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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 181 · 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.Solve: 6(m − 2) = 5m + 3. What is m?
  2. 2.The sum of four consecutive whole numbers is 246. What is the largest of them?
  3. 3.Find the compound interest on ₹14400 at 12% per year for 1 year, compounded every year (in ₹).
  4. 4.Solve: 3(p − 2) = 2p + 3. What is p?
  5. 5.Write 5⁸ × 5⁸ as a single power 5ⁿ. What is n?
  6. 6.A scooter is worth ₹57700. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  7. 7.Find the compound interest on ₹6000 at 10% per year for 1 year, compounded every year (in ₹).
  8. 8.What is the value of 2¹ × 2⁻³? =
  9. 9.What is 10³? =
  10. 10.Find the compound interest on ₹32300 at 20% per year for 2 years, compounded every year (in ₹).
  11. 11.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  12. 12.A trapezium has an area of 495 square cm. Its parallel sides are 29 cm and 26 cm. What is the distance between them (in cm)?
  13. 13.Use a² − b² = (a + b)(a − b) to find 94² − 4².
  14. 14.A cuboid is 13 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 28².
  16. 16.What is the difference between the compound interest and the simple interest on ₹32300 at 10% per year for 2 years (in ₹)?
  17. 17.What is 49²? =
  18. 18.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
  19. 19.Write 7⁶ ÷ 7² as a single power 7ⁿ. What is n?
  20. 20.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
  21. 21.Use (a − b)² = a² − 2ab + b² to find 26².
  22. 22.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  23. 23.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  24. 24.What is 20³? =
  25. 25.Write 9⁴ × 9² as a single power 9ⁿ. What is n?
  26. 26.The sum of three consecutive whole numbers is 57. What is the smallest of them?
  27. 27.If a − b = 3 and ab = 28, what is a² + b²?
  28. 28.What is the value of 6⁵? =
  29. 29.A cuboid is 14 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  30. 30.If a + b = 5 and ab = 4, what is a² + b²?
  31. 31.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
  32. 32.Use (a + b)(a − b) = a² − b² to find 72 × 68.
  33. 33.A town has 52000 people. The population grows by 15% every year. What will the population be after 2 years?
  34. 34.What is the value of 3⁻⁴ (as a fraction)? =
  35. 35.How many whole numbers lie between 45² and 46²?
  36. 36.What is √4900? =
  37. 37.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
  38. 38.The sum of three consecutive whole numbers is 132. What is the largest of them?
  39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?

Answer key

  1. 15
  2. 63
  3. 1728
  4. 9
  5. 16
  6. 46160
  7. 600
  8. 1/4
  9. 1000
  10. 14212
  11. 3456
  12. 18
  13. 8820
  14. 232
  15. 784
  16. 323
  17. 2401
  18. 612
  19. 4
  20. 9261
  21. 676
  22. 7
  23. 7
  24. 8000
  25. 6
  26. 18
  27. 65
  28. 7776
  29. 492
  30. 17
  31. 4
  32. 4896
  33. 68770
  34. 1/81
  35. 90
  36. 70
  37. 16
  38. 45
  39. 6
  40. 2

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