Ratio and proportion worksheet for Grade 6 - Free Printable

Let's solve each question step by step and provide explanations.

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I. CHOOSE THE BEST ANSWER (5 Marks)

#### 1. The equivalent ratio of 2:7 is ________
We need to find a ratio that simplifies to 2:7.

Check each option:

- a. 7:2 → Not equivalent (it's the reverse)
- b. 6:14 → Divide both by 2 → 3:7 → Not equal to 2:7
- c. 4:14 → Divide by 2 → 2:7 ✔ Yes!
- d. 20:35 → Divide by 5 → 4:7 → Not equal

✔ Answer: c. 4:14

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#### 2. The simplest form of the ratio of 12:6 is ________
Divide both numbers by their GCD (6):

12 ÷ 6 = 2
6 ÷ 6 = 1

So, 12:6 = 2:1

✔ Answer: d. 2:1

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#### 3. The ratio of the number of sides of a triangle to the number of sides of a square is ________
- Triangle has 3 sides
- Square has 4 sides

Ratio = 3:4

✔ Answer: b. 3:4

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#### 4. The simplest form of the ratio of 2m to 25 cm is ________
First, convert units to be the same.

2 m = 200 cm

Now ratio: 200 cm : 25 cm

Simplify:
200 ÷ 25 = 8
25 ÷ 25 = 1
So, 8:1

✔ Answer: c. 8:1

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#### 5. If the cost of 3 dolls is Rs. 45, then the cost of 5 dolls is Rs. ___
Cost of 1 doll = 45 ÷ 3 = Rs. 15
Cost of 5 dolls = 15 × 5 = Rs. 75

✔ Answer: a. 75

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II. FILL IN THE BLANKS (5 Marks)

#### 6. 5:____ :: 30:18

This is a proportion:
5 : x :: 30 : 18

Using cross multiplication:
5 × 18 = 30 × x
90 = 30x
x = 90 ÷ 30 = 3

✔ Answer: 3

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#### 7. Ratio of 5 minutes to 8 minutes is ______

Since units are same (minutes), ratio is simply:

5:8

✔ Answer: 5:8

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#### 8. If Rs. 50 is divided among P and Q in the ratio 3:2, then Q’s share is Rs. ____

Total parts = 3 + 2 = 5
Each part = 50 ÷ 5 = Rs. 10
Q’s share = 2 parts = 2 × 10 = Rs. 20

✔ Answer: 20

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#### 9. The two quantities in a ratio should be of the _____ unit.

For a meaningful ratio, both quantities must be in the same unit.

✔ Answer: same

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#### 10. If a : b :: c : d, then ad = ______

This means:
a/b = c/d

Cross-multiplying:
a × d = b × c

So, ad = bc

✔ Answer: bc

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✔ Final Answers Summary:

I. Choose the best answer:
1. c. 4:14
2. d. 2:1
3. b. 3:4
4. c. 8:1
5. a. 75

II. Fill in the blanks:
6. 3
7. 5:8
8. 20
9. same
10. bc

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