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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 855 · 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) 343 (b) 456 (c) 382
  2. 2.What is ∛4096? =
  3. 3.Use (a + b)(a − b) = a² − b² to find 64 × 56.
  4. 4.What is 6³? =
  5. 5.Which of these is a perfect cube? (a) 567 (b) 512 (c) 571
  6. 6.Solve: 8t + 7 = 2t + 61. What is t?
  7. 7.Use (a + b)² = a² + 2ab + b² to find 54².
  8. 8.A trapezium has parallel sides of 29 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  9. 9.The sum of two consecutive whole numbers is 23. What is the smallest of them?
  10. 10.A trapezium has an area of 410 square cm. Its parallel sides are 18 cm and 23 cm. What is the distance between them (in cm)?
  11. 11.What is √4761? =
  12. 12.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  13. 13.Use (a + b)(a − b) = a² − b² to find 73 × 67.
  14. 14.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  15. 15.Solve: 9m + 4 = 5m + 56. What is m?
  16. 16.What is the difference between the compound interest and the simple interest on ₹7500 at 12% per year for 2 years (in ₹)?
  17. 17.What is the smallest whole number by which 96 must be multiplied to get a perfect square?
  18. 18.Which of these is a perfect square? (a) 347 (b) 324 (c) 339
  19. 19.A cuboid is 6 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 4 cm and 28 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  21. 21.If a − b = 1 and ab = 42, what is a² + b²?
  22. 22.What is ∛2197? =
  23. 23.A square garden has an area of 3481 square m. How long is each side (in m)?
  24. 24.What is 15³? =
  25. 25.Find the compound interest on ₹36000 at 10% per year for 3 years, compounded every year (in ₹).
  26. 26.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?
  27. 27.What is ∛2744? =
  28. 28.Solve: 3(m − 5) = m + 3. What is m?
  29. 29.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  30. 30.If a − b = 1 and ab = 72, what is a² + b²?
  31. 31.A trapezium has an area of 51 square cm. Its parallel sides are 25 cm and 26 cm. What is the distance between them (in cm)?
  32. 32.Find the value of x² − y² when x = 9 and y = 8.
  33. 33.What is the value of 7²? =
  34. 34.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  35. 35.Solve: 9x + 6 = 2x + 48. What is x?
  36. 36.The sum of two consecutive whole numbers is 83. What is the smallest of them?
  37. 37.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
  38. 38.What is the value of 3² × 3⁻³? =
  39. 39.The sum of two consecutive whole numbers is 57. What is the smallest of them?
  40. 40.What amount will ₹40000 grow to in 2 years at 4% per year compound interest (in ₹)?

Answer key

  1. 343
  2. 16
  3. 3584
  4. 216
  5. 512
  6. 9
  7. 2916
  8. 132
  9. 11
  10. 20
  11. 69
  12. 294
  13. 4891
  14. 25
  15. 13
  16. 108
  17. 6
  18. 324
  19. 126
  20. 208
  21. 85
  22. 13
  23. 59
  24. 3375
  25. 11916
  26. 12
  27. 14
  28. 9
  29. 25
  30. 145
  31. 2
  32. 17
  33. 49
  34. 576
  35. 6
  36. 41
  37. 27783
  38. 1/3
  39. 28
  40. 43264

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