Fractions in Disguise Class 8 Worksheet with Answers Maths Chapter 1

The Fractions in Disguise Class 8 Worksheet with Answers is an excellent resource for students who want to strengthen their understanding of percentages, fractions, decimals, and their real-life applications. Based on the latest CBSE Class 8 Mathematics syllabus, this worksheet helps students practice important concepts covered in the chapter through a variety of question types. Whether you are preparing for school exams, class tests, or simply revising the chapter, solving a Fractions in Disguise worksheet can help improve accuracy, speed, and problem-solving skills.

Fractions in Disguise Class 8 Worksheet: Overview

The chapter Fractions in Disguise introduces students to the relationship between fractions, percentages, and decimals. It explains how percentages can be used to compare quantities, calculate proportions, and solve real-life problems.

Topics Covered in the Chapter

• Fractions as Percentages
• Percentage of a Quantity
• Fractions, Decimals, and Percentages (FDP Trio)
• Percentages Greater Than 100
• Using Percentages to Compare Quantities
• Percentage Increase and Decrease

Also Read: Class 8 Maths Worksheets

Download Fractions in Disguise Class 8 Worksheet PDF with Answers

Students can download the Fractions in Disguise Class 8 Worksheet PDF with Answers and access additional study resources, practice questions, revision notes, and learning materials on Infinity Learn to strengthen their preparation and improve their performance in Mathematics.

Class 8 Maths Fractions in Disguise Worksheet

Section A: Multiple Choice Questions (1 Mark Each)

1. What does 25% mean?
   a) 25 out of 50
   b) 25 out of 100
   c) 50 out of 100
   d) 75 out of 100
2. Convert ( \frac{3}{4} ) into a percentage.
   a) 50%
   b) 60%
   c) 75%
   d) 80%
3. 50% of 120 is:
   a) 50
   b) 60
   c) 70
   d) 80
4. 24% as a fraction is:
   a) 24/50
   b) 6/25
   c) 12/20
   d) 3/10
5. Which of the following is equal to 0.5?
   a) 25%
   b) 40%
   c) 50%
   d) 75%
6. 20% of 250 is:
   a) 25
   b) 40
   c) 50
   d) 60
7. A score of 80 out of 100 is:
   a) 70%
   b) 75%
   c) 80%
   d) 85%
8. 120% is:
   a) Less than 100%
   b) Equal to 100%
   c) Greater than 100%
   d) Zero
9. 10% of 80 equals:
   a) 8
   b) 10
   c) 12
   d) 16
10. 1% of 500 is:
    a) 1
    b) 5
    c) 10
    d) 50

Answers

1-b, 2-c, 3-b, 4-b, 5-c, 6-c, 7-c, 8-c, 9-a, 10-b

Also Check: A Square and A Cube Class 8 Maths Chapter 1 Worksheet

Section B: Assertion and Reason-Based Questions

1. Assertion: Percentages are fractions with denominator 100.
   Reason: 25% = 25/100.
2. Assertion: 50% is equal to 1/2.
   Reason: 50/100 simplifies to 1/2.
3. Assertion: 120% is greater than 100%.
   Reason: Percentages can be greater than 100.
4. Assertion: 25% of 80 equals 20.
   Reason: 25% = 1/4.
5. Assertion: 10% of a quantity is one-tenth of it.
   Reason: 10% = 10/100.
6. Assertion: 75% is equivalent to 3/4.
   Reason: 75/100 simplifies to 3/4.
7. Assertion: 200% means twice the quantity.
   Reason: 200/100 = 2.
8. Assertion: Percentages help compare quantities with different totals.
   Reason: They convert values to a common base of 100.
9. Assertion: 1% of 200 is 20.
   Reason: 1% means 1 out of 100.
10. Assertion: 40% is greater than 35%.
    Reason: 40 > 35.

Answers

1. Both True; Reason explains Assertion.
2. Both True; Reason explains Assertion.
3. Both True; Reason explains Assertion.
4. Both True; Reason explains Assertion.
5. Both True; Reason explains Assertion.
6. Both True; Reason explains Assertion.
7. Both True; Reason explains Assertion.
8. Both True; Reason explains Assertion.
9. Assertion False, Reason True.
10. Both True; Reason explains Assertion.

Section C: True or False

1. 25% means 25 out of 100.
2. 50% is greater than 75%.
3. 100% represents the whole quantity.
4. Percentages cannot exceed 100.
5. 10% of 200 is 20.
6. 1/4 equals 25%.
7. 0.5 equals 50%.
8. 150% means one and a half times the quantity.
9. 20% of 50 equals 5.
10. 80% of 75 equals 60.

