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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 262 · 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 diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  2. 2.What is the difference between the compound interest and the simple interest on ₹50000 at 4% per year for 2 years (in ₹)?
  3. 3.Use a² − b² = (a + b)(a − b) to find 26² − 22².
  4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 95².
  6. 6.Write 7,00,00,000 in standard form as 7 × 10ⁿ. What is n?
  7. 7.What is the smallest whole number by which 216 must be multiplied to get a perfect square?
  8. 8.Write 59,000 in standard form as 5.9 × 10ⁿ. What is n?
  9. 9.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  10. 10.Solve: 3(m − 2) = 2m + 1. What is m?
  11. 11.Use (a − b)² = a² − 2ab + b² to find 27².
  12. 12.The diagonals of a rhombus are 12 cm and 6 cm. What is its area (in square cm)?
  13. 13.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  14. 14.A cuboid is 5 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  15. 15.2.7 × 10² =
  16. 16.What is the value of 5²? =
  17. 17.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  18. 18.A square garden has an area of 25 square m. How long is each side (in m)?
  19. 19.What is ∛8000? =
  20. 20.A scooter is worth ₹20000. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  21. 21.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  22. 22.What is the value of 6³? =
  23. 23.Solve: 9p + 8 = 2p + 106. What is p?
  24. 24.A town has 58400 people. The population grows by 25% every year. What will the population be after 2 years?
  25. 25.What is the value of 3³ × 3⁻⁴? =
  26. 26.Find the compound interest on ₹40500 at 8% per year for 1 year, compounded every year (in ₹).
  27. 27.Write 1.5 × 10⁻² as a decimal. =
  28. 28.What is the value of 2¹⁵? =
  29. 29.Find the compound interest on ₹10000 at 10% per year for 3 years, compounded every year (in ₹).
  30. 30.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 56 must be multiplied to get a perfect square?
  32. 32.Solve: 4(p − 4) = 2p + 14. What is p?
  33. 33.What is √5776? =
  34. 34.What is the value of (6/7)⁻¹? =
  35. 35.Use (a − b)² = a² − 2ab + b² to find 41².
  36. 36.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.What is the value of 5⁶ × 5⁻⁵? =
  38. 38.Use (a + b)² = a² + 2ab + b² to find 22².
  39. 39.Use a² − b² = (a + b)(a − b) to find 36² − 25².
  40. 40.Solve: 4p + 2 = p + 17. What is p?

Answer key

  1. 35
  2. 80
  3. 192
  4. 20
  5. 9025
  6. 7
  7. 6
  8. 4
  9. 12
  10. 7
  11. 729
  12. 36
  13. 4
  14. 342
  15. 270
  16. 25
  17. 2
  18. 5
  19. 20
  20. 18432
  21. 8
  22. 216
  23. 14
  24. 91250
  25. 1/3
  26. 3240
  27. 0.015
  28. 32768
  29. 3310
  30. 12
  31. 14
  32. 15
  33. 76
  34. 7/6
  35. 1681
  36. 110
  37. 5
  38. 484
  39. 671
  40. 5

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