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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 857 · 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 smallest whole number by which 343 must be multiplied to get a perfect square?
  2. 2.What is 5³? =
  3. 3.What is 3³? =
  4. 4.What is the value of 6³? =
  5. 5.What is 39²? =
  6. 6.What is 20³? =
  7. 7.Use (a + b)² = a² + 2ab + b² to find 98².
  8. 8.A square garden has an area of 144 square m. How long is each side (in m)?
  9. 9.Solve: m/6 + m/4 = 15. What is m?
  10. 10.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
  11. 11.What is 9³? =
  12. 12.What is 17³? =
  13. 13.Write 2¹⁴ ÷ 2⁹ as a single power 2ⁿ. What is n?
  14. 14.Find the value of x² + 2xy + y² when x = 11 and y = 8.
  15. 15.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  16. 16.Solve: n/3 + n/4 = 42. What is n?
  17. 17.A scooter is worth ₹46700. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  18. 18.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  19. 19.A trapezium has parallel sides of 9 cm and 25 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  20. 20.Solve: 3(n − 5) = n + 17. What is n?
  21. 21.7.6 × 10² =
  22. 22.Which of these is a perfect cube? (a) 449 (b) 436 (c) 343
  23. 23.What is 10³? =
  24. 24.What is the value of 9³? =
  25. 25.What is the value of (1/2)⁻²? =
  26. 26.What is ∛64? =
  27. 27.Find the compound interest on ₹55000 at 12% per year for 2 years, compounded every year (in ₹).
  28. 28.What is the smallest whole number by which 98 must be divided to get a perfect square?
  29. 29.Use (a + b)(a − b) = a² − b² to find 91 × 89.
  30. 30.What is √361? =
  31. 31.What is the value of 2⁻⁷ (as a fraction)? =
  32. 32.What is the value of 2⁻⁹ (as a fraction)? =
  33. 33.What is ∛3375? =
  34. 34.Which of these is a perfect square? (a) 756 (b) 736 (c) 729
  35. 35.A scooter is worth ₹15100. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
  36. 36.Solve: 4(x − 3) = 3x + 13. What is x?
  37. 37.A cuboid is 12 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  38. 38.What is √4900? =
  39. 39.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  40. 40.Use (a + b)² = a² + 2ab + b² to find 43².

Answer key

  1. 7
  2. 125
  3. 27
  4. 216
  5. 1521
  6. 8000
  7. 9604
  8. 12
  9. 36
  10. 78
  11. 729
  12. 4913
  13. 5
  14. 361
  15. 10
  16. 72
  17. 39695
  18. 4
  19. 34
  20. 16
  21. 760
  22. 343
  23. 1000
  24. 729
  25. 4
  26. 4
  27. 13992
  28. 2
  29. 8099
  30. 19
  31. 1/128
  32. 1/512
  33. 15
  34. 729
  35. 13892
  36. 25
  37. 224
  38. 70
  39. 5
  40. 1849

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