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.Write 200 as a product of its prime factors, using index notation.
- 2.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.
- 3.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
- 4.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.
- 5.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 6.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.
- 7.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
- 8.Work out the value of √49 + ∛27
- 9.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?
- 10.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.
- 11.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 12.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
- 13.Work out ∛64.
- 14.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 15.Simplify √8 + √18, giving your answer in the form k√2.
Build your own mix at the worksheet builder.