Number worksheet — GCSE Foundation

1.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

2.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

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

4.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

5.Work out (3 × 5)²

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

7.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

8.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

9.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

10.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

11.Work out 5⁰ + 5¹ + 5²

12.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

13.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

14.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

15.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.