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.Simplify ⁴√(16a⁸b¹²)
- 2.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 3.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 4.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.
- 5.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 6.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
- 7.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 8.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
- 9.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?
- 10.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 11.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
- 12.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 13.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 14.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.
- 15.Work out 5⁰ + 5¹ + 5²
Build your own mix at the worksheet builder.