Writing information using ratios can help us solve a variety of problems and can help us make use of a variety of mathematical methods.

We will also be using bar models, e.g. we can represent the ratio 2:3 as below:

Worked Example 1

Dasha has 5 dolls and 2 toy cars

(a) Show this information as a bar model

(b) Write down the ratio of dolls to toy cars Dasha has

(c) Write down the ratio of toy cars to dolls Dasha ha

Worked Example 2

A necklace consists of red beads and white beads, as shown below:

Are the following statements true or false:

(a.) For every 2 red beads there is 1 white bead

(b.) The ration of red beads to white beads is 1:2

Question Set 1

Question Set 1 – Answers

Worked Example 3

(a) Draw a bar model that is 5/8 blue, 1/8 green and the rest is yellow.

(b) Write down the ratio of:

(i) The blue area to the green area

(ii) The blue area to the yellow area

(iii) The green area to the total area

(iv) The yellow area to the blue area to the green area

(c) What fractio of the bar is yellow?

Question Set 2

Question Set 2 – Answers

Question Set 3

Question Set 3 – Answers