Answers

1. True
2. False
3. True
4. False
5. True
6. True
7. True
8. True
9. False
10. True

Section D: Complete the Following Tables

Answers

Table 1: 50%, 25%, 75%, 40%, 20%

Table 2: 1/2, 1/4, 3/4, 2/5, 1/5

Section E: Complete the Following Tables (FDP Trio)

Answers

Section F: Very Short Answer Type Questions

Questions

1. Convert 60% into a fraction.
2. Convert 3/5 into a percentage.
3. Find 10% of 90.
4. Find 25% of 40.
5. What is 1% of 300?
6. Express 0.8 as a percentage.
7. Convert 120% into decimal.
8. Find 50% of 64.
9. What is 20% of 150?
10. Convert 0.25 into percentage.

Answers

1. 3/5
2. 60%
3. 9
4. 10
5. 3
6. 80%
7. 1.2
8. 32
9. 30
10. 25%

Section G: Short Answer Type II Questions

Questions

1. Find 35% of 200.
2. A student scores 72 out of 90. Find the percentage.
3. Convert 7/10 into percentage.
4. Find 62% of 500.
5. A shirt costs ₹800. Find 25% of its cost.
6. Convert 140% into fraction.
7. Find 5% of 600.
8. What is 150% of 80?
9. Find the percentage of 18 out of 24.
10. Convert 43% into decimal.

Answers

1. 70
2. 80%
3. 70%
4. 310
5. ₹200
6. 7/5
7. 30
8. 120
9. 75%
10. 0.43

Section H: Case-Based Questions

Case Study 1

Riya scored 42 marks out of 50 in English and 70 out of 80 in Science.

1. Find her English percentage.
2. Find her Science percentage.
3. Which subject has a higher percentage?
4. Difference between the percentages?
5. Did she score above 80% in both subjects?

Answers

1. 84%
2. 87.5%
3. Science
4. 3.5%
5. Yes

Case Study 2

A cyclist completes 40% of a journey by travelling 92 km.

6. What percentage remains?
7. Total journey distance?
8. Remaining distance?
9. What is 20% of total distance?
10. If he completes another 30%, how much distance does he cover?

Answers

6. 60%
7. 230 km
8. 138 km
9. 46 km
10. 69 km

Key Concepts Covered in the Fractions in Disguise Worksheet

Fractions as Percentages

Students learn how to express fractions as percentages by converting them into equivalent fractions with denominator 100.

Example:

• 1/2 = 50%
• 3/4 = 75%
• 2/5 = 40%

Percentage of a Quantity

Students learn to calculate percentages of different quantities using:

Percentage of a Quantity = (Percentage ÷ 100) × Quantity

Fractions, Decimals, and Percentages (FDP Trio)

The chapter explains the relationship between fractions, decimals, and percentages.

Examples:

Percentages Greater Than 100

Students understand that percentages can be greater than 100 when a quantity exceeds its original value.

Examples:

• 120% means 20% more than the original quantity.
• 200% means double the original quantity.

Using Percentages for Comparison

Percentages provide a common base for comparing quantities with different totals.

For example, if a student scores:

• 42 out of 50 in English = 84%
• 70 out of 80 in Science = 87.5%

The student performed better in Science.

Benefits of Solving Fractions in Disguise Class 8 Worksheets

Solving worksheets regularly helps students:

• Improve conceptual understanding
• Strengthen calculation skills
• Build confidence in percentage problems
• Enhance logical reasoning abilities
• Prepare effectively for school exams
• Improve speed and accuracy

How to Use the Fractions in Disguise Worksheet for Exam Preparation

1. Solve Questions Topic-wise- Complete one concept at a time before moving to the next.

2. Practice Mental Percentage Calculations- Develop quick calculation techniques for common percentages such as:

• 10%
• 20%
• 25%
• 50%
• 75%

3. Revise Important Formulas- Keep important formulas handy during revision.

4. Attempt Mock Tests- Solve worksheet questions within a fixed time limit to improve exam performance.

Important Formulas from Fractions in Disguise

• Fraction to Percentage Formula: Percentage = Fraction × 100
• Percentage to Fraction Formula: Percentage = Percentage/100
• Finding Percentage of a Quantity: Percentage of Quantity = (Percentage ÷ 100) × Quantity
• Percentage Increase Formula: Percentage Increase = (Increase ÷ Original Value) × 100
• Percentage Decrease Formula: Percentage Decrease = (Decrease ÷ Original Value) × 100

Why is the Fractions in Disguise Chapter Important for Class 8 Students?

This chapter forms the foundation for advanced mathematics topics taught in higher classes. A strong understanding of percentages is useful not only in mathematics but also in everyday situations involving discounts, profit and loss, statistics, data interpretation, and financial calculations. The concepts learned in this chapter also help students prepare for competitive examinations and future academic studies.