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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 521 · 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.Find the value of x² + 2xy + y² when x = 10 and y = 4.
  2. 2.What is 20³? =
  3. 3.What is √7056? =
  4. 4.Write 3.1 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 7²? =
  6. 6.What is the difference between the compound interest and the simple interest on ₹13700 at 10% per year for 2 years (in ₹)?
  7. 7.3.3 × 10⁶ =
  8. 8.What is 14²? =
  9. 9.What is 20²? =
  10. 10.What is the value of 3³? =
  11. 11.What is √1369? =
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.A town has 39700 people. The population grows by 8% every year. What will the population be after 1 year?
  14. 14.Find the compound interest on ₹6000 at 15% per year for 2 years, compounded every year (in ₹).
  15. 15.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  16. 16.What is √3969? =
  17. 17.What is the value of 10⁻¹ (as a fraction)? =
  18. 18.What is the smallest whole number by which 448 must be divided to get a perfect square?
  19. 19.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  20. 20.What is √144? =
  21. 21.Use a² − b² = (a + b)(a − b) to find 33² − 32².
  22. 22.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.1.2 × 10² =
  24. 24.Solve: m/2 + m/5 = 7. What is m?
  25. 25.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  26. 26.What is 49²? =
  27. 27.What is 9³? =
  28. 28.What is the smallest whole number by which 24 must be divided to get a perfect square?
  29. 29.Use (a + b)(a − b) = a² − b² to find 39 × 21.
  30. 30.2.6 × 10⁶ =
  31. 31.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  32. 32.A scooter is worth ₹12400. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  33. 33.Solve: 4t + 16 = t + 22. What is t?
  34. 34.What amount will ₹47600 grow to in 2 years at 25% per year compound interest (in ₹)?
  35. 35.Use (a − b)² = a² − 2ab + b² to find 19².
  36. 36.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  37. 37.A square garden has an area of 400 square m. How long is each side (in m)?
  38. 38.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
  39. 39.Find the compound interest on ₹48200 at 12% per year for 1 year, compounded every year (in ₹).
  40. 40.Write 9.4 × 10⁻¹ as a decimal. =

Answer key

  1. 196
  2. 8000
  3. 84
  4. 0.31
  5. 49
  6. 137
  7. 3300000
  8. 196
  9. 400
  10. 27
  11. 37
  12. 216
  13. 42876
  14. 1935
  15. 8
  16. 63
  17. 1/10
  18. 7
  19. 25
  20. 12
  21. 65
  22. 108
  23. 120
  24. 10
  25. 4
  26. 2401
  27. 729
  28. 6
  29. 819
  30. 2600000
  31. 1350
  32. 6975
  33. 2
  34. 74375
  35. 361
  36. 12
  37. 20
  38. 5
  39. 5784
  40. 0.94

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