NCERT Worksheet Class 8 Maths Chapter 6 Keeping Things in Proportion | 20 MCQs with Solutions | CBSE 2026-27

Class 8 Maths Chapter 6 Keeping Things in Proportion - NCERT 2026-27 Ganit Prakash - 20 MCQs Worksheet

Welcome to Galaxy Coaching Classes! This is the NEW NCERT Ganit Prakash 2026-27 worksheet for Class 8 Maths Chapter 6 Keeping Things in Proportion. This chapter covers Ratios, Proportions, Unitary Method, Direct & Inverse Proportion, Percentage, and Representation of Data. Perfect for CBSE students worldwide.

Board: CBSE | Class: 8 | Chapter: 6 Keeping Things in Proportion | Book: Ganit Prakash 2026-27 | Type: MCQ Worksheet with Solutions

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Learning Objectives (As per NCERT 2026-27):
✓ Understand Ratio and Proportion
✓ Unitary Method - Find value of one, then many
✓ Direct Proportion - Both increase together
✓ Inverse Proportion, Percentages, Tables & Graphs

Worksheet - Chapter 6 Keeping Things in Proportion - 20 MCQs with Answers

Q1. Ratio of 2 to 6 in simplest form is:
(a) 1:3 (b) 2:3 (c) 1:2 (d) 3:1

Q2. Which is equivalent ratio of 2:3?
(a) 4:5 (b) 6:9 (c) 2:6 (d) 3:2

Q3. If 2:3 = x:9, x =
(a) 4 (b) 6 (c) 9 (d) 3

Q4. If 5 pencils cost Rs 25, cost of 1 pencil is:
(a) Rs 5 (b) Rs 10 (c) Rs 25 (d) Rs 3

Q5. If 5 pencils cost Rs 25, cost of 3 pencils is:
(a) Rs 10 (b) Rs 15 (c) Rs 20 (d) Rs 12

Q6. Which is direct proportion?
(a) More workers, more time (b) More speed, less time (c) More workers, less time (d) None

Q7. Which is inverse proportion?
(a) More pens, more cost (b) More speed, less time (c) More distance, more time (d) More books, more pages

Q8. 50% of 200 is:
(a) 50 (b) 100 (c) 150 (d) 200

Q9. 25% of 80 is:
(a) 20 (b) 25 (c) 40 (d) 10

Q10. Ratio of 10 cm to 1 m is:
(a) 10:1 (b) 1:10 (c) 1:100 (d) 10:100

Q11. If a car covers 40 km in 1 hour, distance in 3 hours is:
(a) 80 km (b) 120 km (c) 40 km (d) 160 km

Q12. Map scale 1 cm = 100 km. If map distance is 3 cm, real distance is:
(a) 100 km (b) 200 km (c) 300 km (d) 30 km

Q13. Recipe for 4 people needs 2 cups flour. For 8 people needs:
(a) 2 cups (b) 4 cups (c) 6 cups (d) 8 cups

Q14. If x and y are in direct proportion, x=2, y=10, if x=5, y=
(a) 20 (b) 25 (c) 15 (d) 50

Q15. If 4 men finish work in 6 days, 8 men finish in:
(a) 12 days (b) 3 days (c) 6 days (d) 24 days

Q16. 2:4 = 1:2 is an example of:
(a) Ratio (b) Proportion (c) Percentage (d) Fraction

Q17. 3/5 as percentage is:
(a) 30% (b) 60% (c) 50% (d) 35%

Q18. Which shows part of whole in a circle?
(a) Bar chart (b) Pie chart (c) Line graph (d) Table

Q19. Ratio has:
(a) Unit (b) No unit (c) Always in cm (d) Always in Rs

Q20. If 12 kg of rice costs Rs 360, cost of 1 kg is:
(a) Rs 20 (b) Rs 30 (c) Rs 36 (d) Rs 12

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Answer Key - Chapter 6 Keeping Things in Proportion

1-a, 2-b, 3-b, 4-a, 5-b, 6-a, 7-b, 8-b, 9-a, 10-b, 11-b, 12-c, 13-b, 14-b, 15-b, 16-b, 17-b, 18-b, 19-b, 20-b

Detailed Solutions with Tricks

Q1, Q2. Ratio Trick: Divide both by HCF. 2:6 = 1:3. Equivalent ratio = multiply both by same number. 2:3 x 3 = 6:9.

Q3 & Q14. Proportion Trick: Cross multiply. 2:3 = x:9 => 3x = 18 => x=6. For direct proportion, y = 5 x (10/2) = 25.

Q4, Q5, Q20. Unitary Method: Find 1 first, then multiply. 25 ÷ 5 = 5 per pencil, 5 x 3 = 15. 360 ÷ 12 = 30 per kg.

Q6, Q7, Q15. Direct vs Inverse: Direct = both increase together. Inverse = one increases, other decreases. More men = less days => Inverse.

Q10. Unit Trick: Convert to same unit. 1 m = 100 cm, so 10 cm : 100 cm = 1:10.

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