# Lesson Worksheet: Ratio and Proportion Eleven Plus

In this worksheet, we will practice solving problems by finding equivalent proportions.

Q1:

A music app pays artists 32 pence for every 100 times their songs are streamed.

How much do they pay an artist for 250 streams of a song?

• A70 pence
• B48 pence
• C80 pence
• D64 pence
• E90 pence

Q2:

Myla’s cat eats 3 kg of dry cat food in 15 days.

There are 4.5 kg of dry cat food in 3 packs.

How many dry cat food packs are needed to feed the cat for 30 days?

• A3
• B1
• C2
• D5
• E4

Q3:

Sometimes, Vic works in his aunt’s shop on the weekend. He’s paid a fixed amount for each hour he works.

He earned £45.50 by working 5 hours on the first weekend and £27.30 in 3 hours on the second weekend.

How much will he earn by working 11 hours?

• A£81.90
• B£136.50
• C£72.80
• D£100.10

Q4:

In 3 weeks, she swims 24 km.

What distance does Maya swim in 5 weeks?

• A8 km
• B120 km
• C72 km
• D50 km
• E40 km

Q5:

Alan makes a toy model of his house, using the scale of 1 cm to 0.3 m.

If the front of the toy house is 30 cm long, how long is the front of the actual house?

• A30 m
• B10 m
• C9 m
• D3 m
• E6 m

Q6:

Alan swims 775 m in one training session.

What distance does he swim in 14 training sessions?

• A10‎ ‎850 m
• B17‎ ‎075 m
• C10‎ ‎750 m
• D9‎ ‎850 m

Q7:

Amin reads that a degreasing solution can be made by adding one cup of soda crystals to 0.5 L of water.

He wants to prepare a degreasing solution with 1.5 L of water.

How many cups of soda crystals does he need?

• A0.5
• B2
• C
• D3
• E1.5

Q8:

This is a graph that converts cups of milk to grams.

Use the graph to work out the number of grams of milk in 10 cups.

• A4‎ ‎200 g
• B1‎ ‎200 g
• C1‎ ‎800 g
• D2‎ ‎400 g
• E240 g

Q9:

6 identical pens cost £8.10.

How much do 4 pens cost?

• A£5.50
• B£5.55
• C£5.40
• D£5.35
• E£5.45

Q10:

Shaun’s cat weighs 4 kg.

He bought a 1.8 kg pack of dry cat food.

It is written on the pack to give the cat 50 g of food every day for each kilogram that it weighs.

For how many days should the pack of cat food last?

• A8
• B12
• C36
• D9
• E18