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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 455 · 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.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  2. 2.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  3. 3.What is the difference between the compound interest and the simple interest on ₹22500 at 12% per year for 2 years (in ₹)?
  4. 4.Find the compound interest on ₹9000 at 20% per year for 3 years, compounded every year (in ₹).
  5. 5.A town has 26100 people. The population grows by 15% every year. What will the population be after 1 year?
  6. 6.What is the value of 2⁻⁴ (as a fraction)? =
  7. 7.Solve: 4y + 14 = 2y + 18. What is y?
  8. 8.What is √1024? =
  9. 9.If a + b = 6 and ab = 8, what is a² + b²?
  10. 10.A trapezium has parallel sides of 24 cm and 2 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  11. 11.Use a² − b² = (a + b)(a − b) to find 88² − 43².
  12. 12.What is the value of (1/2)⁻¹? =
  13. 13.A father is 32 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  14. 14.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  15. 15.The sum of three consecutive whole numbers is 84. What is the smallest of them?
  16. 16.What is 13³? =
  17. 17.The diagonals of a rhombus are 18 cm and 9 cm. What is its area (in square cm)?
  18. 18.What is 63²? =
  19. 19.Solve: x/2 + x/3 = 35. What is x?
  20. 20.A cuboid is 10 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  21. 21.What is the value of (2/3)⁻¹? =
  22. 22.What is 35²? =
  23. 23.Write 2 × 10⁻⁴ as a decimal. =
  24. 24.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  25. 25.What is the value of 5⁶? =
  26. 26.A town has 56000 people. The population grows by 5% every year. What will the population be after 3 years?
  27. 27.What is the value of 6³? =
  28. 28.What is ∛1000? =
  29. 29.Which of these is a perfect cube? (a) 66 (b) 110 (c) 64
  30. 30.What is the smallest whole number by which 44 must be multiplied to get a perfect square?
  31. 31.Use (a + b)(a − b) = a² − b² to find 22 × 18.
  32. 32.Write 43,000 in standard form as 4.3 × 10ⁿ. What is n?
  33. 33.A town has 12500 people. The population grows by 10% every year. What will the population be after 1 year?
  34. 34.What is the value of (1/9)⁻²? =
  35. 35.The diagonals of a rhombus are 22 cm and 25 cm. What is its area (in square cm)?
  36. 36.What is the value of 2¹⁰? =
  37. 37.Which of these is a perfect cube? (a) 281 (b) 216 (c) 279
  38. 38.What is the value of 7²? =
  39. 39.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
  40. 40.Solve: 4(m − 1) = 3m + 12. What is m?

Answer key

  1. 5
  2. 3
  3. 324
  4. 6552
  5. 30015
  6. 1/16
  7. 2
  8. 32
  9. 20
  10. 65
  11. 5895
  12. 2
  13. 11
  14. 5
  15. 27
  16. 2197
  17. 81
  18. 3969
  19. 42
  20. 388
  21. 3/2
  22. 1225
  23. 0.0002
  24. 48
  25. 15625
  26. 64827
  27. 216
  28. 10
  29. 64
  30. 11
  31. 396
  32. 4
  33. 13750
  34. 81
  35. 275
  36. 1024
  37. 216
  38. 49
  39. 72
  40. 16

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