Number worksheet — GCSE Foundation

1.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

2.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

3.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.

4.Work out the value of 5³.

5.Work out (−2)³ + (−3)² − (−4)

6.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?

7.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

8.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

9.Write down the symbol that makes this statement true: 6/11 ___ 4/11

10.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

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

12.Work out (−2)² − 3

13.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

14.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

15.Work out the value of ∛125.