Number worksheet — GCSE Foundation

1.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.

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

3.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

4.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

5.Work out −6 × (−3).

6.Find the missing number: 17 × ▢ = 391

7.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

8.Work out the value of ∛125.

9.Work out (−6) + (−4) × 3

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.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

12.Write 0.36 as a fraction in its simplest form.

13.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

14.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

15.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.