Number worksheet — GCSE Foundation

1.Work out the value of √64.

2.Work out −4.5 + 2.8.

3.Work out 3π − π, giving your answer as a multiple of π.

4.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

5.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

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

7.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

8.Write down a prime number between 30 and 40.

9.Work out (−3) × 4 + 2 × (−5)

10.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

11.Work out the value of √(16 + 9)

12.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

13.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

14.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

15.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.