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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 657 · 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.What is ∛64? =
  2. 2.Solve: 8y + 8 = y + 92. What is y?
  3. 3.What is the value of 10⁴? =
  4. 4.Write (6⁶)⁶ as a single power 6ⁿ. What is n?
  5. 5.Write (4²)⁹ as a single power 4ⁿ. What is n?
  6. 6.Which of these is a perfect cube? (a) 36 (b) 45 (c) 27
  7. 7.What amount will ₹7500 grow to in 2 years at 12% per year compound interest (in ₹)?
  8. 8.If a + b = 4 and ab = 3, what is a² + b²?
  9. 9.Which of these is a perfect cube? (a) 857 (b) 859 (c) 729
  10. 10.Which of these is a perfect cube? (a) 425 (b) 472 (c) 343
  11. 11.The sum of three consecutive whole numbers is 156. What is the smallest of them?
  12. 12.How many whole numbers lie between 26² and 27²?
  13. 13.Solve: y/3 + y/6 = 3. What is y?
  14. 14.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.What is the difference between the compound interest and the simple interest on ₹31600 at 5% per year for 2 years (in ₹)?
  16. 16.A trapezium has an area of 336 square cm. Its parallel sides are 26 cm and 22 cm. What is the distance between them (in cm)?
  17. 17.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  18. 18.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
  19. 19.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.Solve: 5(p − 2) = 3p + 6. What is p?
  21. 21.Find the compound interest on ₹4500 at 20% per year for 3 years, compounded every year (in ₹).
  22. 22.How many whole numbers lie between 41² and 42²?
  23. 23.What is 7³? =
  24. 24.What amount will ₹23000 grow to in 3 years at 10% per year compound interest (in ₹)?
  25. 25.A scooter is worth ₹57000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  26. 26.Find the value of x² − y² when x = 13 and y = 7.
  27. 27.A trapezium has an area of 150 square cm. Its parallel sides are 26 cm and 4 cm. What is the distance between them (in cm)?
  28. 28.Use a² − b² = (a + b)(a − b) to find 70² − 14².
  29. 29.Write 8.7 × 10⁻³ as a decimal. =
  30. 30.What is 10³? =
  31. 31.Solve: n/2 + n/5 = 56. What is n?
  32. 32.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  33. 33.Find the compound interest on ₹8400 at 5% per year for 2 years, compounded every year (in ₹).
  34. 34.4.1 × 10³ =
  35. 35.Which of these is a perfect cube? (a) 98 (b) 64 (c) 92
  36. 36.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.Write 5³ × 5³ as a single power 5ⁿ. What is n?
  38. 38.A trapezium has an area of 185 square cm. Its parallel sides are 18 cm and 19 cm. What is the distance between them (in cm)?
  39. 39.Write 500 in standard form as 5 × 10ⁿ. What is n?
  40. 40.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 4
  2. 12
  3. 10000
  4. 36
  5. 18
  6. 27
  7. 9408
  8. 10
  9. 729
  10. 343
  11. 51
  12. 52
  13. 6
  14. 72
  15. 79
  16. 14
  17. 10
  18. 2522
  19. 60
  20. 8
  21. 3276
  22. 82
  23. 343
  24. 30613
  25. 41553
  26. 120
  27. 10
  28. 4704
  29. 0.0087
  30. 1000
  31. 80
  32. 294
  33. 861
  34. 4100
  35. 64
  36. 125
  37. 6
  38. 10
  39. 2
  40. 256

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