Number worksheet — GCSE Higher

1.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

2.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

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

4.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

5.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

6.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

7.Estimate the value of √45, giving your answer to the nearest whole number.

8.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

9.Work out the value of 2⁻⁴

10.Work out 5/6 × 2/9, giving your answer in its simplest form.

11.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

12.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

13.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

14.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

15.Work out how many factors 36 has.