Number worksheet — GCSE Foundation

1.Work out how many factors 100 has.

2.Work out 100 − 4 × 5²

3.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

4.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

5.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

6.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.

7.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

8.Write down the symbol that makes this statement true: 6/11 ___ 4/11

9.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

10.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

11.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

12.Find the missing number: 17 × ▢ = 391

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

14.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

15.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.