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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 641 · 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.Solve: 4p + 1 = 3p + 9. What is p?
  2. 2.Use (a + b)(a − b) = a² − b² to find 26 × 14.
  3. 3.What is the value of 2⁵? =
  4. 4.What is the difference between the compound interest and the simple interest on ₹2000 at 25% per year for 2 years (in ₹)?
  5. 5.What is 3³? =
  6. 6.What amount will ₹8300 grow to in 1 year at 4% per year compound interest (in ₹)?
  7. 7.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  8. 8.Solve: 9x + 6 = 2x + 41. What is x?
  9. 9.3.1 × 10⁴ =
  10. 10.What is the value of 2¹¹? =
  11. 11.The sum of four consecutive whole numbers is 226. What is the largest of them?
  12. 12.How many whole numbers lie between 30² and 31²?
  13. 13.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 39².
  15. 15.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  16. 16.What is the smallest whole number by which 24 must be multiplied to get a perfect square?
  17. 17.Use (a + b)(a − b) = a² − b² to find 97 × 83.
  18. 18.How many whole numbers lie between 34² and 35²?
  19. 19.A trapezium has parallel sides of 13 cm and 16 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  20. 20.What amount will ₹11900 grow to in 1 year at 8% per year compound interest (in ₹)?
  21. 21.What is the value of (8/9)⁻¹? =
  22. 22.Find the value of x² − 2xy + y² when x = 12 and y = 10.
  23. 23.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  24. 24.What is ∛343? =
  25. 25.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  26. 26.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  27. 27.Use (a − b)² = a² − 2ab + b² to find 64².
  28. 28.Which of these is a perfect cube? (a) 397 (b) 444 (c) 343
  29. 29.A square garden has an area of 1681 square m. How long is each side (in m)?
  30. 30.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  31. 31.What is the value of 2¹²? =
  32. 32.What is √441? =
  33. 33.What is 22²? =
  34. 34.Find the compound interest on ₹45200 at 15% per year for 2 years, compounded every year (in ₹).
  35. 35.A trapezium has an area of 30 square cm. Its parallel sides are 10 cm and 5 cm. What is the distance between them (in cm)?
  36. 36.A square garden has an area of 1521 square m. How long is each side (in m)?
  37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect square? (a) 1153 (b) 1089 (c) 1119
  39. 39.What is √2401? =
  40. 40.Use (a + b)(a − b) = a² − b² to find 28 × 12.

Answer key

  1. 8
  2. 364
  3. 32
  4. 125
  5. 27
  6. 8632
  7. 1350
  8. 5
  9. 31000
  10. 2048
  11. 58
  12. 60
  13. 5
  14. 1521
  15. 2
  16. 6
  17. 8051
  18. 68
  19. 116
  20. 12852
  21. 9/8
  22. 4
  23. 100
  24. 7
  25. 9
  26. 12
  27. 4096
  28. 343
  29. 41
  30. 3
  31. 4096
  32. 21
  33. 484
  34. 14577
  35. 4
  36. 39
  37. 9
  38. 1089
  39. 49
  40. 336

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