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:
Maya swims in a club.
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