Answers:
SECTION A – OBJECTIVE TYPE (15 × 1 = 15 Marks)
1. Equation whose solution is x = –4
Check each option by substituting x = –4.
a) 3x + 2 = 10 → –12 + 2 = –10 ≠ 10
b) 5 + x = 9 → 5 + (–4) = 1
c) 2x – 3 = –11 → –8 – 3 = –11
d) x + 7 = 4 → –4 + 7 = 3 ≠ 4
Correct answer: (c) 2x – 3 = –11
2. If 7x – 4 = 3x + 20
7x – 3x = 20 + 4
4x = 24
x = 6
Answer: (c) 6
3. Total = 9
Answer: (d) 9
4. A net of a cube can never contain
A cube net cannot have 6 squares in a straight row.
Answer: (b) 6 squares
5. Price increased by 20% and then discounted by 20%
Let original price = ₹100
After 20% increase → ₹120
After 20% discount → 20% of 120 = 24
Final price = 120 – 24 = ₹96
Final price is less than original
Answer: (c) less than original
6. 4½% of 12 m
4½% = 4.5 / 100 = 0.045
0.045 × 12 = 0.54 m = 54 cm
Answer: (a) 54 cm
7. Median of data: 14, 18, 12, 11, 25, 19, 15
Arrange in ascending order:
11, 12, 14, 15, 18, 19, 25
Median = middle value = 15
Answer: (a) 15
8. Solid with exactly 5 vertices and 5 faces
Square pyramid → 5 faces, 5 vertices
Answer: (c) square pyramid
9. If 3(2x – 1) = 4(x + 2)
6x – 3 = 4x + 8
6x – 4x = 8 + 3
2x = 11
x = 5.5
Answer: (c) 5.5
10. Simplest form of ratio 0.25 : 1.5
Multiply both by 4 → 1 : 6
Answer: (a) 1 : 6
11. A pie chart represents data using
Pie charts use angles
Answer: (c) angles
12. 45% of students are girls, number of girls = 18
45% = 18
Total students = 18 × 100 / 45 = 40
Answer: (a) 40
13. A net of a triangular pyramid must contain
A triangular pyramid has 4 triangular faces
Answer: (a) 4 triangles
14. Mode of the set
Data: {5, 6, 5, 7, 5, 6, 8, 7, 5, 8, 5, 6, 7, 5, 8, 5, 6, 5, 8}
Most frequent number = 5
Answer: (c) 5
15. Mean of 6 numbers is 20
Sum = Mean × Number
= 20 × 6 = 120
Answer: (d) 120
SECTION B – SHORT ANSWER (2 × 5 = 10 Marks)
16. Solve
17.
✅ SECTION C – LONG ANSWER (3 × 5 = 15 Marks)
22. Solve the equations
(a) 7(x – 3) – 4 = 3x + 12
7x – 21 – 4 = 3x + 12
7x – 25 = 3x + 12
4x = 37
x = 9.25
(b) 5(2x + 1) – 3(3x – 2) = 4
10x + 5 – 9x + 6 = 4
x + 11 = 4
x = –7
25. Double bar graph
Draw bars for Sunita and Vandhana for each subject
Sunita scored higher overall
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