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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 500 · 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 ∛5832? =
  2. 2.Find the compound interest on ₹15000 at 4% per year for 2 years, compounded every year (in ₹).
  3. 3.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  4. 4.A father is 30 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  5. 5.What amount will ₹16800 grow to in 2 years at 10% per year compound interest (in ₹)?
  6. 6.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
  7. 7.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  8. 8.Write 9.1 × 10⁻³ as a decimal. =
  9. 9.Find the value of x² − y² when x = 4 and y = 2.
  10. 10.Solve: 5x + 12 = 4x + 25. What is x?
  11. 11.Write 4.6 × 10⁻² as a decimal. =
  12. 12.Use (a + b)² = a² + 2ab + b² to find 107².
  13. 13.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  14. 14.Write 36,00,000 in standard form as 3.6 × 10ⁿ. What is n?
  15. 15.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  16. 16.The sum of two consecutive whole numbers is 65. What is the smallest of them?
  17. 17.Which of these is a perfect square? (a) 1032 (b) 1024 (c) 1052
  18. 18.Write 5.5 × 10⁻³ as a decimal. =
  19. 19.What is the difference between the compound interest and the simple interest on ₹21600 at 20% per year for 2 years (in ₹)?
  20. 20.What is √9604? =
  21. 21.What is the smallest whole number by which 832 must be divided to get a perfect square?
  22. 22.How many whole numbers lie between 6² and 7²?
  23. 23.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  24. 24.8.8 × 10² =
  25. 25.If a + b = 17 and ab = 60, what is a² + b²?
  26. 26.Solve: x/2 + x/5 = 21. What is x?
  27. 27.Use a² − b² = (a + b)(a − b) to find 54² − 39².
  28. 28.The sum of two consecutive whole numbers is 31. What is the largest of them?
  29. 29.The sum of four consecutive whole numbers is 46. What is the smallest of them?
  30. 30.What amount will ₹23400 grow to in 1 year at 20% per year compound interest (in ₹)?
  31. 31.Find the compound interest on ₹45000 at 12% per year for 2 years, compounded every year (in ₹).
  32. 32.How many whole numbers lie between 32² and 33²?
  33. 33.Use (a + b)(a − b) = a² − b² to find 71 × 69.
  34. 34.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  36. 36.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What is 17³? =
  38. 38.8 × 10² =
  39. 39.Which of these is a perfect cube? (a) 149 (b) 129 (c) 125
  40. 40.What is the smallest whole number by which 90 must be multiplied to get a perfect square?

Answer key

  1. 18
  2. 1224
  3. 13
  4. 6
  5. 20328
  6. 8
  7. 5
  8. 0.0091
  9. 12
  10. 13
  11. 0.046
  12. 11449
  13. 144
  14. 6
  15. 4
  16. 32
  17. 1024
  18. 0.0055
  19. 864
  20. 98
  21. 13
  22. 12
  23. 676
  24. 880
  25. 169
  26. 30
  27. 1395
  28. 16
  29. 10
  30. 28080
  31. 11448
  32. 64
  33. 4899
  34. 7
  35. 14
  36. 64
  37. 4913
  38. 800
  39. 125
  40. 10

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