PR.1C, SEC 2, shring w/ diff (50)
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Question 1 of 41
1. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Silver 🥈 and gold 🥇 are alloyed in the ratio 4 : 7.
The mass of gold is 39 g more than the mass of silver. What mass of each metal is used?
-
Silver:
gGold:g⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 2 of 41
2. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Team Red 🔴 and Team Blue 🔵 prize funds are in the ratio 9 : 8.
Team Red’s fund is £25 more than Team Blue’s fund. How much does each team receive?
-
Team Red:
£Team Blue:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 3 of 41
3. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Bill and Ben share some money in the ratio 2 : 3.
Ben receives £50 more than Bill. How much does each person receive?
-
Bill:
£Ben:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 4 of 41
4. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
A student spends time reading 📖 and watching TV 📺 in the ratio 3 : 2.
Reading time exceeds TV time by 8 hours in a week. How many hours are spent on each activity?
-
Reading:
hTV:h⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 5 of 41
5. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Branch East 🏢 and Branch West 🏢 share profits in the ratio 6 : 11.
Branch West earns £35 more than Branch East. How much profit does each branch receive?
-
East:
£West:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 6 of 41
6. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Milk 🥛 and water 💧 are mixed in the ratio 3 : 5.
The volume of water is 40 L greater than the volume of milk. What volume of each liquid is used?
-
Milk:
LWater:L⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 7 of 41
7. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Brown eggs 🥚 and white eggs 🥚 are packed in the ratio 11 : 9.
There are 30 more brown eggs than white eggs. How many eggs of each colour are packed?
-
Brown:White:
⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 8 of 41
8. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Development 💻 and QA 🧪 bonuses are in the ratio 5 : 6.
QA bonuses are £22 more than Development bonuses. How much does each team receive?
-
Development:
£QA:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 9 of 41
9. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Copper 🏅 and zinc ⚙️ are combined in a ratio 7 : 3.
The mass of copper exceeds the mass of zinc by 20 kg. How much of each metal is used?
-
Copper:
kgZinc:kg⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 10 of 41
10. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Petrol ⛽ and diesel 🛢️ are stored in the ratio 5 : 6.
Diesel volume is 22 L more than petrol volume. What volume of each fuel is stored?
-
Petrol:
LDiesel:L⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 11 of 41
11. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Wallet 💼 and purse 👛 savings are in the ratio 7 : 2.
The wallet contains £75 more than the purse. How much money is in each?
-
Wallet:
£Purse:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 12 of 41
12. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
A student spends time on homework 📚 and gaming 🎮 in the ratio 5 : 2.
Over one week, homework time is 9 hours more than gaming time. How many hours are spent on each?
-
Homework:
hGaming:h⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 13 of 41
13. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Running 🏃♂️ and walking 🚶♀️ time are in the ratio 2 : 7.
Walking time is 15 hours more than running time in a month. How many hours are spent on each?
-
Running:
hWalking:h⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 14 of 41
14. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Campaign A 📈 and Campaign B 📊 funding is in the ratio 12 : 5.
Campaign A receives £49 more than Campaign B. How much funding does each campaign receive?
-
Campaign A:
£Campaign B:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 15 of 41
15. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Red paint 🟥 and blue paint 🟦 are mixed in the ratio 4 : 7.
The volume of blue paint is 45 L more than the volume of red paint. What volume of each colour is used?
-
Red:
LBlue:L⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 16 of 41
16. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Ingredient A 🧂 and Ingredient B 🧂 are mixed in the ratio 13 : 2.
Ingredient A is 88 g more than Ingredient B. What mass of each ingredient is used?
-
Ingredient A:
gIngredient B:g⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 17 of 41
17. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Scholarship A 🎓 and Scholarship B 🎓 funds are in the ratio 11 : 13.
Scholarship B exceeds Scholarship A by £22. How much is in each scholarship fund?
-
Scholarship A:
£Scholarship B:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 18 of 41
18. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Two sections of rope 🪢 are cut in the ratio 9 : 13.
The longer section is 8 m longer than the shorter section. What is the length of each section?
-
Shorter:
mLonger:m⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 19 of 41
19. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Green paint 💚 and yellow paint 💛 are in the ratio 7 : 12.
Yellow paint is 25 L more than green paint. What volume of each paint is used?
-
Green:
LYellow:L⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 20 of 41
20. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Parents 👫 and teachers 👩🏫 raise money in the ratio 6 : 5.
Parents raise £55 more than teachers. How much does each group raise?
-
Parents:
£Teachers:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 21 of 41
21. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Alice and Bob share some money 💷 in the ratio 5 : 8.
Bob receives £45 more than Alice. How much money does each receive?
-
Alice:
£Bob:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 22 of 41
22. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Apples 🍎 and pears 🍐 are packed in the ratio 6 : 1.
There are 55 more apples than pears. How many of each fruit are packed?
-
Apples:Pears:
⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 23 of 41
23. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Garden maintenance 🌳 and equipment 🔧 funds are in the ratio 3 : 8.
