Number worksheet — GCSE Foundation

1.Work out the lowest common multiple of 4 and 6.

2.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

3.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

4.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

5.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

6.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

7.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

8.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

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

10.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.

11.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

12.Which of these numbers lies between −8 and −5 on a number line?

13.Work out ∛(−27) + ∛8

14.Work out −6 × (−3).

15.Round 592.5 to the nearest 10.