Number worksheet — GCSE Foundation

1.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.

2.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

3.Work out the value of ∛8.

4.Work out the highest common factor of 15 and 25.

5.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

6.Write 0.35 as a fraction in its lowest terms.

7.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

8.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

9.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

10.Write down the symbol that makes this statement true: 0.45 ___ 0.5

11.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.

12.Work out 2/5 + 1/4, giving your answer in its simplest form.

13.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

14.Write 45,000 in standard form.

15.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.