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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 466 · 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.Use (a − b)² = a² − 2ab + b² to find 65².
  2. 2.What is ∛64? =
  3. 3.Solve: 6(y − 4) = 2y + 40. What is y?
  4. 4.A trapezium has an area of 264 square cm. Its parallel sides are 27 cm and 6 cm. What is the distance between them (in cm)?
  5. 5.What is √2025? =
  6. 6.Solve: t/5 + t/3 = 64. What is t?
  7. 7.A trapezium has an area of 47 square cm. Its parallel sides are 24 cm and 23 cm. What is the distance between them (in cm)?
  8. 8.What is √4489? =
  9. 9.Solve: 4(y − 5) = 3y + 12. What is y?
  10. 10.Solve: 5(n − 3) = 3n + 21. What is n?
  11. 11.Use (a − b)² = a² − 2ab + b² to find 72².
  12. 12.Find the value of x² − y² when x = 3 and y = 2.
  13. 13.What is 8³? =
  14. 14.A square garden has an area of 2025 square m. How long is each side (in m)?
  15. 15.A scooter is worth ₹8500. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  16. 16.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  17. 17.A father is 42 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  18. 18.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  19. 19.Solve: 3(x − 3) = 2x + 9. What is x?
  20. 20.If a − b = 4 and ab = 21, what is a² + b²?
  21. 21.Use (a − b)² = a² − 2ab + b² to find 89².
  22. 22.A father is 34 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?
  23. 23.A cuboid is 3 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.What is 93²? =
  25. 25.What is the value of 4⁶? =
  26. 26.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
  27. 27.Solve: 6(m − 1) = m + 14. What is m?
  28. 28.What is the smallest whole number by which 18 must be multiplied to get a perfect square?
  29. 29.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  30. 30.What is √9801? =
  31. 31.The sum of two consecutive whole numbers is 37. What is the smallest of them?
  32. 32.What is the value of 2⁻⁷ (as a fraction)? =
  33. 33.What is ∛6859? =
  34. 34.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A room is 9 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 31².
  37. 37.A trapezium has an area of 37 square cm. Its parallel sides are 13 cm and 24 cm. What is the distance between them (in cm)?
  38. 38.What is the value of 2⁴ × 2⁻²? =
  39. 39.What is the value of 3⁵ × 3⁻²? =
  40. 40.A cuboid is 4 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?

Answer key

  1. 4225
  2. 4
  3. 16
  4. 16
  5. 45
  6. 120
  7. 2
  8. 67
  9. 32
  10. 18
  11. 5184
  12. 5
  13. 512
  14. 45
  15. 6800
  16. 289
  17. 10
  18. 4
  19. 18
  20. 58
  21. 7921
  22. 11
  23. 174
  24. 8649
  25. 4096
  26. 64
  27. 4
  28. 2
  29. 8
  30. 99
  31. 18
  32. 1/128
  33. 19
  34. 78
  35. 140
  36. 961
  37. 2
  38. 4
  39. 27
  40. 124

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