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Variations

5 Class 10 Mathematics questions with answers and explanations.

Printable worksheet with answer key

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

    • 1 15
    • 2 12
    • 3 10
    • 4 30
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    Correct answer: 15

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

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

    • 1 12
    • 2 1
    • 3 8
    • 4 2
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    Correct answer: 2

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

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

    • 1 Constant of variation
    • 2 Slope only
    • 3 Exponent
    • 4 Variable
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    Correct answer: Constant of variation

    k is the constant of variation.

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

    • 1 27
    • 2 18
    • 3 24
    • 4 12
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    Correct answer: 18

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

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

    • 1 Direct variation
    • 2 Joint variation
    • 3 Inverse variation
    • 4 No variation
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    Correct answer: Inverse variation

    Doubling the speed halves the time.

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