Level 1/Level 2 GCSE (9 - 1) Mathematics - JustMaths

Write your name here

Surname

Other names

Pearson Edexcel

Level 1/Level 2 GCSE (9 - 1)

Centre Number

Candidate Number

Mathematics

Paper 3 (Calculator)

Higher Tier

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Time: 1 hour 30 minutes

Paper Reference

1MA1/3H

You must have: Ruler graduated in centimetres and millimetres,

protractor, pair of compasses, pen, HB pencil, eraser, calculator.

Total Marks

Instructions

Use black ink or ball-point pen.

? Fill

boxes at the top of this page with your name,

? centrein the

number and candidate number.

all questions.

? Answer

Answer

the questions in the spaces provided

? ¨C there may

be more space than you need.

Calculators

may be used.

? If your calculator

not have a button, take the value of to be 3.142

? unless the questiondoesinstructs

otherwise.

are NOT accurately drawn, unless otherwise indicated.

? Diagrams

You

must

show

all your working out.

?

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

Try

to

every question.

? Checkanswer

? your answers if you have time at the end.

Turn over

S48576A

?2015 Pearson Education Ltd.

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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics - Sample Assessment Materials (SAMs) - Issue 2 - June 2015

? Pearson Education Limited 2015

145

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

The diagram shows a trapezium ABCD and two identical semicircles.

A

B

28 cm

14 cm

D

14 cm

12 cm

C

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The centre of each semicircle is on DC.

Work out the area of the shaded region.

Give your answer correct to 3 significant figures.

cm2

(Total for Question 1 is 4 marks)

2

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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics - Sample Assessment Materials (SAMs) - Issue 2 - June 2015

? Pearson Education Limited 2015

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2

Asif is going on holiday to Turkey.

The exchange rate is ?1 = 3.5601 lira.

Asif changes ?550 to lira.

(a) Work out how many lira he should get.

Give your answer to the nearest lira.

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

lira

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(2)

Asif sees a pair of shoes in Turkey.

The shoes cost 210 lira.

Asif does not have a calculator.

He uses ?2 = 7 lira to work out the approximate cost of the shoes in pounds.

(b) Use ?2 = 7 lira to show that the approximate cost of the shoes is ?60

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(2)

(c) Is using ?2 = 7 lira instead of using ?1 = 3.5601 lira a sensible start to Asif¡¯s method

to work out the cost of the shoes in pounds?

You must give a reason for your answer.

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

(1)

(Total for Question 2 is 5 marks)

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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics - Sample Assessment Materials (SAMs) - Issue 2 - June 2015 147

? Pearson Education Limited 2015

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3

Here are the first six terms of a Fibonacci sequence.

1

2

3

5

8

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1

The rule to continue a Fibonacci sequence is,

the next term in the sequence is the sum of the two previous terms.

(a) Find the 9th term of this sequence.

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

(1)

The first three terms of a different Fibonacci sequence are

a

b

a+b

(2)

Given that the 3rd term is 7 and the 6th term is 29,

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(b) Show that the 6th term of this sequence is 3a + 5b

(c) find the value of a and the value of b.

(3)

(Total for Question 3 is 6 marks)

4

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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics - Sample Assessment Materials (SAMs) - Issue 2 - June 2015

? Pearson Education Limited 2015

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4

In a survey, the outside temperature and the number of units of electricity used for

heating were recorded for ten homes.

The scatter diagram shows this information.

100

90

80

70

60

Number of units used

50

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40

30

20

10

¨C5

0

0

5

10

15

20

25

30

Outside temperature ¡ãC

Molly says,

¡°On average the number of units of electricity used for heating decreases by 4 units

for each ¡ãC increase in outside temperature.¡±

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(a) Is Molly right?

Show how you get your answer.

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(3)

(b) You should not use a line of best fit to predict the number of units of electricity used

for heating when the outside temperature is 30 ¡ãC.

Give one reason why.

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(1)

(Total for Question 4 is 4 marks)

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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics - Sample Assessment Materials (SAMs) - Issue 2 - June 2015 149

? Pearson Education Limited 2015

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