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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 28 · 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 the smallest whole number by which 576 must be divided to get a perfect cube?
  2. 2.The diagonals of a rhombus are 10 cm and 26 cm. What is its area (in square cm)?
  3. 3.What is the value of 6⁻¹ (as a fraction)? =
  4. 4.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  5. 5.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  6. 6.What is √961? =
  7. 7.What amount will ₹18900 grow to in 1 year at 5% per year compound interest (in ₹)?
  8. 8.Solve: 3n + 10 = 2n + 25. What is n?
  9. 9.The sum of three consecutive whole numbers is 36. What is the smallest of them?
  10. 10.Find the value of x² + 2xy + y² when x = 14 and y = 13.
  11. 11.What is the value of 2⁸? =
  12. 12.What is √5929? =
  13. 13.The sum of three consecutive whole numbers is 174. What is the largest of them?
  14. 14.What is the smallest whole number by which 240 must be divided to get a perfect square?
  15. 15.What is the value of 10⁻² (as a fraction)? =
  16. 16.What amount will ₹41200 grow to in 2 years at 15% per year compound interest (in ₹)?
  17. 17.A cuboid is 12 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  18. 18.What is 87²? =
  19. 19.Find the compound interest on ₹8600 at 10% per year for 2 years, compounded every year (in ₹).
  20. 20.What amount will ₹21000 grow to in 3 years at 10% per year compound interest (in ₹)?
  21. 21.What is the value of 8²? =
  22. 22.What is 77²? =
  23. 23.What amount will ₹55700 grow to in 1 year at 15% per year compound interest (in ₹)?
  24. 24.What amount will ₹15000 grow to in 2 years at 4% per year compound interest (in ₹)?
  25. 25.Which of these is a perfect cube? (a) 1728 (b) 1866 (c) 1737
  26. 26.Write 2.8 × 10⁻¹ as a decimal. =
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.What is ∛1728? =
  30. 30.Solve: 5m + 13 = 2m + 16. What is m?
  31. 31.What is 19³? =
  32. 32.The diagonals of a rhombus are 20 cm and 9 cm. What is its area (in square cm)?
  33. 33.Write 4³ × 4² as a single power 4ⁿ. What is n?
  34. 34.Find the compound interest on ₹30300 at 20% per year for 2 years, compounded every year (in ₹).
  35. 35.A trapezium has parallel sides of 13 cm and 22 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  36. 36.What is ∛64? =
  37. 37.Find the compound interest on ₹26100 at 4% per year for 1 year, compounded every year (in ₹).
  38. 38.Find the value of x² + 2xy + y² when x = 10 and y = 6.
  39. 39.Use (a − b)² = a² − 2ab + b² to find 36².
  40. 40.What is the smallest whole number by which 44 must be multiplied to get a perfect square?

Answer key

  1. 9
  2. 130
  3. 1/6
  4. 49
  5. 7
  6. 31
  7. 19845
  8. 15
  9. 11
  10. 729
  11. 256
  12. 77
  13. 59
  14. 15
  15. 1/100
  16. 54487
  17. 192
  18. 7569
  19. 1806
  20. 27951
  21. 64
  22. 5929
  23. 64055
  24. 16224
  25. 1728
  26. 0.28
  27. 8
  28. 60
  29. 12
  30. 1
  31. 6859
  32. 90
  33. 5
  34. 13332
  35. 210
  36. 4
  37. 1044
  38. 256
  39. 1296
  40. 11

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