Ratio Problem Solving Practice Questions

Write the number of blue beads as a fraction of the total number of beads.
Give your fraction in its simplest form.

What fraction of the beads are not blue?

What fraction of the choir are adults?

What percentage of the choir are children?

Write the number of pupils in Class B as a fraction of the number of pupils in Class A.
Give your fraction in its simplest form.

Write the number of pupils in Class A as a fraction of the number of pupils in Class B.
Give your fraction in its simplest form.

Write down the ratio of the number of red counters to the number of blue counters to the number of green counters.
Give your ratio in its simplest form.

There are 45 counters in the box.

Work out the number of blue counters in the box.

Kiera and Leon share some money in the ratio $7 : 3$

Kiera gets £60 more than Leon.

Work out the total amount of money they share.

Work out the mass of cement she uses.

Work out the total mass of concrete she makes.

Work out the number of white chocolates in the box.

6 of the milk chocolates are eaten.

Write down the new ratio of the number of milk chocolates to the number of white chocolates.
Give your ratio in its simplest form.

960 people go to a concert.

the number of adults : the number of children $= 5 : 3$

40% of the adults are men.

Work out the number of men at the concert.

Write down the ratio $b : f$
Give your ratio in its simplest form.

Sanjay uses 600 g of flour.

Work out the mass of butter he needs.

The length and the width of a rectangle are in the ratio $7 : 4$

The perimeter of the rectangle is 66 cm.

Work out the area of the rectangle.

Nadia makes 3 litres of orange squash.

Work out how much concentrate she uses.
Give your answer in millilitres.

Ollie uses 250 ml of concentrate.

Work out how much water he must mix with it.

$ABCD$ is a straight line.

$AB : BC = 1 : 3$

$BC : CD = 2 : 5$

$AB = 4$ cm.

Work out the length of $AD$.

A jar contains only red sweets and green sweets.

the number of red sweets : the number of green sweets $= 5 : 2$

10 more green sweets are put into the jar.

The ratio of the number of red sweets to the number of green sweets is now $5 : 3$

Work out the number of red sweets in the jar.

Green paint is made by mixing blue paint and yellow paint in the ratio

blue : yellow $= 3 : 5$

Ben has 12 litres of blue paint and 18 litres of yellow paint.

Ben says,

"I can make 30 litres of green paint."

Is Ben correct?
You must show how you get your answer.