Fractions · Ages 11–12

Ratios and fractions worksheet

Part of: Ratio and rate

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Fractions · Ages 11–12

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

1.The bar model shows the numbers of 🦆 and 🌸, every box the same. What fraction of the total is 🦆?
Answer in simplest form
Answer:
2.The ratio of red beads to blue beads is 1 : 6. What fraction of all the beads are blue?
Answer in simplest form
Answer:
3.The ratio of red beads to blue beads is 3 : 5. What fraction of all the beads are blue?
Answer in simplest form
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4.The bar model shows the numbers of 🐱 and 🐵, every box the same. What fraction of the total is 🐱?
Answer in simplest form
Answer:
5.The ratio of Ka-lok's stickers to May's is 4 : 9. What fraction of May's number is Ka-lok's?
Answer in simplest form
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6.A and B make up the whole, and A is 211 of it. The ratio of A to B is : .
Fill in each blank
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7.A and B make up the whole, and A is 78 of it. The ratio of A to B is : .
Fill in each blank
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8.The ratio of Tsz-hin's stickers to Ka-lok's is 4 : 5. What fraction of Ka-lok's number is Tsz-hin's?
Answer in simplest form
Answer:

9.The ratio of boys to girls is 3 : 5. Which sentence is true?
- A. Boys are 38 of everyone
- B. Girls are 38 of everyone
- C. Boys are 35 of everyone
- D. There are 35 as many girls as boys
Choose the right answer
Answer:
10.The ratio of boys to girls is 3 : 4. Which sentence is true?
- A. Boys are 37 of everyone
- B. Girls are 37 of everyone
- C. There are 34 as many girls as boys
- D. Boys are 34 of everyone
Choose the right answer
Answer:
11.In a bag of sweets, 15 are orange and the rest are lemon. The ratio of orange sweets to lemon sweets is 1 : 5.
True or false?
Answer:
12.In a bag of sweets, 34 are orange and the rest are lemon. The ratio of orange sweets to lemon sweets is 3 : 4.
True or false?
Answer:

13.In a box of chocolates, 411 are nut and the rest are milk. The ratio of nut chocolates to milk chocolates is : .
Fill in each blank
Working:
Answer:
14.On a shelf, the ratio of storybooks to picture guides is 5 : 8. What fraction of all the books on the shelf are storybooks?
Answer in simplest form
Working:
Answer:
15.Ka-yan's pocket money is 56 of May's. The ratio of Ka-yan's pocket money to May's is : .
Fill in each blank
Working:
Answer:
16.A rope 63 cm long is cut into two pieces, the short one 16 of the long one. How long is the short piece, in cm?
Working:
Answer:
17.Tsz-hin's pocket money is 19 of Tsz-ching's. The ratio of Tsz-hin's pocket money to Tsz-ching's is : .
Fill in each blank
Working:
Answer:
18.On a shelf, the ratio of storybooks to picture guides is 9 : 2. What fraction of all the books on the shelf are storybooks?
Answer in simplest form
Working:
Answer:

Show the answers and working

Ratios and fractions worksheet: Answers and working

1. 27
Count the 🦆 boxes and all the boxes. The denominator is the total number of boxes.
🦆 takes 2 of the 2 + 5 = 7 boxes: 27.
2. 67
For a fraction of the whole, the denominator is all the parts: 1 + 6.
1 + 6 = 7 parts in all, and blue is 6 of them: 67.
3. 58
For a fraction of the whole, the denominator is all the parts: 3 + 5.
3 + 5 = 8 parts in all, and blue is 5 of them: 58.
4. 67
Count the 🐱 boxes and all the boxes. The denominator is the total number of boxes.
🐱 takes 6 of the 6 + 1 = 7 boxes: 67.
5. 49
Compared with May, the denominator is May's parts and the numerator Ka-lok's.
Compared with May, the denominator is May's 9 parts: Ka-lok has 49 of May's number.
6. 2, 9
Think of the whole as as many parts as the denominator; A has as many as the numerator. How many does B have?
Think of the whole as 11 parts: A is 2, B is 11 − 2 = 9, so A : B = 2 : 9.
7. 7, 1
Think of the whole as as many parts as the denominator; A has as many as the numerator. How many does B have?
Think of the whole as 8 parts: A is 7, B is 8 − 7 = 1, so A : B = 7 : 1.
8. 45
Compared with Ka-lok, the denominator is Ka-lok's parts and the numerator Tsz-hin's.
Compared with Ka-lok, the denominator is Ka-lok's 5 parts: Tsz-hin has 45 of Ka-lok's number.

9. A. Boys are 38 of everyone
Everyone is 3 + 5 parts. A fraction of everyone needs all the parts as the denominator.
Everyone is 3 + 5 = 8 parts; boys are 3 of them: 38.
10. A. Boys are 37 of everyone
Everyone is 3 + 4 parts. A fraction of everyone needs all the parts as the denominator.
Everyone is 3 + 4 = 7 parts; boys are 3 of them: 37.
11. False
Think of the bag as 5 parts, 1 of them orange. How many are lemon? Then compare with 5.
All the sweets are 5 parts: orange 1 and lemon 5 − 1 = 4, so 1 : 4.
12. False
Think of the bag as 4 parts, 3 of them orange. How many are lemon? Then compare with 4.
All the sweets are 4 parts: orange 3 and lemon 4 − 3 = 1, so 3 : 1.

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

13. 4, 7
Think of the box as as many parts as the denominator; nut has as many as the numerator. How many are milk?
The box is 11 parts: nut 4, milk 11 − 4 = 7.
14. 513
For a fraction of all the books, the denominator is all the parts: 5 + 8.
5 + 8 parts in all, storybooks 5: 513.
15. 5, 6
Think of May's money as as many parts as the denominator; Ka-yan then has as many as the numerator.
Think of May's money as 6 parts: Ka-yan has 5 of them, 5 : 6.
16. 9 cm
Short : long = 1 : 6. The rope is 1 + 6 parts, so find one part first.
Short : long = 1 : 6, so the rope is 1 + 6 parts of 9 cm; the short piece: 1 × 9 = 9 cm.
17. 1, 9
Think of Tsz-ching's money as as many parts as the denominator; Tsz-hin then has as many as the numerator.
Think of Tsz-ching's money as 9 parts: Tsz-hin has 1 of them, 1 : 9.
18. 911
For a fraction of all the books, the denominator is all the parts: 9 + 2.
9 + 2 parts in all, storybooks 9: 911.

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