Number worksheet — GCSE Foundation

1.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

2.Write down the value of 3⁰

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

4.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.

5.Work out 5 + 3 × (9 − 6)

6.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

7.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.

8.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

9.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

10.Work out the lowest common multiple of 9 and 15.

11.Work out 0.6 × 0.04.

12.Round 4,685 to the nearest 100.

13.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

14.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

15.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.