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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 73 · 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.What is the value of 8³? =
  2. 2.Use (a − b)² = a² − 2ab + b² to find 71².
  3. 3.Find the compound interest on ₹27700 at 8% per year for 1 year, compounded every year (in ₹).
  4. 4.A trapezium has an area of 520 square cm. Its parallel sides are 24 cm and 28 cm. What is the distance between them (in cm)?
  5. 5.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  6. 6.What is √900? =
  7. 7.What is the value of 9³? =
  8. 8.Which of these is a perfect cube? (a) 3280 (b) 2892 (c) 2744
  9. 9.Find the compound interest on ₹14800 at 25% per year for 2 years, compounded every year (in ₹).
  10. 10.What is the value of 2⁻⁸ (as a fraction)? =
  11. 11.Find the value of x² − y² when x = 4 and y = 1.
  12. 12.What is the value of (3/5)⁻¹? =
  13. 13.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  14. 14.What is 8³? =
  15. 15.How many whole numbers lie between 16² and 17²?
  16. 16.Use a² − b² = (a + b)(a − b) to find 77² − 69².
  17. 17.Solve: 8m + 1 = 6m + 21. What is m?
  18. 18.Solve: y/5 + y/3 = 64. What is y?
  19. 19.The diagonals of a rhombus are 26 cm and 22 cm. What is its area (in square cm)?
  20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  21. 21.What is the value of 8⁴? =
  22. 22.Write 8.5 × 10⁻² as a decimal. =
  23. 23.Use (a + b)(a − b) = a² − b² to find 72 × 68.
  24. 24.Write 1.6 × 10⁻² as a decimal. =
  25. 25.Which of these is a perfect cube? (a) 96 (b) 107 (c) 64
  26. 26.The diagonals of a rhombus are 16 cm and 21 cm. What is its area (in square cm)?
  27. 27.Write 6.4 × 10⁻² as a decimal. =
  28. 28.What is 17³? =
  29. 29.What is the difference between the compound interest and the simple interest on ₹42600 at 10% per year for 2 years (in ₹)?
  30. 30.Write (6³)² as a single power 6ⁿ. What is n?
  31. 31.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 763 (b) 874 (c) 729
  33. 33.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
  34. 34.What is the smallest whole number by which 343 must be multiplied to get a perfect square?
  35. 35.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  36. 36.What is 12³? =
  37. 37.Which of these is a perfect cube? (a) 1331 (b) 1562 (c) 1593
  38. 38.What is the value of 10⁶ × 10⁻⁴? =
  39. 39.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  40. 40.Solve: 5(t − 5) = 3t + 25. What is t?

Answer key

  1. 512
  2. 5041
  3. 2216
  4. 20
  5. 31
  6. 30
  7. 729
  8. 2744
  9. 8325
  10. 1/256
  11. 15
  12. 5/3
  13. 14
  14. 512
  15. 32
  16. 1168
  17. 10
  18. 120
  19. 286
  20. 15
  21. 4096
  22. 0.085
  23. 4896
  24. 0.016
  25. 64
  26. 168
  27. 0.064
  28. 4913
  29. 426
  30. 6
  31. 25
  32. 729
  33. 39
  34. 7
  35. 3
  36. 1728
  37. 1331
  38. 100
  39. 361
  40. 25

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