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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 514 · 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.Solve: x/3 + x/2 = 25. What is x?
  2. 2.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  3. 3.What is the difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
  4. 4.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  5. 5.What is 20³? =
  6. 6.Find the value of x² − 2xy + y² when x = 13 and y = 3.
  7. 7.Solve: m/3 + m/4 = 7. What is m?
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.Use a² − b² = (a + b)(a − b) to find 51² − 43².
  10. 10.What is √5625? =
  11. 11.What is the difference between the compound interest and the simple interest on ₹20000 at 10% per year for 2 years (in ₹)?
  12. 12.Use (a + b)² = a² + 2ab + b² to find 31².
  13. 13.What is √8464? =
  14. 14.What is the value of 2²? =
  15. 15.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  16. 16.Use (a + b)² = a² + 2ab + b² to find 81².
  17. 17.Write 4,10,00,000 in standard form as 4.1 × 10ⁿ. What is n?
  18. 18.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  19. 19.A scooter is worth ₹24800. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  20. 20.What is √729? =
  21. 21.Write 62,00,000 in standard form as 6.2 × 10ⁿ. What is n?
  22. 22.Write 3.9 × 10⁻¹ as a decimal. =
  23. 23.Which of these is a perfect square? (a) 717 (b) 696 (c) 676
  24. 24.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  25. 25.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  26. 26.What is the value of 4⁻¹ (as a fraction)? =
  27. 27.Write 3.3 × 10⁻⁴ as a decimal. =
  28. 28.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  29. 29.What is the value of (2/9)⁻¹? =
  30. 30.What is 9³? =
  31. 31.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
  32. 32.What is the difference between the compound interest and the simple interest on ₹55000 at 4% per year for 2 years (in ₹)?
  33. 33.Write 3¹⁴ ÷ 3⁵ as a single power 3ⁿ. What is n?
  34. 34.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  35. 35.What is the value of 3² × 3⁻¹? =
  36. 36.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  37. 37.If a − b = 1 and ab = 12, what is a² + b²?
  38. 38.Which of these is a perfect square? (a) 1167 (b) 1156 (c) 1205
  39. 39.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  40. 40.Solve: 5(n − 1) = 4n + 5. What is n?

Answer key

  1. 30
  2. 294
  3. 60
  4. 23
  5. 8000
  6. 100
  7. 12
  8. 8
  9. 752
  10. 75
  11. 200
  12. 961
  13. 92
  14. 4
  15. 24
  16. 6561
  17. 7
  18. 676
  19. 21824
  20. 27
  21. 6
  22. 0.39
  23. 676
  24. 108
  25. 64
  26. 1/4
  27. 0.00033
  28. 9
  29. 9/2
  30. 729
  31. 92
  32. 88
  33. 9
  34. 25
  35. 3
  36. 17
  37. 25
  38. 1156
  39. 9
  40. 10

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