Number worksheet — GCSE Foundation

1.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

2.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

3.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

4.Work out the value of 6² − 4³.

5.Work out 2 × (−3 + 7)

6.Work out (−3) × 4 + 2 × (−5)

7.Work out √144 − 2 × 3 + √25

8.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

9.Write down the decimal that is equal to 3/5.

10.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

11.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

12.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

13.Work out √144

14.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

15.Last year a company made a profit of £5,200,000. Write this amount in standard form.