Let's solve each question step by step, based on the images and descriptions provided in the worksheet.
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Problem 1: Fish
Image shows:
- 1 yellow fish
- 3 blue fish
Total fish = 1 + 3 =
4
#### a) What is the ratio of yellow fish to blue fish?
We compare yellow fish to blue fish:
- Yellow : Blue = 1 : 3
✔ Answer: 1 : 3
#### b) What proportion of the fish are yellow?
Proportion = (Number of yellow fish) / (Total number of fish)
= 1 / 4
✔ Answer: 1/4
#### c) What proportion of the fish are blue?
= (Number of blue fish) / (Total number of fish)
= 3 / 4
✔ Answer: 3/4
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Problem 2: Frogs and Crickets
Image shows:
- Frogs: 4 (they have legs raised and look like frogs)
- Crickets: 3 (they have long antennae and legs like insects)
Total creatures = 4 + 3 =
7
#### a) What is the ratio of frogs to crickets?
Frogs : Crickets = 4 : 3
✔ Answer: 4 : 3
#### b) What proportion of the creatures are frogs?
= Number of frogs / Total = 4 / 7
✔ Answer: 4/7
#### c) What proportion of the creatures are crickets?
= Number of crickets / Total = 3 / 7
✔ Answer: 3/7
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Problem 3: Dolphins and Fish
Image shows:
- Dolphins: 3 (streamlined bodies with dorsal fins)
- Fish: 2 (more angular, with different tail shape)
Total sea creatures = 3 + 2 =
5
#### a) What is the ratio of dolphins to fish?
Dolphins : Fish = 3 : 2
✔ Answer: 3 : 2
#### b) What proportion of the sea creatures are dolphins?
= 3 / 5
✔ Answer: 3/5
#### c) What proportion of the sea creatures are fish?
= 2 / 5
✔ Answer: 2/5
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✔ Final Answers:
####
1)
a) 1 : 3
b) 1/4
c) 3/4
####
2)
a) 4 : 3
b) 4/7
c) 3/7
####
3)
a) 3 : 2
b) 3/5
c) 2/5
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📌 Explanation Summary:
-
Ratio compares two quantities (e.g., yellow to blue).
-
Proportion compares a part to the whole (written as a fraction).
This worksheet helps reinforce understanding of ratios and proportions using visual representations.
Parent Tip: Review the logic above to help your child master the concept of ratios and proportions worksheet 6th grade.
