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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 10 · 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.Use a² − b² = (a + b)(a − b) to find 63² − 8².
  2. 2.How many whole numbers lie between 33² and 34²?
  3. 3.Solve: 5(x − 2) = 4x + 4. What is x?
  4. 4.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  5. 5.What is √2401? =
  6. 6.Solve: t/2 + t/3 = 35. What is t?
  7. 7.Solve: 4(y − 3) = 3y + 6. What is y?
  8. 8.Solve: 5(x − 5) = 2x + 20. What is x?
  9. 9.Use (a + b)² = a² + 2ab + b² to find 81².
  10. 10.A cuboid is 4 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  11. 11.A town has 59200 people. The population grows by 20% every year. What will the population be after 2 years?
  12. 12.What is √4096? =
  13. 13.What is the difference between the compound interest and the simple interest on ₹46000 at 5% per year for 2 years (in ₹)?
  14. 14.What is the difference between the compound interest and the simple interest on ₹25100 at 10% per year for 2 years (in ₹)?
  15. 15.Use (a + b)(a − b) = a² − b² to find 46 × 34.
  16. 16.What is ∛15625? =
  17. 17.Solve: 3(t − 3) = 2t + 1. What is t?
  18. 18.What is 89²? =
  19. 19.Write 8¹⁷ ÷ 8⁸ as a single power 8ⁿ. What is n?
  20. 20.A trapezium has parallel sides of 28 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  21. 21.A father is 28 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  22. 22.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  23. 23.What is ∛1331? =
  24. 24.A trapezium has an area of 336 square cm. Its parallel sides are 18 cm and 30 cm. What is the distance between them (in cm)?
  25. 25.What is the smallest whole number by which 44 must be divided to get a perfect square?
  26. 26.Use (a + b)² = a² + 2ab + b² to find 28².
  27. 27.What is 27²? =
  28. 28.A cuboid is 11 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  29. 29.What is the value of 3⁵ × 3⁻²? =
  30. 30.The sum of two consecutive whole numbers is 63. What is the largest of them?
  31. 31.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  32. 32.Find the compound interest on ₹46400 at 25% per year for 3 years, compounded every year (in ₹).
  33. 33.What is 19²? =
  34. 34.What is 85²? =
  35. 35.Write 9² × 9⁷ as a single power 9ⁿ. What is n?
  36. 36.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  37. 37.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  38. 38.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  39. 39.A square garden has an area of 3136 square m. How long is each side (in m)?
  40. 40.Solve: 9p + 3 = 6p + 6. What is p?

Answer key

  1. 3905
  2. 66
  3. 14
  4. 49
  5. 49
  6. 42
  7. 18
  8. 15
  9. 6561
  10. 160
  11. 85248
  12. 64
  13. 115
  14. 251
  15. 1564
  16. 25
  17. 10
  18. 7921
  19. 9
  20. 148
  21. 7
  22. 36
  23. 11
  24. 14
  25. 11
  26. 784
  27. 729
  28. 640
  29. 27
  30. 32
  31. 9
  32. 44225
  33. 361
  34. 7225
  35. 9
  36. 7
  37. 2904
  38. 96
  39. 56
  40. 1

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