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Tag: Variationss

  • Class 10 Mathematics Chapter 3: Variations – MCQs -(FBISE)

    Short Description:
    These MCQs are based on the latest Curriculum of Mathematics for SSC-II (Class 10) provided by the Federal Board of Intermediate and Secondary Education (FBISE). This set of 45 multiple-choice questions covers direct variation, inverse variation, joint variation, combined variation, and application problems. These MCQs are ideal for exam revision and self-assessment before the Class 10 exams.

    MCQs – Variations

    1. If y varies directly as x and y = 10 when x = 2, then y = ? when x = 5
      A. 25
      B. 20
      C. 15
      D. 10
    2. If y varies inversely as x and y = 6 when x = 2, then y when x = 3 is:
      A. 4
      B. 6
      C. 3
      D. 2
    3. If y varies directly as x and inversely as z, y = 12 when x = 2, z = 3. Find y when x = 3, z = 2:
      A. 12
      B. 18
      C. 24
      D. 9
    4. y varies jointly as x and z. If y = 24 when x = 2, z = 3, find y when x = 3, z = 4:
      A. 48
      B. 54
      C. 72
      D. 36
    5. If y varies directly as x² and y = 16 when x = 2, find y when x = 4:
      A. 32
      B. 64
      C. 48
      D. 16
    6. If y varies inversely as the square of x and y = 8 when x = 2, find y when x = 4:
      A. 4
      B. 2
      C. 1
      D. 8
    7. If y varies directly as x and inversely as z², y = 18 when x = 3, z = 2. Find y when x = 6, z = 3:
      A. 6
      B. 4
      C. 8
      D. 12
    8. If y varies jointly as x² and z, and y = 24 when x = 2, z = 3, find y when x = 4, z = 2:
      A. 64
      B. 32
      C. 48
      D. 16
    9. If y varies directly as x³, y = 27 when x = 3. Find y when x = 6:
      A. 54
      B. 108
      C. 216
      D. 162
    10. If y varies inversely as x and directly as z, y = 12 when x = 2, z = 3. Find y when x = 4, z = 6:
      A. 18
      B. 9
      C. 12
      D. 6
    11. If y varies directly as x and y = 5 when x = 10, then y = ? when x = 15
      A. 7.5
      B. 10
      C. 15
      D. 5
    12. y varies inversely as x. If y = 9 when x = 3, then x = ? when y = 6:
      A. 4.5
      B. 6
      C. 3
      D. 2
    13. y varies directly as x and inversely as z. If y = 10 when x = 2, z = 5, find y when x = 4, z = 10:
      A. 4
      B. 5
      C. 2
      D. 8
    14. If y varies jointly as x and z², y = 18 when x = 2, z = 3, find y when x = 3, z = 4:
      A. 32
      B. 64
      C. 48
      D. 72
    15. If y varies inversely as x², y = 12 when x = 2, find y when x = 4:
      A. 6
      B. 3
      C. 12
      D. 8
    16. If y varies directly as x and inversely as z, y = 20 when x = 4, z = 2, find y when x = 5, z = 5:
      A. 10
      B. 8
      C. 5
      D. 4
    17. y varies directly as x² and inversely as z. If y = 18 when x = 3, z = 2, find y when x = 6, z = 3:
      A. 36
      B. 54
      C. 72
      D. 48
    18. If y varies directly as x³ and inversely as z, y = 24 when x = 2, z = 3. Find y when x = 4, z = 6:
      A. 32
      B. 64
      C. 48
      D. 16
    19. If y varies jointly as x, z, and w, y = 36 when x = 2, z = 3, w = 2. Find y when x = 3, z = 2, w = 4:
      A. 36
      B. 48
      C. 72
      D. 54
    20. If y varies inversely as x and y = 10 when x = 5, find x when y = 2:
      A. 25
      B. 20
      C. 15
      D. 10
    21. y varies directly as x and inversely as z². If y = 8 when x = 2, z = 1, find y when x = 4, z = 2:
      A. 2
      B. 4
      C. 8
      D. 16
    22. If y varies jointly as x² and z³, y = 16 when x = 2, z = 2. Find y when x = 4, z = 4:
      A. 128
      B. 256
      C. 512
      D. 64
    23. If y varies directly as x and inversely as z, y = 12 when x = 6, z = 3. Find y when x = 4, z = 2:
