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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 125 · 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 ₹53600 at 5% per year for 2 years (in ₹)?
  2. 2.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  3. 3.What is the value of 5⁵ × 5⁻⁵? =
  4. 4.What is the difference between the compound interest and the simple interest on ₹60000 at 12% per year for 2 years (in ₹)?
  5. 5.Find the value of x² − 2xy + y² when x = 8 and y = 7.
  6. 6.Find the compound interest on ₹23200 at 8% per year for 1 year, compounded every year (in ₹).
  7. 7.Solve: x/6 + x/3 = 21. What is x?
  8. 8.How many whole numbers lie between 20² and 21²?
  9. 9.The sum of two consecutive whole numbers is 37. What is the largest of them?
  10. 10.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  11. 11.Find the value of x² + 2xy + y² when x = 14 and y = 10.
  12. 12.Solve: 6(t − 3) = 4t + 26. What is t?
  13. 13.If a + b = 9 and ab = 14, what is a² + b²?
  14. 14.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  15. 15.What is 11³? =
  16. 16.What amount will ₹57500 grow to in 2 years at 12% per year compound interest (in ₹)?
  17. 17.Use (a + b)(a − b) = a² − b² to find 72 × 68.
  18. 18.What is the value of (5/8)⁻²? =
  19. 19.What is the value of 10³ × 10⁻¹? =
  20. 20.Which of these is a perfect cube? (a) 1031 (b) 1000 (c) 1274
  21. 21.What is ∛1331? =
  22. 22.If a − b = 8 and ab = 20, what is a² + b²?
  23. 23.What is 12³? =
  24. 24.Which of these is a perfect square? (a) 1001 (b) 1005 (c) 961
  25. 25.Write (8⁵)⁴ as a single power 8ⁿ. What is n?
  26. 26.What is 74²? =
  27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  28. 28.The diagonals of a rhombus are 6 cm and 29 cm. What is its area (in square cm)?
  29. 29.Use (a + b)² = a² + 2ab + b² to find 55².
  30. 30.Solve: x/4 + x/3 = 21. What is x?
  31. 31.What is the value of 10³ × 10⁻³? =
  32. 32.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  33. 33.A scooter is worth ₹18500. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  34. 34.If a − b = 2 and ab = 3, what is a² + b²?
  35. 35.A trapezium has parallel sides of 4 cm and 20 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  36. 36.Use (a − b)² = a² − 2ab + b² to find 13².
  37. 37.Use (a + b)² = a² + 2ab + b² to find 107².
  38. 38.The sum of four consecutive whole numbers is 74. What is the smallest of them?
  39. 39.What is 40²? =
  40. 40.What is 16³? =

Answer key

  1. 134
  2. 20
  3. 1
  4. 864
  5. 1
  6. 1856
  7. 42
  8. 40
  9. 19
  10. 18
  11. 576
  12. 22
  13. 53
  14. 4
  15. 1331
  16. 72128
  17. 4896
  18. 64/25
  19. 100
  20. 1000
  21. 11
  22. 104
  23. 1728
  24. 961
  25. 20
  26. 5476
  27. 5
  28. 87
  29. 3025
  30. 36
  31. 1
  32. 12
  33. 17760
  34. 10
  35. 84
  36. 169
  37. 11449
  38. 17
  39. 1600
  40. 4096

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