Number worksheet — GCSE Foundation

1.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.

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.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

4.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

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

6.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

7.Simplify x⁶ ÷ x²

8.Write down the symbol that makes this statement true: −9 ___ −4

9.Write 60 as a product of its prime factors, using index notation.

10.Work out 3 + 4 × 2²

11.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

12.Which of these numbers lies between −8 and −5 on a number line?

13.3.4 × 10⁵ is written as an ordinary number. Work out this number.

14.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

15.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?