Fractions · Ages 11–12

What a ratio is worksheet

Part of: Ratio and rate

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Fractions · Ages 11–12

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

1.In the picture, the ratio of 🐵 to all the things is : .
Fill in each blank
Answer:
2.In the picture, the ratio of 🥚 to 🐵 is : .
Fill in each blank
Answer:
3.In the picture, the ratio of 🍌 to all the things is : .
Fill in each blank
Answer:
4.In the picture, the ratio of 🍌 to 🚌 is : .
Fill in each blank
Answer:
5.The ratio of red beads to blue beads is 8 : 1. The ratio of red beads to all the beads is 8 : .
Answer:
6.The ratio of red beads to blue beads is 7 : 1. The ratio of red beads to all the beads is 7 : .
Answer:
7.The ratio of boys to all the children is 1 : 3. The ratio of boys to girls is 1 : .
Answer:
8.The ratio of boys to all the children is 3 : 7. The ratio of boys to girls is 3 : .
Answer:

9.A fruit basket holds 3 pears and 5 kiwis. What is the ratio of kiwis to pears?
- A. 3 : 5
- B. 5 : 8
- C. 5 : 3
- D. 3 : 8
Choose the right answer
Answer:
10.Ka-yan has 6 storybooks and 7 comics. The ratio of comics to storybooks is 7 : 13.
True or false?
Answer:
11.A fruit basket holds 7 oranges and 8 apples. What is the ratio of apples to oranges?
- A. 8 : 15
- B. 8 : 7
- C. 7 : 15
- D. 7 : 8
Choose the right answer
Answer:
12.Ka-yee has 4 storybooks and 3 comics. The ratio of comics to storybooks is 3 : 7.
True or false?
Answer:

13.Ka-yee takes 10 shots at the basket and scores 9; the rest miss. The ratio of shots scored to shots missed is : .
Fill in each blank
Working:
Answer:
14.A bus has 37 passengers: 25 are standing and the rest are sitting. The ratio of sitting passengers to all the passengers is : .
Fill in each blank
Working:
Answer:
15.A fish tank holds 2 goldfish and 3 tropical fish. The ratio of tropical fish to all the fish is : .
Fill in each blank
Working:
Answer:
16.Ka-yee's pencil case holds 12 pencils, 8 ballpoint pens and 3 colouring pens. The ratio of pencils to the other pens is : .
Fill in each blank
Working:
Answer:
17.A bus has 23 passengers: 4 are standing and the rest are sitting. The ratio of sitting passengers to all the passengers is : .
Fill in each blank
Working:
Answer:
18.Ming takes 13 shots at the basket and scores 2; the rest miss. The ratio of shots scored to shots missed is : .
Fill in each blank
Working:
Answer:

Show the answers and working

What a ratio is worksheet: Answers and working

1. 3, 8
Count the 🐵 first, then everything in the picture together.
There are 3 + 5 = 8 things in all, and 3 🐵: 3 : 8.
2. 3, 7
Count each kind first. The ratio follows the words' order, so 🥚 comes first.
There are 3 🥚 and 7 🐵; in the order the words name them, 🥚 first: 3 : 7.
3. 1, 10
Count the 🍌 first, then everything in the picture together.
There are 1 + 9 = 10 things in all, and 1 🍌: 1 : 10.
4. 7, 4
Count each kind first. The ratio follows the words' order, so 🍌 comes first.
There are 7 🍌 and 4 🚌; in the order the words name them, 🍌 first: 7 : 4.
5. 9
Red is 8 parts and blue 1. How many parts are all the beads?
Red : blue = 8 : 1, so all the beads are 8 + 1 = 9 parts: 8 : 9.
6. 8
Red is 7 parts and blue 1. How many parts are all the beads?
Red : blue = 7 : 1, so all the beads are 7 + 1 = 8 parts: 7 : 8.
7. 2
Of the 3 parts, boys take 1. How many parts are girls?
Of the 3 parts, boys are 1, so girls are 3 − 1 = 2: 1 : 2.
8. 4
Of the 7 parts, boys take 3. How many parts are girls?
Of the 7 parts, boys are 3, so girls are 7 − 3 = 4: 3 : 4.

9. C. 5 : 3
Check the order in the question: kiwis first, then pears. Which comes first in the ratio?
It asks for kiwis to pears, so the 5 kiwis come first: 5 : 3.
10. False
The ratio follows the words: comics first. How many comics are there? Then compare with 7 : 13.
Comics come first: 7 comics to 6 storybooks is 7 : 6.
11. B. 8 : 7
Check the order in the question: apples first, then oranges. Which comes first in the ratio?
It asks for apples to oranges, so the 8 apples come first: 8 : 7.
12. False
The ratio follows the words: comics first. How many comics are there? Then compare with 3 : 7.
Comics come first: 3 comics to 4 storybooks is 3 : 4.

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

13. 9, 1
Find the misses first: 10 − 9.
Misses: 10 − 9 = 1, so 9 : 1.
14. 12, 37
Find how many are sitting first, 37 − 25, then compare with all the passengers.
37 − 25 = 12 are sitting, out of all 37: 12 : 37.
15. 3, 5
Find all the fish first, 2 + 3. In the ratio, tropical fish come first.
There are 2 + 3 = 5 fish, 3 of them tropical: 3 : 5.
16. 12, 11
“The other pens” are the ballpoints and colouring pens together, so add them first.
The other pens are the ballpoints and colouring pens together: 8 + 3 = 11, so 12 : 11.
17. 19, 23
Find how many are sitting first, 23 − 4, then compare with all the passengers.
23 − 4 = 19 are sitting, out of all 23: 19 : 23.
18. 2, 11
Find the misses first: 13 − 2.
Misses: 13 − 2 = 11, so 2 : 11.

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