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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 693 · 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 room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  3. 3.Solve: 4(y − 5) = 2y + 14. What is y?
  4. 4.What is √7744? =
  5. 5.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  6. 6.Find the compound interest on ₹15300 at 25% per year for 1 year, compounded every year (in ₹).
  7. 7.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  8. 8.Write 8¹⁷ ÷ 8⁸ as a single power 8ⁿ. What is n?
  9. 9.Find the compound interest on ₹56000 at 5% per year for 3 years, compounded every year (in ₹).
  10. 10.What is 39²? =
  11. 11.Which of these is a perfect square? (a) 395 (b) 361 (c) 366
  12. 12.What is 19³? =
  13. 13.Find the compound interest on ₹10400 at 5% per year for 2 years, compounded every year (in ₹).
  14. 14.A town has 10000 people. The population grows by 4% every year. What will the population be after 2 years?
  15. 15.Use a² − b² = (a + b)(a − b) to find 48² − 44².
  16. 16.Write 7,500 in standard form as 7.5 × 10ⁿ. What is n?
  17. 17.The sum of three consecutive whole numbers is 162. What is the largest of them?
  18. 18.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  19. 19.What is √900? =
  20. 20.Write (9²)³ as a single power 9ⁿ. What is n?
  21. 21.Which of these is a perfect cube? (a) 274 (b) 219 (c) 216
  22. 22.What amount will ₹22500 grow to in 2 years at 4% per year compound interest (in ₹)?
  23. 23.What is ∛1728? =
  24. 24.What is the value of (7/9)⁻²? =
  25. 25.What is the value of 5¹ × 5⁻²? =
  26. 26.The length of a rectangle is 14 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  27. 27.A scooter is worth ₹47400. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  28. 28.Which of these is a perfect cube? (a) 2744 (b) 3162 (c) 2975
  29. 29.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  30. 30.Find the compound interest on ₹53600 at 25% per year for 2 years, compounded every year (in ₹).
  31. 31.What is the value of 5⁶ × 5⁻⁶? =
  32. 32.Write 94,000 in standard form as 9.4 × 10ⁿ. What is n?
  33. 33.What is the value of 4⁵? =
  34. 34.What is the value of 3⁻¹ (as a fraction)? =
  35. 35.What is 3³? =
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛4096? =
  38. 38.Write 5,10,000 in standard form as 5.1 × 10ⁿ. What is n?
  39. 39.How many whole numbers lie between 30² and 31²?
  40. 40.Find the compound interest on ₹41600 at 25% per year for 3 years, compounded every year (in ₹).

Answer key

  1. 144
  2. 7
  3. 17
  4. 88
  5. 4
  6. 3825
  7. 576
  8. 9
  9. 8827
  10. 1521
  11. 361
  12. 6859
  13. 1066
  14. 10816
  15. 368
  16. 3
  17. 55
  18. 6
  19. 30
  20. 6
  21. 216
  22. 24336
  23. 12
  24. 81/49
  25. 1/5
  26. 25
  27. 45504
  28. 2744
  29. 10
  30. 30150
  31. 1
  32. 4
  33. 1024
  34. 1/3
  35. 27
  36. 6
  37. 16
  38. 5
  39. 60
  40. 39650

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