Number worksheet — GCSE Foundation

1.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

2.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

3.Work out 1/2 of 1/4 of 80.

4.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

5.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

6.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

7.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

8.Work out 5⁰ + 5¹ + 5²

9.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

10.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

11.Write 5,000,000 in standard form.

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

13.Write 90 as a product of its prime factors.

14.Round 3.947 to 2 decimal places.

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.