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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 22 · 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.Solve: 3y + 11 = y + 19. What is y?
  2. 2.Solve: 6p + 10 = p + 50. What is p?
  3. 3.Solve: 5t + 17 = t + 29. What is t?
  4. 4.What is 18³? =
  5. 5.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.A scooter is worth ₹20700. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  7. 7.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  8. 8.What is the smallest whole number by which 56 must be divided to get a perfect square?
  9. 9.Use (a + b)² = a² + 2ab + b² to find 108².
  10. 10.Use (a + b)(a − b) = a² − b² to find 76 × 64.
  11. 11.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  12. 12.Use (a − b)² = a² − 2ab + b² to find 95².
  13. 13.Find the compound interest on ₹19300 at 10% per year for 1 year, compounded every year (in ₹).
  14. 14.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  16. 16.A town has 38700 people. The population grows by 5% every year. What will the population be after 1 year?
  17. 17.The diagonals of a rhombus are 26 cm and 14 cm. What is its area (in square cm)?
  18. 18.Use a² − b² = (a + b)(a − b) to find 44² − 15².
  19. 19.What is the value of (7/9)⁻²? =
  20. 20.What is 94²? =
  21. 21.Write 8¹¹ ÷ 8⁵ as a single power 8ⁿ. What is n?
  22. 22.6.8 × 10⁴ =
  23. 23.What is 31²? =
  24. 24.What is the value of 2¹⁰? =
  25. 25.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  26. 26.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  27. 27.If a + b = 15 and ab = 36, what is a² + b²?
  28. 28.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  29. 29.The diagonals of a rhombus are 14 cm and 3 cm. What is its area (in square cm)?
  30. 30.What is the value of 5³ × 5⁻¹? =
  31. 31.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.A father is 18 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  33. 33.Solve: 3(x − 5) = 2x + 11. What is x?
  34. 34.Find the compound interest on ₹22300 at 20% per year for 2 years, compounded every year (in ₹).
  35. 35.Solve: 6(x − 1) = 5x + 4. What is x?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 77².
  37. 37.What is the difference between the compound interest and the simple interest on ₹2800 at 20% per year for 2 years (in ₹)?
  38. 38.What is √3249? =
  39. 39.1.5 × 10³ =
  40. 40.Write (6⁴)⁵ as a single power 6ⁿ. What is n?

Answer key

  1. 4
  2. 8
  3. 3
  4. 5832
  5. 216
  6. 18216
  7. 7
  8. 14
  9. 11664
  10. 4864
  11. 12
  12. 9025
  13. 1930
  14. 4
  15. 4
  16. 40635
  17. 182
  18. 1711
  19. 81/49
  20. 8836
  21. 6
  22. 68000
  23. 961
  24. 1024
  25. 4
  26. 49
  27. 153
  28. 7
  29. 21
  30. 25
  31. 27
  32. 3
  33. 26
  34. 9812
  35. 10
  36. 5929
  37. 112
  38. 57
  39. 1500
  40. 20

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