Number worksheet — GCSE Foundation

1.Write 90 as a product of its prime factors.

2.Work out 100 − 4 × 5²

3.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

4.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

5.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?

6.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.

7.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.

8.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

9.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

10.Work out the value of 2⁻²

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

12.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

13.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

14.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

15.Work out the value of ∛8.