Number worksheet — GCSE Foundation

1.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

2.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

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

4.Round 0.0759 to 2 decimal places.

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

6.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.

7.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

8.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

9.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

10.Write 0.06 as a fraction in its simplest form.

11.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

12.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

13.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

14.Round 592.5 to the nearest 10.

15.Write the fraction 3/4 as a decimal.