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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 311 · 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 77² − 68².
  2. 2.If a − b = 4 and ab = 32, what is a² + b²?
  3. 3.Use (a − b)² = a² − 2ab + b² to find 79².
  4. 4.Find the value of x² − y² when x = 3 and y = 2.
  5. 5.Write 8.9 × 10⁻² as a decimal. =
  6. 6.How many whole numbers lie between 23² and 24²?
  7. 7.A trapezium has an area of 105 square cm. Its parallel sides are 29 cm and 6 cm. What is the distance between them (in cm)?
  8. 8.Solve: 6(m − 2) = 3m + 9. What is m?
  9. 9.Write 46,00,000 in standard form as 4.6 × 10ⁿ. What is n?
  10. 10.What is √4356? =
  11. 11.Find the value of x² + 2xy + y² when x = 4 and y = 3.
  12. 12.What is 11³? =
  13. 13.Which of these is a perfect square? (a) 121 (b) 124 (c) 138
  14. 14.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  15. 15.If a + b = 10 and ab = 24, what is a² + b²?
  16. 16.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  17. 17.Use (a + b)(a − b) = a² − b² to find 105 × 95.
  18. 18.The length of a rectangle is 8 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  19. 19.Solve: y/4 + y/5 = 54. What is y?
  20. 20.What is 50²? =
  21. 21.Use (a + b)(a − b) = a² − b² to find 49 × 31.
  22. 22.A trapezium has parallel sides of 27 cm and 7 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  23. 23.What is ∛125? =
  24. 24.Use a² − b² = (a + b)(a − b) to find 90² − 49².
  25. 25.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
  26. 26.What is the smallest whole number by which 125 must be multiplied to get a perfect square?
  27. 27.A square garden has an area of 729 square m. How long is each side (in m)?
  28. 28.Solve: 8p + 4 = 7p + 18. What is p?
  29. 29.Find the compound interest on ₹44800 at 25% per year for 3 years, compounded every year (in ₹).
  30. 30.Use (a + b)(a − b) = a² − b² to find 81 × 79.
  31. 31.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  32. 32.What is ∛216? =
  33. 33.What is the value of 9³? =
  34. 34.What is √3364? =
  35. 35.Solve: 3m + 12 = m + 30. What is m?
  36. 36.What is √400? =
  37. 37.A trapezium has parallel sides of 5 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  38. 38.Use (a − b)² = a² − 2ab + b² to find 68².
  39. 39.A room is 8 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has parallel sides of 6 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?

Answer key

  1. 1305
  2. 80
  3. 6241
  4. 5
  5. 0.089
  6. 46
  7. 6
  8. 7
  9. 6
  10. 66
  11. 49
  12. 1331
  13. 121
  14. 4
  15. 52
  16. 5
  17. 9975
  18. 5
  19. 120
  20. 2500
  21. 1519
  22. 102
  23. 5
  24. 5699
  25. 161
  26. 5
  27. 27
  28. 14
  29. 42700
  30. 6399
  31. 2
  32. 6
  33. 729
  34. 58
  35. 9
  36. 20
  37. 7
  38. 4624
  39. 130
  40. 279

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