Tamil Nadu Class 8 Maths Practice Drill — Samacheer Kalvi

Instructions

Set a timer for 20 minutes. Answer all questions in your notebook — single-line answers for one-mark questions. Show formulae for formula questions. Check answers with textbook after the timer stops.

Part A — Recall (20 questions, 1 mark each)

1. Standard form of 15/−20 = ? 2. Additive inverse of −7/9 = ? 3. Area of rhombus formula = ? 4. Volume of cube with side a = ? 5. Expand (p + q)² = ? 6. Factorise: x² − 49 = ? 7. Origin coordinates = ? 8. Quadrant of (−1, −5) = ? 9. Distance formula = ? 10. Sum of angles in a triangle = ? 11. SSS stands for = ? 12. Diagonals of a parallelogram ________ each other. 13. Area of trapezium formula = ? 14. TSA of cuboid formula = ? 15. (a − b)² = ? 16. 1 m³ = ________ litres. 17. Mode of 3, 5, 3, 7, 3, 8 = ? 18. Exterior angle theorem statement = ? 19. Diagonals of a rhombus bisect at ________ degrees. 20. Identity: (a + b)(a − b) = ?

Part B — Apply (20 questions, ~1–2 minutes each)

21. Write −18/30 in standard form. 22. Add: 1/3 + (−1/4). 23. Divide: (5/6) ÷ (10/3). 24. Area of trapezium: a = 9, b = 5, h = 4. 25. Area of rhombus: d₁ = 12, d₂ = 10. 26. Volume of cuboid: 6 × 4 × 3. 27. Expand (2x + 3)². 28. Expand (5m − 2)(5m + 2). 29. Factorise: 4a² − 12a + 9. 30. Evaluate 102² using identity. 31. Find angle C if A = 60°, B = 75°. 32. Find exterior angle if one opposite interior = 35°, other = 55°. 33. Distance between (0,0) and (3, 4). 34. Distance between (1,1) and (4,5). 35. Quadrant of (7, −2)? 36. Parallelogram: one angle = 75°. Find the adjacent angle. 37. Mean of 4, 6, 8, 10, 12. 38. Median of 5, 3, 9, 7, 1. 39. Table for y = x + 3: x = 0, 1, 2. 40. Next Fibonacci term after 13: ?

Part C — Extend (20 questions, ~2–3 minutes each)

41. Factorise: 2x² + 8x + 8. 42. Evaluate 99 × 101 using identity. 43. Find the side of a rhombus with diagonals 30 cm and 16 cm. 44. TSA of cube with side 7 cm. 45. Volume of cube with TSA = 54 cm². 46. Show A(0,0), B(4,0), C(0,3) form a right triangle. Find hypotenuse. 47. Prove: angle sum of triangle = 180° (state the construction used). 48. In parallelogram, one angle = 110°. Find remaining three angles. 49. Factorise: 9y² − 25z². 50. Verify (a + b)² − (a − b)² = 4ab for a = 3, b = 2. 51. Find the value of x in: 3/5 + x = 1. 52. Expand and simplify (3a + 4b)² − (3a − 4b)². 53. A tank 5 m × 3 m × 2 m — how many litres? 54. Which congruence criterion: right angle, hypotenuse, one side? 55. Point on y-axis with y = −4: coordinates? 56. Draw y = 2x − 1 for x = 0, 1, 2. 57. Factorise: ax + bx + ay + by. 58. Is the mean affected by extreme values? Yes or No? 59. The sum of the first 10 Fibonacci numbers divided by the 7th term = ? 60. Construct a sentence using: "congruent", "SAS", and "CPCTC".

Scoring Guide