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Variations

Written by Hassan Raza (Mathematics)

Class 10 · Mathematics · 9 questions

Name: ____________________   Date: ____________

  1. If y varies directly with x and y = 6 when x = 2, what is y when x = 5?

    • A 15
    • B 12
    • C 10
    • D 30

  2. If y is inversely proportional to x and y = 4 when x = 3, what is y when x = 6?

    • A 12
    • B 1
    • C 8
    • D 2

  3. In y = k x, k is called:

    • A Constant of variation
    • B Slope only
    • C Exponent
    • D Variable

  4. If a is proportional to b² and a = 8 when b = 2, what is a when b = 3?

    • A 27
    • B 18
    • C 24
    • D 12

  5. Speed and time for a fixed distance are in:

    • A Direct variation
    • B Joint variation
    • C Inverse variation
    • D No variation

  6. If y is proportional to x and y = 10 when x = 2, then k is:

    • A 12
    • B 20
    • C 8
    • D 5

  7. If xy = 20 and x = 5, then y is:

    • A 100
    • B 4
    • C 15
    • D 25

  8. If the speed is doubled and the distance is fixed, the time:

    • A Is unchanged
    • B Is four times
    • C Is doubled
    • D Is halved

  9. The area of a circle varies directly with the square of its:

    • A Diameter only
    • B Circumference only
    • C Colour
    • D Radius

Answer key

1. A, 2. D, 3. A, 4. B, 5. C, 6. D, 7. B, 8. D, 9. D

  1. y = k x with k = 3, so y = 15.

  2. xy = 12 is constant, so y = 12 / 6 = 2.

  3. k is the constant of variation.

  4. a = k b² with k = 2, so a = 2 x 9 = 18.

  5. Doubling the speed halves the time.

  6. k = y / x = 5.

  7. y = 20 / 5 = 4.

  8. Time is inversely proportional to speed.

  9. A = pi r².