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.
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Number worksheet — GCSE Higher
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- 1.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
- 2.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 3.Write 0.325 as a fraction in its simplest form.
- 4.Work out 5⁰ + 5¹ + 5²
- 5.Simplify (3a²)² × (2a)³
- 6.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 7.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
- 8.Work out the value of (√5)⁴
- 9.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 10.Round 0.006852 to 2 significant figures.
- 11.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 12.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 13.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 14.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.
- 15.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
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