Fractions / decimals / percentages
Portion of an amount
Increasing / decreasing an amount by a %
Simple and compound interest
Reverse percentages
100

Write ½ as a decimal and a percentage.

0.5, 50%

100

Find 10% of 80.

8

100

Increase £40 by 10%.

£44

100

£400 is invested at 3% simple interest per year for 2 years. Find the amount of interest after 2 years.

£24

100

A T-shirt costs £36 after a 10% discount. What was its original price?

£40

200

Write 0.7 as a fraction in its simplest form and as a percentage.

7/10, 70%

200

Find ¾ of £60.

£45

200

Decrease 120 by 25%.

£90

200

£500 is invested at 4% simple interest per year for 3 years. Find the total amount in the account after 3 years.

£560

200

A number increases by 20% to become 72. Find the original number.

60

300

Write 45% as a decimal and a fraction in its simplest form.

0.45, 9/20

300

Find 0.35 of 200.

70

300

A coat costs £80. Its price increases by 15%. Find the new price.

£92

300

£300 is invested at 10% compound interest per year. Find the total amount after 6 years.

£531.47

300

A coat costs £60 after a 25% discount. What was its original price?

£80

400

Write 7/20 as a decimal and a percentage.

0.35, 35%
400

A pie chart shows the favourite after-school activities of 120 pupils.

The section of the pie chart for football takes up 75 ° of the whole circle.

How many pupils chose football?

25

400

A bicycle costs £250. Its price is reduced by 18%. Find the sale price.

£205

400

A car bought for £15000 depreciates at 5% per year. Calculate the value of the car after 5 years.  

£11606.71

400

A website reviews all the restaurants in a town from 1 star (terrible) to 5 stars (excellent).  The results are put on a pie chart with one segment of the pie being for each star rating i.e. 1 star, 2 stars, 3 stars, 4 stars and 5 stars.  

The segment for 4 stars is 108° and 9 restaurants received a 4 star rating.

Calculate the total number of restaurants in the town.  


30

500

Write 0.375 as a fraction in its simplest form and as a percentage.

3/8, 37.5%

500

A school has 240 pupils. ⅜ of them travel to school by bus.

Of those who travel by bus, 20% are in Year 11.

How many Year 11 pupils travel by bus?

18 pupils

500

A new games console is valued at £160. When it is first released its price is increased by 15% due to popular demand.

After a year a different console is released so the price of this console is decreased by 20% to encourage kids to continue buying it.

Find the final price of the console.

£147.20

500

The population of an endangered species of tiger is currently 234 and is predicted to decrease at a rate of 18% per year. Riley thinks there will be fewer than 100 tigers left in 5 years’ time. Assuming the predicted decrease will happen, is she correct?

234×(0.82)⁵=87 tigers, to the nearest whole number

 

This is less than 100, therefore Riley is correct.

500

Nicole invested some money for 3 years into an account that pays 2% simple interest.  She earned £7.20 simple interest in total.

How much money did Nicole originally invest?  

£120

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