Number worksheet — GCSE Higher

1.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

2.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

3.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

4.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.

5.Work out the value of (1/3)⁻²

6.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

7.Write down the reciprocal of 0.2

8.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

9.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

10.Work out ⁴√81

11.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

12.Find the missing number: 17 × ▢ = 391

13.Which of these statements about −0.7 and −0.25 is true?

14.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

15.Write 7/12 as a decimal, showing clearly which digit is recurring.