Number worksheet — GCSE Foundation

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

2.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

3.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.

4.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

5.Work out 3 + 4 × (−2).

6.Write 45,000 in standard form.

7.Work out 8% of £250.

8.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

9.Which of these decimals lies between 1/4 and 2/5?

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

11.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

12.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

13.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

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

15.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.