Let’s solve each question one by one, step by step.
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1. The equivalent ratio of 2:7 is ______
Equivalent ratios are made by multiplying or dividing both parts by the same number.
Check options:
a. 7:2 → reversed, not equivalent
b. 6:14 → divide both by 2 → 3:7 → not 2:7
c. 4:14 → divide both by 2 → 2:7
✔ YES!
d. 20:35 → divide both by 5 → 4:7 → not 2:7
So, correct answer is
c. 4:14
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2. The simplest form of the ratio of 12:6 is ______
Simplest form means divide both numbers by their greatest common factor.
GCF of 12 and 6 is 6.
12 ÷ 6 = 2
6 ÷ 6 = 1
→ So, 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 to same unit. Let’s use cm.
2 m = 200 cm
So, ratio = 200 : 25
Divide both by 25:
200 ÷ 25 = 8
25 ÷ 25 = 1
→ 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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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 ______
Same units, so 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
Q gets 2 parts.
Value of 1 part = 50 ÷ 5 = Rs.10
Q’s share = 2 × 10 = Rs.20
Answer:
20
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9. The two quantities in a ratio should be of the ______ unit.
Ratios compare things — they must be in the same unit to make sense.
Example: You can’t compare meters to seconds directly unless you’re doing speed (which is different).
Answer:
same
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10. If a: b :: c:d, then ad = ______
In proportions, product of extremes = product of means.
a : b :: c : d → a/b = c/d → cross multiply → ad = bc
Answer:
bc
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Final Answer:
1. c
2. d
3. b
4. c
5. a
6. 3
7. 5:8
8. 20
9. same
10. bc
Parent Tip: Review the logic above to help your child master the concept of ratio and percentage worksheet.
