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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 443 · 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.Find the compound interest on ₹55000 at 12% per year for 2 years, compounded every year (in ₹).
  2. 2.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  3. 3.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  4. 4.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  5. 5.A square garden has an area of 2601 square m. How long is each side (in m)?
  6. 6.What is the value of 3⁸? =
  7. 7.The sum of two consecutive whole numbers is 101. What is the largest of them?
  8. 8.A square garden has an area of 1600 square m. How long is each side (in m)?
  9. 9.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  10. 10.A square garden has an area of 289 square m. How long is each side (in m)?
  11. 11.What is the difference between the compound interest and the simple interest on ₹36000 at 5% per year for 2 years (in ₹)?
  12. 12.What is 69²? =
  13. 13.Use (a + b)² = a² + 2ab + b² to find 54².
  14. 14.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  15. 15.A square garden has an area of 961 square m. How long is each side (in m)?
  16. 16.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  17. 17.Find the compound interest on ₹10900 at 15% per year for 1 year, compounded every year (in ₹).
  18. 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  19. 19.How many whole numbers lie between 23² and 24²?
  20. 20.What is 5³? =
  21. 21.What is the value of 10⁴? =
  22. 22.What is 2³? =
  23. 23.Write 3² × 3³ as a single power 3ⁿ. What is n?
  24. 24.Use (a + b)² = a² + 2ab + b² to find 64².
  25. 25.What is the value of 3¹ × 3⁻⁶? =
  26. 26.A room is 11 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.What is 14³? =
  28. 28.What is ∛2744? =
  29. 29.A town has 26700 people. The population grows by 8% every year. What will the population be after 1 year?
  30. 30.What is ∛6859? =
  31. 31.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  32. 32.What is ∛2197? =
  33. 33.Write 9⁶ × 9⁹ as a single power 9ⁿ. What is n?
  34. 34.A cuboid is 5 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  35. 35.How many whole numbers lie between 11² and 12²?
  36. 36.What is the value of 2¹⁵? =
  37. 37.A father is 20 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  38. 38.A town has 38400 people. The population grows by 5% every year. What will the population be after 2 years?
  39. 39.Write (7⁸)⁹ as a single power 7ⁿ. What is n?
  40. 40.What amount will ₹47500 grow to in 1 year at 15% per year compound interest (in ₹)?

Answer key

  1. 13992
  2. 2
  3. 23
  4. 294
  5. 51
  6. 6561
  7. 51
  8. 40
  9. 2
  10. 17
  11. 90
  12. 4761
  13. 2916
  14. 576
  15. 31
  16. 12
  17. 1635
  18. 10
  19. 46
  20. 125
  21. 10000
  22. 8
  23. 5
  24. 4096
  25. 1/243
  26. 152
  27. 2744
  28. 14
  29. 28836
  30. 19
  31. 21
  32. 13
  33. 15
  34. 148
  35. 22
  36. 32768
  37. 6
  38. 42336
  39. 72
  40. 54625

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