PN.4, SEC 9, Practical Applications
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Question 1 of 36
1. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What fraction of a litre of liquid is required to completely fill this container?
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of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre needed to fill the container, consider how much of the container is already filled and how much more is needed to reach the top.
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Question 2 of 36
2. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the missing length?
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⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the missing length, add the blue section and the yellow section. Convert both lengths to improper fractions, then make the denominators the same before adding.
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Question 3 of 36
3. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What fraction of a mile would you have to drive from the services to Foxbury?
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miles.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a mile you would have to drive from the services to Foxbury, consider the distances given on the sign for each destination.
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Question 4 of 36
4. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the missing length?
-
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total length, add the lengths of the blue section and the yellow section. Convert both lengths to improper fractions, then make the denominators the same before adding.
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Question 5 of 36
5. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
How many miles would be covered if you drive to Seacrest, and then drive from Seacrest to the beach?
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miles
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance covered if you drive to Seacrest and then to the beach, you need to first convert both distances to improper fractions. Then make the denominators the same, subtract to find the difference, and add this difference to the distance to Seacrest.
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Question 6 of 36
6. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
A mechanic has two cans of oil.
One is 3 litres and the other is 2 litres.
How much oil is there in total?
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Litres⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total amount of oil, add the amounts in both cans. Convert the mixed numbers to improper fractions, then make the denominators the same before adding.
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Question 7 of 36
7. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
How much further is Linscombe Bay than Smugglers Caves?
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miles.⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance from Linscombe Bay to Smugglers Caves, you need to subtract the distance to Smugglers Caves from the distance to Linscombe Bay. Convert both distances to improper fractions, then make the denominators the same before subtracting.
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Question 8 of 36
8. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
An accountant notices that of the company’s budget is allocated to salaries, and is used for utilities.
What fraction of the budget remains for other expenses?
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⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of the budget that remains for other expenses, subtract the fractions used for salaries and utilities from the whole budget (1). Convert the fractions to have the same denominator before subtracting.
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Question 9 of 36
9. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the distance in-between the Hotel and the Tourist information?
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miles⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance from the Hotel to the Tourist information, you need to subtract the distance to the Tourist information from the distance to the Hotel. Convert both distances to improper fractions, then make the denominators the same before subtracting.
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Question 10 of 36
10. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
A physicist combines liters of Solution A with liters of Solution B.
How much more of Solution A is used than Solution B?
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Litres⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find out how much more of Solution A is used than Solution B, subtract the amount of Solution B from the amount of Solution A. Convert the mixed numbers to improper fractions, then make the denominators the same before subtracting.
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Question 11 of 36
11. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
Would distance would you cover, of you drove from the campsite to the zoo?
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miles
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance covered if you drive from the campsite to the zoo, you need to add the distance to the zoo to the distance to the campsite. Convert both distances to improper fractions first, then add them, and convert the result back to a mixed number.
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Question 12 of 36
12. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
An engineer has two containers of coolant liquid.
One contains 4 litres and the other contains 1 litres.
The engineer needs to know the total amount of coolant for a cooling system calibration.
How much liquid is there in total?
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Litres⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total amount of coolant, add the amounts in both containers. Convert the mixed numbers to improper fractions, then make the denominators the same before adding.
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Question 13 of 36
13. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
How much further is the zoo than the model village?
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miles⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find out how much further the zoo is than the model village, you need to subtract the distance to the model village from the distance to the zoo. Convert both distances to improper fractions first, then make the denominators the same before subtracting.
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Question 14 of 36
14. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
A tax officer observes that of a company’s budget is allocated to corporation tax, and is used for maintenance.
What fraction of the budget remains for other expenses?
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⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of the budget that remains for other expenses, subtract the fractions used for corporation tax and maintenance from the whole budget (1). Convert the fractions to have the same denominator before subtracting.
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Question 15 of 36
15. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
All the liquid from containers A and B is transferred to container C. What fraction of a litre is now in container C?
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of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre now in container C, think about adding the fractions of liquid from both containers A and B. How would you add these two fractions together to get the total amount of liquid?
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Question 16 of 36
16. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the distance between Barnes and Mackstone?
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miles⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the distance between Barnes and Mackstone, you need to subtract the distance to Mackstone from the distance to Barnes. Convert the distance to Mackstone to an improper fraction, then perform the subtraction.
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Question 17 of 36
17. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
A physicist measures meters of wire for Experiment X and meters of wire for Experiment Y.
How much more wire is used in Experiment X than in Experiment Y?
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meters⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find out how much more wire is used in Experiment X than in Experiment Y, subtract the amount used in Experiment Y from the amount used in Experiment X. Convert the mixed numbers to improper fractions, then make the denominators the same before subtracting.
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Question 18 of 36
18. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
All the liquid from containers A and B is transferred to container C. What fraction of a litre is now in container C?
-
of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre now in container C, think about adding the fractions of liquid from both containers A and B. How would you add these two fractions together to get the total amount of liquid?
