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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
2.2 Ratio - II

Part to part ratio:
Example:
Chris spends 8 hours of each day in school. What is the ratio of time Chris spends in school to the time he doesn't spend in school?
Time spent in school = 8
There are 24 hours in a day
Time not spent in school = 24 - 8 = 16
Ratio of time Chris spends in school to the time he doesn't spend in school = 8/16 = 1/2

Part to whole ratio:
Example:
Chris spends 8 hours of each day in school. What is the ratio of time Chris spends in school to the whole day?
Time spent in school = 8
There are 24 hours in a day
Ratio of time Chris spends in school to the whole day = 8/24 = 1/3

Compound Ratio: is the ratio of products of the corresponding terms of two or more simple ratios.
Thus the ratio of 6 : 3 is 2
And the ratio of 12 : 4 is 3
The ratio compounded of these is 72 : 12 = 6
6/3 x 12/4 = 72/12 = 6
Here the compound ratio is obtained by multiplying together the two antecedents, and also the two consequent of the simple ratios.


More Examples:
Kim goes out shopping with $300 in her wallet. When she is done she has $50 left. What is the ratio of what Kim spent to what she didn't spend?
250:50
Answer 5:1

A box has 3 balls, all of which are either red or green. If the ratio of red to green balls is 1:2, how many red balls are in the box?
1/3 x 30 = 10

Ratio of boys to girls in a class is 3:4. If there are 35 students in the class, how many of them are girls?
4/7 x 35 = 20 girls

There are 16 beverages in a cooler all of which are either sodas or juices. If the ratio of sodas to juices is 3:1, how many of the beverages are sodas?
3/4 x 16 = 12 sodas.


Directions: Solve the following problems. Also write at least 5 examples of your own for part to whole, part to part ratio and compound ratio.
Q 1: A ratio is in its lowest term where the antecedent and consequent are respectively 28 and 16 is ______.
4:7
7:4
3:7
5:6

Q 2: A ratio equal to 4:9 such that its antecedent is 24 is _____.
24:67
24:37
54:24
24:54

Q 3: Value of x such that 9:16 = 63:x is ______. (Hint: Solve x using cross multiplication)
112
89
122
108

Q 4: The ratio of 1 ft 6 in to 1 yard is ______.
2:5
1:2
1:3
2:3

Q 5: Compound ratio of 3:4 and 4:5 is _____.
5:3
3:5
15:16
15:7

Q 6: If the compound ratio of 5:8 and 3:7 is 45:x find the value of x?
212
168
164
89

Q 7: A box contain only red marbles and white marbles. The ratio of red marbles to white marbles is 3:2. What is the ratio of red marbles to all the marbles in the box is ____.
3:5
1:5
7:4
3:4

Q 8: Team won 30 games in 45 game season. Find the ratio of games won to games lost.
1:2
4:3
3:2
2:1

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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