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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 654 · 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.A scooter is worth ₹10000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  2. 2.Use a² − b² = (a + b)(a − b) to find 34² − 10².
  3. 3.Find the compound interest on ₹52500 at 20% per year for 3 years, compounded every year (in ₹).
  4. 4.Use a² − b² = (a + b)(a − b) to find 96² − 64².
  5. 5.Write 9,000 in standard form as 9 × 10ⁿ. What is n?
  6. 6.Write 8⁷ × 8⁷ as a single power 8ⁿ. What is n?
  7. 7.What is the value of 5⁶? =
  8. 8.The sum of two consecutive whole numbers is 67. What is the largest of them?
  9. 9.Which of these is a perfect square? (a) 967 (b) 1017 (c) 961
  10. 10.What is ∛1000? =
  11. 11.How many whole numbers lie between 15² and 16²?
  12. 12.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  13. 13.The diagonals of a rhombus are 26 cm and 4 cm. What is its area (in square cm)?
  14. 14.What is the difference between the compound interest and the simple interest on ₹60000 at 8% per year for 2 years (in ₹)?
  15. 15.A room is 10 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.What amount will ₹35700 grow to in 1 year at 12% per year compound interest (in ₹)?
  17. 17.A father is 20 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  18. 18.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  19. 19.What is √6561? =
  20. 20.What is 84²? =
  21. 21.Solve: y/2 + y/4 = 24. What is y?
  22. 22.If a − b = 4 and ab = 5, what is a² + b²?
  23. 23.What is √7744? =
  24. 24.The sum of four consecutive whole numbers is 242. What is the smallest of them?
  25. 25.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  26. 26.What is the value of (1/9)⁻²? =
  27. 27.Use (a − b)² = a² − 2ab + b² to find 14².
  28. 28.Use (a + b)(a − b) = a² − b² to find 36 × 24.
  29. 29.A scooter is worth ₹56000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  30. 30.Use (a + b)² = a² + 2ab + b² to find 24².
  31. 31.Find the compound interest on ₹37700 at 8% per year for 1 year, compounded every year (in ₹).
  32. 32.What is ∛4913? =
  33. 33.Use (a − b)² = a² − 2ab + b² to find 28².
  34. 34.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  35. 35.What amount will ₹16400 grow to in 2 years at 25% per year compound interest (in ₹)?
  36. 36.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What amount will ₹14900 grow to in 1 year at 5% per year compound interest (in ₹)?
  38. 38.What is the value of 5⁴ × 5⁻⁶? =
  39. 39.Solve: 4(t − 3) = 3t + 10. What is t?
  40. 40.What is the smallest whole number by which 108 must be divided to get a perfect square?

Answer key

  1. 8464
  2. 1056
  3. 38220
  4. 5120
  5. 3
  6. 14
  7. 15625
  8. 34
  9. 961
  10. 10
  11. 30
  12. 3
  13. 52
  14. 384
  15. 90
  16. 39984
  17. 3
  18. 3
  19. 81
  20. 7056
  21. 32
  22. 26
  23. 88
  24. 59
  25. 15
  26. 81
  27. 196
  28. 864
  29. 48013
  30. 576
  31. 3016
  32. 17
  33. 784
  34. 8
  35. 25625
  36. 8
  37. 15645
  38. 1/25
  39. 22
  40. 3

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