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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 361 · 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.Find the value of x² + 2xy + y² when x = 4 and y = 2.
  2. 2.What is the value of 4⁴? =
  3. 3.A town has 56000 people. The population grows by 5% every year. What will the population be after 3 years?
  4. 4.If a + b = 7 and ab = 6, what is a² + b²?
  5. 5.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Write (7²)⁴ as a single power 7ⁿ. What is n?
  8. 8.What is 3³? =
  9. 9.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  10. 10.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  11. 11.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
  12. 12.Which of these is a perfect square? (a) 731 (b) 729 (c) 730
  13. 13.What is the value of 2³ × 2⁻⁴? =
  14. 14.A cuboid is 10 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 32².
  16. 16.What is the value of 2² × 2⁻²? =
  17. 17.Find the value of x² − y² when x = 4 and y = 3.
  18. 18.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  19. 19.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  20. 20.What amount will ₹35500 grow to in 3 years at 20% per year compound interest (in ₹)?
  21. 21.Use (a − b)² = a² − 2ab + b² to find 54².
  22. 22.Solve: 8y + 3 = 7y + 18. What is y?
  23. 23.What is the value of 3⁷? =
  24. 24.What is the value of 2⁻² (as a fraction)? =
  25. 25.Write 6¹³ ÷ 6⁵ as a single power 6ⁿ. What is n?
  26. 26.Write 8⁶ ÷ 8² as a single power 8ⁿ. What is n?
  27. 27.What is the difference between the compound interest and the simple interest on ₹18300 at 10% per year for 2 years (in ₹)?
  28. 28.Which of these is a perfect cube? (a) 2353 (b) 2197 (c) 2538
  29. 29.What is ∛5832? =
  30. 30.A father is 42 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  31. 31.A square garden has an area of 81 square m. How long is each side (in m)?
  32. 32.3.1 × 10⁷ =
  33. 33.Which of these is a perfect cube? (a) 729 (b) 889 (c) 817
  34. 34.Use (a + b)² = a² + 2ab + b² to find 64².
  35. 35.A cuboid is 6 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  36. 36.Find the compound interest on ₹11200 at 8% per year for 1 year, compounded every year (in ₹).
  37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  38. 38.Solve: p/2 + p/3 = 35. What is p?
  39. 39.What is the smallest whole number by which 80 must be divided to get a perfect square?
  40. 40.Find the value of x² − 2xy + y² when x = 7 and y = 1.

Answer key

  1. 36
  2. 256
  3. 64827
  4. 37
  5. 2
  6. 64
  7. 8
  8. 27
  9. 361
  10. 9
  11. 612
  12. 729
  13. 1/2
  14. 136
  15. 1024
  16. 1
  17. 7
  18. 529
  19. 3
  20. 61344
  21. 2916
  22. 15
  23. 2187
  24. 1/4
  25. 8
  26. 4
  27. 183
  28. 2197
  29. 18
  30. 9
  31. 9
  32. 31000000
  33. 729
  34. 4096
  35. 104
  36. 896
  37. 3
  38. 42
  39. 5
  40. 36

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