← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 687 · 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.Find the value of x² − 2xy + y² when x = 8 and y = 2.
  2. 2.What is the smallest whole number by which 108 must be divided to get a perfect square?
  3. 3.The sum of four consecutive whole numbers is 174. What is the largest of them?
  4. 4.Which of these is a perfect cube? (a) 1151 (b) 1000 (c) 1007
  5. 5.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
  6. 6.Which of these is a perfect cube? (a) 3375 (b) 3721 (c) 3383
  7. 7.Write 8⁹ × 8⁹ as a single power 8ⁿ. What is n?
  8. 8.What is 43²? =
  9. 9.Solve: 7x + 11 = x + 47. What is x?
  10. 10.Which of these is a perfect cube? (a) 474 (b) 424 (c) 343
  11. 11.The sum of two consecutive whole numbers is 19. What is the smallest of them?
  12. 12.Solve: 4(m − 4) = 3m + 1. What is m?
  13. 13.The diagonals of a rhombus are 6 cm and 26 cm. What is its area (in square cm)?
  14. 14.A father is 30 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  15. 15.What is the value of 2⁴ × 2⁻⁴? =
  16. 16.Solve: x/5 + x/3 = 64. What is x?
  17. 17.A cuboid is 11 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  18. 18.Use a² − b² = (a + b)(a − b) to find 29² − 7².
  19. 19.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
  20. 20.What is ∛1000? =
  21. 21.What is the value of (1/6)⁻¹? =
  22. 22.The sum of two consecutive whole numbers is 23. What is the largest of them?
  23. 23.A trapezium has parallel sides of 24 cm and 5 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.Use a² − b² = (a + b)(a − b) to find 99² − 8².
  25. 25.A scooter is worth ₹27000. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 51².
  27. 27.Solve: 3t + 19 = t + 49. What is t?
  28. 28.The sum of two consecutive whole numbers is 89. What is the largest of them?
  29. 29.Find the value of x² − y² when x = 9 and y = 5.
  30. 30.The sum of three consecutive whole numbers is 183. What is the largest of them?
  31. 31.Use a² − b² = (a + b)(a − b) to find 29² − 28².
  32. 32.What is the value of (7/9)⁻²? =
  33. 33.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  34. 34.If a − b = 1 and ab = 6, what is a² + b²?
  35. 35.What is the value of 4⁷? =
  36. 36.Use (a + b)² = a² + 2ab + b² to find 96².
  37. 37.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 103².
  39. 39.If a − b = 1 and ab = 20, what is a² + b²?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 89².

Answer key

  1. 36
  2. 3
  3. 45
  4. 1000
  5. 88
  6. 3375
  7. 18
  8. 1849
  9. 6
  10. 343
  11. 9
  12. 17
  13. 78
  14. 8
  15. 1
  16. 120
  17. 174
  18. 792
  19. 46305
  20. 10
  21. 6
  22. 12
  23. 261
  24. 9737
  25. 24840
  26. 2601
  27. 15
  28. 45
  29. 56
  30. 62
  31. 57
  32. 81/49
  33. 6
  34. 13
  35. 16384
  36. 9216
  37. 14
  38. 10609
  39. 41
  40. 7921

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets