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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 21 · 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. 1.8.7 × 10² =
  2. 2.Use (a + b)² = a² + 2ab + b² to find 11².
  3. 3.Which of these is a perfect cube? (a) 3375 (b) 3618 (c) 4002
  4. 4.Solve: 9t + 4 = 2t + 74. What is t?
  5. 5.Find the compound interest on ₹28200 at 15% per year for 1 year, compounded every year (in ₹).
  6. 6.A square garden has an area of 3249 square m. How long is each side (in m)?
  7. 7.A trapezium has an area of 70 square cm. Its parallel sides are 4 cm and 3 cm. What is the distance between them (in cm)?
  8. 8.Use (a + b)² = a² + 2ab + b² to find 91².
  9. 9.A square garden has an area of 2401 square m. How long is each side (in m)?
  10. 10.What is the difference between the compound interest and the simple interest on ₹7200 at 5% per year for 2 years (in ₹)?
  11. 11.Write 1.2 × 10⁻⁴ as a decimal. =
  12. 12.What is 20³? =
  13. 13.A square garden has an area of 576 square m. How long is each side (in m)?
  14. 14.How many whole numbers lie between 15² and 16²?
  15. 15.If a − b = 3 and ab = 54, what is a² + b²?
  16. 16.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  17. 17.8.6 × 10³ =
  18. 18.Solve: 3(y − 5) = y + 7. What is y?
  19. 19.What is ∛9261? =
  20. 20.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  21. 21.What is 99²? =
  22. 22.The diagonals of a rhombus are 24 cm and 16 cm. What is its area (in square cm)?
  23. 23.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  24. 24.What is 57²? =
  25. 25.What is the value of 7³? =
  26. 26.Find the compound interest on ₹17500 at 20% per year for 1 year, compounded every year (in ₹).
  27. 27.Write 7⁷ × 7³ as a single power 7ⁿ. What is n?
  28. 28.What is the difference between the compound interest and the simple interest on ₹50700 at 20% per year for 2 years (in ₹)?
  29. 29.What is the value of 10⁵ × 10⁻⁶? =
  30. 30.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  31. 31.What is √2500? =
  32. 32.Use a² − b² = (a + b)(a − b) to find 90² − 19².
  33. 33.The sum of two consecutive whole numbers is 71. What is the largest of them?
  34. 34.What is the value of 5⁶ × 5⁻²? =
  35. 35.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 42².
  37. 37.What is the value of (1/7)⁻¹? =
  38. 38.What is the value of 10⁴ × 10⁻¹? =
  39. 39.Find the compound interest on ₹10700 at 15% per year for 1 year, compounded every year (in ₹).
  40. 40.A trapezium has an area of 272 square cm. Its parallel sides are 27 cm and 5 cm. What is the distance between them (in cm)?

Answer key

  1. 870
  2. 121
  3. 3375
  4. 10
  5. 4230
  6. 57
  7. 20
  8. 8281
  9. 49
  10. 18
  11. 0.00012
  12. 8000
  13. 24
  14. 30
  15. 117
  16. 49
  17. 8600
  18. 11
  19. 21
  20. 15
  21. 9801
  22. 192
  23. 7
  24. 3249
  25. 343
  26. 3500
  27. 10
  28. 2028
  29. 1/10
  30. 15
  31. 50
  32. 7739
  33. 36
  34. 625
  35. 7
  36. 1764
  37. 7
  38. 1000
  39. 1605
  40. 17

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