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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 332 · 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.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  2. 2.What is 46²? =
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  5. 5.Use (a + b)(a − b) = a² − b² to find 93 × 87.
  6. 6.A town has 7600 people. The population grows by 5% every year. What will the population be after 2 years?
  7. 7.A trapezium has parallel sides of 6 cm and 28 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  8. 8.What is the value of 9⁴? =
  9. 9.Write 4⁹ ÷ 4⁷ as a single power 4ⁿ. What is n?
  10. 10.Solve: 8y + 19 = 6y + 23. What is y?
  11. 11.A square garden has an area of 2809 square m. How long is each side (in m)?
  12. 12.A trapezium has parallel sides of 4 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  13. 13.What is the difference between the compound interest and the simple interest on ₹25300 at 20% per year for 2 years (in ₹)?
  14. 14.Find the value of x² − 2xy + y² when x = 6 and y = 3.
  15. 15.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  16. 16.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  17. 17.A trapezium has an area of 87 square cm. Its parallel sides are 23 cm and 6 cm. What is the distance between them (in cm)?
  18. 18.Solve: 4(p − 4) = p + 17. What is p?
  19. 19.What is the value of 3² × 3⁻⁵? =
  20. 20.Solve: 8y + 5 = 4y + 13. What is y?
  21. 21.If a − b = 1 and ab = 56, what is a² + b²?
  22. 22.What is √324? =
  23. 23.If a + b = 7 and ab = 10, what is a² + b²?
  24. 24.A square garden has an area of 961 square m. How long is each side (in m)?
  25. 25.What is 7³? =
  26. 26.2.3 × 10⁵ =
  27. 27.Use (a − b)² = a² − 2ab + b² to find 94².
  28. 28.What is the value of 6⁵? =
  29. 29.Write 3² × 3⁵ as a single power 3ⁿ. What is n?
  30. 30.The sum of four consecutive whole numbers is 54. What is the largest of them?
  31. 31.What is √4096? =
  32. 32.A scooter is worth ₹57500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  33. 33.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.Use (a − b)² = a² − 2ab + b² to find 37².
  35. 35.What is the smallest whole number by which 128 must be multiplied to get a perfect square?
  36. 36.What is the difference between the compound interest and the simple interest on ₹51200 at 10% per year for 2 years (in ₹)?
  37. 37.What is the value of (3/4)⁻²? =
  38. 38.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  40. 40.What is √4761? =

Answer key

  1. 6
  2. 2116
  3. 8
  4. 7
  5. 8091
  6. 8379
  7. 51
  8. 6561
  9. 2
  10. 2
  11. 53
  12. 36
  13. 1012
  14. 9
  15. 169
  16. 81
  17. 6
  18. 11
  19. 1/27
  20. 2
  21. 113
  22. 18
  23. 29
  24. 31
  25. 343
  26. 230000
  27. 8836
  28. 7776
  29. 7
  30. 15
  31. 64
  32. 29440
  33. 125
  34. 1369
  35. 2
  36. 512
  37. 16/9
  38. 19
  39. 15
  40. 69

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