      A. 12
      B. 16
      C. 8
      D. 18
    24. If y varies inversely as x², y = 9 when x = 3, find y when x = 6:
      A. 9/4
      B. 3/2
      C. 12
      D. 4.5
    25. y varies directly as x² and inversely as z. If y = 8 when x = 2, z = 4, find y when x = 4, z = 2:
      A. 16
      B. 32
      C. 24
      D. 8
    26. If y varies jointly as x², z, and w, y = 18 when x = 1, z = 2, w = 3. Find y when x = 2, z = 3, w = 2:
      A. 24
      B. 36
      C. 48
      D. 72
    27. If y varies inversely as x and directly as z², y = 8 when x = 2, z = 2. Find y when x = 4, z = 4:
      A. 16
      B. 32
      C. 8
      D. 64
    28. y varies directly as x³ and inversely as z². If y = 9 when x = 1, z = 3, find y when x = 3, z = 1:
      A. 81
      B. 27
      C. 9
      D. 36
    29. y varies jointly as x, z², and w³. If y = 24 when x = 2, z = 1, w = 2, find y when x = 4, z = 2, w = 1:
      A. 48
      B. 36
      C. 24
      D. 72
    30. y varies inversely as x² and directly as z. If y = 16 when x = 2, z = 4, find y when x = 4, z = 8:
      A. 16
      B. 8
      C. 4
      D. 2
    31. If y varies directly as x and inversely as z, y = 10 when x = 5, z = 2. Find y when x = 10, z = 4:
      A. 10
      B. 5
      C. 2.5
      D. 20
    32. y varies directly as x² and inversely as z³. If y = 27 when x = 3, z = 1, find y when x = 6, z = 2:
      A. 54
      B. 27
      C. 81
      D. 12
    33. y varies jointly as x, z², w³. If y = 8 when x = 1, z = 2, w = 1, find y when x = 2, z = 1, w = 2:
      A. 8
      B. 16
      C. 4
      D. 2
    34. y varies inversely as x and y = 12 when x = 3. Find y when x = 6:
      A. 6
      B. 4
      C. 8
      D. 2
    35. If y varies directly as x² and y = 16 when x = 2, find y when x = 4:
      A. 32
      B. 64
      C. 48
      D. 24
    36. y varies inversely as x² and y = 18 when x = 3. Find y when x = 6:
      A. 4.5
      B. 9
      C. 3
      D. 2
    37. y varies directly as x³ and inversely as z. If y = 8 when x = 2, z = 1, find y when x = 4, z = 2:
      A. 16
      B. 32
      C. 64
      D. 8
    38. y varies jointly as x², z, and w. If y = 12 when x = 2, z = 1, w = 3, find y when x = 4, z = 2, w = 1:
      A. 16
      B. 32
      C. 48
      D. 24
    39. y varies inversely as x² and directly as z². If y = 9 when x = 3, z = 2, find y when x = 6, z = 4:
      A. 9
      B. 8
      C. 4
      D. 2
    40. y varies directly as x² and inversely as z. If y = 12 when x = 3, z = 2, find y when x = 6, z = 3:
      A. 24
      B. 36
      C. 48
      D. 12
    41. y varies jointly as x² and z². If y = 8 when x = 1, z = 2, find y when x = 2, z = 1:
      A. 2
      B. 4
      C. 8
      D. 16
    42. If y varies directly as x and inversely as z, y = 15 when x = 5, z = 3. Find y when x = 3, z = 5:
      A. 9
      B. 5
      C. 6
      D. 3
    43. y varies inversely as x³. If y = 8 when x = 2, find y when x = 4:
      A. 1
      B. 2
      C. 4
      D. 1
    44. y varies directly as x² and inversely as z. If y = 18 when x = 3, z = 2, find y when x = 6, z = 3:
      A. 24
      B. 36
      C. 48
      D. 12
    45. y varies jointly as x and z. If y = 12 when x = 2, z = 3, find y when x = 4, z = 6:
      A. 48
      B. 24
      C. 12
      D. 36

    Answers – List Form

    1. B
    2. A
    3. C
    4. C
    5. B
    6. B
    7. B
    8. C
    9. C
    10. B
    11. A
    12. A
    13. C
    14. D
    15. B
    16. B
    17. B
    18. D
    19. C
    20. A
    21. B
    22. B
    23. B
    24. A
    25. B
    26. B
    27. B
    28. A
    29. B
    30. B
    31. B
    32. B
    33. B
    34. A
    35. B
    36. A
    37. B
    38. C
    39. C
    40. B
    41. B
    42. A
    43. D
    44. B
    45. B

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