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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 422 · 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.Which of these is a perfect square? (a) 962 (b) 1021 (c) 961
  2. 2.What is the value of 9⁻³ (as a fraction)? =
  3. 3.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  4. 4.Find the value of x² + 2xy + y² when x = 4 and y = 2.
  5. 5.Use (a + b)² = a² + 2ab + b² to find 63².
  6. 6.What is ∛8? =
  7. 7.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  8. 8.Use (a + b)² = a² + 2ab + b² to find 82².
  9. 9.What amount will ₹5000 grow to in 2 years at 4% per year compound interest (in ₹)?
  10. 10.A scooter is worth ₹8000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  11. 11.A town has 22500 people. The population grows by 4% every year. What will the population be after 2 years?
  12. 12.Find the compound interest on ₹16300 at 5% per year for 1 year, compounded every year (in ₹).
  13. 13.What is 71²? =
  14. 14.Find the value of x² − y² when x = 6 and y = 4.
  15. 15.Write 2,400 in standard form as 2.4 × 10ⁿ. What is n?
  16. 16.Which of these is a perfect cube? (a) 181 (b) 152 (c) 125
  17. 17.What is the value of (1/2)⁻¹? =
  18. 18.Use a² − b² = (a + b)(a − b) to find 58² − 18².
  19. 19.What is the value of 2⁴ × 2⁻⁵? =
  20. 20.A square garden has an area of 484 square m. How long is each side (in m)?
  21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  22. 22.If a − b = 6 and ab = 55, what is a² + b²?
  23. 23.Solve: 3(t − 5) = 2t + 12. What is t?
  24. 24.What is the value of 2⁸? =
  25. 25.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  26. 26.What is the value of 2⁵? =
  27. 27.What is ∛729? =
  28. 28.What is the value of 9⁵? =
  29. 29.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  30. 30.What is 30²? =
  31. 31.Find the compound interest on ₹22200 at 20% per year for 1 year, compounded every year (in ₹).
  32. 32.Find the value of x² − 2xy + y² when x = 8 and y = 1.
  33. 33.What is the value of (2/9)⁻¹? =
  34. 34.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  35. 35.What is √400? =
  36. 36.Solve: y/4 + y/6 = 5. What is y?
  37. 37.A cuboid is 11 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.Solve: 4p + 14 = p + 23. What is p?
  39. 39.Find the value of x² − 2xy + y² when x = 12 and y = 10.
  40. 40.What is the difference between the compound interest and the simple interest on ₹36100 at 10% per year for 2 years (in ₹)?

Answer key

  1. 961
  2. 1/729
  3. 100
  4. 36
  5. 3969
  6. 2
  7. 4
  8. 6724
  9. 5408
  10. 6859
  11. 24336
  12. 815
  13. 5041
  14. 20
  15. 3
  16. 125
  17. 2
  18. 3040
  19. 1/2
  20. 22
  21. 16
  22. 146
  23. 27
  24. 256
  25. 2
  26. 32
  27. 9
  28. 59049
  29. 121
  30. 900
  31. 4440
  32. 49
  33. 9/2
  34. 14
  35. 20
  36. 12
  37. 200
  38. 3
  39. 4
  40. 361

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