Number worksheet — GCSE Foundation

1.Write 45,000 in standard form.

2.Work out 3 + 4 × 2²

3.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.

4.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

5.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.

6.Work out the reciprocal of (2 + 3)

7.Which one of these statements is true?

8.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

9.Round 3.947 to 2 decimal places.

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

11.Work out 15% of £40, using 10% and 5%.

12.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

13.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

14.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

15.Write 0.00072 in standard form.