Number worksheet — GCSE Higher

1.Round 592.5 to the nearest 10.

2.Write down the exact decimal value of the fraction 1/6.

3.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

4.Simplify (5² × 2³)³ ÷ (5³ × 2²)²

5.Work out −(−3)⁴ + (−3)³

6.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.

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

8.Work out (−36) ÷ (−6) × 2

9.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

10.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

11.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

12.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

13.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.

14.Work out (5 + 2) × 3²

15.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.