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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 715 · 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 the value of 10⁶ × 10⁻⁵? =
  2. 2.Which of these is a perfect square? (a) 448 (b) 481 (c) 441
  3. 3.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.The sum of two consecutive whole numbers is 49. What is the largest of them?
  6. 6.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.Use (a − b)² = a² − 2ab + b² to find 68².
  8. 8.Solve: 3(x − 2) = x + 4. What is x?
  9. 9.If a + b = 5 and ab = 4, what is a² + b²?
  10. 10.What is the difference between the compound interest and the simple interest on ₹6400 at 15% per year for 2 years (in ₹)?
  11. 11.Solve: 6m + 6 = 4m + 26. What is m?
  12. 12.Solve: 4p + 11 = 2p + 39. What is p?
  13. 13.A cuboid is 3 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  14. 14.What is √5929? =
  15. 15.What is the value of 10¹ × 10⁻⁴? =
  16. 16.A town has 56000 people. The population grows by 15% every year. What will the population be after 3 years?
  17. 17.What amount will ₹17500 grow to in 2 years at 8% per year compound interest (in ₹)?
  18. 18.Solve: 3(t − 5) = 2t + 12. What is t?
  19. 19.What is the value of (5/8)⁻¹? =
  20. 20.Find the compound interest on ₹19300 at 25% per year for 1 year, compounded every year (in ₹).
  21. 21.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.Find the compound interest on ₹13900 at 15% per year for 1 year, compounded every year (in ₹).
  23. 23.What is the value of 2⁸? =
  24. 24.A scooter is worth ₹8000. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  25. 25.Which of these is a perfect square? (a) 390 (b) 361 (c) 396
  26. 26.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  27. 27.What amount will ₹11700 grow to in 1 year at 20% per year compound interest (in ₹)?
  28. 28.Which of these is a perfect square? (a) 1600 (b) 1669 (c) 1670
  29. 29.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  30. 30.A cuboid is 10 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  31. 31.Solve: m/2 + m/6 = 12. What is m?
  32. 32.Write (9⁵)⁸ as a single power 9ⁿ. What is n?
  33. 33.Use (a + b)(a − b) = a² − b² to find 93 × 87.
  34. 34.Write 6⁷ × 6⁷ as a single power 6ⁿ. What is n?
  35. 35.Solve: x/2 + x/5 = 49. What is x?
  36. 36.What is the difference between the compound interest and the simple interest on ₹16300 at 20% per year for 2 years (in ₹)?
  37. 37.Solve: 9x + 3 = x + 27. What is x?
  38. 38.Solve: 4(p − 4) = 2p + 4. What is p?
  39. 39.Which of these is a perfect cube? (a) 3693 (b) 3375 (c) 4008
  40. 40.What is the value of 9⁻³ (as a fraction)? =

Answer key

  1. 10
  2. 441
  3. 1350
  4. 64
  5. 25
  6. 112
  7. 4624
  8. 5
  9. 17
  10. 144
  11. 10
  12. 14
  13. 216
  14. 77
  15. 1/1000
  16. 85169
  17. 20412
  18. 27
  19. 8/5
  20. 4825
  21. 96
  22. 2085
  23. 256
  24. 6400
  25. 361
  26. 6
  27. 14040
  28. 1600
  29. 19
  30. 346
  31. 18
  32. 40
  33. 8091
  34. 14
  35. 70
  36. 652
  37. 3
  38. 10
  39. 3375
  40. 1/729

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