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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 747 · 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 value of 2⁵ × 2⁻⁶? =
  2. 2.What is 88²? =
  3. 3.What is √1936? =
  4. 4.How many whole numbers lie between 5² and 6²?
  5. 5.Solve: 3n + 11 = 2n + 15. What is n?
  6. 6.A cuboid is 15 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  7. 7.The sum of two consecutive whole numbers is 87. What is the largest of them?
  8. 8.What is 13²? =
  9. 9.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  10. 10.What is the value of 3⁷? =
  11. 11.What amount will ₹56000 grow to in 2 years at 15% per year compound interest (in ₹)?
  12. 12.What is the difference between the compound interest and the simple interest on ₹15000 at 8% per year for 2 years (in ₹)?
  13. 13.What is ∛1331? =
  14. 14.Solve: y/3 + y/4 = 56. What is y?
  15. 15.Solve: 3(x − 2) = 2x + 5. What is x?
  16. 16.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  17. 17.What is the value of 2¹⁶? =
  18. 18.What is the smallest whole number by which 243 must be multiplied to get a perfect square?
  19. 19.Find the compound interest on ₹29200 at 5% per year for 2 years, compounded every year (in ₹).
  20. 20.Which of these is a perfect cube? (a) 473 (b) 484 (c) 343
  21. 21.Solve: 5(y − 5) = y + 3. What is y?
  22. 22.A cuboid is 6 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.If a − b = 3 and ab = 10, what is a² + b²?
  25. 25.A cuboid is 5 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  26. 26.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  27. 27.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  28. 28.If a + b = 12 and ab = 32, what is a² + b²?
  29. 29.What is the value of 3⁶? =
  30. 30.What is the value of 2⁵ × 2⁻⁵? =
  31. 31.What is the difference between the compound interest and the simple interest on ₹28500 at 20% per year for 2 years (in ₹)?
  32. 32.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 24².
  34. 34.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  35. 35.What amount will ₹24000 grow to in 3 years at 15% per year compound interest (in ₹)?
  36. 36.Which of these is a perfect square? (a) 258 (b) 256 (c) 263
  37. 37.If a − b = 2 and ab = 15, what is a² + b²?
  38. 38.Which of these is a perfect cube? (a) 216 (b) 280 (c) 255
  39. 39.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  40. 40.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?

Answer key

  1. 1/2
  2. 7744
  3. 44
  4. 10
  5. 4
  6. 234
  7. 44
  8. 169
  9. 625
  10. 2187
  11. 74060
  12. 96
  13. 11
  14. 96
  15. 11
  16. 120
  17. 65536
  18. 3
  19. 2993
  20. 343
  21. 7
  22. 258
  23. 120
  24. 29
  25. 190
  26. 16
  27. 4
  28. 80
  29. 729
  30. 1
  31. 1140
  32. 441
  33. 576
  34. 36
  35. 36501
  36. 256
  37. 34
  38. 216
  39. 7
  40. 294

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