Number worksheet — GCSE Foundation

1.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

2.Work out (−3) × 4 + 2 × (−5)

3.Work out ∛64.

4.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

5.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

6.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

7.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

8.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.

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

11.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

12.Work out (5 + 2) × 3²

13.Work out (−2)³ + (−3)² − (−4)

14.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.