Audio test 2 Contents
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A CIP record of this book is available from the British Library.
Publisher: Fiona McGlade
Author: Katherine Pate
Contributor: Frances Naismith
Project manager and editorial: Chantal Addy
Cover design: Sarah Duxbury
Inside concept design: Ian Wrigley
Text design and layout: Rose & Thorn Creative Services Ltd
Artwork: Shutterstock and Collins
Production: Bethany Brohm Printed in India
Common factors and multiples
Challenge 1
1 Write the first 5 multiples of 8.
2 a) Write all the factors of 28.
b) Write all the factors of 40.
c) Write all the common factors of 28 and 40.
3 Circle all the multiples of 3 in this grid.
Challenge 2
1 Write all the common factors of 24 and 32.
2 a) Write the first ten multiples of 5.
b) Write the first ten multiples of 4.
c) Write two common multiples of 4 and 5.
3 a) Write all the common factors of 8 and 6.
b) Write the first three common multiples of 8 and 6.
4 Circle the numbers that are divisible by 9 and also by 4.
5 I t hink of a prime number greater than 5. The number is a factor of 39 and of 52.
Challenge 3
1 Write two common multiples of 2, 3 and 5. and
2 Write all the common factors of 8, 16 and 20.
3 I t hink of a number between 100 and 200.
My number is a factor of 600 and a multiple of 20.
W hat is my number?
4 In a perfect number, the sum of the factors (excluding the number itself) equals the number itself.
For example, the factors of 6 are 1, 2 and 3.
The sum of factors = 1 + 2 + 3 = 6
So, 6 is a perfect number.
W hich of these is a perfect number?
5 Tisha writes a list of common multiples of 3, 6 and 8. W hat is the smallest number in Tisha’s list?
Progress test 1
1. The numbers in this sequence increase by the same amount each time.
Write the missing numbers.
2. Write this number in figures. six million, four hundred and twenty-three thousand, five hundred and six
3. Complete this multiplication grid.
4. Write the number that is 100 less than 1010.
5. Write these decimals in order, starting with the smallest.
6. Write the missing numbers in these boxes on the number line.
7. a) Write down all the factors of 36.
b) Write all the common factors of 36 and 48.
8. Work out:
1999 + 300 =
9. Write the value of the digit 2 in each number.
a) 32 456
b) 3765.2
c) 245 763
10. In this number pyramid, each number is the difference between the two numbers above.
Difference between 1426 and 875
Complete the pyramid.
11. Circle every prime number in this list. 32
12. Meghan puts eggs into boxes. She has 340 eggs.
Each box holds 12 eggs.
a) How many boxes can Meghan fill with eggs? boxes
b) How many eggs are left over? eggs
13. Write three common multiples of 6 and 10.
14. At 2 pm the temperature is 8°C. At 9 pm the temperature is −5°C.
Work out the difference between these two temperatures.
15. Work out:
6 + 4 × 3 – 2 =
16. Work out:
12 200 – 1250 =
17. Write the number 37 609 in words.
18. Work out:
275 × 34 =
19. Work out: 53 – 42 =
20. Work out: 7 2702
21. Circle every square number:
22. Work out: 18.36 – 4.5 =
23. Write the temperature that is 15 degrees lower than 6°C.
24 . Divide 132 by 5. Write the remainder as a fraction.
25. Work out: (3 × 7 + (11 – 8)) ÷ 4 =
26. Round 46 237.95:
a) to the nearest whole number.
b) to the nearest ten.
c) to the nearest thousand.
d) to the nearest ten thousand.
27. There are 792 children in a school. The children are put into classes of 24. How many classes are there?
28. 1 notepad costs £2.30
Write a calculation to estimate the cost of 82 of these notepads.
29. Tom wants to put LED lights all along the top of his bedroom walls.
Here is a plan of his bedroom.
Calculate an estimate of the length of LED lights Tom needs.
Give your answer to the nearest metre.
30. A packet of stickers costs 89p.
Work out the cost of 75 packets of stickers.
31. Mike cuts 3 metres of wood into 11 equal pieces.
Work out the length of one piece in centimetres, accurate to one decimal place. cm
How am I doing?
Area of triangles and parallelograms
Challenge 1
1 Use the formula to work out the area of the triangle below.
area of triangle = base × height 2
2 Use the formula to work out the area of the parallelogram below.
area of parallelogram = base × height
Challenge 2
1 Work out the area of each triangle.
2 Work out the area of each parallelogram.
3 The area of this parallelogram is 72 cm2 .
Work out the length of b, the base of the parallelogram.
Challenge 3
1 Work out the area of each shape.
2 The area of this triangle is 28 m2 .
Work out the height, h, of the triangle.
3 Work out the
How am I doing?