Write your name here

Surname Other names

Pearson Edexcel Centre Number Candidate Number

International Lower
Secondary Curriculum

Mathematics
Year 9
Achievement Test

Thursday 1 June 2017 – Afternoon Paper Reference

Time 1 hour 20 minutes LMA01/01

You must have: Total Marks
Ruler graduated in centimetres and millimetres, protractor, compasses,
pen, HB pencil, eraser, calculator. Tracing paper may be used.

Instructions
• Use black ink or ball-point pen.
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
• Calculators are allowed.
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.
• Try to answer every question.
• Check your answers if you have time at the end.

Turn over

P48438A
©2017 Pearson Education Ltd.

2/1/3/1/1/
*P48438A0120*
 SECTION A

Answer ALL questions.

DO NOT WRITE IN THIS AREA

In Section A put a cross in one box to indicate your answer. If you change your mind,
put a line through the box and then put a cross in another box .
Each question in Section A is worth one mark.

1 Find the median of 37, 53, 41, 48, 37, 59, 26

37 41 43 48

4
2 Which decimal is equivalent to ?
5
0.45 0.8 1.25 4.5

DO NOT WRITE IN THIS AREA

3 This shape is made from a square and a rectangle.

7 cm

2 cm Diagram NOT
accurately drawn

3 cm

3 cm

What is the perimeter of this shape? DO NOT WRITE IN THIS AREA

15 cm 23 cm 24 cm 30 cm

4 Find the value of 3a + 4b when a = 7 and b = 5

19 41 43 82

2
*P48438A0220*
 5 What is the volume of a cube with edge 4 cm?
DO NOT WRITE IN THIS AREA

16 cm3 48 cm3 64 cm3 96 cm3

6 The area of a shape is 240 cm2.

What is this in mm2?

2.4 mm2 24 mm2 2400 mm2 24 000 mm2

7 A group of men and women took a test.

DO NOT WRITE IN THIS AREA

This two-way table shows some information about the test.

Passed Failed TOTAL

Men 43 56

Women

TOTAL 75 100

How many women failed the test?

12 13 25 32
DO NOT WRITE IN THIS AREA

8 A pie chart is drawn to show the hair colour of 200 pupils in a school.
40 pupils have brown hair.
What angle will the sector for brown hair be on the pie chart?

20° 36° 40° 72°

3
*P48438A0320* Turn over
9 What is 280 as a product of its prime factors?

DO NOT WRITE IN THIS AREA

1×2×2×2×5×7 2×2×2×5×7 2×4×5×7 2×2×3×5×7

10 :KDWLVWKHPLGSRLQWRIíDQGí"

    

11 What name is given to a straight line that goes from the centre to the circumference of a circle?

Radius Tangent Diameter Chord

DO NOT WRITE IN THIS AREA

12 Expand and simplify
ímíím

 ímí ímí ím ím + 14

13 Round 0.025 701 009 to 2 decimal places. DO NOT WRITE IN THIS AREA

0.02 0.03 0.025 0.026

14 Find the value of (4h2 when h = 2

22 90 121 2025

4
*P48438A0420*
 15 Find the value of
33íî
DO NOT WRITE IN THIS AREA

29 47 56 128

16 The frequency table below shows the number of marks scored on a test.

Number of marks Frequency

0 – 19 31

20 – 39 14

40 – 59 28
DO NOT WRITE IN THIS AREA

60 – 79 27

What is the modal class of the number of marks?

0 – 19 20 – 39 40 – 59 60 – 79

17 What is 1 357 000 000 in standard form?

1.357 × 10–9 1.357 × 10–6 1.357 × 106 1.357 × 109

DO NOT WRITE IN THIS AREA

18 The price of a games console has been reduced by 20% in a sale.

The sale price is $360
How much did the games console cost before it was reduced in the sale?

$288 $300 $432 $450

5
*P48438A0520* Turn over
19 What is the nth term of this sequence?
4, 16, 36, 64, 100, …

DO NOT WRITE IN THIS AREA

(4n2 n2 + 4 4n2 12n – 8

20 Factorise fully
28x2 + 16xy + 8x

x (28x + 16y x (14x + 8y x (7x + 4y x (4x + 2y

DO NOT WRITE IN THIS AREA

21 A book is 25 cm long to the nearest centimetre.
What is the minimum possible length of the book?

24 cm 24.5 cm 24.95 cm 25 cm

22 Simplify
f8×f4

f2 f4 f 12 f 32
DO NOT WRITE IN THIS AREA

6
*P48438A0620*
 23 One counter is taken at random from a bag.
1
The probability that the counter is red is
5
DO NOT WRITE IN THIS AREA

7
The probability that the counter is blue is
10
The rest of the counters are green.
What is the probability that the counter is green?

