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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 444 · 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.Which of these is a perfect square? (a) 135 (b) 141 (c) 121
  2. 2.2 × 10⁴ =
  3. 3.What amount will ₹58000 grow to in 3 years at 10% per year compound interest (in ₹)?
  4. 4.Find the compound interest on ₹30000 at 20% per year for 2 years, compounded every year (in ₹).
  5. 5.What is the value of 2¹ × 2⁻⁵? =
  6. 6.A town has 37300 people. The population grows by 20% every year. What will the population be after 2 years?
  7. 7.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.What is the value of 3⁻² (as a fraction)? =
  9. 9.Write 3.2 × 10⁻⁴ as a decimal. =
  10. 10.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  11. 11.Write 9⁶ × 9³ as a single power 9ⁿ. What is n?
  12. 12.Use (a − b)² = a² − 2ab + b² to find 23².
  13. 13.A trapezium has an area of 198 square cm. Its parallel sides are 8 cm and 25 cm. What is the distance between them (in cm)?
  14. 14.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
  15. 15.How many whole numbers lie between 23² and 24²?
  16. 16.A scooter is worth ₹56900. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  17. 17.A trapezium has parallel sides of 22 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  18. 18.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  19. 19.What is 77²? =
  20. 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.A cuboid is 10 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  22. 22.If a − b = 3 and ab = 4, what is a² + b²?
  23. 23.What is ∛512? =
  24. 24.What is the value of 5³? =
  25. 25.A father is 39 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  26. 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  27. 27.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  28. 28.What is the value of 2⁵? =
  29. 29.A father is 24 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  30. 30.A cuboid is 4 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
  31. 31.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  32. 32.What is 13²? =
  33. 33.What is ∛1728? =
  34. 34.Use a² − b² = (a + b)(a − b) to find 20² − 2².
  35. 35.Find the compound interest on ₹52000 at 5% per year for 1 year, compounded every year (in ₹).
  36. 36.The sum of two consecutive whole numbers is 47. What is the smallest of them?
  37. 37.Write 4¹³ ÷ 4⁷ as a single power 4ⁿ. What is n?
  38. 38.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  39. 39.Find the compound interest on ₹47100 at 4% per year for 1 year, compounded every year (in ₹).
  40. 40.A scooter is worth ₹40600. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?

Answer key

  1. 121
  2. 20000
  3. 77198
  4. 13200
  5. 1/16
  6. 53712
  7. 48
  8. 1/9
  9. 0.00032
  10. 21
  11. 9
  12. 529
  13. 12
  14. 46305
  15. 46
  16. 45520
  17. 51
  18. 4
  19. 5929
  20. 6
  21. 400
  22. 17
  23. 8
  24. 125
  25. 6
  26. 9
  27. 2646
  28. 32
  29. 4
  30. 276
  31. 15
  32. 169
  33. 12
  34. 396
  35. 2600
  36. 23
  37. 6
  38. 216
  39. 1884
  40. 30450

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