GCSE Mathematics Numerical Crosswords Foundation Written for the GCSE 9-1 Course

By Ian Winkworth

GCSE Mathematics Numerical Crosswords brings fun into learning and revising Mathematics!The only numerical crossword book like this on the market! Numerical Crosswords is based on the GCSE Mathematics Grade 9-1 Foundation Tier Course specifications and contains clear and fully worked through examination standard examples; complete answers and explanations for all questions; chapters with group questions into the key topics on the course (1. Number, 2. Algebra, 3. Ratio, Proportion and Rates of Change, 4. Geometry and Measures, 5. Probability and Statistics); and consolidation crosswords at the end of each chapter to revisit key themes.This book provides all the resources you need to succeed in GCSE Mathematics! The GCSE Mathematics Numerical Crosswords Higher Tier written for the GCSE 9-1 Course is also available.

• Language: English
• Publisher: University of Buckingham Press
• Release date: Jul 31, 2018
• ISBN: 9781789551105

Book preview

Copyright ©Ian Winkworth, 2018

Published by The University of Buckingham Press

Yeomanry House

Hunter Street

Buckingham MK18 1EG

www.ubpl.co.uk

All rights reserved. No reproduction, copy or transmission of this publication may be made without written permission.

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This book is sold subject to the condition that it shall not, by way of trade or otherwise, be lent, resold, hired out, or otherwise circulated without the publisher’s prior consent in any form of binding or cover other than that in which it is published and without a similar condition including this condition being imposed on the subsequent purchaser.

Any person who does any unauthorised act in relation to this publication may be liable to criminal prosecution and civil claims for damages.

ISBN 978-1-912500-05-5

Introduction

GCSE Mathematics Numerical Crosswords bring fun into learning and revising Mathematics in a focused, enjoyable and succinct format. The content of this book is based on the GCSE Mathematics grade 9-1 foundation tier course with fully worked examination standard examples and complete explanations for all questions. The structure of the book means that readers will cover each of the five key GCSE Mathematics areas quickly, with chapters on:

1. Number

2. Algebra

3. Ratio, Proportion and Rates of Change

4. Geometry and Measures

5. Probability and Statistics

At the end of each chapter is a consolidation crossword which revisits the key themes of the section.

Guidance on how to use this book

Read each crossword clue carefully and have a pen, paper and calculator ready to work through each problem. Once you have the answer to the clue write it in the crossword grid. Do not include any units (e.g. centimetres, kilograms, degrees etc.) when writing answers in the crossword grid, just write in the numerical solution. Unless stated, always write the answer to the last calculation for each clue in the grid. If you are unsure on how to answer a question use the examples on the right page of each crossword to help you. In the back of the book are full solutions, including explanations to every clue.

