Number worksheet — GCSE Foundation

1.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.

2.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

3.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

4.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

5.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

6.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

7.Write 0.0038 in standard form.

8.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.

9.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

10.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

11.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.

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

13.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

14.Round 4,685 to the nearest 100.

15.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09