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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 293 · 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 town has 31600 people. The population grows by 15% every year. What will the population be after 1 year?
  2. 2.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
  3. 3.A town has 2000 people. The population grows by 10% every year. What will the population be after 3 years?
  4. 4.What is the value of 3³? =
  5. 5.What is √8464? =
  6. 6.A town has 6600 people. The population grows by 10% every year. What will the population be after 1 year?
  7. 7.A cuboid is 7 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  9. 9.Find the compound interest on ₹38800 at 4% per year for 1 year, compounded every year (in ₹).
  10. 10.A town has 45400 people. The population grows by 20% every year. What will the population be after 2 years?
  11. 11.Write 7⁵ ÷ 7² as a single power 7ⁿ. What is n?
  12. 12.6 × 10³ =
  13. 13.Use a² − b² = (a + b)(a − b) to find 77² − 38².
  14. 14.What is the value of 10⁴ × 10⁻⁴? =
  15. 15.A square garden has an area of 1156 square m. How long is each side (in m)?
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.What is the value of (3/8)⁻¹? =
  18. 18.Find the compound interest on ₹18400 at 15% per year for 2 years, compounded every year (in ₹).
  19. 19.What is 36²? =
  20. 20.A cuboid is 11 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  21. 21.What is ∛343? =
  22. 22.A square garden has an area of 961 square m. How long is each side (in m)?
  23. 23.Use (a + b)² = a² + 2ab + b² to find 105².
  24. 24.Which of these is a perfect square? (a) 347 (b) 348 (c) 324
  25. 25.Write 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  26. 26.What is 57²? =
  27. 27.Find the value of x² − y² when x = 4 and y = 1.
  28. 28.Solve: 8n + 6 = 4n + 62. What is n?
  29. 29.Use (a − b)² = a² − 2ab + b² to find 15².
  30. 30.A father is 21 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  31. 31.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  32. 32.A scooter is worth ₹8500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  33. 33.What is the value of 4³? =
  34. 34.Solve: 8p + 19 = 2p + 31. What is p?
  35. 35.What is √289? =
  36. 36.Find the value of x² + 2xy + y² when x = 8 and y = 2.
  37. 37.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  38. 38.Write 2¹⁰ ÷ 2⁶ as a single power 2ⁿ. What is n?
  39. 39.Write 4.3 × 10⁻¹ as a decimal. =
  40. 40.Find the value of x² − 2xy + y² when x = 11 and y = 2.

Answer key

  1. 36340
  2. 6
  3. 2662
  4. 27
  5. 92
  6. 7260
  7. 412
  8. 20
  9. 1552
  10. 65376
  11. 3
  12. 6000
  13. 4485
  14. 1
  15. 34
  16. 11
  17. 8/3
  18. 5934
  19. 1296
  20. 200
  21. 7
  22. 31
  23. 11025
  24. 324
  25. 3
  26. 3249
  27. 15
  28. 14
  29. 225
  30. 6
  31. 18
  32. 4352
  33. 64
  34. 2
  35. 17
  36. 100
  37. 2
  38. 4
  39. 0.43
  40. 81

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