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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 546 · 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.What is the difference between the compound interest and the simple interest on ₹9600 at 5% per year for 2 years (in ₹)?
  2. 2.Write (3⁷)⁵ as a single power 3ⁿ. What is n?
  3. 3.Which of these is a perfect cube? (a) 472 (b) 343 (c) 440
  4. 4.A room is 11 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 17 cm and 23 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  6. 6.Use a² − b² = (a + b)(a − b) to find 23² − 4².
  7. 7.A trapezium has an area of 24 square cm. Its parallel sides are 5 cm and 3 cm. What is the distance between them (in cm)?
  8. 8.Solve: m/5 + m/3 = 32. What is m?
  9. 9.A trapezium has an area of 285 square cm. Its parallel sides are 27 cm and 30 cm. What is the distance between them (in cm)?
  10. 10.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  11. 11.Use (a − b)² = a² − 2ab + b² to find 21².
  12. 12.What is 31²? =
  13. 13.A trapezium has parallel sides of 29 cm and 13 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  14. 14.A cuboid is 13 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  15. 15.Which of these is a perfect cube? (a) 2336 (b) 2655 (c) 2197
  16. 16.What is √484? =
  17. 17.Use (a − b)² = a² − 2ab + b² to find 67².
  18. 18.What is the smallest whole number by which 252 must be divided to get a perfect square?
  19. 19.Use (a + b)² = a² + 2ab + b² to find 77².
  20. 20.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  21. 21.Find the value of x² + 2xy + y² when x = 4 and y = 2.
  22. 22.Solve: 9m + 17 = 2m + 45. What is m?
  23. 23.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
  25. 25.What is the value of 3³ × 3⁻⁶? =
  26. 26.Write 2¹¹ ÷ 2³ as a single power 2ⁿ. What is n?
  27. 27.Find the compound interest on ₹47700 at 8% per year for 1 year, compounded every year (in ₹).
  28. 28.What is the value of 2³ × 2⁻⁵? =
  29. 29.How many whole numbers lie between 30² and 31²?
  30. 30.A father is 36 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  31. 31.What is √784? =
  32. 32.What is the value of 5¹ × 5⁻⁶? =
  33. 33.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  34. 34.Use (a + b)² = a² + 2ab + b² to find 87².
  35. 35.Use (a − b)² = a² − 2ab + b² to find 47².
  36. 36.What is the value of 2⁴ × 2⁻¹? =
  37. 37.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  38. 38.A trapezium has parallel sides of 11 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  39. 39.What is √4900? =
  40. 40.What is the smallest whole number by which 320 must be multiplied to get a perfect square?

Answer key

  1. 24
  2. 35
  3. 343
  4. 108
  5. 180
  6. 513
  7. 6
  8. 60
  9. 10
  10. 49
  11. 441
  12. 961
  13. 105
  14. 334
  15. 2197
  16. 22
  17. 4489
  18. 7
  19. 5929
  20. 5
  21. 36
  22. 4
  23. 128
  24. 9261
  25. 1/27
  26. 8
  27. 3816
  28. 1/4
  29. 60
  30. 10
  31. 28
  32. 1/3125
  33. 57
  34. 7569
  35. 2209
  36. 8
  37. 2
  38. 324
  39. 70
  40. 5

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