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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 721 · 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 √841? =
  2. 2.Find the value of x² − 2xy + y² when x = 13 and y = 4.
  3. 3.Find the value of x² − y² when x = 10 and y = 7.
  4. 4.Find the value of x² + 2xy + y² when x = 11 and y = 1.
  5. 5.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
  6. 6.A cuboid is 3 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  7. 7.How many whole numbers lie between 13² and 14²?
  8. 8.Solve: 4t + 3 = t + 30. What is t?
  9. 9.What amount will ₹51100 grow to in 1 year at 20% per year compound interest (in ₹)?
  10. 10.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?
  11. 11.Use a² − b² = (a + b)(a − b) to find 74² − 42².
  12. 12.A cuboid is 13 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  13. 13.What amount will ₹57500 grow to in 2 years at 8% per year compound interest (in ₹)?
  14. 14.What is ∛2744? =
  15. 15.Write 7⁹ × 7⁷ as a single power 7ⁿ. What is n?
  16. 16.What is the value of 2⁻⁶ (as a fraction)? =
  17. 17.What amount will ₹35000 grow to in 2 years at 12% per year compound interest (in ₹)?
  18. 18.What is the difference between the compound interest and the simple interest on ₹36400 at 15% per year for 2 years (in ₹)?
  19. 19.Use (a + b)(a − b) = a² − b² to find 53 × 47.
  20. 20.A scooter is worth ₹38400. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  21. 21.A town has 42900 people. The population grows by 20% every year. What will the population be after 1 year?
  22. 22.Which of these is a perfect square? (a) 961 (b) 1019 (c) 963
  23. 23.Solve: n/5 + n/4 = 27. What is n?
  24. 24.A town has 49000 people. The population grows by 20% every year. What will the population be after 3 years?
  25. 25.Write 47,000 in standard form as 4.7 × 10ⁿ. What is n?
  26. 26.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  27. 27.What is the value of 6⁵? =
  28. 28.Use (a − b)² = a² − 2ab + b² to find 56².
  29. 29.Find the compound interest on ₹54400 at 25% per year for 2 years, compounded every year (in ₹).
  30. 30.How many whole numbers lie between 25² and 26²?
  31. 31.Find the compound interest on ₹40000 at 25% per year for 1 year, compounded every year (in ₹).
  32. 32.A cuboid is 4 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  33. 33.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect square? (a) 225 (b) 238 (c) 253
  35. 35.How many whole numbers lie between 45² and 46²?
  36. 36.The sum of two consecutive whole numbers is 111. What is the largest of them?
  37. 37.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  38. 38.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  39. 39.A cuboid is 12 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  40. 40.Find the compound interest on ₹42400 at 12% per year for 1 year, compounded every year (in ₹).

Answer key

  1. 29
  2. 81
  3. 51
  4. 144
  5. 540
  6. 114
  7. 26
  8. 9
  9. 61320
  10. 17
  11. 3712
  12. 720
  13. 67068
  14. 14
  15. 16
  16. 1/64
  17. 43904
  18. 819
  19. 2491
  20. 16200
  21. 51480
  22. 961
  23. 60
  24. 84672
  25. 4
  26. 1014
  27. 7776
  28. 3136
  29. 30600
  30. 50
  31. 10000
  32. 112
  33. 14
  34. 225
  35. 90
  36. 56
  37. 6
  38. 2
  39. 552
  40. 5088

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