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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 292 · 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.Find the value of x² − y² when x = 7 and y = 4.
  2. 2.What is the value of 2² × 2⁻⁶? =
  3. 3.Use (a + b)(a − b) = a² − b² to find 41 × 39.
  4. 4.A cuboid is 3 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  5. 5.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  6. 6.How many whole numbers lie between 41² and 42²?
  7. 7.How many whole numbers lie between 49² and 50²?
  8. 8.Find the value of x² + 2xy + y² when x = 10 and y = 6.
  9. 9.What is 7³? =
  10. 10.A father is 48 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  11. 11.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  12. 12.Find the value of x² + 2xy + y² when x = 3 and y = 1.
  13. 13.What is the value of 5⁴? =
  14. 14.Write 7 × 10⁻⁴ as a decimal. =
  15. 15.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  16. 16.What is the value of 3³? =
  17. 17.Solve: 3(n − 5) = n + 11. What is n?
  18. 18.Write 3.4 × 10⁻⁴ as a decimal. =
  19. 19.What amount will ₹37400 grow to in 1 year at 12% per year compound interest (in ₹)?
  20. 20.Write 14,000 in standard form as 1.4 × 10ⁿ. What is n?
  21. 21.Use (a + b)² = a² + 2ab + b² to find 41².
  22. 22.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  23. 23.Solve: 4p + 3 = p + 18. What is p?
  24. 24.How many whole numbers lie between 35² and 36²?
  25. 25.What amount will ₹46200 grow to in 1 year at 4% per year compound interest (in ₹)?
  26. 26.A trapezium has parallel sides of 24 cm and 15 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  27. 27.If a − b = 3 and ab = 40, what is a² + b²?
  28. 28.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  29. 29.What is the value of 3⁻⁵ (as a fraction)? =
  30. 30.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  31. 31.What is 2³? =
  32. 32.How many whole numbers lie between 8² and 9²?
  33. 33.A cuboid is 7 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
  34. 34.What is √4900? =
  35. 35.A cuboid is 7 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.Use (a + b)(a − b) = a² − b² to find 34 × 26.
  37. 37.A cuboid is 14 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.Find the compound interest on ₹57200 at 25% per year for 2 years, compounded every year (in ₹).
  40. 40.Which of these is a perfect square? (a) 441 (b) 443 (c) 476

Answer key

  1. 33
  2. 1/16
  3. 1599
  4. 126
  5. 9
  6. 82
  7. 98
  8. 256
  9. 343
  10. 10
  11. 5
  12. 16
  13. 625
  14. 0.0007
  15. 54
  16. 27
  17. 13
  18. 0.00034
  19. 41888
  20. 4
  21. 1681
  22. 3
  23. 5
  24. 70
  25. 48048
  26. 156
  27. 89
  28. 4
  29. 1/243
  30. 3
  31. 8
  32. 16
  33. 266
  34. 70
  35. 208
  36. 884
  37. 568
  38. 60
  39. 32175
  40. 441

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