1 7 8 9
10 15 15 10

24 What is the length of the unknown side in this triangle to one decimal place?
DO NOT WRITE IN THIS AREA

Diagram NOT
13 cm accurately drawn
5 cm

6.0 cm 8.0 cm 12.0 cm 13.9 cm

25 Round 7.157 901 2 to 3 significant figures.

7.15 7.16 7.157 7.158

DO NOT WRITE IN THIS AREA

26 A regular polygon has exterior angles of 60°

What is the sum of the polygon’s interior angles?

180° 360° 540° 720°

7
*P48438A0720* Turn over
27 Factorise
y2í

DO NOT WRITE IN THIS AREA

y ( yí y ( yí yíyí yíy

28 The area of a shape is 24 cm2.

The shape is then enlarged by a scale factor of 3
What is the area of the enlarged shape?

72 cm2 142 cm2 216 cm2 648 cm2

DO NOT WRITE IN THIS AREA

29 A fair, 6-sided die has faces that are numbered 1, 2, 3, 4, 5 and 6
The die is rolled twice.
What is the probability of getting a 2 on both rolls?

2 4 1 4
6 6 36 36

2
−
30 Find the value of 64 3

1 1
DO NOT WRITE IN THIS AREA

16  í 512  í

TOTAL FOR SECTION A IS 30 MARKS

8
*P48438A0820*
 SECTION B

Answer ALL questions.

DO NOT WRITE IN THIS AREA

You must show all your working.

31 Here are the first five terms of an arithmetic sequence.
7, 12, 17, 22, 27, …
 D:KDWDUHWKHQH[WWHUPVLQWKHVHTXHQFH"

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

(1)
 E:KDWLVWKHnth term of the sequence?

.........................................
DO NOT WRITE IN THIS AREA

(2)
 F:KDWLVWKHWKWHUPRIWKHVHTXHQFH"

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

(1)

(Total for Question 31 is 4 marks)

32 D:KDWLVWKH/RZHVW&RPPRQ0XOWLSOH/&0RIDQG"

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

(1)
 E:KDWLVWKH+LJKHVW&RPPRQ)DFWRU+&)RIDQG"
DO NOT WRITE IN THIS AREA

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

(1)

(Total for Question 32 is 2 marks)

9
*P48438A0920* Turn over
33 D$WULDQJOHKDVRQHDQJOHRIƒDQGDQRWKHUDQJOHRIƒ
What is the size of the third angle in this triangle?

DO NOT WRITE IN THIS AREA

°
. . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . .

(2)
 E$SHQWDJRQKDVWZRULJKWDQJOHVDQGWZRDQJOHVRIƒ
What is the size of the fifth angle in this pentagon?

DO NOT WRITE IN THIS AREA

°
. . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . .

(2)

(Total for Question 33 is 4 marks)

DO NOT WRITE IN THIS AREA

10
*P48438A01020*
 34 D([SDQG
4 (6 fí
DO NOT WRITE IN THIS AREA

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

(1)
 E)DFWRULVHIXOO\
6y2 + 33y

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

(1)
 F6ROYH
4kí 
DO NOT WRITE IN THIS AREA

k = .........................................
(2)

(Total for Question 34 is 4 marks)

35 Record the following data in an ordered stem and leaf diagram below.
35, 63, 45, 45, 56, 49, 31, 65, 50, 65, 43, 61
DO NOT WRITE IN THIS AREA

Key:

(Total for Question 35 is 3 marks)

11
*P48438A01120* Turn over
36 Ewan, Renee and Zakir share $300 in the ratio 8 : 4 : 3
How much does Renee get?

DO NOT WRITE IN THIS AREA

$ .........................................

(Total for Question 36 is 2 marks)

37 D:KDWLVRXWRIDVDSHUFHQWDJH"

DO NOT WRITE IN THIS AREA

......................................... %.
(1)
 E'HFUHDVHNJE\

......................................... kg
(1)
 F&RQYHUWWKHUHFXUULQJGHFLPDO « LQWRDIUDFWLRQ
Show all of your working.

