Proportions

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Two quantities are directly proportional if one quantity increase ( or decrease ) as the
other quantity increases ( or decreases ).

Two quantities are inversely proportional if one quantity increase ( or decrease ) as
the other quantity decreases ( or increases ).

and

Directly proportional

Inversely proportional

and

→

→

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and

1. Which fraction with a denominator of fiveteen is in proportion to one over five.

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2. If plan is drawn to a scale of 1 : 75, what is the actual measurement which is

shown on the plan as five centimeters?

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3. Divide one hundred and eighty cow into

two groups in the ratio of 4 : 5.

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4. The scale of a map is seven centimeters

to one point four kilometers. What is the

representative fraction of the map?

5. On the same map (question no. 4), what

length will represent nine kilometers?

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6. Divide fourty-

eight apples
into three parts
in the ratio
3 : 4 : 5.

7. A farmer has food supplies for 20 goats for 18 days. Then the

breeder buys 4 more, how long will it take to finish the supply?

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8. A mother distributed cookies to 28 children, each child got 4 pieces of cake.

If the cookies were distributed to 16 children, how many cookies did each

child receive?

Uncle needs 20 minutes to go to the office
by motorcycle in 40 km/hour. Today he just
takes 10 minutes to go to his office.
Determine the speed of the motorcycle used
to go to his office today.

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