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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 881 · 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.Find the compound interest on ₹16800 at 5% per year for 2 years, compounded every year (in ₹).
  2. 2.What is the value of 9⁴? =
  3. 3.Use (a + b)² = a² + 2ab + b² to find 62².
  4. 4.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  5. 5.What is 4³? =
  6. 6.What is 36²? =
  7. 7.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is ∛1000? =
  9. 9.A cuboid is 15 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  10. 10.If a + b = 14 and ab = 45, what is a² + b²?
  11. 11.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  12. 12.Use a² − b² = (a + b)(a − b) to find 20² − 18².
  13. 13.What is the value of 2⁶? =
  14. 14.What is ∛15625? =
  15. 15.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  16. 16.What is the value of 5¹ × 5⁻³? =
  17. 17.What is the value of 3⁶ × 3⁻²? =
  18. 18.Use (a + b)² = a² + 2ab + b² to find 94².
  19. 19.What is the smallest whole number by which 810 must be divided to get a perfect square?
  20. 20.If a + b = 3 and ab = 2, what is a² + b²?
  21. 21.Use (a + b)² = a² + 2ab + b² to find 74².
  22. 22.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  23. 23.What is the value of 2² × 2⁻²? =
  24. 24.Solve: 8y + 18 = y + 74. What is y?
  25. 25.What is the difference between the compound interest and the simple interest on ₹46300 at 20% per year for 2 years (in ₹)?
  26. 26.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.What is the value of 3⁻⁴ (as a fraction)? =
  28. 28.Use (a − b)² = a² − 2ab + b² to find 49².
  29. 29.Solve: 4x + 5 = 2x + 25. What is x?
  30. 30.What is √9604? =
  31. 31.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  32. 32.A town has 31200 people. The population grows by 15% every year. What will the population be after 2 years?
  33. 33.What is the value of 7⁵? =
  34. 34.What is the smallest whole number by which 567 must be multiplied to get a perfect square?
  35. 35.A trapezium has parallel sides of 8 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  36. 36.Write 7.7 × 10⁻¹ as a decimal. =
  37. 37.Use (a + b)(a − b) = a² − b² to find 28 × 12.
  38. 38.What is the value of 4⁵? =
  39. 39.What is √3969? =
  40. 40.Use a² − b² = (a + b)(a − b) to find 96² − 48².

Answer key

  1. 1722
  2. 6561
  3. 3844
  4. 49
  5. 64
  6. 1296
  7. 125
  8. 10
  9. 270
  10. 106
  11. 18
  12. 76
  13. 64
  14. 25
  15. 3
  16. 1/25
  17. 81
  18. 8836
  19. 10
  20. 5
  21. 5476
  22. 12
  23. 1
  24. 8
  25. 1852
  26. 108
  27. 1/81
  28. 2401
  29. 10
  30. 98
  31. 3
  32. 41262
  33. 16807
  34. 7
  35. 288
  36. 0.77
  37. 336
  38. 1024
  39. 63
  40. 6912

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