Practise
Papers
Your area
Past papers
Get ready
Learn and practise
One table
Year 4 check
Spelling lists
More English
Home / Practice / Maths
Sharing in a given ratio and scaling a recipe up or down.
Question 1 of 12
Freya and Harry share 42 conkers in the ratio 2:5. How many does the one with the larger share get?
A ratio of 2:5 means the conkers are split into 2 + 5 = 7 equal parts. 42 ÷ 7 = 6, so one part is 6 conkers. The larger share is 5 parts: 6 × 5 = 30. Checking the two shares add back to the total — 30 + 12 = 42 — is worth the few seconds. Always check the shares add back up to what you started with.
The answer is C. A ratio of 2:5 means the conkers are split into 2 + 5 = 7 equal parts. 42 ÷ 7 = 6, so one part is 6 conkers. The larger share is 5 parts: 6 × 5 = 30. Checking the two shares add back to the total — 30 + 12 = 42 — is worth the few seconds. Always check the shares add back up to what you started with.
Eilidh and Alfie share 40 conkers in the ratio 2:3. How many does the one with the larger share get?
A ratio of 2:3 means the conkers are split into 2 + 3 = 5 equal parts. 40 ÷ 5 = 8, so one part is 8 conkers. The larger share is 3 parts: 8 × 3 = 24. Checking the two shares add back to the total — 24 + 16 = 40 — is worth the few seconds. Dividing by 2 only works when the ratio is 1:1. Read the ratio before assuming.
The answer is C. A ratio of 2:3 means the conkers are split into 2 + 3 = 5 equal parts. 40 ÷ 5 = 8, so one part is 8 conkers. The larger share is 3 parts: 8 × 3 = 24. Checking the two shares add back to the total — 24 + 16 = 40 — is worth the few seconds. Dividing by 2 only works when the ratio is 1:1. Read the ratio before assuming.
A recipe for 4 people uses 175 g of porridge oats. How much porridge oats is needed for 12 people?
Find the amount for one person first: 175 g ÷ 4 = 43.75 g each. For 12 people that is 43.75 g × 12 = 525 g. The answer has to be larger than 175 g, because more people are being fed. Sense-check the direction: more people, more flour.
The answer is A. Find the amount for one person first: 175 g ÷ 4 = 43.75 g each. For 12 people that is 43.75 g × 12 = 525 g. The answer has to be larger than 175 g, because more people are being fed. Sense-check the direction: more people, more flour.
Tomasz and Rosie share 45 conkers in the ratio 5:4. How many does the one with the larger share get?
A ratio of 5:4 means the conkers are split into 5 + 4 = 9 equal parts. 45 ÷ 9 = 5, so one part is 5 conkers. The larger share is 5 parts: 5 × 5 = 25. Checking the two shares add back to the total — 25 + 20 = 45 — is worth the few seconds. Always check the shares add back up to what you started with.
The answer is A. A ratio of 5:4 means the conkers are split into 5 + 4 = 9 equal parts. 45 ÷ 9 = 5, so one part is 5 conkers. The larger share is 5 parts: 5 × 5 = 25. Checking the two shares add back to the total — 25 + 20 = 45 — is worth the few seconds. Always check the shares add back up to what you started with.
A recipe for 8 people uses 350 g of flour. How much flour is needed for 16 people?
Find the amount for one person first: 350 g ÷ 8 = 43.75 g each. For 16 people that is 43.75 g × 16 = 700 g. The answer has to be larger than 350 g, because more people are being fed. If the number of people doubles, so does every ingredient. Spotting that saves the long method.
The answer is A. Find the amount for one person first: 350 g ÷ 8 = 43.75 g each. For 16 people that is 43.75 g × 16 = 700 g. The answer has to be larger than 350 g, because more people are being fed. If the number of people doubles, so does every ingredient. Spotting that saves the long method.
Alfie and Zainab share 98 conkers in the ratio 4:3. How many does the one with the larger share get?
A ratio of 4:3 means the conkers are split into 4 + 3 = 7 equal parts. 98 ÷ 7 = 14, so one part is 14 conkers. The larger share is 4 parts: 14 × 4 = 56. Checking the two shares add back to the total — 56 + 42 = 98 — is worth the few seconds. Always check the shares add back up to what you started with.
The answer is C. A ratio of 4:3 means the conkers are split into 4 + 3 = 7 equal parts. 98 ÷ 7 = 14, so one part is 14 conkers. The larger share is 4 parts: 14 × 4 = 56. Checking the two shares add back to the total — 56 + 42 = 98 — is worth the few seconds. Always check the shares add back up to what you started with.
Eilidh and Harry share 64 conkers in the ratio 5:3. How many does the one with the larger share get?
