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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 928 · 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.If a − b = 3 and ab = 4, what is a² + b²?
  2. 2.Use (a + b)² = a² + 2ab + b² to find 64².
  3. 3.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  4. 4.What amount will ₹6100 grow to in 1 year at 25% per year compound interest (in ₹)?
  5. 5.A father is 36 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  6. 6.What is the value of 10¹ × 10⁻²? =
  7. 7.Write 2,100 in standard form as 2.1 × 10ⁿ. What is n?
  8. 8.Find the compound interest on ₹16000 at 25% per year for 3 years, compounded every year (in ₹).
  9. 9.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.A scooter is worth ₹40000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  11. 11.Solve: 5(y − 1) = 3y + 9. What is y?
  12. 12.A scooter is worth ₹24600. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  13. 13.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  14. 14.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  15. 15.Find the compound interest on ₹35000 at 4% per year for 2 years, compounded every year (in ₹).
  16. 16.What is 6³? =
  17. 17.What is ∛512? =
  18. 18.What is 28²? =
  19. 19.Which of these is a perfect cube? (a) 1297 (b) 1000 (c) 1001
  20. 20.What is the value of 10⁶ × 10⁻⁵? =
  21. 21.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  22. 22.A square garden has an area of 2116 square m. How long is each side (in m)?
  23. 23.What is the value of 10⁵ × 10⁻⁴? =
  24. 24.Use (a + b)² = a² + 2ab + b² to find 21².
  25. 25.Solve: y/3 + y/4 = 21. What is y?
  26. 26.Solve: p/6 + p/4 = 10. What is p?
  27. 27.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  28. 28.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  29. 29.If a − b = 1 and ab = 12, what is a² + b²?
  30. 30.Solve: 4x + 1 = 2x + 17. What is x?
  31. 31.What is the difference between the compound interest and the simple interest on ₹18000 at 5% per year for 2 years (in ₹)?
  32. 32.Use (a + b)(a − b) = a² − b² to find 44 × 36.
  33. 33.What is 13³? =
  34. 34.3.2 × 10² =
  35. 35.What is 12²? =
  36. 36.What is the value of 8²? =
  37. 37.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  38. 38.What is 18²? =
  39. 39.Use (a + b)² = a² + 2ab + b² to find 43².
  40. 40.Solve: 9y + 5 = 3y + 53. What is y?

Answer key

  1. 17
  2. 4096
  3. 17
  4. 7625
  5. 7
  6. 1/10
  7. 3
  8. 15250
  9. 27
  10. 24565
  11. 7
  12. 23370
  13. 1734
  14. 3750
  15. 2856
  16. 216
  17. 8
  18. 784
  19. 1000
  20. 10
  21. 6
  22. 46
  23. 10
  24. 441
  25. 36
  26. 24
  27. 13
  28. 6
  29. 25
  30. 8
  31. 45
  32. 1584
  33. 2197
  34. 320
  35. 144
  36. 64
  37. 216
  38. 324
  39. 1849
  40. 8

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