Percentages and ratio · Ages 12–13

A part as a percentage of the whole worksheet

Part of: Percentages (I)

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Percentages and ratio · Ages 12–13

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.12 of 50 people wear glasses. Those wearing glasses are % of them all
Answer:
2.60% of a number is 126. The number =
Answer:
3.A club has 1000 members. 20% of them went on a trip, and 75% of those on the trip were women. went on the trip, of them women.
Fill in each blank
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4.30% of a number is 120. The number =
Answer:
5.360 g of sugar water holds 90 g of sugar. After 240 g of water is added, its concentration is %
Answer:
6.Women make up 60% of a dance troupe, and there are 40 more women than men. How many people are in the troupe?
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7.310 g of sugar water holds 50 g of sugar. After 190 g of water is added, its concentration is %
Answer:
8.Women make up 55% of a dance troupe, and there are 18 more women than men. How many people are in the troupe?
Answer:

9.4 of 40 cards are red. The red cards are 10% of them all.
True or false?
Answer:
10.What is 25% of 80?
- A. 100
- B. 60
- C. 200
- D. 20
Choose the right answer
Answer:
11.What is 60% of 240?
- A. 144
- B. 1440
- C. 384
- D. 96
Choose the right answer
Answer:
12.Take 30% of a number, then 50% of that. What percentage of the number is it?
- A. 1500%
- B. 15%
- C. 150%
- D. 80%
Choose the right answer
Answer:

13.A choir has 30 members, 80% of them women. How many men are there?
Working:
Answer:
14.100 mL of a juice drink is 25% juice. How many mL of pure juice must be added to make it 75% juice?
Working:
Answer:
15.Tsz-hin has saved $320, just 80% of a new bike's price. What is the bike's price, in dollars?
Working:
Answer:
16.An estate has 800 households, 60% of them with a pet; of those with a pet, 60% keep a dog. households have a pet, keep a dog, and those with a dog are % of the estate.
Fill in each blank
Working:
Answer:
17.300 g of sugar water at 40% has x g of water added, making it 5%. Find x: put the steps in order.
- A. (300 + x) × 5% = 120
- B. 300 + x = 2400
- C. sugar = 300 × 40% = 120
- D. x = 2100
Write the letters in the right order
Working:
Answer:
18.An estate has 1200 households, 25% of them with a pet; of those with a pet, 40% keep a dog. households have a pet, keep a dog, and those with a dog are % of the estate.
Fill in each blank
Working:
Answer:

Show the answers and working

A part as a percentage of the whole worksheet: Answers and working

1. 24
Part ÷ whole × 100%: 12 ÷ 50 × 100% = 24%.
2. 210
number × 60% = 126, so the number = 126 ÷ 60% = 210. Or find 1% first: 126 ÷ 60 = 2.1, then times 100.
3. 200, 150
A step at a time, each on its own base: 1000 × 20% = 200, and 200 × 75% = 150.
4. 400
number × 30% = 120, so the number = 120 ÷ 30% = 400. Or find 1% first: 120 ÷ 30 = 4, then times 100.
5. 15
The sugar is still 90 g, and the sugar water is now 360 + 240 = 600 g: 90 ÷ 600 × 100% = 15%.
6. 200
Men are 100% − 60% = 40%, so the 40 are 60% − 40% = 20% of the troupe: it has 40 ÷ 20% = 200 people.
7. 10
The sugar is still 50 g, and the sugar water is now 310 + 190 = 500 g: 50 ÷ 500 × 100% = 10%.
8. 180
Men are 100% − 55% = 45%, so the 18 are 55% − 45% = 10% of the troupe: it has 18 ÷ 10% = 180 people.

9. True
4 ÷ 40 × 100% = 10%. It is the cards that aren't red that make 100% − 10%.
10. D. 20
80 × 25% = 80 × 25100 = 20.
11. A. 144
240 × 60% = 240 × 60100 = 144.
12. B. 15%
Let the number be 100: 30% of it is 30, and 50% of that is 30 × 50% = 15, so 15% of the number.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 6
Men are 100% − 80% = 20%: 30 × 20% = 6. Or find the women first and take them from 30.
14. 200 mL
The drink holds 100 × 25% = 25 mL of juice. Add x mL: 25 + x = (100 + x) × 75%, so x = 200. Check: (25 + 200) ÷ 300 = 75%.
15. 400
price × 80% = 320, so the price = 320 ÷ 80% = 400. Not 80% of 320: the base is the price.
16. 480, 288, 36
800 × 60% = 480, 480 × 60% = 288; 288 ÷ 800 × 100% = 36%, which is 60% × 60%.
17. C → A → B → D
Adding water leaves the sugar as it was: find the sugar first, then the equation new sugar water × 5% = sugar.
18. 300, 120, 10
1200 × 25% = 300, 300 × 40% = 120; 120 ÷ 1200 × 100% = 10%, which is 25% × 40%.

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