NCERT Worksheet Class 8 Maths Chapter 7 Proportional Reasoning-1 | 20 MCQs with Solutions | CBSE 2026-27

Class 8 Maths Chapter 7 Proportional Reasoning-1 - 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 7 Proportional Reasoning-1. This chapter covers Observing Similarity in Change, Ratios in Simplest Form, Factor of Change, Direct & Inverse Proportion, Sharing in a Ratio, Unit Conversions and Trairashika - Rule of Three. Perfect for CBSE students worldwide.

Board: CBSE | Class: 8 | Chapter: 7 Proportional Reasoning-1 | Book: Ganit Prakash 2026-27 Part 1 | Type: MCQ Worksheet with Solutions

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Learning Objectives (As per NCERT 2026-27):
✓ Observing similarity in change - Factor of Change
✓ Ratios in Simplest Form
✓ Direct Proportion - x/y = constant, Inverse Proportion - x*y = constant
✓ Sharing in a Ratio, Unit Conversions, Trairashika

Worksheet - Chapter 7 Proportional Reasoning-1 - 20 MCQs with Answers

Q1. Ratio 12:18 in simplest form is:
(a) 2:3 (b) 3:2 (c) 4:6 (d) 6:9

Q2. Which is equivalent to 3:5?
(a) 6:10 (b) 3:10 (c) 5:3 (d) 6:5

Q3. If 4 pens cost Rs 40, cost of 7 pens is:
(a) Rs 60 (b) Rs 70 (c) Rs 80 (d) Rs 50

Q4. If 5 kg sugar costs Rs 200, cost of 1 kg is:
(a) Rs 20 (b) Rs 40 (c) Rs 50 (d) Rs 25

Q5. Which is direct proportion?
(a) Speed & Time for same distance (b) Distance & Time at same speed (c) Men & Days to finish work (d) None

Q6. Which is inverse proportion?
(a) Pens & Cost (b) Speed & Time for same distance (c) Distance & Time (d) Books & Pages

Q7. If x and y are in direct proportion, x=3, y=12, if x=5, y=
(a) 15 (b) 20 (c) 18 (d) 25

Q8. If x and y are in inverse proportion, x=4, y=6, if x=8, y=
(a) 12 (b) 3 (c) 6 (d) 2

Q9. Share Rs 100 in ratio 3:2. First part is:
(a) Rs 40 (b) Rs 60 (c) Rs 50 (d) Rs 30

Q10. Share Rs 90 in ratio 2:1. Second part is:
(a) Rs 60 (b) Rs 30 (c) Rs 45 (d) Rs 20

Q11. 1 km =
(a) 100 m (b) 1000 m (c) 10 m (d) 10000 m

Q12. 1 hour =
(a) 100 min (b) 60 min (c) 3600 sec (d) Both b and c

Q13. 2.5 kg =
(a) 250 g (b) 2500 g (c) 25 g (d) 25000 g

Q14. If 6 workers finish work in 10 days, 12 workers finish in:
(a) 20 days (b) 5 days (c) 10 days (d) 12 days

Q15. Factor of change from 4 to 12 is:
(a) 2 (b) 3 (c) 4 (d) 8

Q16. 15:20 = 3:?
(a) 5 (b) 4 (c) 3 (d) 6

Q17. Ratio of 30 minutes to 2 hours is:
(a) 1:4 (b) 30:2 (c) 1:2 (d) 15:1

Q18. In direct proportion, graph is:
(a) Straight line through origin (b) Curve (c) Horizontal line (d) Circle

Q19. Trairashika means:
(a) Rule of Two (b) Rule of Three (c) Rule of Four (d) Rule of Five

Q20. If 3 notebooks cost Rs 45, cost of 5 notebooks is:
(a) Rs 60 (b) Rs 75 (c) Rs 90 (d) Rs 65

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Answer Key - Chapter 7 Proportional Reasoning-1

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

Detailed Solutions with Tricks

Q1, Q2, Q16. Simplest Form Trick: Divide both by HCF. 12:18 ÷6 = 2:3. Equivalent = multiply both by same number. 3:5 x2 = 6:10.

Q3, Q4, Q20. Unitary / Trairashika Trick: Find 1 first, then many. 40 ÷4=10 per pen, 10x7=70. 45÷3=15 per notebook, 15x5=75.

Q5, Q6, Q7, Q8. Direct vs Inverse: Direct: x/y = constant. 3/12=5/y => y=20. Inverse: x*y = constant. 4x6=24, 8*y=24 => y=3.

Q9, Q10. Sharing Trick: Total parts = 3+2=5. First = 3/5 x100=60. For 90 in 2:1, total 3, second = 1/3 x90=30.

Q14. Inverse in Real Life: More workers = less days. 6x10=60 worker-days, 60÷12=5 days.

