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assets cambridge 97811076 09884 frontmatter Th e Core Practice Book mirrors the chapters and subtopics of the Cambridge IGCSE Mathematics Core and Extended Coursebook written by Karen Morrison and Nick Hamshaw (9781107606272) However, this book has been written such that it can be used without the coursebook;

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Description

Example Practice Papers for Cambridge IGCSE® Mathematics Core Practice Book

Example Practice Paper 1

- give the answer as follows:
- - to three significant figures for all values,
- - to one decimal place for degrees

- for π,

use either your calculator value or 3

PLEASE NOTE: this practice examination paper has been written in association with the below publication and is not an official exam paper:

- (a) Calculate

54 − 31

Answer(a)

……………………………

…………………………… [1]

- (b) Write 216
- 9 in standard form

- starting with the smallest
- ………
- < ……… < ……… [1]

3 North

In a sale,

- all prices are reduced by 33%

……………………………… [2]

……………………………… [2]

Cambridge International Examinations does not take responsibility for this content or the associated answers

Simplify the following (a) 3a 2 × 8a 4

…………………………… [2]

Answer(b)

…………………………… [2]

- 3b3 × 8b −4 6b5

Work out the value of

- 5 53 ÷ 1 23

Answer ………………………………… [2]

- (a) 3 + 18 ÷ 3 – 2

…………………………… [1]

Answer(b)

…………………………… [1]

- (b) 2 + 3 × 7 – 4 ÷ 8
- 3 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

© Cambridge University Press,

Points A,

JJJG (a) Write BA as a column vector

⎛ JJJG ⎜ BA = ⎜ ⎜ ⎝

- 2 Plot the point D'on the grid above

(c) What name is given to the shape formed by the points A,

…………………………… [1]

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge International Examinations does not take responsibility for this content or the associated answers

© Cambridge University Press,

- 2x + y = 4 3x + 2 y = 5

x = …………………………

y = ………………………… [3]

- 10 A tourist changes $500 to euros (€) when the exchange rate is €1 = $0

Give your answer correct to 2 decimal places

Using straight edge and compasses only construct the locus of points that are equidistant from the lines AB and AC

Show all your construction arcs clearly

- 12 The area of a semi-circle is 119

Answer ………………………………… [3]

- 13 A girl travels 3 miles to visit her friend,

completing the journey in 1 hour

and immediately makes the return journey at 2 miles per hour

(a) Calculate how long the return journey took

Answer(a) ……………………………… [1] (b) Calculate the average speed for her entire journey

- (b) Simplify completely

Answer(a)

…………………………… [1]

Answer(b)

…………………………… [3]

- 5(3x − y ) − 7(8 x − 5 y )

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

- to a circle centre O

The line CE passes through the centre of the circle and is parallel to the line FG

Angle ODF = 32°

In each case give a reason for your answer

(a) Angle DFG = …………………

because …………………………………………………

……………………………………………………………………………………………… [2]

(b) Angle DCF = …………………

because …………………………………………………

……………………………………………………………………………………………… [2]

(c) Angle FDB = …………………

because …………………………………………………

……………………………………………………………………………………………… [2]

- 7 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

16 10 cm

…………………………… [3]

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

- 17 Tiles labelled with the letters M A T H E M A T I C S are placed in a bag

Answer(a)

…………………………… [1]

Answer(b)

…………………………… [1]

Answer(c)

…………………………… [2]

- (b) Drawing an M or a T
- (c) Drawing a vowel
- 18 (a) Write down all the common factors of 36 and 45

…………………………… [2]

(b) Write down the smallest number which is a multiple of both 25 and 15

…………………………… [2]

- 9 Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

- 19 The length of a rectangle is 5 cm,
- the width is 10 cm

(a) Write down the upper bound for the length of the rectangle

…………………………cm [1]

(b) Write down the lower bound for the width of the rectangle

………………………cm [1]

Written specifically for the publication ‘Cambridge IGCSE Mathematics Core Practice Book’

Cambridge IGCSE Mathematics Core Practice Book Example Practice Paper 1 Mark Scheme Key:

- oe – Or Equivalent

“ ” – allow M marks for methods that include wrong answers from previous results

- (a) (b)

169 × 102

35% < 0