Class 7 Maths Ratio and Proportion Worksheet — Free Printable PDF
Download a free Class 7 Maths worksheet on Ratio and Proportion with MCQs, fill in the blanks and short answer questions. Complete answer key included. Personalized to your class, subject and chapter.
⭐ MeritMate — Class 7 Maths: Ratio and Proportion
Curriculum-Aware · meritmate.inSection A: Multiple Choice Questions
Q1. The ratio of 25 cm to 1 metre is:
a) 25:1
b) 1:4
c) 1:25
d) 4:1
Q2. If the ratio of two numbers is 3:5 and their sum is 96, the larger number is:
a) 36
b) 48
c) 60
d) 72
Q3. Which of the following ratios is equivalent to 4:6?
a) 2:4
b) 6:9
c) 8:10
d) 3:8
Q4. If 6:x = 3:9, the value of x is:
a) 2
b) 9
c) 18
d) 27
Q5. The mean proportional between 4 and 16 is:
a) 6
b) 8
c) 10
d) 12
Section B: Fill in the Blanks
Q6. The ratio of 90 cm to 1.5 m in its simplest form is ________.
Q7. If a:b = 3:4 and b:c = 8:9, then a:c = ________.
Q8. Four quantities are said to be in proportion if the product of ________ equals the product of means.
Q9. The value of x in the proportion 3:12 = x:48 is ________.
Q10. The ratio of boys to girls in a class is 7:5. If there are 35 boys, the number of girls is ________.
Section C: Short Answer Questions
Q11. Divide Rs 560 between Arjun and Meera in the ratio 3:5. How much does each person get?
Q12. Check whether 4, 12, 5, 15 are in proportion.
Q13. Find the value of x if 5:8 = 20:x.
Q14. A car travels 180 km in 3 hours. At the same speed, how far will it travel in 5 hours?
Q15. Express the ratio 75:125 in its simplest form.
⭐ Answer Key
Class 7 · Maths · Ratio and ProportionAnswer Key
Q1. b) 1:4
Explanation: 25 cm to 100 cm = 25:100 = 1:4
Q2. c) 60
Explanation: Total parts = 8. Larger share = (5/8) x 96 = 60
Q3. b) 6:9
Explanation: 6:9 simplifies to 2:3 which equals 4:6 simplified
Q4. c) 18
Explanation: 6 x 9 = 3 x x, so 54 = 3x, x = 18
Q5. b) 8
Explanation: Mean proportional = square root of (4 x 16) = square root of 64 = 8
Q6. 3:5
Explanation: 90 cm : 150 cm = 90:150 = 3:5
Q7. 2:3
Explanation: a:b = 3:4, b:c = 8:9. Multiply: a:c = 24:36 = 2:3
Q8. extremes
Explanation: Product of extremes equals product of means in a proportion
Q9. 12
Explanation: 3:12 = x:48, so 12x = 3 x 48 = 144, x = 12
Q10. 25
Explanation: 35/7 = 5, so girls = 5 x 5 = 25
Q11. Total parts = 8. Each part = 560/8 = Rs 70. Arjun gets 3 x 70 = Rs 210. Meera gets 5 x 70 = Rs 350.
Q12. Product of extremes = 4 x 15 = 60. Product of means = 12 x 5 = 60. Since both products are equal, 4, 12, 5, 15 are in proportion.
Q13. 5:8 = 20:x. Using cross multiplication, 5x = 8 x 20 = 160. Therefore x = 32.
Q14. Speed = 180/3 = 60 km per hour. Distance in 5 hours = 60 x 5 = 300 km.
Q15. HCF of 75 and 125 is 25. Therefore 75:125 = 3:5.
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