Number worksheet — GCSE Foundation

1.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

2.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

3.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

4.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

5.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

6.Write down the symbol that makes this statement true: 0.45 ___ 0.5

7.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

8.Work out the value of ∛125.

9.Work out (−2)³ + (−3)² − (−4)

10.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

11.Work out the value of √49 + ∛27

12.Write 0.00072 in standard form.

13.Write down the decimal that is equal to 3/5.

14.Work out the value of 5³.

15.Work out 3 × (−2)² − 5