Number worksheet — GCSE Foundation

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

2.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

3.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

4.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

5.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.

6.Which statement about the number 91 is correct?

7.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

8.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

9.Write down the symbol that makes this statement true: 3/10 ___ 0.3

10.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

11.Work out 6² − 4².

12.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.

13.Write 45,000 in standard form.

14.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

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