Number worksheet — GCSE Foundation

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

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

3.Write down the decimal that is equal to 3/5.

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

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

6.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

7.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

8.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

9.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?

10.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

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

12.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

13.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

14.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

15.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.