GRE · Quantitative Reasoning

Ratios and proportions

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

Practise Ratios and proportions now

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

All 10 questions

Boys and girls in a club are in the ratio $6 : 3$ . If the club has $45$ members, how many are girls?
Boys and girls in a club are in the ratio $2 : 8$ . If the club has $40$ members, how many are girls?
Boys and girls in a club are in the ratio $6 : 5$ . If the club has $99$ members, how many are girls?
Boys and girls in a club are in the ratio $3 : 5$ . If the club has $48$ members, how many are girls?
The ratio of $x$ to $y$ is $3 : 4$ . If $12$ is added to $x$ and $4$ is subtracted from $y$ , the new ratio of $x$ to $y$ is $3 : 2$ . What is the value of $x + y$ ?
A cyclist rides the first $\frac{1}{4}$ of a trip at $20$ km/h and the remaining $\frac{3}{4}$ at $30$ km/h. What is the average speed for the whole trip, in km/h?
Alloy X is $60%$ copper and $40%$ tin by mass. Alloy Y is $20%$ copper and $80%$ tin by mass. How many kilograms of X must be melted with $10$ kg of Y to obtain an alloy that is exactly half coppe…
The quantity $y$ varies directly with $x^{2}$ and inversely with $z$ . If $y = 18$ when $x = 3$ and $z = 2$ , what is $y$ when $x = 4$ and $z = 8$ ?
Five years ago, Mara was three times as old as Ben. In five years, Mara will be twice as old as Ben. How old is Mara now?
If $a : b = 2 : 3$ , $b : c = 4 : 5$ , and $c : d = 6 : 7$ , what is the ratio $a : d$ ?

Keep practising

More GRE topics

All GRE practice →

Ratios and proportions in other exams

Ready for the full GRE test?

Take a mock test GRE hub