Here is the complete solution for the "UNIT TEST: RATIO AND PROPORTION" for Class 6.
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I. CHOOSE THE BEST ANSWER (5 Marks)
1. The equivalent ratio of 2:7 is ________
- To find an equivalent ratio, multiply or divide both terms by the same number.
- Let's check the options:
- a. 7:2 → This is the inverse, not equivalent.
- b. 6:14 → Divide both by 2 → 3:7 → Not equal to 2:7.
- c.
4:14 → Divide both by 2 →
2:7 ✔
- d. 20:35 → Divide both by 5 → 4:7 → Not 2:7.
✔ Correct Answer: c. 4:14
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2. The simplest form of the ratio of 12:6 is ________
- Simplify by dividing both numbers by their GCF (Greatest Common Factor), which is 6.
- 12 ÷ 6 = 2; 6 ÷ 6 = 1 → So, 2:1.
✔ Correct 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.
✔ Correct Answer: b. 3:4
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4. The simplest form of the ratio of 2m to 25 cm is ________
- First, convert to same unit: 2 meters = 200 cm.
- So, ratio = 200 cm : 25 cm = 200:25.
- Simplify by dividing both by 25 → 8:1.
✔ Correct 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 per doll = 45 ÷ 3 = Rs. 15.
- Cost of 5 dolls = 5 × 15 = Rs. 75.
✔ Correct 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
- Cross-multiply: 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, just write as 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 parts.
- 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 comparison, both quantities must be in the
same unit.
✔ Answer: same
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10. If a : b :: c : d, then ad = ____
- In proportion, product of extremes = product of means.
- So, a : b :: c : d → a × d = b × c.
✔ Answer: bc
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✔ Final Answers Summary:
I. Multiple Choice:
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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Let me know if you need explanations for any step!
Parent Tip: Review the logic above to help your child master the concept of ratio and proportions worksheet.
