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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 30 · 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: 6(n − 1) = 5n + 5. What is n?
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.What is the value of 10³? =
  4. 4.A father is 54 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  5. 5.Write 2.9 × 10⁻² as a decimal. =
  6. 6.What is √5041? =
  7. 7.What is the difference between the compound interest and the simple interest on ₹11600 at 5% per year for 2 years (in ₹)?
  8. 8.Find the compound interest on ₹47200 at 4% per year for 1 year, compounded every year (in ₹).
  9. 9.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  10. 10.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect square? (a) 429 (b) 400 (c) 425
  12. 12.Write 3.1 × 10⁻⁴ as a decimal. =
  13. 13.A father is 28 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  14. 14.Write 4,80,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  15. 15.What is the value of 2² × 2⁻²? =
  16. 16.What is ∛8? =
  17. 17.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  18. 18.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  19. 19.What is the difference between the compound interest and the simple interest on ₹60000 at 4% per year for 2 years (in ₹)?
  20. 20.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  21. 21.What is ∛4913? =
  22. 22.What is 88²? =
  23. 23.Which of these is a perfect cube? (a) 1331 (b) 1665 (c) 1624
  24. 24.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  25. 25.Write 3³ × 3⁸ as a single power 3ⁿ. What is n?
  26. 26.Find the value of x² − y² when x = 8 and y = 1.
  27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  28. 28.What is the difference between the compound interest and the simple interest on ₹40100 at 10% per year for 2 years (in ₹)?
  29. 29.Use a² − b² = (a + b)(a − b) to find 27² − 8².
  30. 30.If a − b = 3 and ab = 10, what is a² + b²?
  31. 31.What is 77²? =
  32. 32.How many whole numbers lie between 15² and 16²?
  33. 33.Use (a + b)(a − b) = a² − b² to find 34 × 26.
  34. 34.A cuboid is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  35. 35.What is the value of (1/4)⁻²? =
  36. 36.The sum of four consecutive whole numbers is 142. What is the smallest of them?
  37. 37.A square garden has an area of 400 square m. How long is each side (in m)?
  38. 38.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  39. 39.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  40. 40.What is the smallest whole number by which 500 must be divided to get a perfect cube?

Answer key

  1. 11
  2. 12
  3. 1000
  4. 10
  5. 0.029
  6. 71
  7. 29
  8. 1888
  9. 3
  10. 3
  11. 400
  12. 0.00031
  13. 12
  14. 7
  15. 1
  16. 2
  17. 1536
  18. 324
  19. 96
  20. 3
  21. 17
  22. 7744
  23. 1331
  24. 19
  25. 11
  26. 63
  27. 5
  28. 401
  29. 665
  30. 29
  31. 5929
  32. 30
  33. 884
  34. 472
  35. 16
  36. 34
  37. 20
  38. 441
  39. 17
  40. 4

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