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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 763 · 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.If a + b = 9 and ab = 18, what is a² + b²?
  2. 2.Use (a + b)² = a² + 2ab + b² to find 81².
  3. 3.Use a² − b² = (a + b)(a − b) to find 49² − 11².
  4. 4.Solve: 7x + 4 = 4x + 49. What is x?
  5. 5.Use (a + b)(a − b) = a² − b² to find 103 × 97.
  6. 6.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  7. 7.What is ∛10648? =
  8. 8.Solve: 9y + 5 = 2y + 12. What is y?
  9. 9.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
  10. 10.Solve: x/4 + x/5 = 63. What is x?
  11. 11.What is 2³? =
  12. 12.What is the value of (5/9)⁻¹? =
  13. 13.Use (a − b)² = a² − 2ab + b² to find 88².
  14. 14.Which of these is a perfect square? (a) 607 (b) 576 (c) 624
  15. 15.What is the difference between the compound interest and the simple interest on ₹13500 at 20% per year for 2 years (in ₹)?
  16. 16.What is 55²? =
  17. 17.A father is 24 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  18. 18.Which of these is a perfect cube? (a) 353 (b) 343 (c) 411
  19. 19.If a − b = 2 and ab = 24, what is a² + b²?
  20. 20.Find the compound interest on ₹55000 at 8% per year for 2 years, compounded every year (in ₹).
  21. 21.A father is 42 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  22. 22.Which of these is a perfect square? (a) 191 (b) 170 (c) 169
  23. 23.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
  24. 24.A trapezium has parallel sides of 8 cm and 26 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  25. 25.What is √1024? =
  26. 26.Find the compound interest on ₹15300 at 20% per year for 2 years, compounded every year (in ₹).
  27. 27.Use (a − b)² = a² − 2ab + b² to find 51².
  28. 28.Use a² − b² = (a + b)(a − b) to find 96² − 39².
  29. 29.How many whole numbers lie between 22² and 23²?
  30. 30.What is √1156? =
  31. 31.What is the value of 3⁻⁵ (as a fraction)? =
  32. 32.A scooter is worth ₹11500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  33. 33.How many whole numbers lie between 31² and 32²?
  34. 34.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  35. 35.Write 60,000 in standard form as 6 × 10ⁿ. What is n?
  36. 36.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  37. 37.What is the difference between the compound interest and the simple interest on ₹14000 at 10% per year for 2 years (in ₹)?
  38. 38.What is √5329? =
  39. 39.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  40. 40.The sum of four consecutive whole numbers is 238. What is the smallest of them?

Answer key

  1. 45
  2. 6561
  3. 2280
  4. 15
  5. 9991
  6. 9
  7. 22
  8. 1
  9. 144
  10. 140
  11. 8
  12. 9/5
  13. 7744
  14. 576
  15. 540
  16. 3025
  17. 4
  18. 343
  19. 52
  20. 9152
  21. 12
  22. 169
  23. 75
  24. 51
  25. 32
  26. 6732
  27. 2601
  28. 7695
  29. 44
  30. 34
  31. 1/243
  32. 5888
  33. 62
  34. 384
  35. 4
  36. 15
  37. 140
  38. 73
  39. 6
  40. 58

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