Number worksheet — GCSE Foundation

1.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

2.3.4 × 10⁵ is written as an ordinary number. Work out this number.

3.Which of these numbers is the largest: −9, −7, −4, −2?

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

5.Work out 36 ÷ (2 × 3)

6.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

7.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

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

9.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

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

11.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

12.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.

13.Which of these numbers lies between −4 and −1 on a number line?

14.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

15.Work out (−6) + (−4) × 3