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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 629 · 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.If a − b = 4 and ab = 32, what is a² + b²?
  2. 2.Find the value of x² − 2xy + y² when x = 7 and y = 6.
  3. 3.What is the smallest whole number by which 112 must be divided to get a perfect square?
  4. 4.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  5. 5.What is the value of 3³ × 3⁻¹? =
  6. 6.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  7. 7.What is ∛1331? =
  8. 8.What is ∛2197? =
  9. 9.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  10. 10.What is the value of (1/5)⁻²? =
  11. 11.2.6 × 10² =
  12. 12.What is ∛1728? =
  13. 13.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  14. 14.8 × 10³ =
  15. 15.What is 54²? =
  16. 16.What is ∛216? =
  17. 17.A town has 59300 people. The population grows by 15% every year. What will the population be after 1 year?
  18. 18.A father is 28 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  19. 19.Use (a + b)² = a² + 2ab + b² to find 29².
  20. 20.Use a² − b² = (a + b)(a − b) to find 75² − 40².
  21. 21.What is the value of 3⁻³ (as a fraction)? =
  22. 22.What is the value of 2⁻⁷ (as a fraction)? =
  23. 23.Solve: 6(t − 5) = 4t + 2. What is t?
  24. 24.A town has 52500 people. The population grows by 4% every year. What will the population be after 2 years?
  25. 25.Use (a − b)² = a² − 2ab + b² to find 37².
  26. 26.The length of a rectangle is 7 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  27. 27.Use (a + b)² = a² + 2ab + b² to find 75².
  28. 28.A father is 20 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  29. 29.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  30. 30.Solve: 6(n − 2) = 3n + 30. What is n?
  31. 31.What amount will ₹33200 grow to in 1 year at 20% per year compound interest (in ₹)?
  32. 32.Solve: 4(y − 1) = y + 29. What is y?
  33. 33.Write (5³)³ as a single power 5ⁿ. What is n?
  34. 34.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  35. 35.Solve: 9p + 3 = p + 67. What is p?
  36. 36.A town has 55000 people. The population grows by 12% every year. What will the population be after 2 years?
  37. 37.A room is 6 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.What is the value of 10¹ × 10⁻⁶? =
  39. 39.Find the compound interest on ₹53900 at 15% per year for 1 year, compounded every year (in ₹).
  40. 40.What is √9604? =

Answer key

  1. 80
  2. 1
  3. 7
  4. 6
  5. 9
  6. 5
  7. 11
  8. 13
  9. 17
  10. 25
  11. 260
  12. 12
  13. 7
  14. 8000
  15. 2916
  16. 6
  17. 68195
  18. 6
  19. 841
  20. 4025
  21. 1/27
  22. 1/128
  23. 16
  24. 56784
  25. 1369
  26. 30
  27. 5625
  28. 3
  29. 96
  30. 14
  31. 39840
  32. 11
  33. 9
  34. 14
  35. 8
  36. 68992
  37. 150
  38. 1/100000
  39. 8085
  40. 98

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