Number worksheet — GCSE Foundation

1.Write the fraction 47/50 as a decimal.

2.Write 45,000 in standard form.

3.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

4.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

5.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

6.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

7.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

8.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

9.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

10.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.

11.Work out (−2)³ + (−3)² − (−4)

12.A country has an area of 25,000,000 hectares. Write this area in standard form.

13.Round 592.5 to the nearest 10.

14.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

15.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.