Number worksheet — GCSE Higher

1.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

2.Work out −4.5 + 2.8.

3.Write ∛(x²) as a single power of x.

4.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

5.Write down the symbol that makes this statement true: −2/3 ___ −5/6

6.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

7.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.

8.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.

9.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

10.Round 592.5 to the nearest 10.

11.Which of these statements about −0.7 and −0.25 is true?

12.Work out ∛(−27) + ∛8

13.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.

14.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.

15.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%