Powers and roots

Write a number in the box to make the statement correct.

Work out the difference between the largest number in the list and the smallest number in the list.

Here is a list of numbers.

2 8 9 18 24 28

From the numbers in the list, write down

an odd number

a number that is a multiple of both 4 and 6

a cube number

a prime number

Work out the value of

Find the value of 3.4²

Find the cube root of 373 248

Write 7 7 7 7 7 7 as a single power of 7

Write one set of brackets in each calculation to make the answer correct.

5 + 3 × 2 = 16

10 − 8 − 10 − 6 ÷ 2 = 0

The diagram shows the design for a badge, which will be made using wire. The design is a circle inside a square ABCD

The circle touches the square at the points E, F, G and H

The area of the square is 81 cm²

Calculate the total length of wire that will be needed to make the square and the circle. Give your answer correct to 3 significant figures.

Write down the prime number that lies between 90 and 100

Find the cube root of 79 507

Work out the value of 4² × 5³

Here is a list of numbers.

9 11 13 15 21 60

From the numbers in the list, write down

the even number

the square number

the multiple of 7

the factor of 30

Here is a list of numbers.

2 8 14 15 16 18 20

From this list, write down

the odd number

the multiple of 6

the square number

the prime number

two numbers with a sum of 26

Write 0.8 as a percentage.

Write down the value of the 3 in the number 4.7634

Write these decimals in order of size. Start with the smallest decimal.

0.204 0.24 0.04 0.2 0.042

Write 25.786 21 correct to 2 decimal places.

Find the square root of 1296

Here is a list of numbers.

3 6 7 8 11 25 27

From the numbers in the list, write down

an even number

a multiple of 9

a square number

a prime number

Use brackets to make the statement correct. You may use more than one pair of brackets in the statement.

Find the value of

14³

Write a number on each dotted line to make the calculation correct.

10 –........ 2 = 4

(5 +........)3 = 36

Here is a list of numbers in a box.

From the numbers in the list, write down

a multiple of 11

a factor of 30

a square number

a prime number

two numbers whose sum is 84

Simplify p + p + p + p + p + p

Simplify 5y² + 6y² – 3y²

Simplify eeeee

Simplify 5c4d

Solve x – 7 = 19

18² + 15² – 5³ = 4n

Work out the value of n.

Factorise 9t – 6

Here is a list of numbers.

From this list, write down

an even number

a multiple of 3

a prime number

a cube number

Work out 16 ÷ 4 + 38

Find the cube root of 5832

Write 85% as a decimal.

Write these fractions in order of size. Start with the smallest fraction.

Write 36 as a fraction of 96 Give your fraction in its simplest form.

Write in figures the number seventy thousand, two hundred and sixteen.

Write down a common factor of 20 and 30

Write down a square number that is between 20 and 40

Find the cube root of 3375

Write brackets in the following calculation so that the answer is correct.

42 – 6 ÷ 6 – 3 = 40

From the numbers in the box, write down

an odd number

a multiple of 12

a square number

a prime number

Write 720 as a product of its prime factors. Show your working clearly.

Find the smallest whole number that 720 can be multiplied by to give a square number.

Write 7 7 7 7 7 as a power of 7

Show that 64 is both a square number and a cube number.

Find the value of 11³

Find the cube root of 421.875

Work out the value of

Write down all the figures on your calculator display.

Write your answer to part (b)(i) correct to 2 significant figures.