Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: 6/11 ___ 4/11

2.Work out the value of 2⁻⁴

3.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

4.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

5.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

6.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

7.Simplify x⁶ ÷ x²

8.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.

9.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

10.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

11.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

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

13.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

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

15.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.