Number worksheet — GCSE Foundation

1.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

2.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

3.Work out the lowest common multiple of 9 and 15.

4.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

5.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

6.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

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

8.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

9.Write down the value of 3⁰

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

11.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.

12.Round 592.5 to the nearest 10.

13.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

14.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

15.Write 200 as a product of its prime factors, using index notation.