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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 230 · 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.Use (a − b)² = a² − 2ab + b² to find 97².
  2. 2.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
  3. 3.Which of these is a perfect square? (a) 1369 (b) 1397 (c) 1401
  4. 4.Use (a − b)² = a² − 2ab + b² to find 14².
  5. 5.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  6. 6.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  7. 7.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  8. 8.Solve: m/3 + m/2 = 15. What is m?
  9. 9.Which of these is a perfect cube? (a) 1728 (b) 1889 (c) 1846
  10. 10.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  11. 11.What is √3481? =
  12. 12.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  13. 13.What is √576? =
  14. 14.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.Solve: 5(x − 4) = 3x + 6. What is x?
  16. 16.Which of these is a perfect cube? (a) 125 (b) 152 (c) 140
  17. 17.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  19. 19.Solve: 4(n − 2) = 2n + 10. What is n?
  20. 20.What is 48²? =
  21. 21.If a − b = 1 and ab = 12, what is a² + b²?
  22. 22.What is ∛4913? =
  23. 23.What is 12²? =
  24. 24.Which of these is a perfect square? (a) 451 (b) 441 (c) 480
  25. 25.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
  26. 26.If a − b = 3 and ab = 70, what is a² + b²?
  27. 27.A trapezium has parallel sides of 20 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  28. 28.Which of these is a perfect square? (a) 121 (b) 139 (c) 126
  29. 29.What is the difference between the compound interest and the simple interest on ₹29600 at 15% per year for 2 years (in ₹)?
  30. 30.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  31. 31.Write 5¹¹ ÷ 5⁷ as a single power 5ⁿ. What is n?
  32. 32.Solve: y/4 + y/2 = 6. What is y?
  33. 33.What is 17²? =
  34. 34.What is √6561? =
  35. 35.Solve: 3(m − 1) = m + 11. What is m?
  36. 36.What is the difference between the compound interest and the simple interest on ₹17500 at 4% per year for 2 years (in ₹)?
  37. 37.Which of these is a perfect square? (a) 503 (b) 484 (c) 518
  38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  39. 39.Use (a − b)² = a² − 2ab + b² to find 54².
  40. 40.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 9409
  2. 55566
  3. 1369
  4. 196
  5. 900
  6. 3
  7. 112
  8. 18
  9. 1728
  10. 2
  11. 59
  12. 14
  13. 24
  14. 8
  15. 13
  16. 125
  17. 20
  18. 15
  19. 9
  20. 2304
  21. 25
  22. 17
  23. 144
  24. 441
  25. 3816
  26. 149
  27. 264
  28. 121
  29. 666
  30. 49
  31. 4
  32. 8
  33. 289
  34. 81
  35. 7
  36. 28
  37. 484
  38. 8
  39. 2916
  40. 80

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