A ratio of 5:3 means the conkers are split into 5 + 3 = 8 equal parts. 64 ÷ 8 = 8, so one part is 8 conkers. The larger share is 5 parts: 8 × 5 = 40. Checking the two shares add back to the total — 40 + 24 = 64 — is worth the few seconds. Add the numbers in the ratio first. That total is how many parts the amount splits into, and it is the step people skip.
The answer is A. A ratio of 5:3 means the conkers are split into 5 + 3 = 8 equal parts. 64 ÷ 8 = 8, so one part is 8 conkers. The larger share is 5 parts: 8 × 5 = 40. Checking the two shares add back to the total — 40 + 24 = 64 — is worth the few seconds. Add the numbers in the ratio first. That total is how many parts the amount splits into, and it is the step people skip.
A recipe for 6 people uses 200 g of caster sugar. How much caster sugar is needed for 18 people?
Find the amount for one person first: 200 g ÷ 6 = 33.333 g each. For 18 people that is 33.333 g × 18 = 600 g. The answer has to be larger than 200 g, because more people are being fed. Work out the amount for one, then scale up. It works whatever the numbers are, even when they do not divide neatly.
The answer is A. Find the amount for one person first: 200 g ÷ 6 = 33.333 g each. For 18 people that is 33.333 g × 18 = 600 g. The answer has to be larger than 200 g, because more people are being fed. Work out the amount for one, then scale up. It works whatever the numbers are, even when they do not divide neatly.
A recipe for 4 people uses 75 g of grated cheese. How much grated cheese is needed for 8 people?
Find the amount for one person first: 75 g ÷ 4 = 18.75 g each. For 8 people that is 18.75 g × 8 = 150 g. The answer has to be larger than 75 g, because more people are being fed. Work out the amount for one, then scale up. It works whatever the numbers are, even when they do not divide neatly.
The answer is A. Find the amount for one person first: 75 g ÷ 4 = 18.75 g each. For 8 people that is 18.75 g × 8 = 150 g. The answer has to be larger than 75 g, because more people are being fed. Work out the amount for one, then scale up. It works whatever the numbers are, even when they do not divide neatly.
Ivy and Isla share 168 conkers in the ratio 4:3. How many does the one with the larger share get?
A ratio of 4:3 means the conkers are split into 4 + 3 = 7 equal parts. 168 ÷ 7 = 24, so one part is 24 conkers. The larger share is 4 parts: 24 × 4 = 96. Checking the two shares add back to the total — 96 + 72 = 168 — is worth the few seconds. Dividing by 2 only works when the ratio is 1:1. Read the ratio before assuming.
The answer is C. A ratio of 4:3 means the conkers are split into 4 + 3 = 7 equal parts. 168 ÷ 7 = 24, so one part is 24 conkers. The larger share is 4 parts: 24 × 4 = 96. Checking the two shares add back to the total — 96 + 72 = 168 — is worth the few seconds. Dividing by 2 only works when the ratio is 1:1. Read the ratio before assuming.
A recipe for 8 people uses 100 g of porridge oats. How much porridge oats is needed for 16 people?
Find the amount for one person first: 100 g ÷ 8 = 12.5 g each. For 16 people that is 12.5 g × 16 = 200 g. The answer has to be larger than 100 g, because more people are being fed. Work out the amount for one, then scale up. It works whatever the numbers are, even when they do not divide neatly.
The answer is B. Find the amount for one person first: 100 g ÷ 8 = 12.5 g each. For 16 people that is 12.5 g × 16 = 200 g. The answer has to be larger than 100 g, because more people are being fed. Work out the amount for one, then scale up. It works whatever the numbers are, even when they do not divide neatly.
A recipe for 4 people uses 200 g of grated cheese. How much grated cheese is needed for 8 people?
Find the amount for one person first: 200 g ÷ 4 = 50 g each. For 8 people that is 50 g × 8 = 400 g. The answer has to be larger than 200 g, because more people are being fed. Work out the amount for one, then scale up. It works whatever the numbers are, even when they do not divide neatly.
The answer is B. Find the amount for one person first: 200 g ÷ 4 = 50 g each. For 8 people that is 50 g × 8 = 400 g. The answer has to be larger than 200 g, because more people are being fed. Work out the amount for one, then scale up. It works whatever the numbers are, even when they do not divide neatly.
Keep a record of how this went? It stays in this browser only and is never sent to us. You can clear it any time.
Saved to your record on this device. See the record
Try another set Pick a different topic
More ratio and algebra first, then the rest of maths.
Every maths topic · A timed maths mock paper
For grown-ups: message us
A question, an idea, or something that isn't working? We read every message.
Please don't include a child's name or school.
Saved and sent to our inbox. Privacy
Thank you
Your message has reached us.