)

Higher Tier

Solutions

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

black ink or ball-point pen.

? Use

Fill in the boxes at the top of this page with your name,

? centre

number and candidate number.

all questions.

? Answer

Answer

the questions in the spaces provided

? ¨C there may

be more space than you need.

must show all your working.

? You

are NOT accurately drawn, unless otherwise indicated.

? Diagrams

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

total mark for this paper is 80

? The

marks for each question are shown in brackets

? The

¨C use this as a guide as to how much time to spend on each question.

Advice

each question carefully before you start to answer it.

? Read

an eye on the time.

? Keep

to answer every question.

? Try

? Check your answers if you have time at the end.

P55588A

?2018 Pearson Education Ltd.

6/7/7/7/7/1/

*P55588A0120*

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Answer ALL questions.

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Write your answers in the spaces provided.

You must write down all the stages in your working.

1

E = {even numbers between 1 and 25}

A = {2, 8, 10, 14}

B = {6, 8, 20}

C = {8, 18, 20, 22}

(a) Complete the Venn diagram for this information.

E

2

A

10

B

6

14

16

8

C

22

18

4

12

24

(4)

A number is chosen at random from E.

(b) Find the probability that the number is a member of A

B.

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20

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(2)

(Total for Question 1 is 6 marks)

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2

*P55588A0220*

2

Sean has information about the height, in cm, and the weight, in kg, of each of ten rugby players.

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He is asked to draw a scatter graph and a line of best fit for this information.

Here is his answer.

105

100

Weight (kg)

95

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90

85

140

160

170

180

Height (cm)

190

200

Sean has plotted the points accurately.

Write down two things that are wrong with his answer.

1

Horizontal scale not

linear

150

missing

. . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. .. .......................... ................................. .. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . .. ..................................................... .................................... .. .. . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

2

Line of best fit unsuitable Should be in

similar to blue line drawn

a

position

. . .. .. . . . . . . . . . . . . . . . . . . . . . . . . . . .. .. .......................... ................................ .. .. . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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. . . . . . . .. .. .............................. ...................... ..................................... .. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(Total for Question 2 is 2 marks)

*P55588A0320*

3

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3

BEG is a triangle.

C

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B

35¡ã

A

x

110¡ã

D

as

G

F

25¡ã

E

ABC and DEF are parallel lines.

BEG

450

a BE

750

180

x

K

x

I

180

Goo

s

on

str line

alternate

s

add

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Work out the size of angle x.

Give a reason for each stage of your working.

to 1800

equal

751 45

120

C

L

sum

of

o

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(Total for Question 3 is 4 marks)

4

*P55588A0420*

¡ã

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4

Northern Bank has two types of account.

Both accounts pay compound interest.

Ali invests ?2000 in the cash savings account.

Ben invests ?1600 in the shares account.

(a) Work out who will get the most interest by the end of 3 years.

You must show all your working.

Ben

Ali

1600 1.0353

2000 X 1.025

1773.94

2153.78

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Shares account

Interest

3.5% per annum

Cash savings account

Interest

2.5% per annum

1 173.94

1 153.78

interest

interest

SoBengetsmost interest

(4)

In the 3rd year the rate of interest for the shares account is changed to 4% per annum.

(b) Does this affect who will get the most interest by the end of 3 years?

Give a reason for your answer.

Ben already receives

to 4

interest from 3.5

No

the most Raising his

will give him even

. . . . . . . .. .. .................................................... ..................................... .. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . .. .. .................................................... ..................................... .. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

more

interest

. . . . . . . .. .. .................................................... ..................................... .. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(1)

(Total for Question 4 is 5 marks)

*P55588A0520*

5

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