Practice Questions Cambridge IGCSE Mathematics 0580 - GCE Guide

Practice Questions Cambridge IGCSETM Mathematics 0580

To accompany the revised syllabus for examination from 2020.

Version 1

Copyright ?UCLES April 2020

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Contents

Introduction ....................................................................................................................................4

Questions ........................................................................................................................................ 5

Simultaneous equations (E2.5)

5

Graphs of functions (E2.11)

6

Derivatives (E2.13)

12

Congruence (E4.5)

15

Alternate segment theorem (E4.7)

17

Sketch graphs of trigonometric functions (E6.3)

19

Conditional probability (E8.6)

22

Stem-and-leaf diagrams (C9.3 / E9.3)

23

Box-and-whisker plots (E9.6)

25

Answers and mark scheme .......................................................................................................27

Cambridge IGCSE Mathematics 0580 practice questions

Introduction

The purpose of this booklet is to provide additional practice questions and answers for some topics which have been introduced into Cambridge IGCSE Mathematics (0580) for first assessment in 2020. Practice questions have been provided to exemplify a range of types of questions which could appear either as whole questions or as parts of larger structured questions. The answers and a typical mark scheme are also provided. Other support materials are available on the School Support Hub

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E2.5 Simultaneous equations

1 Solve the simultaneous equations. You must show all your working.

5 y = 3x ? 2 y = x2

x = ........................ y = ........................ [4]

x = ........................ y = ........................ [4]

2 The graphs of y = 3x2 + 7x ? 4 and y + 2x = 10 intersect at the points A and B.

Find the coordinates of A and B. You must show all your working and give your answers correct to two decimal places.

? UCLES 2020

A (...................., ....................) [7] B (...................., ....................) [7]

0580/PQ/20

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