20

19 Find the highest common factor (HCF) of 54 and 120 (2)

10 Jason says,

 “The cube root of 27 is 9 because 27 divided by 3 is 9”

Is Jason correct?
You must give a reason for your answer. (1)

5 Write down two factors of 32 (1)

4 Here are some temperatures in °C.

\(-3\) 5 \(-6\) 7 2

Write the temperatures in order.
Start with the lowest temperature. (1)

4 Write down a multiple of 8 that is between 25 and 35 (1)

1 Find the highest common factor (HCF) of 54 and 120 (2)

1

16

8 Junaid says that 20 is a square number because \(10^2 = 20\)

Chloe says,

“When you divide an even number by an even number the answer is always an even number.”

5 Find the number that is exactly halfway between \(-2\) and 8 (1)

5 Find the value of \(\sqrt{2.25}\) (1)

4 Write down the multiple of 9 that is between 20 and 30 (1)

4 Write the following numbers in order.
Start with the lowest number.

\(-3\) 4 \(-7\) 6 0 (1)

3 Write down two factors of 16 (1)

1 Write down the value of the 7 in the number 3721 (1)

24 \(A\) and \(B\) are numbers such that

\(A = 2^2 \times 3^4 \times 7\)
\(B = 3^2 \times 7^2\)

21 Write 60 as a product of its prime factors. (2)

7 Write down three different factors of 20 (2)

5 Here is a list of numbers.

One of these numbers is a multiple of 25

Which number? (1)

5

Write these numbers in order of size.
Start with the smallest number. (1)

1 Write the number three thousand one hundred and seven in figures. (1)

19 Write 500 as a product of powers of its prime factors. (3)

5 Here are four cards.
There is a number on each card.

Write down the smallest 4-digit even number that can be made using each card only once. (1)

5 Here is a list of numbers.

From the list, write down a multiple of 3 (1)

4 Write down a factor of 60 that is between 8 and 14 (1)

3 Write down the 7th odd number. (1)

2 Write down the value of the 2 in the number \(\;12\,345\) (1)

2 Work out \(\quad 3^2\) (1)

1 Write the following numbers in order of size.
Start with the smallest number.

(1)

24 Write 124 as a product of its prime factors. (2)

21 Work out the lowest common multiple (LCM) of 24 and 56 (2)

6 Write the following numbers in order of size.
Start with the smallest number.

\(-11\)    \(-2\)    8    \(-7\)    3    10 (1)

4 Write down the value of the 6 in the number 16 007 (1)

4 Write down a 3 digit number that is a multiple of 5 (1)

3 Write down two factors of 12 (1)

22

10 Rachel records the temperature in her garden at noon each day.

On Monday, the temperature was 5 °C.
On Tuesday, the temperature was 10° less than the temperature on Monday.
On Wednesday, the temperature was 3° greater than the temperature on Tuesday.

Find the difference between the temperature on Monday and the temperature on Wednesday.
You must show all your working. (2)

6 Here is a list of whole numbers from 21 to 30

21   22   23   24   25   26   27   28   29   30

5 Write down the value of \(7^2\) (1)

2 Write the following numbers in order of size.
Start with the smallest number.

\(8 \qquad {-7} \qquad {-10} \qquad 1 \qquad 0 \qquad {-2}\) (1)

2 Write down two factors of 35 (1)

9

2 Here is a card from a game.

13 \(x\) and \(y\) are two different positive numbers.

For each statement, tick the correct box. [2 marks]

4

1

1

16 \(c\) and \(d\) are positive numbers.

\(c\) is even.
\(d\) is odd.

Tick a box for each expression. [3 marks]

12 A code has five different digits written in order, starting with the smallest.

The last digit is the only square number.
The middle digit is the only even number.

Work out the code. [3 marks]

7

6

2 Here are four temperatures in degrees C

Write the temperatures in order, starting with the coldest. [2 marks]

22 The first two cube numbers are 1 and 8

Show that

the 3rd cube number can be written as the sum of three different prime numbers. [3 marks]

9 Put the whole numbers 1 to 12 into the boxes to make the calculations correct.

Only use each number once. [3 marks]

7 Put all the numbers   4, 5, 6, 10 and 20   into the grid

so that the numbers in each row and each column multiply to 120 [3 marks]

4 Write down all the factors of 45 [2 marks]

4

(a) Here is a number line.

Which number is at A? [1 mark]

(b) Here is another number line.

Which number is at B? [1 mark]

2 Write down the value of the digit 7 in 34 728 [1 mark]

2 The temperature was \(-11^\circ\)C and increases by \(5^\circ\)C

Work out the new temperature. [1 mark]

1

26 Write 36 as a product of prime factors.

Give your answer in index form. [3 marks]

15 Show that there are exactly five 3-digit cube numbers. [3 marks]

13 To make one cheese sandwich, Gina uses one bread roll and two cheese slices.

She is going to buy enough packs to

• have exactly twice as many cheese slices as bread rolls
• make more than 100 cheese sandwiches.

Work out the least amount she can spend. [4 marks]

9

6 Twelve cards numbered 1 to 12 are put into six pairs.

Each pair has a total.

Complete the table to show the pairs and their totals. [4 marks]

5 Write 36 as a product of prime factors.

Give your answer in index form. [3 marks]

4 Circle the correct statement. [1 mark]

• \(-4 \lt -3\)
• \(1 \leqslant -2\)
• \(-6 \gt 5\)
• \(-1 \geqslant 0\)

2 Circle the multiple of both 8 and 12 [1 mark]

• 4
• 32
• 72
• 108

1 Circle the lowest of these temperatures. [1 mark]

• –4.9°C
• 0°C
• –7°C
• 0.1°C