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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 216 · 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 ∛2197? =
  2. 2.What is the value of (2/7)⁻²? =
  3. 3.Write 2.9 × 10⁻¹ as a decimal. =
  4. 4.A scooter is worth ₹48000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  5. 5.What is the value of 3³ × 3⁻⁵? =
  6. 6.Write (4⁴)⁷ as a single power 4ⁿ. What is n?
  7. 7.Which of these is a perfect square? (a) 403 (b) 402 (c) 400
  8. 8.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  9. 9.What is 78²? =
  10. 10.What is √196? =
  11. 11.How many whole numbers lie between 45² and 46²?
  12. 12.What is the value of 3⁵ × 3⁻¹? =
  13. 13.What amount will ₹6000 grow to in 3 years at 10% per year compound interest (in ₹)?
  14. 14.What is √900? =
  15. 15.6.3 × 10⁷ =
  16. 16.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  17. 17.What is the value of 2¹³? =
  18. 18.The sum of three consecutive whole numbers is 78. What is the largest of them?
  19. 19.Use (a + b)² = a² + 2ab + b² to find 28².
  20. 20.How many whole numbers lie between 17² and 18²?
  21. 21.Write 5⁸ × 5² as a single power 5ⁿ. What is n?
  22. 22.What is √1225? =
  23. 23.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  24. 24.Use (a + b)(a − b) = a² − b² to find 105 × 95.
  25. 25.Solve: y/3 + y/4 = 42. What is y?
  26. 26.If a − b = 10 and ab = 24, what is a² + b²?
  27. 27.Write 2.9 × 10⁻³ as a decimal. =
  28. 28.Solve: 6(n − 3) = 2n + 50. What is n?
  29. 29.What is 16³? =
  30. 30.Which of these is a perfect cube? (a) 1000 (b) 1211 (c) 1016
  31. 31.What is the smallest whole number by which 147 must be divided to get a perfect square?
  32. 32.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  33. 33.Solve: 4n + 11 = 2n + 21. What is n?
  34. 34.Find the compound interest on ₹39700 at 5% per year for 1 year, compounded every year (in ₹).
  35. 35.The length of a rectangle is 9 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  36. 36.A trapezium has parallel sides of 17 cm and 11 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  37. 37.What is the smallest whole number by which 240 must be multiplied to get a perfect square?
  38. 38.Write 9⁶ × 9⁹ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 5⁵? =
  40. 40.What is the value of 5⁴ × 5⁻⁶? =

Answer key

  1. 13
  2. 49/4
  3. 0.29
  4. 41154
  5. 1/9
  6. 28
  7. 400
  8. 216
  9. 6084
  10. 14
  11. 90
  12. 81
  13. 7986
  14. 30
  15. 63000000
  16. 4
  17. 8192
  18. 27
  19. 784
  20. 34
  21. 10
  22. 35
  23. 13
  24. 9975
  25. 72
  26. 148
  27. 0.0029
  28. 17
  29. 4096
  30. 1000
  31. 3
  32. 2
  33. 5
  34. 1985
  35. 16
  36. 126
  37. 15
  38. 15
  39. 3125
  40. 1/25

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