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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 336 · 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 a² − b² = (a + b)(a − b) to find 68² − 4².
  2. 2.A cuboid is 3 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  3. 3.What is 87²? =
  4. 4.4.8 × 10⁶ =
  5. 5.How many whole numbers lie between 19² and 20²?
  6. 6.Solve: 3m + 1 = m + 9. What is m?
  7. 7.What is the value of 10⁴ × 10⁻³? =
  8. 8.What is the value of 2⁶ × 2⁻⁵? =
  9. 9.A square garden has an area of 729 square m. How long is each side (in m)?
  10. 10.What is 3³? =
  11. 11.Write 5⁴ × 5³ as a single power 5ⁿ. What is n?
  12. 12.What is the difference between the compound interest and the simple interest on ₹50400 at 15% per year for 2 years (in ₹)?
  13. 13.What is the value of 2⁻³ (as a fraction)? =
  14. 14.What is √1156? =
  15. 15.Use a² − b² = (a + b)(a − b) to find 79² − 64².
  16. 16.Which of these is a perfect cube? (a) 2197 (b) 2202 (c) 2677
  17. 17.Write (8⁸)⁵ as a single power 8ⁿ. What is n?
  18. 18.What is √9216? =
  19. 19.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  20. 20.Find the compound interest on ₹25600 at 25% per year for 3 years, compounded every year (in ₹).
  21. 21.Write 190 in standard form as 1.9 × 10ⁿ. What is n?
  22. 22.Solve: y/5 + y/3 = 56. What is y?
  23. 23.What amount will ₹3700 grow to in 1 year at 20% per year compound interest (in ₹)?
  24. 24.What is the value of 2⁴ × 2⁻³? =
  25. 25.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  26. 26.What is the value of 2²? =
  27. 27.9.4 × 10³ =
  28. 28.Solve: 4(y − 3) = 3y + 10. What is y?
  29. 29.A scooter is worth ₹10000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
  30. 30.Find the compound interest on ₹15000 at 4% per year for 2 years, compounded every year (in ₹).
  31. 31.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  33. 33.What is the value of 2³? =
  34. 34.Find the value of x² + 2xy + y² when x = 6 and y = 1.
  35. 35.What is ∛10648? =
  36. 36.What is 55²? =
  37. 37.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  38. 38.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  39. 39.Write 6⁷ × 6⁹ as a single power 6ⁿ. What is n?
  40. 40.How many whole numbers lie between 30² and 31²?

Answer key

  1. 4608
  2. 138
  3. 7569
  4. 4800000
  5. 38
  6. 4
  7. 10
  8. 2
  9. 27
  10. 27
  11. 7
  12. 1134
  13. 1/8
  14. 34
  15. 2145
  16. 2197
  17. 40
  18. 96
  19. 28
  20. 24400
  21. 2
  22. 105
  23. 4440
  24. 2
  25. 5
  26. 4
  27. 9400
  28. 22
  29. 7744
  30. 1224
  31. 100
  32. 12
  33. 8
  34. 49
  35. 22
  36. 3025
  37. 13
  38. 16
  39. 16
  40. 60

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