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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 861 · 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 square garden has an area of 3136 square m. How long is each side (in m)?
  2. 2.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  3. 3.What is the value of 2³ × 2⁻²? =
  4. 4.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
  5. 5.Write 8.7 × 10⁻² as a decimal. =
  6. 6.Use (a + b)² = a² + 2ab + b² to find 94².
  7. 7.What is the difference between the compound interest and the simple interest on ₹38000 at 5% per year for 2 years (in ₹)?
  8. 8.What is ∛512? =
  9. 9.Use (a − b)² = a² − 2ab + b² to find 37².
  10. 10.Find the value of x² + 2xy + y² when x = 4 and y = 1.
  11. 11.Solve: x/6 + x/2 = 24. What is x?
  12. 12.What is 80²? =
  13. 13.What is √4761? =
  14. 14.Write (2³)⁴ as a single power 2ⁿ. What is n?
  15. 15.Which of these is a perfect square? (a) 1225 (b) 1233 (c) 1281
  16. 16.Write 5.4 × 10⁻² as a decimal. =
  17. 17.Write 6¹⁰ ÷ 6⁶ as a single power 6ⁿ. What is n?
  18. 18.8 × 10⁴ =
  19. 19.A square garden has an area of 1521 square m. How long is each side (in m)?
  20. 20.What is the difference between the compound interest and the simple interest on ₹18100 at 10% per year for 2 years (in ₹)?
  21. 21.What is the value of 5⁴ × 5⁻⁴? =
  22. 22.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  23. 23.What is the value of 2⁹? =
  24. 24.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
  25. 25.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  26. 26.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  27. 27.What is 12³? =
  28. 28.Find the value of x² + 2xy + y² when x = 12 and y = 2.
  29. 29.A square garden has an area of 1764 square m. How long is each side (in m)?
  30. 30.Use a² − b² = (a + b)(a − b) to find 34² − 5².
  31. 31.Use (a + b)² = a² + 2ab + b² to find 93².
  32. 32.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  34. 34.What is 17³? =
  35. 35.Write 6⁸ × 6⁶ as a single power 6ⁿ. What is n?
  36. 36.A cuboid is 9 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  37. 37.If a − b = 3 and ab = 10, what is a² + b²?
  38. 38.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.Solve: 4t + 2 = 2t + 14. What is t?
  40. 40.A town has 32000 people. The population grows by 5% every year. What will the population be after 3 years?

Answer key

  1. 56
  2. 64
  3. 2
  4. 2
  5. 0.087
  6. 8836
  7. 95
  8. 8
  9. 1369
  10. 25
  11. 36
  12. 6400
  13. 69
  14. 12
  15. 1225
  16. 0.054
  17. 4
  18. 80000
  19. 39
  20. 181
  21. 1
  22. 25
  23. 512
  24. 64827
  25. 7
  26. 23
  27. 1728
  28. 196
  29. 42
  30. 1131
  31. 8649
  32. 4
  33. 7
  34. 4913
  35. 14
  36. 190
  37. 29
  38. 27
  39. 6
  40. 37044

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