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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 27 · 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 two consecutive whole numbers is 67. What is the largest of them?
  2. 2.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  3. 3.A father is 30 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?
  4. 4.What is 22²? =
  5. 5.Which of these is a perfect square? (a) 443 (b) 441 (c) 459
  6. 6.Solve: 3x + 4 = 2x + 8. What is x?
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Which of these is a perfect square? (a) 676 (b) 698 (c) 677
  9. 9.Solve: 9p + 17 = 5p + 61. What is p?
  10. 10.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  11. 11.What is the difference between the compound interest and the simple interest on ₹41300 at 10% per year for 2 years (in ₹)?
  12. 12.If a + b = 14 and ab = 48, what is a² + b²?
  13. 13.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  14. 14.What is the value of 2⁴? =
  15. 15.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  16. 16.Solve: n/2 + n/4 = 3. What is n?
  17. 17.What is 24²? =
  18. 18.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  19. 19.What is √1296? =
  20. 20.Use (a + b)(a − b) = a² − b² to find 33 × 27.
  21. 21.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  22. 22.What is √2704? =
  23. 23.Use (a − b)² = a² − 2ab + b² to find 63².
  24. 24.What is 18³? =
  25. 25.What is the value of 2¹³? =
  26. 26.Solve: p/3 + p/6 = 15. What is p?
  27. 27.Solve: 6(m − 1) = 4m + 16. What is m?
  28. 28.Use (a + b)² = a² + 2ab + b² to find 82².
  29. 29.Write 2.2 × 10⁻² as a decimal. =
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.Find the compound interest on ₹15300 at 10% per year for 1 year, compounded every year (in ₹).
  32. 32.Find the compound interest on ₹43500 at 8% per year for 1 year, compounded every year (in ₹).
  33. 33.What is ∛4096? =
  34. 34.A cuboid is 9 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  35. 35.If a + b = 8 and ab = 12, what is a² + b²?
  36. 36.Find the compound interest on ₹33200 at 20% per year for 1 year, compounded every year (in ₹).
  37. 37.What is the value of 3⁴ × 3⁻⁶? =
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.A town has 32500 people. The population grows by 20% every year. What will the population be after 2 years?
  40. 40.A cuboid is 10 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 34
  2. 5
  3. 9
  4. 484
  5. 441
  6. 4
  7. 27
  8. 676
  9. 11
  10. 2
  11. 413
  12. 100
  13. 104
  14. 16
  15. 289
  16. 4
  17. 576
  18. 2
  19. 36
  20. 891
  21. 3
  22. 52
  23. 3969
  24. 5832
  25. 8192
  26. 30
  27. 11
  28. 6724
  29. 0.022
  30. 216
  31. 1530
  32. 3480
  33. 16
  34. 270
  35. 40
  36. 6640
  37. 1/9
  38. 27
  39. 46800
  40. 280

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