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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 806 · 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.Solve: 4(m − 4) = 3m + 12. What is m?
  2. 2.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  3. 3.What is ∛4096? =
  4. 4.Use (a + b)² = a² + 2ab + b² to find 41².
  5. 5.The sum of four consecutive whole numbers is 166. What is the smallest of them?
  6. 6.Find the compound interest on ₹47500 at 25% per year for 1 year, compounded every year (in ₹).
  7. 7.What amount will ₹29500 grow to in 1 year at 20% per year compound interest (in ₹)?
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What amount will ₹31000 grow to in 3 years at 10% per year compound interest (in ₹)?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 44².
  11. 11.A cuboid is 13 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  12. 12.What is √9604? =
  13. 13.Solve: 5n + 8 = 2n + 50. What is n?
  14. 14.Find the value of x² − y² when x = 3 and y = 1.
  15. 15.What is the value of (2/3)⁻¹? =
  16. 16.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  17. 17.Write 3.9 × 10⁻¹ as a decimal. =
  18. 18.A trapezium has parallel sides of 13 cm and 9 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  19. 19.What is 9³? =
  20. 20.How many whole numbers lie between 10² and 11²?
  21. 21.What is ∛12167? =
  22. 22.Which of these is a perfect cube? (a) 107 (b) 71 (c) 64
  23. 23.What is √2809? =
  24. 24.Use (a + b)(a − b) = a² − b² to find 103 × 97.
  25. 25.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  26. 26.Use a² − b² = (a + b)(a − b) to find 59² − 42².
  27. 27.What is 5³? =
  28. 28.A scooter is worth ₹51200. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  29. 29.If a − b = 3 and ab = 18, what is a² + b²?
  30. 30.What is the value of 3¹ × 3⁻⁵? =
  31. 31.What is the value of 6⁴? =
  32. 32.Use (a + b)² = a² + 2ab + b² to find 57².
  33. 33.Write 8⁹ × 8⁶ as a single power 8ⁿ. What is n?
  34. 34.What is ∛3375? =
  35. 35.What is √2916? =
  36. 36.What is ∛5832? =
  37. 37.3.9 × 10⁷ =
  38. 38.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
  39. 39.What is the value of 3⁶ × 3⁻¹? =
  40. 40.What is the value of 10¹ × 10⁻⁵? =

Answer key

  1. 28
  2. 5
  3. 16
  4. 1681
  5. 40
  6. 11875
  7. 35400
  8. 8
  9. 41261
  10. 1936
  11. 292
  12. 98
  13. 14
  14. 8
  15. 3/2
  16. 12
  17. 0.39
  18. 33
  19. 729
  20. 20
  21. 23
  22. 64
  23. 53
  24. 9991
  25. 72
  26. 1717
  27. 125
  28. 46208
  29. 45
  30. 1/81
  31. 1296
  32. 3249
  33. 15
  34. 15
  35. 54
  36. 18
  37. 39000000
  38. 16
  39. 243
  40. 1/10000

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