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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 953 · 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.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.What is the value of 4³? =
  3. 3.A trapezium has parallel sides of 24 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  4. 4.What amount will ₹52400 grow to in 1 year at 4% per year compound interest (in ₹)?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 14².
  6. 6.What is the value of 8⁻¹ (as a fraction)? =
  7. 7.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  8. 8.A scooter is worth ₹29500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  9. 9.How many whole numbers lie between 36² and 37²?
  10. 10.Find the compound interest on ₹47500 at 4% per year for 2 years, compounded every year (in ₹).
  11. 11.Find the value of x² − y² when x = 5 and y = 2.
  12. 12.What is the smallest whole number by which 396 must be multiplied to get a perfect square?
  13. 13.The diagonals of a rhombus are 22 cm and 10 cm. What is its area (in square cm)?
  14. 14.Solve: m/3 + m/2 = 30. What is m?
  15. 15.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  16. 16.What is the value of 8²? =
  17. 17.Which of these is a perfect cube? (a) 1932 (b) 1728 (c) 1744
  18. 18.What is the value of 7⁻² (as a fraction)? =
  19. 19.What is 14³? =
  20. 20.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  21. 21.What is the smallest whole number by which 56 must be multiplied to get a perfect square?
  22. 22.What is the value of 10⁴? =
  23. 23.Which of these is a perfect square? (a) 1024 (b) 1027 (c) 1033
  24. 24.Write 6.2 × 10⁻⁴ as a decimal. =
  25. 25.What is 69²? =
  26. 26.Find the compound interest on ₹6600 at 25% per year for 1 year, compounded every year (in ₹).
  27. 27.Solve: m/6 + m/5 = 22. What is m?
  28. 28.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  29. 29.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  30. 30.Write (2²)⁸ as a single power 2ⁿ. What is n?
  31. 31.A scooter is worth ₹17500. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
  32. 32.A scooter is worth ₹41600. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  33. 33.Find the value of x² − 2xy + y² when x = 4 and y = 1.
  34. 34.What is √1225? =
  35. 35.Write 3.4 × 10⁻² as a decimal. =
  36. 36.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  38. 38.How many whole numbers lie between 26² and 27²?
  39. 39.A scooter is worth ₹11200. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  40. 40.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?

Answer key

  1. 130
  2. 64
  3. 81
  4. 54496
  5. 196
  6. 1/8
  7. 18
  8. 15104
  9. 72
  10. 3876
  11. 21
  12. 11
  13. 110
  14. 36
  15. 64
  16. 64
  17. 1728
  18. 1/49
  19. 2744
  20. 1350
  21. 14
  22. 10000
  23. 1024
  24. 0.00062
  25. 4761
  26. 1650
  27. 60
  28. 2
  29. 25
  30. 16
  31. 13552
  32. 17550
  33. 9
  34. 35
  35. 0.034
  36. 17
  37. 9
  38. 52
  39. 4725
  40. 2

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