Number worksheet — GCSE Foundation

1.Work out the value of 6² − 4³.

2.Work out the value of √49 + ∛27

3.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

4.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

5.Work out (−2)³ + (−3)² − (−4)

6.Work out the highest common factor of 20 and 32.

7.Work out √25 + 4² − 12 ÷ 3

8.Work out (−2)² − 3

9.Work out 3 × (−2)² − 5

10.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

11.Which of these numbers is a common factor of 18 and 24?

12.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

13.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

14.Work out the lowest common multiple of 4 and 6.

15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.