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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 642 · 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 (a − b)² = a² − 2ab + b² to find 89².
  2. 2.Use (a − b)² = a² − 2ab + b² to find 19².
  3. 3.What is the difference between the compound interest and the simple interest on ₹33600 at 15% per year for 2 years (in ₹)?
  4. 4.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  5. 5.Use a² − b² = (a + b)(a − b) to find 37² − 23².
  6. 6.Write 6.2 × 10⁻² as a decimal. =
  7. 7.If a − b = 2 and ab = 48, what is a² + b²?
  8. 8.Solve: 8y + 10 = 5y + 22. What is y?
  9. 9.What is 10³? =
  10. 10.Use (a − b)² = a² − 2ab + b² to find 61².
  11. 11.Use a² − b² = (a + b)(a − b) to find 50² − 11².
  12. 12.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
  13. 13.What is the smallest whole number by which 686 must be divided to get a perfect square?
  14. 14.Write (6⁶)⁸ as a single power 6ⁿ. What is n?
  15. 15.Write (6²)⁵ as a single power 6ⁿ. What is n?
  16. 16.Write (3⁵)⁹ as a single power 3ⁿ. What is n?
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is 9³? =
  19. 19.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  20. 20.The diagonals of a rhombus are 20 cm and 19 cm. What is its area (in square cm)?
  21. 21.How many whole numbers lie between 49² and 50²?
  22. 22.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  23. 23.Which of these is a perfect square? (a) 1398 (b) 1394 (c) 1369
  24. 24.Solve: y/5 + y/4 = 27. What is y?
  25. 25.6.6 × 10² =
  26. 26.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  27. 27.Solve: 3m + 7 = m + 37. What is m?
  28. 28.Find the value of x² + 2xy + y² when x = 4 and y = 2.
  29. 29.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  30. 30.Write 8⁹ ÷ 8² as a single power 8ⁿ. What is n?
  31. 31.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  32. 32.8.6 × 10⁶ =
  33. 33.What is 11³? =
  34. 34.Find the compound interest on ₹10000 at 8% per year for 2 years, compounded every year (in ₹).
  35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  36. 36.What is √4624? =
  37. 37.A trapezium has an area of 87 square cm. Its parallel sides are 11 cm and 18 cm. What is the distance between them (in cm)?
  38. 38.The sum of three consecutive whole numbers is 75. What is the largest of them?
  39. 39.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 26².

Answer key

  1. 7921
  2. 361
  3. 756
  4. 5
  5. 840
  6. 0.062
  7. 100
  8. 4
  9. 1000
  10. 3721
  11. 2379
  12. 80
  13. 14
  14. 48
  15. 10
  16. 45
  17. 8
  18. 729
  19. 169
  20. 190
  21. 98
  22. 729
  23. 1369
  24. 60
  25. 660
  26. 15
  27. 15
  28. 36
  29. 1734
  30. 7
  31. 16
  32. 8600000
  33. 1331
  34. 1664
  35. 7
  36. 68
  37. 6
  38. 26
  39. 25
  40. 676

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