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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

Mark scheme for Paper 1

Example Practice Paper 3

Mark scheme for Paper 3

Cambridge IGCSE Mathematics Core Practice Book Example Practice Paper 1

PLEASE NOTE: this example practice paper contains exam-style questions only

READ THESE INSTRUCTIONS FIRST Answer all questions

Working for a question should be written below the question

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

- for π,

use either your calculator value or 3

The number of marks is given in brackets [ ] next to each question or part question

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

54 − 31

Answer(a)

……………………………

Answer(b)

…………………………… [1]

Write the following in order,

3 North

NOT TO SCALE

North S 253°

The bearing of R from S is 253°

Work out the bearing of S from R

In a sale,

What is the sale price of a television that cost $650 before the sale

Answer 2

……………………………… [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

© Cambridge University Press,

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

Answer(a)

…………………………… [2]

Answer(b)

…………………………… [2]

Work out the value of

Show all your working and leave your answer as a fraction

Answer ………………………………… [2]

Work out the following

Answer(a)

…………………………… [1]

Answer(b)

…………………………… [1]

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

© Cambridge University Press,

Points A,

B and C are shown on the grid

JJJG (a) Write BA as a column vector

⎛ JJJG ⎜ BA = ⎜ ⎜ ⎝

Answer(a)

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

⎞ ⎟ ⎟ ⎟ ⎠

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

C and D

Answer(c)

…………………………… [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,

Solve the simultaneous equations

x = …………………………

y = ………………………… [3]

Calculate the amount he receives

Give your answer correct to 2 decimal places

Answer ………………………………… [3]

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

© Cambridge University Press,

Calculate the radius of the circle

Answer ………………………………… [3]

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

Answer(a)

…………………………… [1]

Answer(b)

…………………………… [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,

The line AB is tangent,

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

In each case give a reason for your answer

(a) Angle DFG = …………………

because …………………………………………………

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

(b) Angle DCF = …………………

because …………………………………………………

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

(c) Angle FDB = …………………

because …………………………………………………

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

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

© Cambridge University Press,

16 10 cm

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

Calculate the shaded area

…………………………… [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,

One letter is selected at random

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

Answer(a)

…………………………… [1]

Answer(b)

…………………………… [1]

Answer(c)

…………………………… [2]

Answer(a)

…………………………… [2]

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

Answer(b)

…………………………… [2]

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

© Cambridge University Press,

Both measurements are to the nearest cm

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

Answer(a)

…………………………cm [1]

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

Answer(b)

………………………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 University Press,

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

A – Accuracy marks awarded for a correct answer seen

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

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

169 × 102

A1 A1 4 11

35% < 0

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