Numeracy · Guided Practice

Ratio and Proportion

10 questions with answers and video solutions. Try each one before revealing the answer.

1
Simplify the ratio 18:24\displaystyle 18:24
Video solution coming soon
2
Share £450\displaystyle \pounds 450 in the ratio 4:5\displaystyle 4:5
Video solution coming soon
3
6\displaystyle 6 pens cost £4.20\displaystyle \pounds 4.20.
Calculate the cost of 10\displaystyle 10 pens.
Video solution coming soon
4
A recipe for 4\displaystyle 4 people uses 300\displaystyle 300 g of rice.
Calculate the mass of rice needed for 7\displaystyle 7 people.
Video solution coming soon
5
Concrete is mixed with cement, sand and gravel in the ratio 1:3:5\displaystyle 1:3:5.
A batch uses 45\displaystyle 45 kg of gravel.
Calculate the total mass of the batch.
Video solution coming soon
6
It takes 3\displaystyle 3 pumps 8\displaystyle 8 hours to empty a tank.
Calculate how long it would take 4\displaystyle 4 pumps working at the same rate.
Video solution coming soon
7
2018 P2 Q6
2 Marks

Ali, Kate and Jim are paid to deliver leaflets advertising a new restaurant.
They shared the money they were paid in a ratio of 3:5:7.
Jim received £154.

Calculate how much the restaurant paid, in total, to deliver the leaflets.

8
2019 P1 Q11
3 Marks

Mary gave some money to four of her nieces.
It was shared in proportion to their ages.

NameAge
Jane4
Heather11
Laura9
Kate6

Kate's share is £1950.

Calculate the total amount Mary gifted her nieces.

9
2023 P1 Q4
3 Marks

Geoffrey shared his savings between his three children, Sophie, Ed and Lucy.

The money was shared in the ratio 7:2:6.

Sophie received £3304.

Calculate how much money Geoffrey gave his three children in total.

10
2025 P1 Q9
2 Marks

A farm has 3 different types of animal.
It has sheep, pigs and cows in the ratio 9:7:4 respectively. There are 180 more sheep than there are cows.
Calculate the total number of animals on the farm.