Number worksheet — GCSE Foundation

1.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

2.Work out 3 × (−2)² − 5

3.Work out the value of √49 + ∛27

4.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

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.

6.3.4 × 10⁵ is written as an ordinary number. Work out this number.

7.Write down the symbol that makes this statement true: −9 ___ −4

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

9.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

10.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

11.Work out 36 ÷ (2 × 3)

12.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

13.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

14.Which of these statements about −0.7 and −0.25 is true?

15.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.