AQA
AQA All About Maths
Print this page

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

Specification References: N2.6

N2.6 Interpret fractions, decimals, percentages as operators


Candidates should be able to:

  • interpret a fraction, decimal or percentage as a multiplier when solving problems
  • use fractions, decimals or percentages to compare proportions of shapes that are shaded
  • use fractions, decimals or percentages to compare 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. 

Questions may be linked to the assessment of scale factor.

Examples

  1. The shaded area is double the area of the circle.

         a.  What fraction of the shape is shaded?

         b.  The area of the rectangle is 106 cm².

         Work out the radius of the circle.


view more examples

  1. The following diagram shows three squares:

        What fraction of the larger square is shaded?

  1. The length of the small cuboid is 18 cm.
    The length of the large cuboid is 30% greater than the length of the small cuboid.

        a. The width of the small cuboid is 12 cm.

            Work out the width of the large cuboid.

        b. The height of the large cuboid is 10 cm

            Work out the height of the small cuboid.

 

              (Higher tier only – linked to G1.8h)