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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 876 · 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. 1.3.3 × 10⁵ =
  2. 2.Write 7³ × 7⁵ as a single power 7ⁿ. What is n?
  3. 3.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  4. 4.A father is 15 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  5. 5.What is √5776? =
  6. 6.Use (a + b)² = a² + 2ab + b² to find 39².
  7. 7.What is the difference between the compound interest and the simple interest on ₹38900 at 10% per year for 2 years (in ₹)?
  8. 8.Solve: 8x + 10 = 7x + 16. What is x?
  9. 9.What is the value of 4²? =
  10. 10.Find the value of x² − y² when x = 6 and y = 5.
  11. 11.Use (a + b)(a − b) = a² − b² to find 73 × 67.
  12. 12.What is the difference between the compound interest and the simple interest on ₹54000 at 15% per year for 2 years (in ₹)?
  13. 13.Write 9¹¹ ÷ 9⁵ as a single power 9ⁿ. What is n?
  14. 14.How many whole numbers lie between 6² and 7²?
  15. 15.Use (a + b)² = a² + 2ab + b² to find 92².
  16. 16.Which of these is a perfect square? (a) 1011 (b) 998 (c) 961
  17. 17.Which of these is a perfect cube? (a) 196 (b) 125 (c) 175
  18. 18.What is the value of 10⁵ × 10⁻³? =
  19. 19.Use (a + b)(a − b) = a² − b² to find 108 × 92.
  20. 20.What is the smallest whole number by which 343 must be multiplied to get a perfect square?
  21. 21.Solve: n/5 + n/3 = 48. What is n?
  22. 22.Use (a − b)² = a² − 2ab + b² to find 86².
  23. 23.A trapezium has an area of 300 square cm. Its parallel sides are 6 cm and 24 cm. What is the distance between them (in cm)?
  24. 24.A trapezium has an area of 296 square cm. Its parallel sides are 20 cm and 17 cm. What is the distance between them (in cm)?
  25. 25.Write 2.8 × 10⁻¹ as a decimal. =
  26. 26.What is 6³? =
  27. 27.Find the compound interest on ₹16500 at 25% per year for 1 year, compounded every year (in ₹).
  28. 28.A square garden has an area of 900 square m. How long is each side (in m)?
  29. 29.What is 71²? =
  30. 30.The sum of two consecutive whole numbers is 103. What is the largest of them?
  31. 31.What amount will ₹2000 grow to in 3 years at 10% per year compound interest (in ₹)?
  32. 32.What is the smallest whole number by which 490 must be divided to get a perfect square?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 75².
  34. 34.What is the value of 6⁻¹ (as a fraction)? =
  35. 35.What is the value of 2¹ × 2⁻⁶? =
  36. 36.A town has 56800 people. The population grows by 25% every year. What will the population be after 2 years?
  37. 37.Solve: 3y + 16 = 2y + 19. What is y?
  38. 38.What is √8464? =
  39. 39.What is 12³? =
  40. 40.Find the value of x² − 2xy + y² when x = 12 and y = 9.

Answer key

  1. 330000
  2. 8
  3. 289
  4. 2
  5. 76
  6. 1521
  7. 389
  8. 6
  9. 16
  10. 11
  11. 4891
  12. 1215
  13. 6
  14. 12
  15. 8464
  16. 961
  17. 125
  18. 100
  19. 9936
  20. 7
  21. 90
  22. 7396
  23. 20
  24. 16
  25. 0.28
  26. 216
  27. 4125
  28. 30
  29. 5041
  30. 52
  31. 2662
  32. 10
  33. 5625
  34. 1/6
  35. 1/32
  36. 88750
  37. 3
  38. 92
  39. 1728
  40. 9

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