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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 459 · 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 ∛27? =
  2. 2.What is the value of (5/6)⁻¹? =
  3. 3.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  4. 4.What is the value of 2⁷? =
  5. 5.How many whole numbers lie between 43² and 44²?
  6. 6.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  7. 7.What is the value of 2²? =
  8. 8.A scooter is worth ₹42000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  9. 9.What amount will ₹48500 grow to in 3 years at 20% per year compound interest (in ₹)?
  10. 10.How many whole numbers lie between 22² and 23²?
  11. 11.Solve: p/3 + p/4 = 42. What is p?
  12. 12.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  13. 13.Find the value of x² − y² when x = 15 and y = 10.
  14. 14.What amount will ₹20700 grow to in 1 year at 5% per year compound interest (in ₹)?
  15. 15.Write 44,00,000 in standard form as 4.4 × 10ⁿ. What is n?
  16. 16.What is ∛9261? =
  17. 17.Find the compound interest on ₹19600 at 25% per year for 2 years, compounded every year (in ₹).
  18. 18.What is √9216? =
  19. 19.What is the smallest whole number by which 640 must be multiplied to get a perfect square?
  20. 20.What is 9³? =
  21. 21.Use (a − b)² = a² − 2ab + b² to find 39².
  22. 22.Solve: 4m + 10 = 2m + 36. What is m?
  23. 23.Write 280 in standard form as 2.8 × 10ⁿ. What is n?
  24. 24.A scooter is worth ₹33300. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  25. 25.What is 7³? =
  26. 26.Solve: 9x + 14 = 5x + 54. What is x?
  27. 27.Solve: 4n + 2 = n + 5. What is n?
  28. 28.A square garden has an area of 2116 square m. How long is each side (in m)?
  29. 29.Write (4⁴)⁶ as a single power 4ⁿ. What is n?
  30. 30.Which of these is a perfect square? (a) 961 (b) 996 (c) 980
  31. 31.A father is 34 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  32. 32.How many whole numbers lie between 33² and 34²?
  33. 33.The diagonals of a rhombus are 30 cm and 23 cm. What is its area (in square cm)?
  34. 34.What is the value of 3²? =
  35. 35.What is 3³? =
  36. 36.What is the value of (4/7)⁻¹? =
  37. 37.Find the compound interest on ₹60000 at 10% per year for 3 years, compounded every year (in ₹).
  38. 38.Write 2.6 × 10⁻² as a decimal. =
  39. 39.Use (a − b)² = a² − 2ab + b² to find 97².
  40. 40.If a + b = 23 and ab = 132, what is a² + b²?

Answer key

  1. 3
  2. 6/5
  3. 10
  4. 128
  5. 86
  6. 3
  7. 4
  8. 30618
  9. 83808
  10. 44
  11. 72
  12. 18
  13. 125
  14. 21735
  15. 6
  16. 21
  17. 11025
  18. 96
  19. 10
  20. 729
  21. 1521
  22. 13
  23. 2
  24. 26640
  25. 343
  26. 10
  27. 1
  28. 46
  29. 24
  30. 961
  31. 12
  32. 66
  33. 345
  34. 9
  35. 27
  36. 7/4
  37. 19860
  38. 0.026
  39. 9409
  40. 265

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