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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 77 · 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.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?
  2. 2.Use (a + b)(a − b) = a² − b² to find 52 × 48.
  3. 3.A cuboid is 3 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  4. 4.Find the value of x² + 2xy + y² when x = 6 and y = 1.
  5. 5.What amount will ₹22500 grow to in 2 years at 8% per year compound interest (in ₹)?
  6. 6.Solve: 8t + 16 = 3t + 61. What is t?
  7. 7.A cuboid is 8 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  8. 8.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
  9. 9.What is ∛216? =
  10. 10.What is ∛1000? =
  11. 11.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.What is √1156? =
  16. 16.A trapezium has parallel sides of 8 cm and 28 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  17. 17.What is the difference between the compound interest and the simple interest on ₹55900 at 20% per year for 2 years (in ₹)?
  18. 18.Write 7² × 7² as a single power 7ⁿ. What is n?
  19. 19.Use (a + b)² = a² + 2ab + b² to find 87².
  20. 20.Solve: 5t + 15 = t + 43. What is t?
  21. 21.What is the smallest whole number by which 75 must be divided to get a perfect square?
  22. 22.Find the compound interest on ₹56000 at 5% per year for 3 years, compounded every year (in ₹).
  23. 23.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  24. 24.3.6 × 10⁶ =
  25. 25.What is 16³? =
  26. 26.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  27. 27.3.2 × 10⁶ =
  28. 28.Find the compound interest on ₹41200 at 25% per year for 1 year, compounded every year (in ₹).
  29. 29.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  30. 30.Find the value of x² + 2xy + y² when x = 14 and y = 6.
  31. 31.If a + b = 5 and ab = 4, what is a² + b²?
  32. 32.Which of these is a perfect cube? (a) 433 (b) 343 (c) 358
  33. 33.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  34. 34.What is 67²? =
  35. 35.What is the difference between the compound interest and the simple interest on ₹40400 at 5% per year for 2 years (in ₹)?
  36. 36.What is the value of 3³? =
  37. 37.Use (a − b)² = a² − 2ab + b² to find 37².
  38. 38.Use (a − b)² = a² − 2ab + b² to find 89².
  39. 39.Which of these is a perfect square? (a) 135 (b) 121 (c) 130
  40. 40.Solve: 5x + 14 = 4x + 17. What is x?

Answer key

  1. 17
  2. 2496
  3. 162
  4. 49
  5. 26244
  6. 9
  7. 92
  8. 3816
  9. 6
  10. 10
  11. 2
  12. 15
  13. 13
  14. 64
  15. 34
  16. 126
  17. 2236
  18. 4
  19. 7569
  20. 7
  21. 3
  22. 8827
  23. 729
  24. 3600000
  25. 4096
  26. 3
  27. 3200000
  28. 10300
  29. 42
  30. 400
  31. 17
  32. 343
  33. 841
  34. 4489
  35. 101
  36. 27
  37. 1369
  38. 7921
  39. 121
  40. 3

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