Number worksheet — GCSE Foundation

1.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

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

3.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

4.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

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

6.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

7.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.

8.Work out (5 + 2) × 3²

9.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

10.Work out ∛64.

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

12.Work out the value of √49 + ∛27

13.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

14.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.

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