Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Non-calculator
Number worksheet — GCSE Higher
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- 1.A country has an area of 25,000,000 hectares. Write this area in standard form.
- 2.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 3.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 4.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.
- 5.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 6.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.
- 7.Write 90 as a product of its prime factors.
- 8.Work out the value of 2⁻²
- 9.Given that 2⁵ = 32, work out 2⁶.
- 10.Work out √3 × √12, giving your answer as an integer.
- 11.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.
- 12.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 13.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.
- 14.Work out −(−3)⁴ + (−3)³
- 15.Work out how many factors 100 has.
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