Number worksheet — GCSE Foundation

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

2.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

3.Write down the value of 3⁰

4.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

5.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

6.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

7.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

8.Which of these numbers lies between −4 and −1 on a number line?

9.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

10.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

11.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

12.Work out (5 + 2) × 3²

13.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

14.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

15.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.