Number worksheet — GCSE Foundation

1.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

2.Work out √144 − 2 × 3 + √25

3.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

4.Work out 3³ + 2⁴.

5.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

6.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

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

8.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

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

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

11.Work out 3π − π, giving your answer as a multiple of π.

12.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

13.Work out √25 + 4² − 12 ÷ 3

14.Work out how many factors 100 has.

15.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.