Term 1 Unit Test — Class 8 Mathematics
| Time: 2 hours | Maximum Marks: 50 |
|---|
Section A — One Mark (10 × 1 = 10)
1. Write the rational number −18/24 in standard form. 2. What is the multiplicative inverse of 4/5? 3. The area of a rhombus with diagonals 6 cm and 8 cm is ________. 4. Expand (a + 2)². 5. Factorise: m² − 25. 6. A cube has side 3 cm. Its total surface area is ________. 7. Write the identity for (a − b)(a + b). 8. Find: (3/5) × (−10/9). 9. The formula for the volume of a cuboid is ________. 10. Evaluate 96² using (100 − 4)².
Section B — Three Mark Questions (5 × 3 = 15)
11. Add: 3/4 + (−5/6). Show all steps. 12. Find the area of a trapezium whose parallel sides are 11 cm and 7 cm with height 4 cm. 13. Expand and simplify: (3x + 2y)² − (3x − 2y)². 14. Factorise: 16a² − 40ab + 25b². 15. Find the volume and total surface area of a cuboid 7 cm × 5 cm × 4 cm.
Section C — Five Mark Questions (5 × 5 = 25)
16. Verify the distributive property of multiplication over addition for rational numbers: a = 2/3, b = −1/4, c = 1/6.
17. The area of a trapezium is 63 cm² and its height is 7 cm. One parallel side is 10 cm. Find the other parallel side. Also find the perimeter if the non-parallel sides are each 5 cm.
18. Expand: (a) (4x + 5)² (b) (4x − 5)² (c) (4x + 5)(4x − 5). Show all steps and write what identity is used in each.
19. A room 10 m long, 8 m wide, and 4 m high is to be painted. Find: (a) The area of 4 walls. (b) Total area including the ceiling. (c) Cost at ₹12 per m².
20. (a) Factorise: 3x² + 12x + 12. (b) Factorise: 49y² − 28y + 4. (c) Find the product using identity: (7p + 3q)(7p − 3q).
Marks Distribution
| Chapter | Approximate Marks |
|---|---|
| Rational Numbers | ~15 marks |
| Measurements | ~15 marks |
| Algebra | ~20 marks |
After completing this test: Mark your answers with the textbook, note your chapter-wise score, and revise any chapter where you scored below 50%.