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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 32 · 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.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  2. 2.What amount will ₹10000 grow to in 2 years at 8% per year compound interest (in ₹)?
  3. 3.What is the value of 2⁻⁷ (as a fraction)? =
  4. 4.Find the compound interest on ₹40000 at 15% per year for 3 years, compounded every year (in ₹).
  5. 5.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  6. 6.Use (a − b)² = a² − 2ab + b² to find 22².
  7. 7.Use (a − b)² = a² − 2ab + b² to find 49².
  8. 8.What is 81²? =
  9. 9.What amount will ₹35900 grow to in 2 years at 10% per year compound interest (in ₹)?
  10. 10.A cuboid is 5 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  11. 11.How many whole numbers lie between 8² and 9²?
  12. 12.What amount will ₹7500 grow to in 2 years at 4% per year compound interest (in ₹)?
  13. 13.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  14. 14.What is the value of 5³ × 5⁻⁵? =
  15. 15.Use (a − b)² = a² − 2ab + b² to find 52².
  16. 16.What is 4³? =
  17. 17.What is 9³? =
  18. 18.Write 2¹⁴ ÷ 2⁶ as a single power 2ⁿ. What is n?
  19. 19.What is the value of (1/4)⁻¹? =
  20. 20.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.What is the smallest whole number by which 80 must be multiplied to get a perfect square?
  22. 22.Find the value of x² − 2xy + y² when x = 4 and y = 1.
  23. 23.Solve: y/2 + y/3 = 10. What is y?
  24. 24.What amount will ₹28800 grow to in 3 years at 25% per year compound interest (in ₹)?
  25. 25.A cuboid is 3 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  26. 26.The diagonals of a rhombus are 6 cm and 19 cm. What is its area (in square cm)?
  27. 27.If a − b = 8 and ab = 9, what is a² + b²?
  28. 28.Use (a − b)² = a² − 2ab + b² to find 46².
  29. 29.If a + b = 22 and ab = 120, what is a² + b²?
  30. 30.Use (a + b)(a − b) = a² − b² to find 106 × 94.
  31. 31.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  32. 32.What is 61²? =
  33. 33.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  34. 34.What is the value of 5¹ × 5⁻⁴? =
  35. 35.A cuboid is 9 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.A cuboid is 10 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  37. 37.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.The length of a rectangle is 7 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  39. 39.Write (8⁵)⁷ as a single power 8ⁿ. What is n?
  40. 40.The sum of two consecutive whole numbers is 109. What is the largest of them?

Answer key

  1. 8
  2. 11664
  3. 1/128
  4. 20835
  5. 7
  6. 484
  7. 2401
  8. 6561
  9. 43439
  10. 142
  11. 16
  12. 8112
  13. 9
  14. 1/25
  15. 2704
  16. 64
  17. 729
  18. 8
  19. 4
  20. 27
  21. 5
  22. 9
  23. 12
  24. 56250
  25. 346
  26. 57
  27. 82
  28. 2116
  29. 244
  30. 9964
  31. 4
  32. 3721
  33. 14
  34. 1/125
  35. 168
  36. 256
  37. 125
  38. 22
  39. 35
  40. 55

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