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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 952 · 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 big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is the difference between the compound interest and the simple interest on ₹20800 at 5% per year for 2 years (in ₹)?
  3. 3.What is 20³? =
  4. 4.What is the value of 2⁴ × 2⁻⁵? =
  5. 5.Use (a + b)² = a² + 2ab + b² to find 74².
  6. 6.Solve: 5p + 1 = 2p + 43. What is p?
  7. 7.What is the smallest whole number by which 486 must be multiplied to get a perfect square?
  8. 8.What is the value of (3/7)⁻¹? =
  9. 9.What is 87²? =
  10. 10.Use (a + b)² = a² + 2ab + b² to find 92².
  11. 11.What is √3249? =
  12. 12.What is ∛3375? =
  13. 13.Find the value of x² − y² when x = 14 and y = 13.
  14. 14.If a + b = 8 and ab = 15, what is a² + b²?
  15. 15.A town has 40000 people. The population grows by 5% every year. What will the population be after 1 year?
  16. 16.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  17. 17.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.Use (a + b)(a − b) = a² − b² to find 28 × 12.
  20. 20.Write 8⁵ × 8⁷ as a single power 8ⁿ. What is n?
  21. 21.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.Write 8,80,00,000 in standard form as 8.8 × 10ⁿ. What is n?
  23. 23.A trapezium has parallel sides of 4 cm and 12 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  24. 24.Use (a − b)² = a² − 2ab + b² to find 93².
  25. 25.What is 11³? =
  26. 26.What is the value of 2³? =
  27. 27.Find the compound interest on ₹10700 at 20% per year for 2 years, compounded every year (in ₹).
  28. 28.What is 26²? =
  29. 29.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  30. 30.A square garden has an area of 144 square m. How long is each side (in m)?
  31. 31.Solve: m/2 + m/4 = 6. What is m?
  32. 32.Which of these is a perfect cube? (a) 304 (b) 219 (c) 216
  33. 33.Use a² − b² = (a + b)(a − b) to find 41² − 2².
  34. 34.A square garden has an area of 1936 square m. How long is each side (in m)?
  35. 35.What is 80²? =
  36. 36.Solve: 7m + 13 = m + 61. What is m?
  37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  38. 38.What amount will ₹44100 grow to in 1 year at 4% per year compound interest (in ₹)?
  39. 39.What is the value of 4³? =
  40. 40.What is the value of 3⁵ × 3⁻⁶? =

Answer key

  1. 216
  2. 52
  3. 8000
  4. 1/2
  5. 5476
  6. 14
  7. 6
  8. 7/3
  9. 7569
  10. 8464
  11. 57
  12. 15
  13. 27
  14. 34
  15. 42000
  16. 384
  17. 96
  18. 216
  19. 336
  20. 12
  21. 36
  22. 7
  23. 32
  24. 8649
  25. 1331
  26. 8
  27. 4708
  28. 676
  29. 600
  30. 12
  31. 8
  32. 216
  33. 1677
  34. 44
  35. 6400
  36. 8
  37. 9
  38. 45864
  39. 64
  40. 1/3

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