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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 784 · 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: 5(y − 5) = y + 19. What is y?
  2. 2.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  3. 3.What is 23²? =
  4. 4.What is 17²? =
  5. 5.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  6. 6.Find the value of x² − 2xy + y² when x = 4 and y = 3.
  7. 7.What is the value of 6⁵? =
  8. 8.Use (a + b)² = a² + 2ab + b² to find 12².
  9. 9.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  10. 10.What is 11³? =
  11. 11.What is 25²? =
  12. 12.What is 10³? =
  13. 13.What is the difference between the compound interest and the simple interest on ₹6000 at 25% per year for 2 years (in ₹)?
  14. 14.What is the value of 3⁹? =
  15. 15.What is 58²? =
  16. 16.Solve: 6(t − 4) = 3t + 33. What is t?
  17. 17.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.What is √3364? =
  19. 19.Use (a − b)² = a² − 2ab + b² to find 64².
  20. 20.A cuboid is 3 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  21. 21.Find the compound interest on ₹18400 at 15% per year for 2 years, compounded every year (in ₹).
  22. 22.What is √900? =
  23. 23.Which of these is a perfect cube? (a) 129 (b) 133 (c) 125
  24. 24.What is the value of 2⁻⁹ (as a fraction)? =
  25. 25.A room is 9 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.Find the compound interest on ₹29600 at 15% per year for 1 year, compounded every year (in ₹).
  27. 27.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  28. 28.What is √6724? =
  29. 29.What is ∛1728? =
  30. 30.What is the value of 9⁵? =
  31. 31.A square garden has an area of 961 square m. How long is each side (in m)?
  32. 32.The sum of four consecutive whole numbers is 126. What is the smallest of them?
  33. 33.What is ∛8000? =
  34. 34.Use a² − b² = (a + b)(a − b) to find 32² − 21².
  35. 35.Use (a + b)² = a² + 2ab + b² to find 62².
  36. 36.What is the difference between the compound interest and the simple interest on ₹32000 at 25% per year for 2 years (in ₹)?
  37. 37.Use (a + b)² = a² + 2ab + b² to find 108².
  38. 38.Solve: t/2 + t/3 = 35. What is t?
  39. 39.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
  40. 40.Find the compound interest on ₹57500 at 4% per year for 2 years, compounded every year (in ₹).

Answer key

  1. 11
  2. 576
  3. 529
  4. 289
  5. 6
  6. 1
  7. 7776
  8. 144
  9. 23
  10. 1331
  11. 625
  12. 1000
  13. 375
  14. 19683
  15. 3364
  16. 19
  17. 104
  18. 58
  19. 4096
  20. 114
  21. 5934
  22. 30
  23. 125
  24. 1/512
  25. 150
  26. 4440
  27. 4
  28. 82
  29. 12
  30. 59049
  31. 31
  32. 30
  33. 20
  34. 583
  35. 3844
  36. 2000
  37. 11664
  38. 42
  39. 13
  40. 4692

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