Number worksheet — GCSE Foundation

1.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

2.Work out 3.7 × 24.

3.Write 260,000 in standard form.

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

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

6.Work out √144 − 2 × 3 + √25

7.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

8.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

9.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.

10.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

11.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

12.Which of these numbers is the largest: −9, −7, −4, −2?

13.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.

14.Write 0.25 as a fraction in its simplest form.

15.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.