Q17. Unit Trick: Convert to same unit. 2 hours = 120 min, 30:120 = 1:4.

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Next Chapter: Chapter 8 Ganit Prakash Part 2 - Chapter 1 Finding The Unknown Worksheet | Previous: Chapter 6 Keeping Things in Proportion Worksheet

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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Next Chapter: Chapter 7 Knowing Our Numbers - Part 2 Worksheet | Previous: Chapter 5 Number Play Worksheet

NCERT Worksheet Class 8 Maths Chapter 5 Number Play | 20 MCQs with Solutions | CBSE 2026-27

Class 8 Maths Chapter 5 Number Play - 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 5 Number Play. This chapter covers Patterns in Numbers, Parity, Multiples of 4, Divisibility by 3, 9, 11, Digital Roots, Factors, Multiples and Cryptarithms. Perfect for CBSE students worldwide.

Board: CBSE | Class: 8 | Chapter: 5 Number Play | Book: Ganit Prakash 2026-27 | Type: MCQ Worksheet with Solutions

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Learning Objectives (As per NCERT 2026-27):
✓ Sum of consecutive numbers & patterns
✓ Parity (Even/Odd), Multiples of 4
✓ Divisibility Rules for 3, 9, 11 & Digital Roots
✓ Proving claims for every number - Always/Sometimes/Never

Worksheet - Chapter 5 Number Play - 20 MCQs with Answers

Q1. Which is divisible by 3?
(a) 124 (b) 126 (c) 130 (d) 137

Q2. Which is divisible by 9?
(a) 123 (b) 729 (c) 456 (d) 112

Q3. Which is divisible by 11?
(a) 121 (b) 123 (c) 145 (d) 111

Q4. Digital root of 987 is:
(a) 6 (b) 8 (c) 9 (d) 24

Q5. Sum of first 5 consecutive numbers 1+2+3+4+5 =
(a) 10 (b) 15 (c) 20 (d) 25

Q6. Sum of 7+8+9 =
(a) 24 = 3 x 8 (b) 20 (c) 26 (d) 30

Q7. Prime factors of 36 are:
(a) 2x2x3x3 (b) 2x3x6 (c) 4x9 (d) 6x6

Q8. Prime factors of 60 are:
(a) 2x2x3x5 (b) 2x3x10 (c) 4x15 (d) 6x10

Q9. Which is divisible by 4?
(a) 1316 (b) 1315 (c) 1317 (d) 1319

Q10. Which is divisible by 5?
(a) 75 (b) 72 (c) 73 (d) 74

Q11. 123 + 321 =
(a) 444 (b) 443 (c) 445 (d) 400

Q12. A 3-digit number + its reverse is always divisible by:
(a) 9 (b) 11 (c) 13 (d) 7

Q13. Even + Odd =
(a) Even (b) Odd (c) Both (d) None

Q14. Odd + Odd =
(a) Odd (b) Even (c) Zero (d) Prime

Q15. Digital root of 123 is:
(a) 5 (b) 6 (c) 7 (d) 9

Q16. Which number is divisible by 2, 3 and 9?
(a) 126 (b) 127 (c) 125 (d) 129

Q17. 101 - 010 = 91. Digital root of 91 is:
(a) 10 (b) 1 (c) 9 (d) 0

Q18. If sum of digits is divisible by 9, number is divisible by:
(a) 3 only (b) 9 and 3 (c) 11 (d) 4

Q19. Which is a multiple of 4?
(a) 14 (b) 22 (c) 28 (d) 30

Q20. 1+2+3+...+10 =
(a) 45 (b) 50 (c) 55 (d) 60

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Answer Key - Chapter 5 Number Play

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

Detailed Solutions with Tricks

Q1, Q2, Q16. Divisibility Trick: Sum of digits divisible by 3 => divisible by 3. Sum divisible by 9 => divisible by 9 and 3. 126 => 1+2+6=9, so divisible by 3 and 9.

Q3 & Q12. Divisibility by 11 Trick: (Sum of alternate digits difference) = 0 or 11. 121 => (1+1)-2=0. Any 3-digit + reverse always gives multiple of 11.

Q4, Q15, Q17. Digital Root Trick: Keep adding digits till single digit. 987 => 9+8+7=24 => 2+4=6. 91 => 9+1=10 => 1+0=1.

Q5, Q6, Q20. Consecutive Sum Trick: Sum = Middle number x Count. 1+2+3+4+5 = 3 x 5 = 15. 1 to 10 = 55 (n(n+1)/2).

Q13 & Q14. Parity Trick: Even+Odd=Odd, Odd+Odd=Even, Even+Even=Even. Always check last digit.

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Next Chapter: Chapter 6 Keeping Things in Proportion Worksheet | Previous: Chapter 4 Quadrilaterals Worksheet