Contents

Chapter 1: Number

Crossword 1 - Number Types and Number Operations

Crossword 2 - Factors, Multiples and Listing Strategies

Crossword 3 - Indices, Roots and Standard Form

Crossword 4 - Fractions, Decimals and Percentages

Crossword 5 - Measures, Approximation and Estimation

Crossword 6 - Chapter 1 Consolidation Crossword

Chapter 2: Algebra

Crossword 7 - Algebraic Methods

Crossword 8 - Linear Equations and Inequalities

Crossword 9 - Straight Line Graphs and Simultaneous Equations

Crossword 10 - Quadratic Equations and Number Machines

Crossword 11 - Coordinates and Further Graphs

Crossword 12 - Sequences

Crossword 13 - Chapter 2 Consolidation Crossword

Chapter 3: Ratio, Proportion and Rates of Change

Crossword 14 - Ratio and Proportionality

Crossword 15 - Rates of Change and Compound Measures

Crossword 16 - Chapter 3 Consolidation Crossword

Chapter 4: Geometry and Measures

Crossword 17 - Angles, Congruency, Area and Perimeter

Crossword 18 - Vectors, Similar Shapes and Transformations

Crossword 19 - Circles, Bearings and Trigonometry

Crossword 20 - 3D Shapes, Surface Area and Volume

Crossword 21 - Chapter 4 Consolidation Crossword

Chapter 5: Probability and Statistics

Crossword 22 - Probability

Crossword 23 - Statistics

Crossword 24 - Chapter 5 Consolidation Crossword

Crossword Solutions

Chapter 1

Number

Crossword 1: Number Types and Number Operations

Across

1. Identify the largest odd number from the eight numbers below.

23, 18, 92, 41, 31, 12, 21, 90

3. Five numbers are shown inside heptagons below. What is the result of multiplying the prime number by 8?

6. A list of eight numbers is shown below. What is the product of the square and cube numbers in the list?

2, 3, 7, 10, 16, 26, 27, 29

7. Work out 288 − (−6)

9. Determine the value of (−5 − −2) × −180

10. In the number 12794, what is the value of the 9?

11. Work out (6 ² + 1) × (9 + −4)

14. Which one of the four symbols below should be placed in the empty box to make the statement true? Write the number underneath the correct symbol in the grid

17. Kevin buys 6 bags of marbles and Marie buys 14 bags of marbles. Each bag contains the same number of marbles. If Kevin’s 6 bags contain a total of 192 marbles, how many marbles in total are in Marie’s 14 bags?

Down

2. Which one of the following six numbers is a square number?

101, 198, 144, 109, 200, 120

3. Four numbers are shown inside stars below. What is the result of multiplying the cube number by 10?

4. In the number 9699, what is the value of the 6?

5. What is the 16 th even number?

8. Which one of the three symbols below should be placed in the empty box to make the statement true? Write the number underneath the correct symbol in the grid

11. Sarah has a total of £52 in a drawer made up entirely of fifty pence coins. How many fifty pence coins are in the drawer?

12. Amit starts buying comics at the rate of three per week. How many comics will Amit have bought after 176 weeks?

13. Work out 80 ÷ 2 + 2

15. Three 200 millilitre glasses full of water and five 150 millilitre glasses full of water are poured into an empty container. How many empty 30 millilitre glasses could be filled using the full contents of the container?

16. Batteries are sold in packs of four. Nicole requires 42 batteries. How many full packs of batteries will Nicole need to buy?

Number Types

The table below shows the first 12 odd, even, square, cube and prime numbers.

The following formulas can be used to determine the nth odd and even numbers.

Number Operations

Rules

Crossword 2: Factors, Multiples and Listing Strategies

Across

1. What is the 3 rd multiple of 41?

3. Sum of all the different factors of 16

5. Which one of the following three numbers has the fewest factors?

62, 52, 42

7. Determine one multiple of 10 and one factor of 32 that sum to 24. What is the product of the two numbers that are found?

8. Find two different factors of 18 that when added together give a two-digit cube number. Square the lower of the two factors found and write the result in the grid

10. Determine one multiple of 12 and one factor of 8 that sum to 64. What is the product of the two numbers that are found?

11. Write 105 as the product of its prime factors. Then multiply the smallest prime factor of 105 by 131 and write the result in the grid

13. Find the highest common factor (HCF) of the numbers inside the two quadrilaterals below

14. Find the HCF of the numbers inside the three circles below

17. Find the HCF of 28 and 48. Then add 974 to the HCF and write the result in the grid

18. Paintings are available in all combinations of the following three sizes, two colours and two price categories:

a) Size: small (s), medium (m), large (l).

b) Colour: blue (b), purple (p).

c) Price: cheap (c), expensive (e).

List all the different options for a painting. Use the letters in brackets after each word to help you list the options. Then subtract the total number of options from 699 and write the result in the grid

Down

1. What is the 8 th multiple of 16?

2. Sum of all factors of 22

4. Find the lowest common multiple (LCM) of 15 and 25. Then add 105 to the LCM value and write the result in the grid

6. What is the 186 th multiple of 12?

9. Write 112 as the product of its prime factors in index form a n × b where n > 1. Then subtract the value of b from 141 and write the result in the grid

12. Complete the factor tree below to find the value of x

13. Imelda looks out of her window every 20 minutes and Maya looks out of her window every 35 minutes. They both look out of their windows at exactly 11 am one morning. How many minutes after 11 am will they both next look out of their windows at the same time?

15. List the six different three-digit numbers that can be formed by using the numbers in the hexagons below. Subtract the smallest of the six numbers formed from the largest of the six numbers formed and write the result in the grid

16. What is the 7 th multiple of 8?

Factors and Multiples