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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 434 · 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 12².
  2. 2.Write 2⁸ × 2⁸ as a single power 2ⁿ. What is n?
  3. 3.A father is 45 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  4. 4.What is 4³? =
  5. 5.A trapezium has an area of 304 square cm. Its parallel sides are 17 cm and 21 cm. What is the distance between them (in cm)?
  6. 6.Solve: 4(m − 4) = 2m + 16. What is m?
  7. 7.Solve: y/5 + y/2 = 49. What is y?
  8. 8.What is ∛12167? =
  9. 9.What is 15³? =
  10. 10.Write 8.2 × 10⁻³ as a decimal. =
  11. 11.What is 25²? =
  12. 12.A scooter is worth ₹10700. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  13. 13.Find the compound interest on ₹50000 at 8% per year for 2 years, compounded every year (in ₹).
  14. 14.What is the difference between the compound interest and the simple interest on ₹32500 at 4% per year for 2 years (in ₹)?
  15. 15.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  16. 16.Solve: 3(x − 2) = x + 12. What is x?
  17. 17.Solve: 4(m − 1) = 2m + 4. What is m?
  18. 18.Find the value of x² − y² when x = 6 and y = 5.
  19. 19.Solve: 4x + 14 = x + 53. What is x?
  20. 20.Which of these is a perfect square? (a) 152 (b) 144 (c) 157
  21. 21.What is 31²? =
  22. 22.What is the value of 2¹ × 2⁻⁶? =
  23. 23.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  24. 24.Use a² − b² = (a + b)(a − b) to find 41² − 6².
  25. 25.Use (a + b)(a − b) = a² − b² to find 61 × 59.
  26. 26.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  27. 27.Use (a + b)² = a² + 2ab + b² to find 51².
  28. 28.Find the compound interest on ₹24800 at 5% per year for 2 years, compounded every year (in ₹).
  29. 29.What is 56²? =
  30. 30.Write 30,00,000 in standard form as 3 × 10ⁿ. What is n?
  31. 31.What is the value of 2⁻⁹ (as a fraction)? =
  32. 32.Write 3⁷ × 3⁵ as a single power 3ⁿ. What is n?
  33. 33.Which of these is a perfect cube? (a) 98 (b) 64 (c) 77
  34. 34.How many whole numbers lie between 34² and 35²?
  35. 35.Use (a − b)² = a² − 2ab + b² to find 17².
  36. 36.The diagonals of a rhombus are 12 cm and 13 cm. What is its area (in square cm)?
  37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  38. 38.Find the compound interest on ₹24600 at 12% per year for 1 year, compounded every year (in ₹).
  39. 39.Write 520 in standard form as 5.2 × 10ⁿ. What is n?
  40. 40.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?

Answer key

  1. 144
  2. 16
  3. 12
  4. 64
  5. 16
  6. 16
  7. 70
  8. 23
  9. 3375
  10. 0.0082
  11. 625
  12. 9095
  13. 8320
  14. 52
  15. 2
  16. 9
  17. 4
  18. 11
  19. 13
  20. 144
  21. 961
  22. 1/32
  23. 9
  24. 1645
  25. 3599
  26. 5
  27. 2601
  28. 2542
  29. 3136
  30. 6
  31. 1/512
  32. 12
  33. 64
  34. 68
  35. 289
  36. 78
  37. 22
  38. 2952
  39. 2
  40. 27783

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