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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 439 · 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.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  2. 2.A town has 37600 people. The population grows by 25% every year. What will the population be after 2 years?
  3. 3.Use (a + b)(a − b) = a² − b² to find 48 × 32.
  4. 4.Find the compound interest on ₹36000 at 20% per year for 2 years, compounded every year (in ₹).
  5. 5.Solve: 8y + 3 = 7y + 17. What is y?
  6. 6.What is √900? =
  7. 7.Solve: t/2 + t/3 = 15. What is t?
  8. 8.Use (a − b)² = a² − 2ab + b² to find 16².
  9. 9.Find the compound interest on ₹48000 at 25% per year for 3 years, compounded every year (in ₹).
  10. 10.What is 7³? =
  11. 11.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is 9³? =
  13. 13.What is ∛27? =
  14. 14.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.Find the compound interest on ₹43600 at 20% per year for 2 years, compounded every year (in ₹).
  16. 16.The sum of four consecutive whole numbers is 170. What is the smallest of them?
  17. 17.What amount will ₹46500 grow to in 1 year at 20% per year compound interest (in ₹)?
  18. 18.9 × 10² =
  19. 19.What is 8³? =
  20. 20.A town has 17000 people. The population grows by 5% every year. What will the population be after 1 year?
  21. 21.What is √676? =
  22. 22.A cuboid is 14 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  23. 23.A cuboid is 12 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  24. 24.What is 2³? =
  25. 25.Solve: 4(p − 2) = 2p + 8. What is p?
  26. 26.How many whole numbers lie between 24² and 25²?
  27. 27.The sum of two consecutive whole numbers is 41. What is the largest of them?
  28. 28.A town has 56000 people. The population grows by 15% every year. What will the population be after 3 years?
  29. 29.Use a² − b² = (a + b)(a − b) to find 82² − 77².
  30. 30.What is the value of 10⁴ × 10⁻¹? =
  31. 31.Use (a + b)² = a² + 2ab + b² to find 58².
  32. 32.Find the compound interest on ₹21200 at 4% per year for 1 year, compounded every year (in ₹).
  33. 33.What is ∛64? =
  34. 34.What is the value of (1/4)⁻²? =
  35. 35.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  36. 36.Use (a + b)(a − b) = a² − b² to find 63 × 57.
  37. 37.What is the value of 3⁶ × 3⁻¹? =
  38. 38.What is ∛5832? =
  39. 39.A scooter is worth ₹17000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  40. 40.What is the smallest whole number by which 162 must be multiplied to get a perfect square?

Answer key

  1. 2
  2. 58750
  3. 1536
  4. 15840
  5. 14
  6. 30
  7. 18
  8. 256
  9. 45750
  10. 343
  11. 27
  12. 729
  13. 3
  14. 216
  15. 19184
  16. 41
  17. 55800
  18. 900
  19. 512
  20. 17850
  21. 26
  22. 186
  23. 360
  24. 8
  25. 8
  26. 48
  27. 21
  28. 85169
  29. 795
  30. 1000
  31. 3364
  32. 848
  33. 4
  34. 16
  35. 5
  36. 3591
  37. 243
  38. 18
  39. 12393
  40. 2

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