Number worksheet — GCSE Foundation

1.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

2.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

3.Which of these units would be most appropriate to use when stating the mass of a small car?

4.Round 24,681 to the nearest 1,000.

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

6.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

7.Write 0.325 as a fraction in its simplest form.

8.Work out 20 − 8 ÷ 2 + 1

9.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

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

11.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

12.Write 200 as a product of its prime factors, using index notation.

13.Work out 36 ÷ (2 × 3)

14.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.

15.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.