Chapter 6: Simple Equations - Mock Test
Instructions
- •This test has 20 questions covering Simple Equations
- •Questions follow 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 working steps clearly
Mock Test Questions
Section A: 1 Mark Questions (8 × 1 = 8 marks)
1. Solve: x + 4 = 9
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Answer: x = 5 Verification: 5 + 4 = 9 ✓
2. What is the solution of 3x = 15?
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Answer: x = 5
3. Is x = 2 a solution of 2x + 1 = 5?
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Answer: Yes. Substitute: 2(2) + 1 = 4 + 1 = 5 ✓
4. Solve: x - 6 = 4
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Answer: x = 10
5. Write as equation: 'A number divided by 3 is 5'
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Answer: x/3 = 5
6. Solve: 2x + 1 = 9
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Answer: x = 4 Working: 2x = 8, x = 4
7. Find x: 4x - 2 = 6
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Answer: x = 2 Working: 4x = 8, x = 2
8. Is x = 3 solution of 5x - 2 = 13?
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Answer: Yes. Check: 5(3) - 2 = 15 - 2 = 13 ✓
Section B: 2 Mark Questions (8 × 2 = 16 marks)
9. Solve using transposition: 3x + 7 = 22
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3x + 7 = 22 3x = 22 - 7 3x = 15 x = 5 Verification: 3(5) + 7 = 15 + 7 = 22 ✓
10. Solve using balance method: 2x - 5 = 9
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2x - 5 = 9 Add 5 to both sides: 2x = 14 Divide by 2: x = 7 Verification: 2(7) - 5 = 14 - 5 = 9 ✓
11. Solve: 4(x - 1) = 12. Expand and solve.
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4(x - 1) = 12 Expand: 4x - 4 = 12 4x = 16 x = 4 Verification: 4(4 - 1) = 4(3) = 12 ✓
12. Solve: x/3 + 2 = 5
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x/3 + 2 = 5 x/3 = 3 x = 9 Verification: 9/3 + 2 = 3 + 2 = 5 ✓
13. A number increased by 8 gives 20. Find the number.
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Let number = x x + 8 = 20 x = 12 Verification: 12 + 8 = 20 ✓ The number is 12.
14. Three times a number minus 4 is 14. Find the number.
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Let number = x 3x - 4 = 14 3x = 18 x = 6 Verification: 3(6) - 4 = 18 - 4 = 14 ✓ The number is 6.
15. Solve: 2(x + 3) - 1 = 11
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2(x + 3) - 1 = 11 Expand: 2x + 6 - 1 = 11 2x + 5 = 11 2x = 6 x = 3 Verification: 2(3 + 3) - 1 = 2(6) - 1 = 12 - 1 = 11 ✓
16. Two consecutive integers sum to 31. Find them.
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Let first = x, second = x + 1 x + (x + 1) = 31 2x + 1 = 31 2x = 30 x = 15 Integers: 15 and 16 Verification: 15 + 16 = 31 ✓
Section C: 4 Mark Questions (4 × 4 = 16 marks)
17. Neha's father is 4 times her age. The sum of their ages is 60. Find their ages.
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Let Neha's age = x Father's age = 4x Sum: x + 4x = 60 5x = 60 x = 12 Neha's age = 12 years Father's age = 4(12) = 48 years Verification: 12 + 48 = 60 ✓
18. The perimeter of a rectangle is 50 cm. If length = 15 cm, find width.
Show Answer
Perimeter = 2(L + W) 50 = 2(15 + W) 50 = 30 + 2W 50 - 30 = 2W 20 = 2W W = 10 cm Verification: P = 2(15 + 10) = 2(25) = 50 ✓ Width = 10 cm
19. A number when multiplied by 3 and increased by 5 gives 35. Find the number.
Show Answer
Let number = x 3x + 5 = 35 3x = 35 - 5 3x = 30 x = 10 Verification: 3(10) + 5 = 30 + 5 = 35 ✓ The number is 10.
20. Ravi has 3 more books than Arun. Together they have 25 books. How many does each have?
Show Answer
Let Arun's books = x Ravi's books = x + 3 Total: x + (x + 3) = 25 2x + 3 = 25 2x = 22 x = 11 Arun has 11 books Ravi has 11 + 3 = 14 books Verification: 11 + 14 = 25 ✓
Marking Scheme
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 calculation error: 1 mark
- • No working shown: 0 marks
Section C (4 Marks)
- • Correct answer with all steps: 4 marks
- • Correct method with minor errors: 3 marks
- • Partial solution (≥50% correct): 2 marks
- • Some relevant work shown: 1 mark
Performance Analysis
36-40 marks: Excellent! Mastered simple equations.
30-35 marks: Very Good! Strong understanding.
24-29 marks: Good! Review weaker areas.
18-23 marks: Average. Focus on basics.
Below 18 marks: Need improvement. Review concepts.
Exam Tips
- ✓Always show working steps—partial credit awarded for correct method
- ✓Verify every answer by substituting back into original equation
- ✓Change signs carefully during transposition
- ✓Expand brackets before solving equations with brackets
- ✓Read word problems carefully; define variable clearly