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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 601 · 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 value of 7⁵? =
  2. 2.What amount will ₹14400 grow to in 1 year at 15% per year compound interest (in ₹)?
  3. 3.What is the value of 5¹ × 5⁻¹? =
  4. 4.What is 28²? =
  5. 5.Use (a + b)² = a² + 2ab + b² to find 25².
  6. 6.A father is 12 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  7. 7.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  8. 8.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  9. 9.Solve: 3n + 1 = 2n + 14. What is n?
  10. 10.A square garden has an area of 361 square m. How long is each side (in m)?
  11. 11.A cuboid is 15 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  12. 12.Use (a + b)² = a² + 2ab + b² to find 19².
  13. 13.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  14. 14.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  15. 15.What is the value of 4³? =
  16. 16.Write 6.6 × 10⁻¹ as a decimal. =
  17. 17.The diagonals of a rhombus are 30 cm and 24 cm. What is its area (in square cm)?
  18. 18.Find the value of x² + 2xy + y² when x = 14 and y = 12.
  19. 19.Write 8.2 × 10⁻¹ as a decimal. =
  20. 20.Solve: 7m + 17 = 2m + 57. What is m?
  21. 21.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  22. 22.What is the value of 5⁶? =
  23. 23.Find the compound interest on ₹22800 at 10% per year for 1 year, compounded every year (in ₹).
  24. 24.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  25. 25.Use a² − b² = (a + b)(a − b) to find 90² − 29².
  26. 26.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
  27. 27.What is the difference between the compound interest and the simple interest on ₹45000 at 12% per year for 2 years (in ₹)?
  28. 28.What is the value of 10¹ × 10⁻²? =
  29. 29.If a − b = 7 and ab = 8, what is a² + b²?
  30. 30.Write 8.6 × 10⁻¹ as a decimal. =
  31. 31.Find the compound interest on ₹4900 at 15% per year for 1 year, compounded every year (in ₹).
  32. 32.A scooter is worth ₹21600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 34².
  34. 34.A cuboid is 14 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  35. 35.Find the value of x² − y² when x = 3 and y = 2.
  36. 36.If a − b = 8 and ab = 9, what is a² + b²?
  37. 37.A father is 24 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  38. 38.What is √2304? =
  39. 39.Which of these is a perfect cube? (a) 2197 (b) 2691 (c) 2666
  40. 40.What is 3³? =

Answer key

  1. 16807
  2. 16560
  3. 1
  4. 784
  5. 625
  6. 4
  7. 14
  8. 7
  9. 13
  10. 19
  11. 264
  12. 361
  13. 12
  14. 5
  15. 64
  16. 0.66
  17. 360
  18. 676
  19. 0.82
  20. 8
  21. 484
  22. 15625
  23. 2280
  24. 54
  25. 7259
  26. 13
  27. 648
  28. 1/10
  29. 65
  30. 0.86
  31. 735
  32. 19494
  33. 1156
  34. 544
  35. 5
  36. 82
  37. 6
  38. 48
  39. 2197
  40. 27

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