Percentages

Shade 40% of this shape.

Find the value of each of the following.

60% of 315

3⁵

Calculate 7² × 2³.

Calculate 0∙04 × 0∙9.

Calculate 11% of 8400.

Write down the next two numbers in the following sequence.

Find 13∙5% of 63.

A number has been decreased by 20% to give an answer of 84.

What was the original number?

A number has been decreased by 20% to give an answer of 84.

What was the original number?

Calculate the following.

You must show all your working.

Express £19.44 as a percentage of £36.

Calculate the following.

You must show all your working.

Express £19.44 as a percentage of £36.

Express 96 as a percentage of 300.

Share £48 in the ratio 1: 7.

Evaluate 55% of 42·8.

Express 96 as a percentage of 300.

Share £48 in the ratio 1: 7.

Evaluate 55% of 42·8.

Which one of the following is not equal to a recurring decimal?

Circle the correct answer.

Give your answer in metres.

Express 25 minutes as a percentage of 2 hours 5 minutes.

Write your answer correct to the nearest thousand.

Calculate 4% of £250.

Laura thinks of a number.

What is 50% of Laura’s number?

50% of Laura’s number is_{……………........ ………}

Give your answer in metres.

Express 25 minutes as a percentage of 2 hours 5 minutes.

A cup contains some tea.

Elsie drinks of the tea. There are 44 ml of tea left in the cup.

How much tea was in the cup before Elsie drank any?

£285 is decreased by 4%. This is done 3 times in total. Each time, the previous value is decreased by 4%. What calculation would you use to find the value after the 3 decreases?

Circle your answer.

£285×1⋅04³ £285×0⋅04³ £285×0⋅96³ £285×0⋅6³ £285×0⋅96²

A number has been decreased by 10% to give an answer of 34·2.

What was the original number?

A number has been decreased by 10% to give an answer of 34·2.

What was the original number?

Billy thinks of a number. Billy halves his number. His answer is 58.

What number did Billy think of?

Siân thinks of a different number. Siân squares her number. Her answer is 9.

What number did Siân think of?

Calculate 40% of 120.

Express 48 as a percentage of 400.

Share £45 in the ratio 8: 1.

£_........ and £_........

Express 1 as a single fraction in the form , where a and b are integers.

Express 48 as a percentage of 400.

Share £45 in the ratio 8: 1.

£_........ and £_........

Express 1 as a single fraction in the form , where a and b are integers.

What percentage of the whole circle is shaded?

You must show how you calculated your answer.

What tangent property of circles did you use in order to answer part (a)?

A number is decreased by 5% of its value. This is done 4 times in total. Each time, the value decreases by 5%.

Circle the multiplier that you would use to find the value after the 4 decreases.

A number has been decreased by 17% to give an answer of 3569.

What was the original number?

What percentage of the whole circle is shaded?

You must show how you calculated your answer.

What tangent property of circles did you use in order to answer part (a)?

A number is decreased by 5% of its value. This is done 4 times in total. Each time, the value decreases by 5%.

Circle the multiplier that you would use to find the value after the 4 decreases.

A number has been decreased by 17% to give an answer of 3569.

What was the original number?

Calculate each of the following.

2·7 squared

the square root of 11·56

60% of 28

Express 21·76 as a percentage of 32.

Express 21·76 as a percentage of 32.

Solve 5t 3 3t 14.

A number has been increased by 60% to give an answer of 64.

What was the original number?

A number has been increased by 60% to give an answer of 64.

What was the original number?

Calculate each of the following.

3² 2³

124 4

15% of 280

Calculate each of the following.

3² 2³

124 4

15% of 280

Calculate the following.

3·5% of 159·8

Find the value of each of the following.

4·8 squared

The square root of 62.41 (b)

4% of 325

Give your answer correct to 3 decimal places.

Evaluate

Give your answer correct to the nearest whole number.

Express 54 miles as a percentage of 300 miles.

A car travels 100 miles in 2 hours and 30 minutes.

Calculate its average speed in miles per hour.

Give your answer correct to 3 decimal places.

Evaluate

Give your answer correct to the nearest whole number.

The number shown on each diagram below is 20% greater than the number shown on the previous diagram.

Diagram 1 Diagram 2 Diagram 3

Diagram not drawn to scale

Find the number that should be shown on Diagram 6.

The number shown on each diagram below is 20% greater than the number shown on the previous diagram.

Diagram 1 Diagram 2 Diagram 3

Diagram not drawn to scale

Find the number that should be shown on Diagram 6.

What percentage of this diagram has been shaded?

Evaluate 5·4³ × 3·7².

Give your answer correct to the nearest 10.

Find 62% of 7·8.

