Number worksheet — GCSE Foundation

1.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

2.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

3.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

4.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

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

6.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.

7.Write down a prime number between 30 and 40.

8.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.

9.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

10.Write 0.25 as a fraction in its simplest form.

11.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

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

13.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

14.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

15.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.