Number worksheet — GCSE Higher

1.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

2.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

3.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

4.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

5.Simplify x⁷ × x⁴, giving your answer as a single power of x.

6.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

7.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

8.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

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

10.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

11.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.

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

13.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

14.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

15.Work out √144 − 2 × 3 + √25