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

Specification References: N3.1

N3.1 Use ratio notation, including reduction to simplest form and various links to fraction notation.


Candidates should be able to:

  • use ratios in the context of geometrical problems, for example similar shapes, scale drawings and problem solving involving scales and measures
  • understand that a line divided in the ratio 1 : 3 means that the smaller part is one-quarter of the whole

Examples

  1. A line is divided in the ratio 3 : 5
    What fraction is the smaller part of the whole line.

view more examples

  1. A sector of a circle has angle 30° at the centre.

    Write the area of the sector to the area of the remainder of the circle as a ratio in  

    its simplest form.
  1. The width of the cuboid shown is 3 cm.
    Cuts are made as shown on the cuboid to make four smaller cuboids.

Write the volume of the smallest cuboid to the volume of the largest cuboid as a ratio in its simplest form.