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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 914 · 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.A trapezium has parallel sides of 28 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  2. 2.The sum of three consecutive whole numbers is 42. What is the largest of them?
  3. 3.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  4. 4.What is the difference between the compound interest and the simple interest on ₹46000 at 5% per year for 2 years (in ₹)?
  5. 5.Write 8,30,000 in standard form as 8.3 × 10ⁿ. What is n?
  6. 6.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  7. 7.A trapezium has an area of 294 square cm. Its parallel sides are 27 cm and 15 cm. What is the distance between them (in cm)?
  8. 8.A trapezium has an area of 117 square cm. Its parallel sides are 10 cm and 16 cm. What is the distance between them (in cm)?
  9. 9.A cuboid is 8 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  10. 10.Find the compound interest on ₹23800 at 15% per year for 1 year, compounded every year (in ₹).
  11. 11.Solve: 6(m − 4) = 2m + 12. What is m?
  12. 12.What is 19³? =
  13. 13.What is the value of 8⁻³ (as a fraction)? =
  14. 14.What is the difference between the compound interest and the simple interest on ₹13200 at 25% per year for 2 years (in ₹)?
  15. 15.How many whole numbers lie between 39² and 40²?
  16. 16.The length of a rectangle is 13 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  18. 18.Use a² − b² = (a + b)(a − b) to find 88² − 65².
  19. 19.Solve: 5(n − 2) = 2n + 8. What is n?
  20. 20.What is the value of 2¹⁵? =
  21. 21.What is the value of 3² × 3⁻³? =
  22. 22.Write 9.7 × 10⁻¹ as a decimal. =
  23. 23.Write 2⁵ × 2⁶ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 5⁴ × 5⁻²? =
  25. 25.Use (a + b)(a − b) = a² − b² to find 93 × 87.
  26. 26.A trapezium has an area of 340 square cm. Its parallel sides are 6 cm and 28 cm. What is the distance between them (in cm)?
  27. 27.Write 3⁹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  28. 28.Write 8.7 × 10⁻¹ as a decimal. =
  29. 29.Solve: 5x + 3 = x + 43. What is x?
  30. 30.What is the value of 3⁹? =
  31. 31.Write 9.6 × 10⁻³ as a decimal. =
  32. 32.Write 3.7 × 10⁻⁴ as a decimal. =
  33. 33.Write 6.8 × 10⁻² as a decimal. =
  34. 34.What is the value of 5⁻³ (as a fraction)? =
  35. 35.Find the value of x² − y² when x = 5 and y = 4.
  36. 36.What is √1156? =
  37. 37.Find the compound interest on ₹35600 at 12% per year for 1 year, compounded every year (in ₹).
  38. 38.Solve: 5m + 2 = 3m + 24. What is m?
  39. 39.Write 8.7 × 10⁻³ as a decimal. =
  40. 40.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?

Answer key

  1. 342
  2. 15
  3. 5
  4. 115
  5. 5
  6. 19
  7. 14
  8. 9
  9. 264
  10. 3570
  11. 9
  12. 6859
  13. 1/512
  14. 825
  15. 78
  16. 29
  17. 7
  18. 3519
  19. 6
  20. 32768
  21. 1/3
  22. 0.97
  23. 11
  24. 25
  25. 8091
  26. 20
  27. 2
  28. 0.87
  29. 10
  30. 19683
  31. 0.0096
  32. 0.00037
  33. 0.068
  34. 1/125
  35. 9
  36. 34
  37. 4272
  38. 11
  39. 0.0087
  40. 96

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