Number worksheet — GCSE Foundation

1.Round 6.283 to 1 significant figure.

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.Simplify x⁷ × x⁴, giving your answer as a single power of x.

4.Work out √25 + 4² − 12 ÷ 3

5.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

6.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

7.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

8.Write down the reciprocal of 0.2

9.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

10.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.

11.Write 0.0038 in standard form.

12.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

13.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

14.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

15.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.