Number worksheet — GCSE Foundation

1.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

2.Work out 3 × (−2)² − 5

3.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

4.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

5.Work out √(4 × 9)

6.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

7.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

8.Write down a prime number between 30 and 40.

9.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

10.Work out (3 × 5)²

11.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

12.Work out 3³ + 2⁴.

13.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

14.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

15.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.