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.
Number worksheet — GCSE Higher
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- 1.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 2.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 3.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
- 4.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 5.Work out the value of 2⁻⁴
- 6.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.
- 7.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.
- 8.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 9.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?
- 10.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 11.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 12.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.
- 13.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?
- 14.Work out how many factors 100 has.
- 15.Work out (−6) + (−4) × 3
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