Number worksheet — GCSE Higher

1.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.

2.Work out the reciprocal of (2 + 3)

3.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.

4.Work out √144 − 2 × 3 + √25

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

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

7.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

8.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

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

10.Work out (−36) ÷ (−6) × 2

11.Work out (−2)³ + (−3)² − (−4)

12.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

13.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.

14.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.

15.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.