Chapter 2: Fractions and Decimals - Mock Test
Instructions
- •This test has 20 questions covering all topics from Chapter 2
- •Questions are arranged as per CBSE paper pattern
- •Section A: 8 questions × 1 mark = 8 marks
- •Section B: 8 questions × 2 marks = 16 marks
- •Section C: 4 questions × 4 marks = 16 marks
- •No negative marking
- •Show all steps in your calculations
Mock Test Questions
Section A: 1 Mark Questions (8 × 1 = 8 marks)
1. Identify which is a proper fraction: 5/3, 3/5, 7/7, or 9/2?
Show Answer
Answer: 3/5 (numerator < denominator)
2. Convert 2 1/4 to improper fraction.
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Answer: 9/4 (2×4 + 1 = 9)
3. What is 1/2 + 1/4?
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Answer: 3/4
4. Find 2/3 × 3/4.
Show Answer
Answer: 1/2 (or 6/12 simplified)
5. What is the reciprocal of 4/5?
Show Answer
Answer: 5/4
6. Express 0.5 as a fraction.
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Answer: 1/2
7. Calculate 2.3 + 1.4
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Answer: 3.7
8. Find 0.6 × 0.2
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Answer: 0.12
Section B: 2 Mark Questions (8 × 2 = 16 marks)
9. Simplify: 1/2 + 1/3. Show steps.
Show Answer
Answer: LCM of 2 and 3 = 6 1/2 = 3/6, 1/3 = 2/6 3/6 + 2/6 = 5/6
10. Subtract: 3/4 - 1/3
Show Answer
Answer: LCM = 12 3/4 = 9/12, 1/3 = 4/12 9/12 - 4/12 = 5/12
11. Divide: 2/5 ÷ 3/7
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Answer: 2/5 ÷ 3/7 = 2/5 × 7/3 = 14/15
12. Convert 0.75 to fraction in simplest form.
Show Answer
Answer: 0.75 = 75/100 = 3/4
13. Add: 2.35 + 1.42
Show Answer
Answer: 2.35 + 1.42 ------ 3.77
14. Multiply: 1.5 × 2.4
Show Answer
Answer: 1.5 × 2.4 = 15 × 24 ÷ 100 = 360 ÷ 100 = 3.6
15. Arrange in ascending order: 1/2, 2/5, 3/4
Show Answer
Answer: Decimals: 1/2=0.5, 2/5=0.4, 3/4=0.75 Order: 2/5 < 1/2 < 3/4
16. A ribbon is 3/4 meter. Length of 5 ribbons?
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Answer: 5 × 3/4 = 15/4 = 3 3/4 meters
Section C: 4 Mark Questions (4 × 4 = 16 marks)
17. A pizza has 8 slices. Raj ate 3/8 and Priya ate 1/4. What fraction remains?
Show Answer
Answer: Raj ate = 3/8 Priya ate = 1/4 = 2/8 Total eaten = 3/8 + 2/8 = 5/8 Remaining = 8/8 - 5/8 = 3/8
18. Simplify: (1/2 + 1/3) ÷ (1/4 - 1/8)
Show Answer
Answer: Numerator: 1/2 + 1/3 = 3/6 + 2/6 = 5/6 Denominator: 1/4 - 1/8 = 2/8 - 1/8 = 1/8 Result: 5/6 ÷ 1/8 = 5/6 × 8/1 = 40/6 = 20/3
19. Cloth costs ₹2.50 per meter. Cost of 3.2 meters?
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Answer: Cost = 2.50 × 3.2 = 25 × 32 ÷ 100 = 800 ÷ 100 = 8 Cost = ₹8.00
20. Study time: Monday 1/2 hr, Tuesday 3/4 hr, Wednesday 1 1/4 hrs. Total?
Show Answer
Answer: Total = 1/2 + 3/4 + 1 1/4 = 2/4 + 3/4 + 5/4 = 10/4 = 2 1/2 hours
Marking Scheme & Evaluation
Section A (1 Mark)
1 mark for correct answer. No partial marking.
Section B (2 Marks)
- • Correct answer with working: 2 marks
- • Correct method but minor error: 1 mark
- • Wrong answer without working: 0 marks
Section C (4 Marks)
- • Correct answer with all steps: 4 marks
- • Correct approach but minor error: 3 marks
- • Partially correct (≥50% work): 2 marks
- • Some working shown: 1 mark
- • No attempt: 0 marks
Performance Analysis
36-40 marks: Excellent! You have mastered fractions and decimals.
30-35 marks: Very Good! Strong understanding of the concepts.
24-29 marks: Good! Revise weaker areas and practice more.
18-23 marks: Average. Focus on operations with fractions.
Below 18 marks: Need improvement. Review fundamentals and seek help.
Exam Preparation Tips
- •Always find LCM before adding/subtracting unlike fractions
- •For division of fractions, remember: flip and multiply
- •Count decimal places carefully in multiplication
- •Always simplify fractions to lowest terms
- •Practice converting between fractions and decimals