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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 529 · 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 (a − b)² = a² − 2ab + b² to find 48².
  2. 2.What is the value of (4/9)⁻¹? =
  3. 3.Solve: 5m + 13 = 4m + 19. What is m?
  4. 4.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  5. 5.A father is 45 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  6. 6.What is ∛13824? =
  7. 7.Solve: 7m + 18 = 5m + 48. What is m?
  8. 8.What is the value of 10²? =
  9. 9.A town has 51500 people. The population grows by 10% every year. What will the population be after 1 year?
  10. 10.What is the smallest whole number by which 162 must be divided to get a perfect square?
  11. 11.A trapezium has parallel sides of 30 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  12. 12.How many whole numbers lie between 41² and 42²?
  13. 13.Solve: 6(p − 3) = 4p + 26. What is p?
  14. 14.Use a² − b² = (a + b)(a − b) to find 41² − 39².
  15. 15.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  16. 16.Use (a + b)(a − b) = a² − b² to find 38 × 22.
  17. 17.What is √5776? =
  18. 18.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  19. 19.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  20. 20.Use (a + b)(a − b) = a² − b² to find 73 × 67.
  21. 21.What is ∛1331? =
  22. 22.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  23. 23.Find the value of x² − y² when x = 11 and y = 7.
  24. 24.What is the difference between the compound interest and the simple interest on ₹38500 at 20% per year for 2 years (in ₹)?
  25. 25.Find the value of x² − y² when x = 10 and y = 5.
  26. 26.How many whole numbers lie between 9² and 10²?
  27. 27.If a + b = 18 and ab = 72, what is a² + b²?
  28. 28.What is the difference between the compound interest and the simple interest on ₹25600 at 5% per year for 2 years (in ₹)?
  29. 29.A trapezium has an area of 391 square cm. Its parallel sides are 21 cm and 25 cm. What is the distance between them (in cm)?
  30. 30.A town has 5600 people. The population grows by 25% every year. What will the population be after 2 years?
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.A trapezium has an area of 31 square cm. Its parallel sides are 7 cm and 24 cm. What is the distance between them (in cm)?
  33. 33.What is the difference between the compound interest and the simple interest on ₹12300 at 20% per year for 2 years (in ₹)?
  34. 34.A square garden has an area of 841 square m. How long is each side (in m)?
  35. 35.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  36. 36.What is the value of 5⁴ × 5⁻¹? =
  37. 37.What is 25²? =
  38. 38.What is the smallest whole number by which 50 must be divided to get a perfect square?
  39. 39.Find the compound interest on ₹31100 at 8% per year for 1 year, compounded every year (in ₹).
  40. 40.What is the value of 4²? =

Answer key

  1. 2304
  2. 9/4
  3. 6
  4. 484
  5. 8
  6. 24
  7. 15
  8. 100
  9. 56650
  10. 2
  11. 171
  12. 82
  13. 22
  14. 160
  15. 3
  16. 836
  17. 76
  18. 216
  19. 4
  20. 4891
  21. 11
  22. 5
  23. 72
  24. 1540
  25. 75
  26. 18
  27. 180
  28. 64
  29. 17
  30. 8750
  31. 27
  32. 2
  33. 492
  34. 29
  35. 2
  36. 125
  37. 625
  38. 2
  39. 2488
  40. 16

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