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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 875 · 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)(a − b) = a² − b² to find 34 × 26.
  2. 2.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  3. 3.A cuboid is 13 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  4. 4.Write 3.5 × 10⁻⁴ as a decimal. =
  5. 5.Which of these is a perfect cube? (a) 27 (b) 31 (c) 53
  6. 6.A scooter is worth ₹57500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  7. 7.A cuboid is 8 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  8. 8.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  9. 9.Which of these is a perfect cube? (a) 88 (b) 64 (c) 69
  10. 10.Use a² − b² = (a + b)(a − b) to find 57² − 13².
  11. 11.A trapezium has an area of 140 square cm. Its parallel sides are 29 cm and 11 cm. What is the distance between them (in cm)?
  12. 12.4 × 10² =
  13. 13.A trapezium has parallel sides of 9 cm and 19 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  14. 14.Write 6.2 × 10⁻⁴ as a decimal. =
  15. 15.Find the value of x² − y² when x = 8 and y = 2.
  16. 16.Use a² − b² = (a + b)(a − b) to find 48² − 23².
  17. 17.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  18. 18.How many whole numbers lie between 40² and 41²?
  19. 19.A trapezium has parallel sides of 7 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  20. 20.Use (a + b)(a − b) = a² − b² to find 54 × 46.
  21. 21.Which of these is a perfect square? (a) 415 (b) 400 (c) 423
  22. 22.The length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  23. 23.What is the value of 3³ × 3⁻²? =
  24. 24.A town has 12000 people. The population grows by 25% every year. What will the population be after 2 years?
  25. 25.Solve: 6(t − 1) = 4t + 20. What is t?
  26. 26.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  27. 27.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  28. 28.Find the value of x² − y² when x = 5 and y = 4.
  29. 29.The sum of two consecutive whole numbers is 115. What is the smallest of them?
  30. 30.Solve: 3y + 17 = y + 33. What is y?
  31. 31.Find the value of x² + 2xy + y² when x = 7 and y = 6.
  32. 32.6.1 × 10⁷ =
  33. 33.How many whole numbers lie between 12² and 13²?
  34. 34.Solve: 4n + 11 = n + 20. What is n?
  35. 35.Use (a + b)² = a² + 2ab + b² to find 62².
  36. 36.The sum of four consecutive whole numbers is 246. What is the smallest of them?
  37. 37.Find the compound interest on ₹42500 at 20% per year for 3 years, compounded every year (in ₹).
  38. 38.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  39. 39.The sum of four consecutive whole numbers is 78. What is the largest of them?
  40. 40.What is the value of 2⁴? =

Answer key

  1. 884
  2. 256
  3. 398
  4. 0.00035
  5. 27
  6. 52992
  7. 592
  8. 529
  9. 64
  10. 3080
  11. 7
  12. 400
  13. 224
  14. 0.00062
  15. 60
  16. 1775
  17. 12
  18. 80
  19. 27
  20. 2484
  21. 400
  22. 11
  23. 3
  24. 18750
  25. 13
  26. 2
  27. 60
  28. 9
  29. 57
  30. 8
  31. 169
  32. 61000000
  33. 24
  34. 3
  35. 3844
  36. 60
  37. 30940
  38. 361
  39. 21
  40. 16

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