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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 322 · 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.Which of these is a perfect cube? (a) 46 (b) 27 (c) 53
  2. 2.Use (a + b)(a − b) = a² − b² to find 74 × 66.
  3. 3.Use a² − b² = (a + b)(a − b) to find 83² − 43².
  4. 4.Which of these is a perfect square? (a) 114 (b) 111 (c) 100
  5. 5.Use a² − b² = (a + b)(a − b) to find 74² − 20².
  6. 6.What is √3136? =
  7. 7.Use (a + b)² = a² + 2ab + b² to find 49².
  8. 8.What is the value of 7³? =
  9. 9.What is the value of 10⁴ × 10⁻⁵? =
  10. 10.What amount will ₹24000 grow to in 3 years at 10% per year compound interest (in ₹)?
  11. 11.A scooter is worth ₹38000. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  12. 12.The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  13. 13.If a + b = 16 and ab = 55, what is a² + b²?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 18².
  15. 15.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  16. 16.The sum of two consecutive whole numbers is 45. What is the smallest of them?
  17. 17.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  18. 18.What is ∛729? =
  19. 19.What is 6³? =
  20. 20.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  21. 21.What is √6241? =
  22. 22.Which of these is a perfect square? (a) 324 (b) 349 (c) 335
  23. 23.Solve: 6x + 3 = 2x + 7. What is x?
  24. 24.What is the value of 9⁴? =
  25. 25.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  26. 26.Solve: 3y + 20 = y + 46. What is y?
  27. 27.What is the value of 10³ × 10⁻³? =
  28. 28.Which of these is a perfect square? (a) 168 (b) 144 (c) 152
  29. 29.What is the value of 7⁴? =
  30. 30.What is the smallest whole number by which 75 must be divided to get a perfect square?
  31. 31.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  32. 32.What amount will ₹42000 grow to in 1 year at 4% per year compound interest (in ₹)?
  33. 33.2.8 × 10² =
  34. 34.Solve: 7p + 18 = 2p + 33. What is p?
  35. 35.Use (a + b)(a − b) = a² − b² to find 23 × 17.
  36. 36.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  37. 37.What is the value of 4²? =
  38. 38.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
  39. 39.What is 4³? =
  40. 40.What amount will ₹58800 grow to in 2 years at 15% per year compound interest (in ₹)?

Answer key

  1. 27
  2. 4884
  3. 5040
  4. 100
  5. 5076
  6. 56
  7. 2401
  8. 343
  9. 1/10
  10. 31944
  11. 21375
  12. 9
  13. 146
  14. 324
  15. 25
  16. 22
  17. 225
  18. 9
  19. 216
  20. 10
  21. 79
  22. 324
  23. 1
  24. 6561
  25. 19
  26. 13
  27. 1
  28. 144
  29. 2401
  30. 3
  31. 4
  32. 43680
  33. 280
  34. 3
  35. 391
  36. 7
  37. 16
  38. 39
  39. 64
  40. 77763

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