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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 504 · 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.A cuboid is 9 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  2. 2.What is the value of 2⁻¹ (as a fraction)? =
  3. 3.Write 3¹⁷ ÷ 3⁸ as a single power 3ⁿ. What is n?
  4. 4.Write 2¹⁰ ÷ 2² as a single power 2ⁿ. What is n?
  5. 5.What amount will ₹2500 grow to in 2 years at 12% per year compound interest (in ₹)?
  6. 6.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 80 must be multiplied to get a perfect square?
  8. 8.Which of these is a perfect square? (a) 114 (b) 118 (c) 100
  9. 9.How many whole numbers lie between 11² and 12²?
  10. 10.What is 6³? =
  11. 11.What is 91²? =
  12. 12.The sum of four consecutive whole numbers is 102. What is the largest of them?
  13. 13.A cuboid is 6 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  14. 14.Solve: 4m + 3 = m + 48. What is m?
  15. 15.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.Solve: 3(y − 2) = 2y + 8. What is y?
  17. 17.Solve: n/6 + n/4 = 10. What is n?
  18. 18.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  19. 19.What is 16³? =
  20. 20.What is the value of 5⁷? =
  21. 21.Write 2.4 × 10⁻¹ as a decimal. =
  22. 22.A room is 3 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.What is the value of 10² × 10⁻²? =
  24. 24.Write (4⁵)⁸ as a single power 4ⁿ. What is n?
  25. 25.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
  26. 26.A town has 7600 people. The population grows by 15% every year. What will the population be after 2 years?
  27. 27.If a + b = 14 and ab = 33, what is a² + b²?
  28. 28.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.How many whole numbers lie between 16² and 17²?
  30. 30.What is the value of 2¹¹? =
  31. 31.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  32. 32.What is 67²? =
  33. 33.Solve: 9t + 8 = 7t + 20. What is t?
  34. 34.Use (a + b)(a − b) = a² − b² to find 27 × 13.
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.Find the compound interest on ₹17100 at 10% per year for 2 years, compounded every year (in ₹).
  37. 37.What is ∛3375? =
  38. 38.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  39. 39.Solve: 8n + 3 = 3n + 28. What is n?
  40. 40.What is the value of 2⁴ × 2⁻¹? =

Answer key

  1. 486
  2. 1/2
  3. 9
  4. 8
  5. 3136
  6. 10
  7. 5
  8. 100
  9. 22
  10. 216
  11. 8281
  12. 27
  13. 168
  14. 15
  15. 102
  16. 14
  17. 24
  18. 6
  19. 4096
  20. 78125
  21. 0.24
  22. 130
  23. 1
  24. 40
  25. 144
  26. 10051
  27. 130
  28. 27
  29. 32
  30. 2048
  31. 81
  32. 4489
  33. 6
  34. 351
  35. 8
  36. 3591
  37. 15
  38. 5
  39. 5
  40. 8

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