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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 709 · 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.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  2. 2.A square garden has an area of 1764 square m. How long is each side (in m)?
  3. 3.Write 4.7 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 9⁵? =
  5. 5.What is the value of 3² × 3⁻¹? =
  6. 6.3.7 × 10⁵ =
  7. 7.6.9 × 10⁶ =
  8. 8.What is the value of (1/2)⁻¹? =
  9. 9.What is 48²? =
  10. 10.Solve: m/6 + m/5 = 44. What is m?
  11. 11.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  12. 12.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  13. 13.Use (a − b)² = a² − 2ab + b² to find 97².
  14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 39 (b) 44 (c) 27
  16. 16.Which of these is a perfect square? (a) 758 (b) 770 (c) 729
  17. 17.What is 16³? =
  18. 18.Find the value of x² − y² when x = 3 and y = 2.
  19. 19.What is the difference between the compound interest and the simple interest on ₹12400 at 15% per year for 2 years (in ₹)?
  20. 20.Write 9.4 × 10⁻³ as a decimal. =
  21. 21.Find the value of x² − y² when x = 5 and y = 2.
  22. 22.What is √2025? =
  23. 23.A scooter is worth ₹48900. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  24. 24.What amount will ₹11200 grow to in 1 year at 12% per year compound interest (in ₹)?
  25. 25.If a + b = 10 and ab = 24, what is a² + b²?
  26. 26.What is the difference between the compound interest and the simple interest on ₹5000 at 12% per year for 2 years (in ₹)?
  27. 27.What is ∛27? =
  28. 28.Write 9,500 in standard form as 9.5 × 10ⁿ. What is n?
  29. 29.3.3 × 10⁵ =
  30. 30.What is √625? =
  31. 31.Which of these is a perfect cube? (a) 3775 (b) 3923 (c) 3375
  32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  33. 33.Find the compound interest on ₹27800 at 10% per year for 1 year, compounded every year (in ₹).
  34. 34.Find the compound interest on ₹52400 at 20% per year for 2 years, compounded every year (in ₹).
  35. 35.What is the value of (3/5)⁻¹? =
  36. 36.A square garden has an area of 256 square m. How long is each side (in m)?
  37. 37.How many whole numbers lie between 25² and 26²?
  38. 38.A trapezium has parallel sides of 17 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  39. 39.Solve: 7x + 16 = 3x + 60. What is x?
  40. 40.Use (a + b)² = a² + 2ab + b² to find 73².

Answer key

  1. 14
  2. 42
  3. 0.00047
  4. 59049
  5. 3
  6. 370000
  7. 6900000
  8. 2
  9. 2304
  10. 120
  11. 15
  12. 16
  13. 9409
  14. 7
  15. 27
  16. 729
  17. 4096
  18. 5
  19. 279
  20. 0.0094
  21. 21
  22. 45
  23. 41565
  24. 12544
  25. 52
  26. 72
  27. 3
  28. 3
  29. 330000
  30. 25
  31. 3375
  32. 28
  33. 2780
  34. 23056
  35. 5/3
  36. 16
  37. 50
  38. 175
  39. 11
  40. 5329

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