AQA
AQA All About Maths
Print this page

Topic: Number, Fractions, Decimals, Percentage, Ratio and Proportion (Higher - Unit 3)

Specification References: N2.7

N2.7 Calculate with fractions, decimals and percentages.


Candidates should be able to:

  • calculate a fraction of a quantity
  • calculate a percentage of a quantity
  • use decimals to find quantities
  • use fractions, decimals or percentages to calculate proportions of shapes that are shaded
  • use fractions, decimals or percentages to calculate lengths, areas or volumes

Notes

This is part of the core number work required across all units. The core number work will be assessed so that it is linked to other specification references within this unit.

Candidates will not be required to calculate reverse percentage, repeated percentage change or compound interest in this unit.

 

Reverse percentage may be assessed in the Higher tier of Unit 1 or unit 2 (where numbers used will be consistent with a non-calculator examination).

Repeated percentage change and compound interest will only be assessed in Higher tier Unit 1.

For example, a 15% increase in the value Y, is calculated as 1.15 x Y. Unit 1 only.
For example, a 15% increase in value Y, followed by a 15% decrease is calculated as 1.15 x 0.85 x Y. Higher tier Unit 1 only.

Examples

  1. A rectangle measures 3.2cm by 6.8cm
    It is cut into four equal smaller rectangles.
    Work out the area of a smaller rectangle.

view more examples

  1. An aircraft leaves Berlin when Helga’s watch reads 07.00 and lands in New York when her watch reads 14.00.
    Helga does not change her watch.
    Berlin to New York is a distance of 5747 kilometres.
    Assuming that the aircraft flies at a constant speed, how far does the aircraft fly between the hours of 09.00 and 11.00?
  2. Small cubes of edge length 1cm are put into a box.
    The box is a cuboid of length 5cm, width 4cm and height 2cm.
    How many cubes are in the box if it is over 70% full?