Which one of the following numbers is a multiple of 19?

Circle your answer.

91 151 199 219 247

Which one of the following numbers is a cube number?

Circle your answer.

1197 2197 3197 4197 5197

Evaluate 5·4³ × 3·7².

Give your answer correct to the nearest 10.

Find 62% of 7·8.

Which one of the following numbers is a multiple of 19?

Circle your answer.

91 151 199 219 247

Which one of the following numbers is a cube number?

Circle your answer.

1197 2197 3197 4197 5197

An amount written correct to the nearest £10 is £7180. This amount is increased by 23·5%, correct to the nearest 0·1%. Calculate the least possible value of the increased amount.

Give your answer correct to the nearest pound.

Match each expression with its value.

The first one has been done for you.

Space for working:

Express 60 out of 300 as a percentage.

Some people were asked a question.

40% of the people answered ‘Yes’. A sketch of a pie chart showing this information is shown below.

Calculate the size of angle x so that the pie chart can be drawn accurately.

Sian thinks of a number.

Its value is increased by 25%.

Express the original number as a percentage of the increased number.

What percentage of the following shape is shaded?

You are given the value of 25% of a number.

Explain how you can find the value of the number.

Explain how you know that is greater than

18% of £256 is shared in the ratio 2: 1. Calculate the value of the larger share. Give your answer to the nearest 10p.

You must show all your working.

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

18% of £256 is shared in the ratio 2: 1. Calculate the value of the larger share. Give your answer to the nearest 10p.

You must show all your working.

When a number is reduced by 15%, the answer is 6154.

What is the original number?

When a number is reduced by 15%, the answer is 6154.

What is the original number?

Which of the following amounts is larger?

• 15% of £600, OR

You must show all your working.

Larger amount is £_........

Efa thinks of two whole numbers. She multiplies her numbers together. She then adds 12. The answer is 120.

What two numbers could Efa have been thinking about?

Efa’s two numbers could be_{…........ ……} and_{…........ ……}

Jac thinks of a number. 25% of his number is 35.

You must show all your working.

Choose any number.

Show that of 25% of your number = of 20% of your number.

Choose any number.

Show that of 25% of your number = of 20% of your number.

A number is decreased by 12% of its value. This is done 3 times, each time decreasing the previous value by 12%.

Circle the multiplier that you would use to find the value after the 3 decreases.

Calculate the percentage change when 42.5 is increased to 45.9. (b)

A number is decreased by 12% of its value. This is done 3 times, each time decreasing the previous value by 12%.

Circle the multiplier that you would use to find the value after the 3 decreases.

Calculate the percentage change when 42.5 is increased to 45.9. (b)

A googol is the number 1 × 10¹⁰⁰.

Circle the value that is 90% of a googol.

Find the whole number that satisfies all of the following conditions.

• It is a whole number between 1 and 100 inclusive. • 10% of the number is greater than 2 but less than 8. • of the number is a square number.

• The number is not a multiple of 4.

Find the value of each of the following.

30% of 275

Cube A and cuboid B are shown below.

Express the volume of B as a percentage of the volume of A.

You must show all your working.

Find the whole number that satisfies all of the following conditions.

• It is a whole number between 1 and 100 inclusive. • 10% of the number is greater than 2 but less than 8. • of the number is a square number.

• The number is not a multiple of 4.

Circle the correct answer.

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Cube A and cuboid B are shown below.

Express the volume of B as a percentage of the volume of A.

You must show all your working.

The highest common factor (HCF) of 30 and 75 is the square root of a number.

What is the number?

The cube root of 32.768 is 33 % of a number.

What is the number?

Circle the best approximate value for the following calculation.

110 12 11 120 10

Circle the correct answer.

The highest common factor (HCF) of 30 and 75 is the square root of a number.

What is the number?

The cube root of 32.768 is 33 % of a number.

What is the number?

Calculate 8% of £3.25.

Give your answer correct to 2 decimal places.

Express 54 as a percentage of 129.

Give your answer to the nearest whole number.

Share 25·8 kg in the ratio 5: 1.

A fair, six-sided dice is rolled. What is the probability that a 4 is shown on the dice?

Circle your answer.

50 raffle tickets were sold at a charity event. Sian has a 20% chance of winning the top prize. How many tickets did Sian buy?

Circle your answer.

1 2 4 10 20

A bag contains a mixture of blue beads, yellow beads and pink beads. One bead is taken at random from the bag. The probability that the bead is pink is. Which of the following sets of beads could have been in the bag?

Circle your answer.

Calculate 39% of £576.

Give your answer correct to the nearest whole number.

How many quarters are there in 10?

Circle the fraction that is a recurring decimal.