Cambridge IGCSE · Mathematics

Ratios, rates and proportions

21 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 21 questions

Two numbers are in the ratio $5 : 6$ and their sum is $33$ . What is the first number in the ratio?
Two numbers are in the ratio $5 : 6$ and their sum is $88$ . What is the second number in the ratio?
Two numbers are in the ratio $4 : 5$ and their sum is $72$ . What is the second number in the ratio?
Two numbers are in the ratio $4 : 5$ and their sum is $81$ . What is the first number in the ratio?
Two numbers are in the ratio $3 : 7$ and their sum is $90$ . What is the second number in the ratio?
A car travels at a constant speed of $60$ miles per hour. How many miles does it travel in $2$ hours?
A car travels at a constant speed of $40$ miles per hour. How many miles does it travel in $2$ hours?
A car travels at a constant speed of $50$ miles per hour. How many miles does it travel in $4$ hours?
A car travels at a constant speed of $50$ miles per hour. How many miles does it travel in $3$ hours?
Two numbers are in the ratio $4 : 5$ and their sum is $27$ . What is the second number in the ratio?
Two numbers are in the ratio $4 : 6$ and their sum is $30$ . What is the first number in the ratio?
Two numbers are in the ratio $3 : 7$ and their sum is $50$ . What is the second number in the ratio?
Two numbers are in the ratio $2 : 4$ and their sum is $36$ . What is the second number in the ratio?
Two numbers are in the ratio $2 : 4$ and their sum is $42$ . What is the first number in the ratio?
Two numbers are in the ratio $5 : 6$ and their sum is $99$ . What is the first number in the ratio?
A car travels at a constant speed of $72$ miles per hour. How many miles does it travel in $3$ hours?
A car travels at a constant speed of $40$ miles per hour. How many miles does it travel in $3$ hours?
$A : B = 3 : 5$ and $B : C = 4 : 7$ . The three amounts total $1005$ . What is the difference between $C$ and $A$ ?
Two numbers are in the ratio $3 : 4$ and their sum is $21$ . What is the first number in the ratio?
A car travels at a constant speed of $45$ miles per hour. How many miles does it travel in $5$ hours?
A car travels at a constant speed of $45$ miles per hour. How many miles does it travel in $3$ hours?

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