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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 967 · 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: 4(y − 5) = 2y + 22. What is y?
  2. 2.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  3. 3.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
  4. 4.What is the value of 2⁶? =
  5. 5.1.4 × 10⁶ =
  6. 6.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 647 (b) 648 (c) 512
  8. 8.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
  9. 9.What amount will ₹36700 grow to in 1 year at 4% per year compound interest (in ₹)?
  10. 10.Find the compound interest on ₹12800 at 12% per year for 1 year, compounded every year (in ₹).
  11. 11.Write 7,900 in standard form as 7.9 × 10ⁿ. What is n?
  12. 12.Which of these is a perfect square? (a) 729 (b) 753 (c) 737
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛512? =
  15. 15.A trapezium has an area of 290 square cm. Its parallel sides are 28 cm and 30 cm. What is the distance between them (in cm)?
  16. 16.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  17. 17.What is the value of 3³ × 3⁻⁴? =
  18. 18.A square garden has an area of 36 square m. How long is each side (in m)?
  19. 19.Use a² − b² = (a + b)(a − b) to find 62² − 14².
  20. 20.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  21. 21.Use (a + b)(a − b) = a² − b² to find 87 × 73.
  22. 22.A cuboid is 13 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  23. 23.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  24. 24.Use a² − b² = (a + b)(a − b) to find 81² − 46².
  25. 25.What amount will ₹5000 grow to in 3 years at 10% per year compound interest (in ₹)?
  26. 26.A cuboid is 3 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  27. 27.Which of these is a perfect square? (a) 274 (b) 256 (c) 265
  28. 28.What is ∛2197? =
  29. 29.A scooter is worth ₹4100. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  30. 30.What is ∛8? =
  31. 31.Solve: 6(x − 5) = 5x + 5. What is x?
  32. 32.What is the value of 10⁴? =
  33. 33.What is √1156? =
  34. 34.How many whole numbers lie between 47² and 48²?
  35. 35.What is 52²? =
  36. 36.Write 7.7 × 10⁻² as a decimal. =
  37. 37.Write 4³ × 4⁷ as a single power 4ⁿ. What is n?
  38. 38.How many whole numbers lie between 15² and 16²?
  39. 39.What is 60²? =
  40. 40.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?

Answer key

  1. 21
  2. 8
  3. 816
  4. 64
  5. 1400000
  6. 7
  7. 512
  8. 36
  9. 38168
  10. 1536
  11. 3
  12. 729
  13. 6
  14. 8
  15. 10
  16. 7
  17. 1/3
  18. 6
  19. 3648
  20. 361
  21. 6351
  22. 238
  23. 5
  24. 4445
  25. 6655
  26. 42
  27. 256
  28. 13
  29. 3895
  30. 2
  31. 35
  32. 10000
  33. 34
  34. 94
  35. 2704
  36. 0.077
  37. 10
  38. 30
  39. 3600
  40. 1734

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