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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 544 · 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.Use a² − b² = (a + b)(a − b) to find 40² − 29².
  2. 2.What is the value of 2⁴ × 2⁻⁴? =
  3. 3.A square garden has an area of 1764 square m. How long is each side (in m)?
  4. 4.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  5. 5.Use (a + b)(a − b) = a² − b² to find 34 × 26.
  6. 6.What is 17³? =
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.A room is 4 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.9.5 × 10³ =
  10. 10.A trapezium has an area of 92 square cm. Its parallel sides are 19 cm and 4 cm. What is the distance between them (in cm)?
  11. 11.Find the compound interest on ₹40000 at 10% per year for 3 years, compounded every year (in ₹).
  12. 12.Find the compound interest on ₹32400 at 5% per year for 1 year, compounded every year (in ₹).
  13. 13.A square garden has an area of 256 square m. How long is each side (in m)?
  14. 14.If a + b = 14 and ab = 40, what is a² + b²?
  15. 15.If a − b = 3 and ab = 28, what is a² + b²?
  16. 16.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  17. 17.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.The sum of two consecutive whole numbers is 71. What is the largest of them?
  19. 19.What is 13³? =
  20. 20.A square garden has an area of 289 square m. How long is each side (in m)?
  21. 21.Find the value of x² − 2xy + y² when x = 9 and y = 3.
  22. 22.What is the value of 2¹ × 2⁻²? =
  23. 23.Use (a + b)(a − b) = a² − b² to find 59 × 41.
  24. 24.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  25. 25.A trapezium has an area of 165 square cm. Its parallel sides are 5 cm and 17 cm. What is the distance between them (in cm)?
  26. 26.Solve: m/2 + m/3 = 10. What is m?
  27. 27.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  28. 28.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  29. 29.Write 7.3 × 10⁻² as a decimal. =
  30. 30.A trapezium has an area of 440 square cm. Its parallel sides are 29 cm and 26 cm. What is the distance between them (in cm)?
  31. 31.What is the value of (1/8)⁻²? =
  32. 32.Which of these is a perfect cube? (a) 1728 (b) 1789 (c) 1738
  33. 33.What is 3³? =
  34. 34.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  35. 35.Find the value of x² − y² when x = 6 and y = 1.
  36. 36.If a − b = 4 and ab = 21, what is a² + b²?
  37. 37.What is the value of (1/2)⁻²? =
  38. 38.If a − b = 2 and ab = 8, what is a² + b²?
  39. 39.A trapezium has an area of 168 square cm. Its parallel sides are 24 cm and 4 cm. What is the distance between them (in cm)?
  40. 40.What is the value of 6²? =

Answer key

  1. 759
  2. 1
  3. 42
  4. 17
  5. 884
  6. 4913
  7. 8
  8. 140
  9. 9500
  10. 8
  11. 13240
  12. 1620
  13. 16
  14. 116
  15. 65
  16. 59
  17. 108
  18. 36
  19. 2197
  20. 17
  21. 36
  22. 1/2
  23. 2419
  24. 2
  25. 15
  26. 12
  27. 7
  28. 289
  29. 0.073
  30. 16
  31. 64
  32. 1728
  33. 27
  34. 2
  35. 35
  36. 58
  37. 4
  38. 20
  39. 12
  40. 36

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