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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 668 · 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.The sum of three consecutive whole numbers is 159. What is the smallest of them?
  2. 2.Find the compound interest on ₹4200 at 25% per year for 1 year, compounded every year (in ₹).
  3. 3.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  4. 4.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.Write 7.8 × 10⁻² as a decimal. =
  6. 6.What is the difference between the compound interest and the simple interest on ₹31200 at 10% per year for 2 years (in ₹)?
  7. 7.Solve: 6(x − 4) = 3x + 39. What is x?
  8. 8.Write 3⁷ × 3⁹ as a single power 3ⁿ. What is n?
  9. 9.Which of these is a perfect cube? (a) 3907 (b) 3375 (c) 3554
  10. 10.What is 3³? =
  11. 11.Solve: 6(n − 1) = 2n + 46. What is n?
  12. 12.If a − b = 3 and ab = 4, what is a² + b²?
  13. 13.Find the compound interest on ₹57000 at 5% per year for 1 year, compounded every year (in ₹).
  14. 14.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
  15. 15.What is ∛10648? =
  16. 16.Solve: 6(m − 4) = 5m + 12. What is m?
  17. 17.Use a² − b² = (a + b)(a − b) to find 56² − 10².
  18. 18.What is ∛6859? =
  19. 19.What is the value of (1/5)⁻¹? =
  20. 20.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  21. 21.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.Solve: 5n + 14 = 3n + 24. What is n?
  23. 23.The sum of three consecutive whole numbers is 147. What is the largest of them?
  24. 24.What is the value of 2⁹? =
  25. 25.What is ∛216? =
  26. 26.The diagonals of a rhombus are 6 cm and 6 cm. What is its area (in square cm)?
  27. 27.How many whole numbers lie between 21² and 22²?
  28. 28.Solve: 3(y − 5) = 2y + 13. What is y?
  29. 29.Write (5⁷)⁴ as a single power 5ⁿ. What is n?
  30. 30.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  31. 31.What is the difference between the compound interest and the simple interest on ₹51800 at 10% per year for 2 years (in ₹)?
  32. 32.What amount will ₹14400 grow to in 3 years at 25% per year compound interest (in ₹)?
  33. 33.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  34. 34.Which of these is a perfect square? (a) 1257 (b) 1225 (c) 1258
  35. 35.What is 11³? =
  36. 36.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
  37. 37.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  38. 38.How many whole numbers lie between 18² and 19²?
  39. 39.Use (a + b)(a − b) = a² − b² to find 87 × 73.
  40. 40.Solve: 3(x − 1) = 2x + 10. What is x?

Answer key

  1. 52
  2. 1050
  3. 49
  4. 100
  5. 0.078
  6. 312
  7. 21
  8. 16
  9. 3375
  10. 27
  11. 13
  12. 17
  13. 2850
  14. 29169
  15. 22
  16. 36
  17. 3036
  18. 19
  19. 5
  20. 15
  21. 104
  22. 5
  23. 50
  24. 512
  25. 6
  26. 18
  27. 42
  28. 28
  29. 28
  30. 54
  31. 518
  32. 28125
  33. 49
  34. 1225
  35. 1331
  36. 5
  37. 12
  38. 36
  39. 6351
  40. 13

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