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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 497 · 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.Use (a + b)² = a² + 2ab + b² to find 26².
  2. 2.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.What is ∛6859? =
  4. 4.A trapezium has an area of 24 square cm. Its parallel sides are 10 cm and 2 cm. What is the distance between them (in cm)?
  5. 5.Find the value of x² − 2xy + y² when x = 13 and y = 6.
  6. 6.What is the difference between the compound interest and the simple interest on ₹16300 at 10% per year for 2 years (in ₹)?
  7. 7.What is the value of 2⁶ × 2⁻⁵? =
  8. 8.What is the value of 2⁴ × 2⁻¹? =
  9. 9.Write (8²)⁵ as a single power 8ⁿ. What is n?
  10. 10.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  11. 11.If a − b = 4 and ab = 21, what is a² + b²?
  12. 12.Use (a + b)(a − b) = a² − b² to find 65 × 55.
  13. 13.Use (a + b)(a − b) = a² − b² to find 35 × 25.
  14. 14.The sum of two consecutive whole numbers is 59. What is the largest of them?
  15. 15.What is the value of 3⁶ × 3⁻⁶? =
  16. 16.Write 3,20,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  17. 17.Which of these is a perfect square? (a) 138 (b) 125 (c) 121
  18. 18.How many whole numbers lie between 12² and 13²?
  19. 19.What is the value of 3⁹? =
  20. 20.Solve: 6(t − 2) = 4t + 10. What is t?
  21. 21.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  22. 22.What is 44²? =
  23. 23.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  24. 24.A square garden has an area of 1024 square m. How long is each side (in m)?
  25. 25.What is the difference between the compound interest and the simple interest on ₹7500 at 4% per year for 2 years (in ₹)?
  26. 26.A trapezium has parallel sides of 16 cm and 15 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  27. 27.A father is 16 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  28. 28.What is √7225? =
  29. 29.What is the value of 5⁵ × 5⁻⁴? =
  30. 30.What is ∛27? =
  31. 31.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  32. 32.The diagonals of a rhombus are 6 cm and 18 cm. What is its area (in square cm)?
  33. 33.What is √8100? =
  34. 34.Find the compound interest on ₹29300 at 10% per year for 1 year, compounded every year (in ₹).
  35. 35.What is √2809? =
  36. 36.Find the compound interest on ₹40000 at 15% per year for 3 years, compounded every year (in ₹).
  37. 37.What is the value of 3¹ × 3⁻²? =
  38. 38.Find the compound interest on ₹47500 at 8% per year for 2 years, compounded every year (in ₹).
  39. 39.What is the value of 5⁷? =
  40. 40.What is the value of 9⁻³ (as a fraction)? =

Answer key

  1. 676
  2. 126
  3. 19
  4. 4
  5. 49
  6. 163
  7. 2
  8. 8
  9. 10
  10. 3174
  11. 58
  12. 3575
  13. 875
  14. 30
  15. 1
  16. 7
  17. 121
  18. 24
  19. 19683
  20. 11
  21. 12
  22. 1936
  23. 486
  24. 32
  25. 12
  26. 31
  27. 4
  28. 85
  29. 5
  30. 3
  31. 11
  32. 54
  33. 90
  34. 2930
  35. 53
  36. 20835
  37. 1/3
  38. 7904
  39. 78125
  40. 1/729

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