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Question 19 of 36
19. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What distance would be travelled if you drove to Ford, and then drove to Dinton?
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miles
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance traveled if you drive to Ford and then to Dinton, you need to find the difference between the distances and then add it to the distance to Ford. Convert the distances to fractions if necessary, then perform the subtraction and addition.
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Question 20 of 36
20. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
An engineer measures meters of cable for Project A and meters of cable for Project B.
How much more cable is used in Project A than in Project B?
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meters⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find out how much more cable is used in Project A than in Project B, subtract the amount of cable used in Project B from the amount used in Project A. Convert the mixed numbers to improper fractions, then make the denominators the same before subtracting.
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Question 21 of 36
21. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
All the liquid from containers A and B is transferred to container C.
What fraction of a litre is now in container C?
-
of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre now in container C, think about adding the fractions of liquid from both containers A and B. How would you add these two fractions together to get the total amount of liquid?
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Question 22 of 36
22. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the distance in-between St Ives and Fenstanton?
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miles
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance from St Ives to Fenstanton, you need to add the distances from St Ives and Fenstanton. Convert both distances to improper fractions, then make the denominators the same before adding.
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Question 23 of 36
23. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
A construction worker is mixing sand, cement, and aggregate in a mixer.
The mixture is cement and sand.
What fraction of the mixture will be aggregate?
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Aggregate.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of the mixture that will be aggregate, subtract the fractions for cement and sand from the whole mixture (1). Convert the fractions to have the same denominator before subtracting.
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Question 24 of 36
24. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
All the liquid from containers A and B is transferred to container C.
What fraction of a litre is now in container C?
-
of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre now in container C, think about adding the fractions of liquid from both containers A and B. How would you add these two fractions together to get the total amount of liquid?
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Question 25 of 36
25. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the distance in-between Whitchurch and Hilton?
-
miles⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance between Whitchurch and Hilton, you need to add the distances to Whitchurch and Hilton. Convert both distances to improper fractions, then make the denominators the same before adding.
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Question 26 of 36
26. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
A pharmacist is preparing a medicinal mixture.
The mixture contains antibiotic and pain reliever.
What fraction of the mixture will be other components?
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⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of the mixture that will be other components, subtract the fractions of antibiotic and pain reliever from the whole mixture (1). Convert the fractions to have the same denominator before subtracting.
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Question 27 of 36
27. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
Liquid from container A is used to completely fill container B.
What fraction of a litre is now left in container A?
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of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre now left in container A, consider how much liquid is needed to fill container B completely. Container B is initially filled to of a litre, so we need to determine how much more liquid is needed from container A.
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Question 28 of 36
28. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the distance in-between Brambleton and Heathfield?
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miles⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance between Brambleton and Heathfield, you need to add the distances from Brambleton and Heathfield. Convert both distances to improper fractions, then make the denominators the same before adding.
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Question 29 of 36
29. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
Liquid from container A is used to fill completely fill container B.
The remaining liquid in container A is then poured into container C.
What fraction of a litre is now in container C?
-
of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre now in container C, consider the initial amount of liquid in container A and how much is transferred to container B to fill it completely. Then, find the remaining liquid that is poured into container C.
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Question 30 of 36
30. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the distance in-between Chearsley and Cuddington?
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miles⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the total distance from Chearsley to Cuddington, you need to subtract the distance to Cuddington from the distance to Chearsley. Convert both distances to improper fractions if necessary, then make the denominators the same before subtracting.
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Question 31 of 36
31. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
Liquid from container A is used to fill completely fill container B.
The remaining liquid in container A is then poured into container C.
What fraction of a litre is now in container C?
-
of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre now in container C, consider the initial amount of liquid in container A and how much is transferred to container B to fill it completely. Then, find the remaining liquid that is poured into container C.
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Question 32 of 36
32. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the missing length?
-
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the missing length, subtract the shorter length from the longer length. Convert both lengths to improper fractions, then make the denominators the same before subtracting.
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Question 33 of 36
33. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What fraction of a litre of liquid is required to completely fill this container?
-
of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre needed to fill the container, consider how much of the container is already filled and how much more is needed to reach the top.
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Question 34 of 36
34. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the missing length?
-
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the missing length, subtract the shorter length from the longer length. Convert both lengths to improper fractions, then make the denominators the same before subtracting.
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Question 35 of 36
35. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What fraction of a litre of liquid is required to completely fill this container?
-
of a Litre.⌨️ Enter your answer in its simplest form in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the fraction of a litre needed to fill the container, consider how much of the container is already filled and how much more is needed to reach the top.
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Question 36 of 36
36. Question
Topic: Practical Applications
Please have a pen and paper ready. 📝
👀 Have a look at the diagram below:
What is the missing length?
-
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
🤔 Hint: To find the missing length, subtract the shorter length from the longer length. Convert both lengths to improper fractions, then make the denominators the same before subtracting.
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