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.Work out √225 ÷ 3.
- 2.Simplify (x⁻²)³, giving your answer as a fraction.
- 3.Estimate the value of √45, giving your answer to the nearest whole number.
- 4.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 5.Round 0.006482 to 2 significant figures.
- 6.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
- 7.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.
- 8.Simplify √45.
- 9.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 10.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 11.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 12.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 13.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.
- 14.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
- 15.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
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