Exercise Solutions Available
Step-by-step answers for all textbook questions in this chapter
Instructions
- Time allowed: 2.5 hours
- Maximum marks: 60
- Answer all sections.
- Show all working for full marks.
Section A — One Mark Questions (15 × 1 = 15)
1. Write the standard form of −8/12. 2. What is the additive inverse of 3/7? 3. The area of a trapezium with parallel sides 6 cm and 4 cm and height 5 cm is ________. 4. Expand (a + 3)² using the identity. 5. Write the formula for the volume of a cube. 6. State the angle sum property of a triangle. 7. Which congruence criterion uses two angles and the included side? 8. The point (−3, 5) lies in which quadrant? 9. Write the coordinates of the origin. 10. In a parallelogram, opposite angles are ________. 11. Factorise: x² − 16. 12. Find 101² using the identity (100 + 1)². 13. The total surface area of a cube with side 4 cm is ________. 14. Write the distance formula between (x₁, y₁) and (x₂, y₂). 15. What is the reciprocal of −5/8?
Section B — Two Mark Questions (10 × 2 = 20)
16. Add: −3/5 + 7/10. Show your steps. 17. Find the area of a rhombus whose diagonals are 10 cm and 12 cm. 18. Expand (2x − 3)² fully. 19. Factorise: 9a² − 25b². 20. Find the distance between A(1, 4) and B(4, 8). Show working. 21. In triangle ABC, angle A = 55°, angle B = 75°. Find angle C. 22. A cuboid has dimensions 5 cm × 4 cm × 3 cm. Find its volume. 23. Find the product: (3/4) × (−8/9). Simplify. 24. Plot the graph of y = 2x for x = 0, 1, 2, 3. (Draw on graph paper.) 25. Name the type of quadrilateral where all angles are 90° and all sides are equal.
Section C — Five Mark Questions (5 × 5 = 25)
26. A room is 9 m long, 6 m wide, and 4 m high. Find the cost of painting the four walls and the ceiling at ₹18 per m².
27. Prove: In triangle ABC and triangle DEF, if AB = DE, BC = EF, and angle B = angle E, then △ABC ≅ △DEF. Name all corresponding equal parts.
28. (a) Expand (3m + 4n)² and (3m − 4n)². (b) Find their sum and difference.
29. The vertices of a triangle are A(0, 0), B(6, 0), and C(0, 8). Find the lengths of all three sides and verify whether it is a right-angled triangle.
30. Draw the graphs of y = 3x and y = x + 4 on the same axes. Find the intersection point and verify by substituting in both equations.
Self-Assessment
After completing the paper, use the textbook and your notes to mark your own answers.
| Section | Maximum | My Score |
|---|---|---|
| Section A (15 × 1) | 15 | |
| Section B (10 × 2) | 20 | |
| Section C (5 × 5) | 25 | |
| Total | 60 |
List the questions you got wrong and note the chapter and formula involved.