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
MathsUKwww.geekhero.co.uk
- 1.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.
- 2.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 3.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.
- 4.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.
- 5.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 6.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 7.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 8.Work out 6² − 4².
- 9.Work out the value of (√5)⁴
- 10.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.
- 11.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 12.Work out 3.7 × 24.
- 13.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 14.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.
- 15.Work out (−6) + (−4) × 3
Build your own mix at the worksheet builder.