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#### Mathematics Core Practice Book Example Practice Papers

Description

Example Practice Papers for Cambridge IGCSE® Mathematics Core Practice Book

Example Practice Paper 1

# Cambridge IGCSE Mathematics Core Practice Book Example Practice Paper 1

### If the answer is not exact but a degree of accuracy has not been provided,

• 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

# The total of the marks for this paper is 56

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

## Paperback 9781107609884

• (a) Calculate

54 − 31

……………………………

…………………………… [1]

• (b) Write 216
• 9 in standard form

## Write the following in order,

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

3 North

### Work out the bearing of S from R

In a sale,

• all prices are reduced by 33%

……………………………… [2]

……………………………… [2]

# 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

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

…………………………… [2]

…………………………… [2]

• 3b3 × 8b −4 6b5

Work out the value of

• 5 53 ÷ 1 23

# Work out the following

• (a) 3 + 18 ÷ 3 – 2

…………………………… [1]

…………………………… [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

Points A,

### B and C are shown on the grid

JJJG (a) Write BA as a column vector

⎛ JJJG ⎜ BA = ⎜ ⎜ ⎝

### JJJG 1 JJJG (b) D'is another point such that CD = BA

• 2 Plot the point D'on the grid above

### ⎞ ⎟ ⎟ ⎟ ⎠

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

# C and D

…………………………… [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

### Solve the simultaneous equations

• 2x + y = 4 3x + 2 y = 5

x = …………………………

y = ………………………… [3]

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

### Calculate the amount he receives

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

#### 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

• 12 The area of a semi-circle is 119

#### Calculate the radius of the circle

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

completing the journey in 1 hour

### She finds her friend is not at home,

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

# Answer(b) ……………………………… [2] 14 (a) Factorise 6 p 3 + 2 pq

• (b) Simplify completely

…………………………… [1]

…………………………… [3]

• 5(3x − y ) − 7(8 x − 5 y )

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

# The line AB is tangent,

• 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°

# Write down the size of the following angles

(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’

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

16 10 cm

# The logo above is made up of a triangle and a semi-circle with a smaller semi-circle removed

…………………………… [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

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

### Calculate the probability of the following events (a) Drawing an M

…………………………… [1]

…………………………… [1]

…………………………… [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’

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

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

# Both measurements are to the nearest 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 International Examinations does not take responsibility for this content or the associated answers

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

# M – Method marks awarded for clear attempt to apply correct method

• oe – Or Equivalent

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

• (a) (b)

169 × 102

35% < 0

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