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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 338 · 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)(a − b) = a² − b² to find 79 × 61.
  2. 2.Find the value of x² + 2xy + y² when x = 6 and y = 3.
  3. 3.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
  4. 4.Use (a + b)(a − b) = a² − b² to find 101 × 99.
  5. 5.Write 1,90,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  6. 6.A cuboid is 7 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  7. 7.How many whole numbers lie between 8² and 9²?
  8. 8.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  9. 9.What is 88²? =
  10. 10.How many whole numbers lie between 47² and 48²?
  11. 11.The sum of two consecutive whole numbers is 57. What is the largest of them?
  12. 12.What is the difference between the compound interest and the simple interest on ₹44000 at 10% per year for 2 years (in ₹)?
  13. 13.Which of these is a perfect square? (a) 366 (b) 361 (c) 368
  14. 14.Which of these is a perfect square? (a) 115 (b) 100 (c) 103
  15. 15.Use a² − b² = (a + b)(a − b) to find 60² − 31².
  16. 16.Solve: 3(n − 1) = 2n + 12. What is n?
  17. 17.Solve: 3y + 6 = 2y + 14. What is y?
  18. 18.Which of these is a perfect cube? (a) 1094 (b) 1000 (c) 1191
  19. 19.Solve: 6x + 6 = x + 66. What is x?
  20. 20.Which of these is a perfect square? (a) 1269 (b) 1225 (c) 1251
  21. 21.Which of these is a perfect square? (a) 961 (b) 1012 (c) 965
  22. 22.A cuboid is 6 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  23. 23.What is 61²? =
  24. 24.What is the value of 5⁷? =
  25. 25.Which of these is a perfect square? (a) 1296 (b) 1361 (c) 1355
  26. 26.What is the value of 4⁷? =
  27. 27.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  28. 28.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  29. 29.Solve: 6(t − 3) = 3t + 18. What is t?
  30. 30.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  31. 31.A town has 24000 people. The population grows by 5% every year. What will the population be after 3 years?
  32. 32.What is ∛12167? =
  33. 33.What is the smallest whole number by which 448 must be multiplied to get a perfect square?
  34. 34.What is the difference between the compound interest and the simple interest on ₹10000 at 4% per year for 2 years (in ₹)?
  35. 35.What is the difference between the compound interest and the simple interest on ₹22000 at 25% per year for 2 years (in ₹)?
  36. 36.What is the value of 10¹ × 10⁻³? =
  37. 37.What is 20³? =
  38. 38.A cuboid is 6 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  40. 40.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).

Answer key

  1. 4819
  2. 81
  3. 612
  4. 9999
  5. 7
  6. 382
  7. 16
  8. 19
  9. 7744
  10. 94
  11. 29
  12. 440
  13. 361
  14. 100
  15. 2639
  16. 15
  17. 8
  18. 1000
  19. 12
  20. 1225
  21. 961
  22. 248
  23. 3721
  24. 78125
  25. 1296
  26. 16384
  27. 49
  28. 14
  29. 12
  30. 80
  31. 27783
  32. 23
  33. 7
  34. 16
  35. 1375
  36. 1/100
  37. 8000
  38. 180
  39. 5
  40. 8334

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