← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 102 · 40 sums
TalentJR

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

NameDateTime takenScore ___ / 40
  1. 1.Which of these is a perfect square? (a) 109 (b) 103 (c) 100
  2. 2.Which of these is a perfect cube? (a) 35 (b) 40 (c) 27
  3. 3.What is the smallest whole number by which 350 must be divided to get a perfect square?
  4. 4.Which of these is a perfect cube? (a) 2106 (b) 1728 (c) 1736
  5. 5.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  6. 6.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  7. 7.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  8. 8.If a − b = 2 and ab = 3, what is a² + b²?
  9. 9.If a − b = 4 and ab = 12, what is a² + b²?
  10. 10.Solve: 3x + 5 = 2x + 14. What is x?
  11. 11.What is the difference between the compound interest and the simple interest on ₹39200 at 25% per year for 2 years (in ₹)?
  12. 12.Use (a + b)² = a² + 2ab + b² to find 36².
  13. 13.What is the value of 3⁻⁵ (as a fraction)? =
  14. 14.If a + b = 9 and ab = 8, what is a² + b²?
  15. 15.What is the difference between the compound interest and the simple interest on ₹21200 at 15% per year for 2 years (in ₹)?
  16. 16.How many whole numbers lie between 34² and 35²?
  17. 17.What amount will ₹34000 grow to in 1 year at 12% per year compound interest (in ₹)?
  18. 18.Which of these is a perfect square? (a) 1017 (b) 961 (c) 990
  19. 19.A room is 8 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  20. 20.Use (a + b)(a − b) = a² − b² to find 32 × 28.
  21. 21.The sum of four consecutive whole numbers is 202. What is the smallest of them?
  22. 22.A trapezium has parallel sides of 21 cm and 2 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  23. 23.Find the value of x² + 2xy + y² when x = 12 and y = 2.
  24. 24.If a − b = 8 and ab = 48, what is a² + b²?
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.Use (a + b)² = a² + 2ab + b² to find 12².
  27. 27.Use (a − b)² = a² − 2ab + b² to find 88².
  28. 28.Solve: 3m + 18 = m + 40. What is m?
  29. 29.Use a² − b² = (a + b)(a − b) to find 94² − 14².
  30. 30.What is ∛2744? =
  31. 31.Find the compound interest on ₹21000 at 20% per year for 3 years, compounded every year (in ₹).
  32. 32.Solve: t/3 + t/5 = 48. What is t?
  33. 33.What is 30²? =
  34. 34.7.5 × 10³ =
  35. 35.What amount will ₹23500 grow to in 2 years at 20% per year compound interest (in ₹)?
  36. 36.What is the value of 5¹ × 5⁻⁶? =
  37. 37.The sum of three consecutive whole numbers is 114. What is the smallest of them?
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is 4³? =
  40. 40.Use (a + b)(a − b) = a² − b² to find 88 × 72.

Answer key

  1. 100
  2. 27
  3. 14
  4. 1728
  5. 25
  6. 81
  7. 441
  8. 10
  9. 40
  10. 9
  11. 2450
  12. 1296
  13. 1/243
  14. 65
  15. 477
  16. 68
  17. 38080
  18. 961
  19. 88
  20. 896
  21. 49
  22. 92
  23. 196
  24. 160
  25. 64
  26. 144
  27. 7744
  28. 11
  29. 8640
  30. 14
  31. 15288
  32. 90
  33. 900
  34. 7500
  35. 33840
  36. 1/3125
  37. 37
  38. 216
  39. 64
  40. 6336

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets