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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 218 · 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 cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  2. 2.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  3. 3.The sum of two consecutive whole numbers is 117. What is the smallest of them?
  4. 4.What is the smallest whole number by which 176 must be divided to get a perfect square?
  5. 5.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.Use a² − b² = (a + b)(a − b) to find 85² − 23².
  7. 7.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.A square garden has an area of 2401 square m. How long is each side (in m)?
  9. 9.Find the compound interest on ₹29900 at 10% per year for 1 year, compounded every year (in ₹).
  10. 10.Use (a + b)(a − b) = a² − b² to find 107 × 93.
  11. 11.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  12. 12.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  13. 13.Use a² − b² = (a + b)(a − b) to find 77² − 58².
  14. 14.What is ∛216? =
  15. 15.What is the value of 2⁶? =
  16. 16.What is ∛4913? =
  17. 17.A scooter is worth ₹7400. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  18. 18.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 12 cm and 5 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  20. 20.What is 2³? =
  21. 21.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.A trapezium has an area of 57 square cm. Its parallel sides are 29 cm and 28 cm. What is the distance between them (in cm)?
  23. 23.Find the compound interest on ₹48000 at 15% per year for 3 years, compounded every year (in ₹).
  24. 24.What is the value of 2⁻¹ (as a fraction)? =
  25. 25.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.What is ∛8000? =
  27. 27.What is the difference between the compound interest and the simple interest on ₹5000 at 12% per year for 2 years (in ₹)?
  28. 28.What is 44²? =
  29. 29.What is the value of 3³ × 3⁻³? =
  30. 30.Use a² − b² = (a + b)(a − b) to find 58² − 45².
  31. 31.A father is 20 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?
  32. 32.What is 20³? =
  33. 33.What is the value of 4⁴? =
  34. 34.What is 14³? =
  35. 35.The length of a rectangle is 13 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  36. 36.If a + b = 7 and ab = 12, what is a² + b²?
  37. 37.What is the value of (1/9)⁻¹? =
  38. 38.What is 43²? =
  39. 39.What is the value of 2³ × 2⁻⁴? =
  40. 40.What is √4489? =

Answer key

  1. 12
  2. 729
  3. 58
  4. 11
  5. 120
  6. 6696
  7. 125
  8. 49
  9. 2990
  10. 9951
  11. 7
  12. 9
  13. 2565
  14. 6
  15. 64
  16. 17
  17. 6290
  18. 486
  19. 119
  20. 8
  21. 27
  22. 2
  23. 25002
  24. 1/2
  25. 8
  26. 20
  27. 72
  28. 1936
  29. 1
  30. 1339
  31. 5
  32. 8000
  33. 256
  34. 2744
  35. 23
  36. 25
  37. 9
  38. 1849
  39. 1/2
  40. 67

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