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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 673 · 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.Write 4.4 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 10⁵ × 10⁻⁵? =
  3. 3.What is the value of 2¹ × 2⁻⁵? =
  4. 4.Find the compound interest on ₹38300 at 10% per year for 2 years, compounded every year (in ₹).
  5. 5.What amount will ₹42200 grow to in 2 years at 20% per year compound interest (in ₹)?
  6. 6.What is the value of 5³ × 5⁻¹? =
  7. 7.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  8. 8.What is 14³? =
  9. 9.How many whole numbers lie between 9² and 10²?
  10. 10.What is √1024? =
  11. 11.Solve: p/5 + p/2 = 35. What is p?
  12. 12.Write 2⁹ ÷ 2⁴ as a single power 2ⁿ. What is n?
  13. 13.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  14. 14.Write 4⁵ × 4⁵ as a single power 4ⁿ. What is n?
  15. 15.Solve: 4(y − 4) = y + 2. What is y?
  16. 16.Find the compound interest on ₹7700 at 25% per year for 1 year, compounded every year (in ₹).
  17. 17.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  18. 18.Which of these is a perfect square? (a) 1490 (b) 1505 (c) 1444
  19. 19.What is 9³? =
  20. 20.Find the value of x² + 2xy + y² when x = 9 and y = 4.
  21. 21.Find the compound interest on ₹51800 at 15% per year for 1 year, compounded every year (in ₹).
  22. 22.Write 1.7 × 10⁻² as a decimal. =
  23. 23.Use (a + b)² = a² + 2ab + b² to find 105².
  24. 24.Which of these is a perfect square? (a) 791 (b) 784 (c) 792
  25. 25.How many whole numbers lie between 28² and 29²?
  26. 26.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  27. 27.If a − b = 3 and ab = 70, what is a² + b²?
  28. 28.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Which of these is a perfect cube? (a) 729 (b) 768 (c) 757
  30. 30.What is √256? =
  31. 31.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  32. 32.Solve: x/5 + x/6 = 55. What is x?
  33. 33.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
  34. 34.Find the compound interest on ₹47300 at 10% per year for 1 year, compounded every year (in ₹).
  35. 35.Use (a + b)(a − b) = a² − b² to find 26 × 14.
  36. 36.Use (a − b)² = a² − 2ab + b² to find 98².
  37. 37.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
  38. 38.What is the value of 7⁵? =
  39. 39.What is ∛1728? =
  40. 40.If a − b = 5 and ab = 6, what is a² + b²?

Answer key

  1. 0.44
  2. 1
  3. 1/16
  4. 8043
  5. 60768
  6. 25
  7. 3
  8. 2744
  9. 18
  10. 32
  11. 50
  12. 5
  13. 676
  14. 10
  15. 6
  16. 1925
  17. 2904
  18. 1444
  19. 729
  20. 169
  21. 7770
  22. 0.017
  23. 11025
  24. 784
  25. 56
  26. 4
  27. 149
  28. 8
  29. 729
  30. 16
  31. 25
  32. 150
  33. 13
  34. 4730
  35. 364
  36. 9604
  37. 64827
  38. 16807
  39. 12
  40. 37

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