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
MathsUKwww.geekhero.co.uk
- 1.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
- 2.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 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.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 5.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.
- 6.Work out √3 × √12, giving your answer as an integer.
- 7.Round 0.006852 to 2 significant figures.
- 8.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 9.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 10.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 11.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.
- 12.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.
- 13.Which one of these statements is true?
- 14.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 15.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.
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