Exercise Solutions Available
Step-by-step answers for all textbook questions in this chapter
Instructions
- Time allowed: 2.5 hours
- Maximum marks: 60
- Show all working for full marks.
Section A — One Mark Questions (15 × 1 = 15)
1. Is −7/0 a rational number? Give a reason. 2. Find five rational numbers between 0 and 1. 3. Write the formula for the area of a trapezium. 4. Expand (x − 4)² using the identity. 5. State the SAS congruence criterion. 6. In which quadrant does (5, −3) lie? 7. Factorise: 4m² − 12m + 9. 8. Find the distance from the origin to point (3, 4). 9. The diagonals of a rhombus are 8 cm and 6 cm. Find its area. 10. Total surface area of a cuboid of dimensions l, b, h is ________. 11. What is the multiplicative inverse of −2/3? 12. Evaluate 97² using (100 − 3)². 13. Two angles of a triangle are 60° and 80°. Find the third angle. 14. A cube has side 2 cm. Find its volume. 15. The y-coordinate of any point on the x-axis is ________.
Section B — Two Mark Questions (10 × 2 = 20)
16. Subtract: 2/3 − (−5/6). Show steps. 17. The area of a trapezium is 54 cm² and its height is 6 cm. One parallel side is 8 cm. Find the other. 18. Expand (4p + 5q)(4p − 5q). 19. Find the value of 99 × 101 using the identity (a + b)(a − b). 20. Identify the quadrant for each point: (3, 7), (−2, −5), (4, −1), (−3, 6). 21. A cuboid tank is 4 m × 3 m × 2 m. How many litres of water can it hold? 22. Factorise: 5x² + 10x (common factor). 23. Find the distance between P(−1, 2) and Q(3, 5). 24. In parallelogram PQRS, angle P = 65°. Find angles Q, R, and S. 25. Draw a table for y = x + 1 for x = −1, 0, 1, 2 and plot the points.
Section C — Five Mark Questions (5 × 5 = 25)
26. A cuboidal container is 6 m × 5 m × 4 m. Find its total surface area and the number of litres of liquid it can hold.
27. Expand (2a + 3b)² − (2a − 3b)² and simplify. Interpret the result using identities.
28. Prove that in a parallelogram, the diagonals bisect each other. (Use triangle congruence and CPCTC.)
29. Show that A(0, 0), B(4, 0), C(4, 3), and D(0, 3) form a rectangle. Calculate the length of the diagonals.
30. Draw the graphs of y = 2x + 1 and y = x + 3 on the same Cartesian plane and find their point of intersection. Verify algebraically.
Self-Assessment
| Section | Maximum | My Score |
|---|---|---|
| Section A (15 × 1) | 15 | |
| Section B (10 × 2) | 20 | |
| Section C (5 × 5) | 25 | |
| Total | 60 |
Compare your score with Model Paper 1. If your score improved, your revision is working. Note chapters still causing errors and revise them once more.