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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 152 · 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 86².
  2. 2.Solve: p/3 + p/5 = 8. What is p?
  3. 3.Use (a + b)(a − b) = a² − b² to find 93 × 87.
  4. 4.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  5. 5.Write 5² × 5² as a single power 5ⁿ. What is n?
  6. 6.4.9 × 10² =
  7. 7.Which of these is a perfect cube? (a) 729 (b) 730 (c) 735
  8. 8.Use a² − b² = (a + b)(a − b) to find 99² − 65².
  9. 9.Solve: 4(n − 3) = n + 15. What is n?
  10. 10.What is ∛10648? =
  11. 11.What is the value of 3⁻¹ (as a fraction)? =
  12. 12.A cuboid is 6 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  13. 13.Write 7.7 × 10⁻² as a decimal. =
  14. 14.What is the value of 2¹⁶? =
  15. 15.3.4 × 10⁴ =
  16. 16.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  17. 17.If a + b = 5 and ab = 4, what is a² + b²?
  18. 18.What is the difference between the compound interest and the simple interest on ₹39100 at 10% per year for 2 years (in ₹)?
  19. 19.If a − b = 4 and ab = 77, what is a² + b²?
  20. 20.What is √676? =
  21. 21.Solve: n/5 + n/2 = 14. What is n?
  22. 22.What is the value of 10⁵ × 10⁻⁴? =
  23. 23.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  24. 24.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  25. 25.A town has 55000 people. The population grows by 12% every year. What will the population be after 2 years?
  26. 26.Solve: 3(p − 1) = p + 13. What is p?
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.Which of these is a perfect cube? (a) 2197 (b) 2704 (c) 2341
  29. 29.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  30. 30.A father is 33 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  31. 31.What is 49²? =
  32. 32.A square garden has an area of 289 square m. How long is each side (in m)?
  33. 33.Which of these is a perfect cube? (a) 125 (b) 190 (c) 148
  34. 34.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  35. 35.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  36. 36.What is the value of (1/2)⁻¹? =
  37. 37.Solve: 3(n − 4) = n + 18. What is n?
  38. 38.Find the compound interest on ₹10700 at 5% per year for 1 year, compounded every year (in ₹).
  39. 39.Which of these is a perfect square? (a) 306 (b) 314 (c) 289
  40. 40.What is ∛8? =

Answer key

  1. 7396
  2. 15
  3. 8091
  4. 3
  5. 4
  6. 490
  7. 729
  8. 5576
  9. 9
  10. 22
  11. 1/3
  12. 234
  13. 0.077
  14. 65536
  15. 34000
  16. 81
  17. 17
  18. 391
  19. 170
  20. 26
  21. 20
  22. 10
  23. 8
  24. 25
  25. 68992
  26. 8
  27. 8
  28. 2197
  29. 16
  30. 8
  31. 2401
  32. 17
  33. 125
  34. 16
  35. 600
  36. 2
  37. 15
  38. 535
  39. 289
  40. 2

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