DO NOT WRITE IN THIS AREA

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

(2)

(Total for Question 37 is 4 marks)

12
*P48438A01220*
 38 D$FLUFOHKDVGLDPHWHUFP
  L :KDWLVWKHFLUFXPIHUHQFHRIWKHFLUFOH"
DO NOT WRITE IN THIS AREA

......................................... cm
(1)
  LL:KDWLVWKHDUHDRIWKHFLUFOH"

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . cm2
(1)
 E$VKDSHLVPDGHE\SXWWLQJDVHPLFLUFOHRQWRSRIDVTXDUHZLWKVLGHFP
DO NOT WRITE IN THIS AREA

Diagram NOT
accurately drawn
12 cm

12 cm

What is the perimeter of this shape?

DO NOT WRITE IN THIS AREA

......................................... cm
(2)

(Total for Question 38 is 4 marks)

13
*P48438A01320* Turn over
39 What type of correlation is shown on the scatter diagram below?

DO NOT WRITE IN THIS AREA

y

100

90

80

70

60

50

40

30

DO NOT WRITE IN THIS AREA

20

10

0
0 10 20 30 40 50 60 70 80 90 100 x

DO NOT WRITE IN THIS AREA

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

(Total for Question 39 is 1 mark)

14
*P48438A01420*
 40 D:RUNRXWWKHOHQJWKRIWKHXQNQRZQVLGHRIWKLVWULDQJOH

6 cm
DO NOT WRITE IN THIS AREA

Diagram NOT
14 cm accurately drawn
DO NOT WRITE IN THIS AREA

......................................... cm
(2)
 E:RUNRXWWKHOHQJWKRIWKHVLGHODEHOOHGh in this triangle.

Diagram NOT
h
accurately drawn

60°
DO NOT WRITE IN THIS AREA

5 cm

......................................... cm
(2)

(Total for Question 40 is 4 marks)

15
*P48438A01520* Turn over
41 D0DNH t the subject of the formula
C = 4t + 3

DO NOT WRITE IN THIS AREA

t = .........................................
(1)
 E6ROYH x + 3 < 18

DO NOT WRITE IN THIS AREA

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

(2)
3a 2a
 F:ULWHDVDVLQJOHIUDFWLRQ +
5 7

DO NOT WRITE IN THIS AREA

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

(2)

(Total for Question 41 is 5 marks)

16
*P48438A01620*
 42 'UDZWKHVWUDLJKWOLQHJUDSKZLWKJUDGLHQWRIDQGLQWHUFHSWDWíRQWKHy-axis.

y
DO NOT WRITE IN THIS AREA

10

2
DO NOT WRITE IN THIS AREA

í í í í O 1 2 3 4 x
í

í

í

í

í

í
DO NOT WRITE IN THIS AREA

í

í

í

í

(Total for Question 42 is 2 marks)

17
*P48438A01720* Turn over
43 Work out an estimate of the mean height from this grouped frequency table.

DO NOT WRITE IN THIS AREA

+HLJKWFP Frequency

100 - h < 120 4

120 - h < 140 9

140 - h < 160 11

160 - h < 180 6

DO NOT WRITE IN THIS AREA

......................................... cm

(Total for Question 43 is 3 marks)

DO NOT WRITE IN THIS AREA

18
*P48438A01820*
 g7 × g3
44 D:ULWH as a single power of g
g6
DO NOT WRITE IN THIS AREA

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

(2)
 E:KDWLVWKHYDOXHRI0 ?
DO NOT WRITE IN THIS AREA

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

(1)
 F:RUNRXW

(3.1 × 10 ) × (4.2 × 10 )
5 2

Give your answer in standard form.

DO NOT WRITE IN THIS AREA

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

(2)

(Total for Question 44 is 5 marks)

19
*P48438A01920* Turn over
45 A packet contains 500 seeds.
The probability that each seed germinates is 0.95

DO NOT WRITE IN THIS AREA

 D +RZPDQ\RIWKHVHHGVDUHH[SHFWHGWRJHUPLQDWH"

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

(1)
 E%ULDQSODQWVWZRRIWKHVHHGV
Complete the tree diagram to show the probability that they germinate.

First seed Second seed

Germinate
....................

DO NOT WRITE IN THIS AREA

Germinate
0.95

....................
Not germinate

Germinate
....................

. ...................
Not germinate

....................
Not germinate
DO NOT WRITE IN THIS AREA

(2)

(Total for Question 45 is 3 marks)

TOTAL FOR SECTION B IS 50 MARKS

TOTAL FOR PAPER IS 80 MARKS

20
*P48438A02020*