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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 14 · 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.Use (a − b)² = a² − 2ab + b² to find 82².
  2. 2.What is 43²? =
  3. 3.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  4. 4.What is ∛512? =
  5. 5.Write 6,60,000 in standard form as 6.6 × 10ⁿ. What is n?
  6. 6.The length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  7. 7.What is 74²? =
  8. 8.What is the value of 9³? =
  9. 9.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
  10. 10.Which of these is a perfect cube? (a) 111 (b) 68 (c) 64
  11. 11.Which of these is a perfect square? (a) 171 (b) 170 (c) 169
  12. 12.Solve: 4m + 14 = 3m + 25. What is m?
  13. 13.What is 95²? =
  14. 14.What is the value of 3³ × 3⁻⁶? =
  15. 15.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
  16. 16.Use (a − b)² = a² − 2ab + b² to find 52².
  17. 17.What is √900? =
  18. 18.Use a² − b² = (a + b)(a − b) to find 59² − 35².
  19. 19.A town has 56300 people. The population grows by 12% every year. What will the population be after 1 year?
  20. 20.Solve: 5(m − 3) = 4m + 1. What is m?
  21. 21.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  22. 22.Find the compound interest on ₹11500 at 10% per year for 2 years, compounded every year (in ₹).
  23. 23.Find the compound interest on ₹50000 at 8% per year for 2 years, compounded every year (in ₹).
  24. 24.Write (7⁶)⁴ as a single power 7ⁿ. What is n?
  25. 25.How many whole numbers lie between 20² and 21²?
  26. 26.Solve: p/3 + p/4 = 28. What is p?
  27. 27.What is 8³? =
  28. 28.Which of these is a perfect square? (a) 638 (b) 625 (c) 666
  29. 29.Write 3⁵ ÷ 3² as a single power 3ⁿ. What is n?
  30. 30.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  31. 31.What is 16³? =
  32. 32.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  33. 33.Write 8.3 × 10⁻² as a decimal. =
  34. 34.Solve: x/3 + x/5 = 16. What is x?
  35. 35.How many whole numbers lie between 13² and 14²?
  36. 36.What is the smallest whole number by which 1215 must be multiplied to get a perfect square?
  37. 37.What is √1444? =
  38. 38.A cuboid is 5 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  39. 39.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  40. 40.Which of these is a perfect square? (a) 362 (b) 363 (c) 361

Answer key

  1. 6724
  2. 1849
  3. 54
  4. 8
  5. 5
  6. 21
  7. 5476
  8. 729
  9. 3
  10. 64
  11. 169
  12. 11
  13. 9025
  14. 1/27
  15. 8334
  16. 2704
  17. 30
  18. 2256
  19. 63056
  20. 16
  21. 27
  22. 2415
  23. 8320
  24. 24
  25. 40
  26. 48
  27. 512
  28. 625
  29. 3
  30. 2646
  31. 4096
  32. 11
  33. 0.083
  34. 30
  35. 26
  36. 15
  37. 38
  38. 184
  39. 3750
  40. 361

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