Number worksheet — GCSE Foundation

1.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

2.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

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

4.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

5.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

6.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

7.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.

8.Round 0.006852 to 2 significant figures.

9.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

10.Write the fraction 47/50 as a decimal.

11.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

12.Work out (−2)² − 3

13.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.

14.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

15.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.