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.Estimate the value of √45, giving your answer to the nearest whole number.
- 2.Write 12 as a product of its prime factors.
- 3.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 4.Write down the exact decimal value of the fraction 1/6.
- 5.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.
- 6.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 7.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 8.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
- 9.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 10.Work out 3 × (−2)² − 5
- 11.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
- 12.Simplify (3a²)² × (2a)³
- 13.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 14.Work out the exact value of √(2² + 3²)
- 15.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
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