CAIE IGCSE Mathematics Core C1.11 Ratio and Proportion Questions

Practise ratio and proportion by simplifying amounts, sharing totals and working backwards from a known share or difference.

Exam points

simplify two- or three-part ratios after matching the order of the quantities
divide a total by the sum of ratio parts before calculating each required share
use a known share or difference between shares to find the multiplier and total

Covered syllabus points

C1.11.1 Understand and use ratio and proportion to: • give ratios in their

[Maximum number: 4]

A shop sells 58 televisions in one week.
The bar chart shows the number of televisions that the shop sells on five of the days.

Figure for Question 1 — CAIE IGCSE Mathematics Core

The number of televisions that the shop sells on the other two days is in the ratio

Wednesday: Friday =2: 3.

Complete the bar chart.

Completely correct bar chart
B3 for a bar height 8 drawn for Wednesday or a bar height 12 drawn for Friday
or M2 for $\frac{58-3-4-4-16-11}{2+3}\times k$ , k=1,2, or 3
or M1 for 58-3-4-4-16-11 oe

[Maximum number: 3]

Elize, Lily and Marco start a business.

Elize invests $\$ 5000$ .

Lily invests $\$ 8000$ .
Marco invests \$3000.

After one year they make a profit of $\$ 40000$ .
They share this profit in the ratio of their investments.
Work out how much they each receive.

Elize $

Lily $
Marco $

12500, 20000, 7500
B2 for 12500 or 7500 in correct place
or M1 for $\frac{40000}{5+8+3}\times k$ , where k=1,5,8,3

[Maximum number: 2]

Leo owns some toy vehicles.

He owns 57 cars, 12 bicycles and 42 trucks.
Find the ratio of the number of cars : bicycles : trucks in its simplest form. : :

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Covered syllabus points

Question 1

Question 2

Question 3