Chapter 1: Integers - Mock Test
Instructions
- •This test has 20 questions covering all topics from Chapter 1
- •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
- •You can take this test multiple times
Mock Test Questions
Section A: 1 Mark Questions (8 × 1 = 8 marks)
1. Identify the integer that is NOT in the following set: -5, 0, 4, 2.5, -1
Show Answer
Answer: 2.5 (It is a decimal, not an integer)
2. What is the additive inverse of -9?
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Answer: 9
3. Compare -7 and -3. Which is greater?
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Answer: -3
4. Simplify: (-4) × 0
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Answer: 0
5. What is |-15|?
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Answer: 15
6. Write the successor of -8.
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Answer: -7
7. Simplify: 10 + (-6)
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Answer: 4
8. Which operation is NOT commutative for integers?
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Answer: Subtraction and Division
Section B: 2 Mark Questions (8 × 2 = 16 marks)
9. Represent -6, -2, 0, 3 on a number line and arrange them in ascending order.
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Answer: Number line should show all integers with equal spacing. Ascending order: -6 < -2 < 0 < 3
10. Simplify: (-12) + (-8) - Give the working steps.
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Answer: Both numbers are negative. Add absolute values: 12 + 8 = 20. Put negative sign: -20
11. Evaluate: 15 - (-5). Show the steps.
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Answer: 15 - (-5) = 15 + 5 = 20
12. Multiply: (-5) × 4 × (-2). What is the sign of the answer?
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Answer: (-5) × 4 = -20; (-20) × (-2) = 40. Sign is positive (two negative signs)
13. Apply distributive property: 6 × (3 - 2). Verify both methods.
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Answer: Method 1: 6 × 1 = 6. Method 2: (6×3) - (6×2) = 18 - 12 = 6 ✓
14. Find the value of: [(-8) + 6] × 2
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Answer: (-8) + 6 = -2; (-2) × 2 = -4
15. State the property: (-3) × (4 × 2) = ((-3) × 4) × 2
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Answer: Associative Property of Multiplication
16. Evaluate: 0 ÷ (-7) and explain why a number cannot divide by 0.
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Answer: 0 ÷ (-7) = 0. Division by 0 is undefined because no number multiplied by 0 gives a non-zero result.
Section C: 4 Mark Questions (4 × 4 = 16 marks)
17. A shopkeeper bought goods for Rs. 5000. He sold some items for Rs. 3500 and returned damaged items worth Rs. 800. What is his profit or loss?
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Answer: Cost Price = 5000 Selling Price = 3500 Loss on returned items = -800 Total = 3500 - 800 = 2700 Profit/Loss = 2700 - 5000 = -2300 = Loss of Rs. 2300
18. Simplify and show all steps: [(-6) × 5] + [(-4) × (-8)] - [12 ÷ (-3)]
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Answer: Step 1: (-6) × 5 = -30 Step 2: (-4) × (-8) = 32 Step 3: 12 ÷ (-3) = -4 Step 4: -30 + 32 - (-4) = -30 + 32 + 4 = 6
19. The temperature was 5°C at 6 AM. By 12 PM it rose by 8°C. By 6 PM it dropped by 3°C. By 10 PM it dropped by 4°C. What was the temperature at 10 PM?
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Answer: Initial (6 AM) = 5°C After rise (12 PM) = 5 + 8 = 13°C After drop (6 PM) = 13 - 3 = 10°C Final (10 PM) = 10 - 4 = 6°C Temperature at 10 PM = 6°C
20. In a game, a player scores +4 for correct answer and -2 for wrong answer. If he attempts 25 questions with 18 correct answers, what is his total score?
Show Answer
Answer: Correct answers = 18 Incorrect answers = 25 - 18 = 7 Score from correct = 18 × 4 = 72 Score from incorrect = 7 × (-2) = -14 Total Score = 72 + (-14) = 72 - 14 = 58
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 working but minor computational error: 1 mark
- • Wrong answer without proper working: 0 marks
Section C (4 Marks)
- • Correct answer with all steps: 4 marks
- • Correct approach but minor errors: 3 marks
- • Partially correct (≥50% work): 2 marks
- • Some relevant working shown: 1 mark
- • No attempt or completely wrong: 0 marks
Performance Analysis
36-40 marks: Excellent! You have mastered the chapter.
30-35 marks: Very Good! You have strong understanding of the topic.
24-29 marks: Good! Revise the weaker areas and practice more.
18-23 marks: Average. Focus on concepts you found difficult.
Below 18 marks: Need improvement. Review the chapter fundamentals and seek help.
Exam Preparation Tips
- ✓Always show your working - partial credit is given for correct steps
- ✓Double-check sign rules in multiplication and division
- ✓For negative number comparison, remember: closer to 0 = greater
- ✓Practice multiple mock tests to improve speed and accuracy
- ✓Manage time: Spend ~3 min on 1-mark, ~5 min on 2-mark, ~8 min on 4-mark questions