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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 105 · 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.What is the difference between the compound interest and the simple interest on ₹55000 at 4% per year for 2 years (in ₹)?
  2. 2.What amount will ₹11800 grow to in 1 year at 10% per year compound interest (in ₹)?
  3. 3.What is ∛8? =
  4. 4.Write 480 in standard form as 4.8 × 10ⁿ. What is n?
  5. 5.What is the value of (3/7)⁻¹? =
  6. 6.Find the compound interest on ₹42900 at 12% per year for 1 year, compounded every year (in ₹).
  7. 7.Solve: 3(y − 3) = 2y + 9. What is y?
  8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  9. 9.What is the value of (2/5)⁻²? =
  10. 10.What is √2209? =
  11. 11.A square garden has an area of 1296 square m. How long is each side (in m)?
  12. 12.A cuboid is 13 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  13. 13.What amount will ₹10600 grow to in 1 year at 15% per year compound interest (in ₹)?
  14. 14.How many whole numbers lie between 43² and 44²?
  15. 15.The diagonals of a rhombus are 26 cm and 21 cm. What is its area (in square cm)?
  16. 16.What is the value of 5² × 5⁻³? =
  17. 17.What is 4³? =
  18. 18.How many whole numbers lie between 48² and 49²?
  19. 19.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  20. 20.How many whole numbers lie between 49² and 50²?
  21. 21.If a − b = 3 and ab = 18, what is a² + b²?
  22. 22.What is √9216? =
  23. 23.Use a² − b² = (a + b)(a − b) to find 36² − 1².
  24. 24.What is the difference between the compound interest and the simple interest on ₹20000 at 12% per year for 2 years (in ₹)?
  25. 25.A square garden has an area of 3249 square m. How long is each side (in m)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 28².
  27. 27.Use (a + b)² = a² + 2ab + b² to find 69².
  28. 28.Use (a + b)(a − b) = a² − b² to find 103 × 97.
  29. 29.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  30. 30.A scooter is worth ₹54000. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  31. 31.A trapezium has parallel sides of 4 cm and 14 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  32. 32.What amount will ₹56600 grow to in 1 year at 20% per year compound interest (in ₹)?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 12².
  34. 34.Find the compound interest on ₹10000 at 25% per year for 2 years, compounded every year (in ₹).
  35. 35.What is 20³? =
  36. 36.What is 5³? =
  37. 37.Write 6,30,000 in standard form as 6.3 × 10ⁿ. What is n?
  38. 38.Find the compound interest on ₹14400 at 25% per year for 3 years, compounded every year (in ₹).
  39. 39.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
  40. 40.Which of these is a perfect cube? (a) 125 (b) 183 (c) 193

Answer key

  1. 88
  2. 12980
  3. 2
  4. 2
  5. 7/3
  6. 5148
  7. 18
  8. 8
  9. 25/4
  10. 47
  11. 36
  12. 142
  13. 12190
  14. 86
  15. 273
  16. 1/5
  17. 64
  18. 96
  19. 784
  20. 98
  21. 45
  22. 96
  23. 1295
  24. 288
  25. 57
  26. 784
  27. 4761
  28. 9991
  29. 4
  30. 48735
  31. 135
  32. 67920
  33. 144
  34. 5625
  35. 8000
  36. 125
  37. 5
  38. 13725
  39. 55
  40. 125

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