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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 690 · 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.What is 17³? =
  2. 2.Find the compound interest on ₹15000 at 4% per year for 2 years, compounded every year (in ₹).
  3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  4. 4.What is the value of 5⁶? =
  5. 5.A trapezium has parallel sides of 28 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  6. 6.Solve: t/4 + t/3 = 56. What is t?
  7. 7.What is 14³? =
  8. 8.What is the value of 4⁴? =
  9. 9.Find the compound interest on ₹12900 at 8% per year for 1 year, compounded every year (in ₹).
  10. 10.Find the compound interest on ₹2800 at 12% per year for 1 year, compounded every year (in ₹).
  11. 11.Find the compound interest on ₹58800 at 25% per year for 2 years, compounded every year (in ₹).
  12. 12.A scooter is worth ₹37400. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  13. 13.What is the value of 3⁵ × 3⁻²? =
  14. 14.What is 7³? =
  15. 15.Use (a + b)² = a² + 2ab + b² to find 59².
  16. 16.Solve: 4(m − 1) = 3m + 4. What is m?
  17. 17.What is the value of 5⁵ × 5⁻³? =
  18. 18.Use a² − b² = (a + b)(a − b) to find 63² − 18².
  19. 19.What is the value of 8⁴? =
  20. 20.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?
  21. 21.Find the compound interest on ₹9600 at 5% per year for 2 years, compounded every year (in ₹).
  22. 22.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  23. 23.A trapezium has parallel sides of 16 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  24. 24.A scooter is worth ₹35000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
  25. 25.Find the compound interest on ₹3600 at 5% per year for 2 years, compounded every year (in ₹).
  26. 26.What amount will ₹47800 grow to in 1 year at 25% per year compound interest (in ₹)?
  27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  28. 28.A trapezium has parallel sides of 16 cm and 28 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  29. 29.Write 4¹⁶ ÷ 4⁷ as a single power 4ⁿ. What is n?
  30. 30.What is √900? =
  31. 31.What is 15³? =
  32. 32.Solve: 5(y − 2) = y + 14. What is y?
  33. 33.Write 6.6 × 10⁻² as a decimal. =
  34. 34.Find the compound interest on ₹59600 at 5% per year for 2 years, compounded every year (in ₹).
  35. 35.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  36. 36.How many whole numbers lie between 27² and 28²?
  37. 37.Use (a − b)² = a² − 2ab + b² to find 77².
  38. 38.Find the value of x² + 2xy + y² when x = 3 and y = 1.
  39. 39.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  40. 40.What amount will ₹12000 grow to in 3 years at 10% per year compound interest (in ₹)?

Answer key

  1. 4913
  2. 1224
  3. 14
  4. 15625
  5. 165
  6. 96
  7. 2744
  8. 256
  9. 1032
  10. 336
  11. 33075
  12. 28050
  13. 27
  14. 343
  15. 3481
  16. 8
  17. 25
  18. 3645
  19. 4096
  20. 182
  21. 984
  22. 6
  23. 170
  24. 27104
  25. 369
  26. 59750
  27. 2
  28. 110
  29. 9
  30. 30
  31. 3375
  32. 6
  33. 0.066
  34. 6109
  35. 4
  36. 54
  37. 5929
  38. 16
  39. 2646
  40. 15972

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