The equipment fund is £125 more than the maintenance fund. How much is allocated to each?
-
Maintenance:
£Equipment:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 24 of 41
24. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Plain flour 🌾 and self-raising flour 🧁 are mixed in the ratio 11 : 14.
The mass of self-raising flour is 15 kg more than the mass of plain flour. What mass of each flour is used?
-
Plain:
kgSelf-raising:kg⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 25 of 41
25. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Coffee ☕ and milk 🥛 are combined in the ratio 3 : 8.
Milk volume exceeds coffee volume by 35 mL. What volume of each is used?
-
Coffee:
mLMilk:mL⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 26 of 41
26. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Staff 🍽️ and student 🎒 lunch budgets are in the ratio 4 : 11.
The student budget is £21 more than the staff budget. How much does each group receive?
-
Staff:
£Students:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 27 of 41
27. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Fuel A ⛽ and Fuel B 🔋 are stored in the ratio 6 : 1.
Fuel A is 25 L more than Fuel B. What volume of each fuel is stored?
-
Fuel A:
LFuel B:L⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 28 of 41
28. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
A4 📄 and A5 📄 sheets are supplied in the ratio 8 : 5.
There are 27 more A4 sheets than A5 sheets. How many sheets of each size are supplied?
-
A4:A5:
⌨️ Enter your answers in the fields provided.
CorrectIncorrect -
-
Question 29 of 41
29. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Senior 🏆 and junior 🏅 prize funds are in the ratio 13 : 7.
The senior prize fund is £60 more than the junior prize fund. How much does each fund contain?
-
Senior:
£Junior:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 30 of 41
30. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
A student spends weekday and weekend screen-time 📱 in the ratio 2 : 5.
Weekend screen-time is 9 hours more than weekday screen-time. How many hours are spent on each?
-
Weekday:
hWeekend:h⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 31 of 41
31. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Rice sacks 🍚 are shared between Store A and Store B in the ratio 4 : 3.
Store A has 14 kg more rice than Store B. How much rice does each store receive?
-
Store A:
kgStore B:kg⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 32 of 41
32. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Cara and Dan share some money 💷 in the ratio 9 : 8.
Cara receives £11 more than Dan. How much does each person receive?
-
Cara:
£Dan:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 33 of 41
33. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Apple juice 🍏 and cranberry juice 🍒 are mixed in the ratio 9 : 2.
The apple juice volume is 35 L greater than the cranberry juice volume. What volume of each juice is used?
-
Apple:
LCranberry:L⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 34 of 41
34. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Apple juice 🍏 and orange juice 🍊 are mixed in the ratio 7 : 4.
The orange juice is 45 mL less than the apple juice. What volume of each juice is used?
-
Apple:
mLOrange:mL⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 35 of 41
35. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Study time 📖 and leisure time 🎮 are in the ratio 5 : 7.
Leisure time is 24 minutes longer than study time. How many minutes are spent on each?
-
Study:
minLeisure:min⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 36 of 41
36. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Flour 🌾 and sugar 🍬 are combined in the ratio 5 : 2.
The flour weighs 450 g more than the sugar. What mass of each is used?
-
Flour:
gSugar:g⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 37 of 41
37. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Herbs 🌿 A and B are blended in the ratio 11 : 13.
Herb B weighs 22 g more than Herb A. What mass of each herb is used?
-
Herb A:
gHerb B:g⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-
-
Question 38 of 41
38. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
A hike includes uphill ⛰️ and downhill ⬇️ sections in the ratio 3 : 5.
The downhill section is 40 km longer than the uphill section. What is the length of each section?
-
Uphill:
kmDownhill:km⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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-
Question 39 of 41
39. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
A car 🚗 and a motorbike 🏍️ travel distances in the ratio 6 : 1.
The car travels 25 miles farther than the motorbike. How many miles does each vehicle travel?
-
Car:
miMotorbike:mi⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 40 of 41
40. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Water 💧 and cordial 🧃 are mixed in the ratio 12 : 1.
The water volume is 33 L greater than the cordial volume. What volume of each is used?
-
Water:
LCordial:L⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
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Question 41 of 41
41. Question
Topic: Sharing into Ratios.
Please have pen and paper handy to show workings out. 📝
Project Alpha 🅰️ and Project Beta 🅱️ share funds in the ratio 4 : 7.
Project Beta has £45 more than Project Alpha. How much does each project receive?
-
Alpha:
£Beta:£⌨️ Enter your answers in the fields provided.
CorrectIncorrectHint
Hint example: splitting money in the ratio 3 : 5 when the second share is £40 larger.
Write the ratio.
3 : 5
Draw a bar model so each box shows one part.
🟦🟦🟦🟩🟩🟩🟩🟩
The difference in parts is two boxes.
Set those two boxes equal to the £40 difference.
One box = = £20.
First share: 3 × £20 = £60.
Second share: 5 × £20 = £100.
Remember: the difference in quantities always matches the difference in parts, so use that to find one box first.
-