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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 70 · 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.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  2. 2.A trapezium has an area of 119 square cm. Its parallel sides are 10 cm and 7 cm. What is the distance between them (in cm)?
  3. 3.Write 9.1 × 10⁻² as a decimal. =
  4. 4.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  5. 5.What is √2601? =
  6. 6.What is 73²? =
  7. 7.A room is 6 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  9. 9.Solve: x/3 + x/5 = 64. What is x?
  10. 10.Write 7² × 7⁶ as a single power 7ⁿ. What is n?
  11. 11.A town has 57500 people. The population grows by 8% every year. What will the population be after 2 years?
  12. 12.A cuboid is 14 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  13. 13.What is the value of 5⁴? =
  14. 14.What is 82²? =
  15. 15.What is the value of 2¹⁵? =
  16. 16.What is √289? =
  17. 17.Find the compound interest on ₹29800 at 10% per year for 2 years, compounded every year (in ₹).
  18. 18.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.Solve: 4(n − 5) = n + 1. What is n?
  21. 21.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  22. 22.Use (a − b)² = a² − 2ab + b² to find 35².
  23. 23.Which of these is a perfect cube? (a) 64 (b) 69 (c) 95
  24. 24.Use (a + b)² = a² + 2ab + b² to find 105².
  25. 25.2 × 10⁵ =
  26. 26.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  27. 27.How many whole numbers lie between 33² and 34²?
  28. 28.Write 1,800 in standard form as 1.8 × 10ⁿ. What is n?
  29. 29.The diagonals of a rhombus are 8 cm and 26 cm. What is its area (in square cm)?
  30. 30.Find the compound interest on ₹27500 at 8% per year for 2 years, compounded every year (in ₹).
  31. 31.A room is 10 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.Which of these is a perfect cube? (a) 542 (b) 655 (c) 512
  33. 33.Solve: 6m + 11 = m + 21. What is m?
  34. 34.What is 19³? =
  35. 35.If a + b = 21 and ab = 110, what is a² + b²?
  36. 36.Find the compound interest on ₹12000 at 10% per year for 1 year, compounded every year (in ₹).
  37. 37.Use (a − b)² = a² − 2ab + b² to find 71².
  38. 38.What is 89²? =
  39. 39.What is 17³? =
  40. 40.Use (a − b)² = a² − 2ab + b² to find 16².

Answer key

  1. 5
  2. 14
  3. 0.091
  4. 25
  5. 51
  6. 5329
  7. 110
  8. 10
  9. 120
  10. 8
  11. 67068
  12. 808
  13. 625
  14. 6724
  15. 32768
  16. 17
  17. 6258
  18. 27
  19. 64
  20. 7
  21. 13
  22. 1225
  23. 64
  24. 11025
  25. 200000
  26. 5
  27. 66
  28. 3
  29. 104
  30. 4576
  31. 170
  32. 512
  33. 2
  34. 6859
  35. 221
  36. 1200
  37. 5041
  38. 7921
  39. 4913
  40. 256

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