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### Grade 6 - Mathematics7.1 Ratio

 Ratio: A ratio is a relationship between two quantities of the same kind. The ratio between a and b is written as a:b. The colon (:) stands for ratio. In the ratio a:b, a and b are called its terms. The first term of the ratio, 'a' is called the "antecedent" and the second term, 'b' is called the "consequent". In the ratio 5:7, 5 is the antecedent and 7 is the consequent and this is read as 5 is to 7. Ratio is another name for fraction. Proportion: A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3/4 = 6/8 is an example of a proportion. To solve the proportion when one of the four numbers in a proportion is unknown, cross multiplication is used. Scale Drawing: A proportional drawing of something that is larger or smaller than actual size. Rate: The ratio of two measurements in different units. A rate is a ratio that expresses how long it takes to do something, such as traveling a certain distance. To walk 2 miles in one hour is to walk at the rate of 2 miles/h. The fraction expressing a rate has units of distance in the numerator and units of time in the denominator. Unit Rate: A rate that has a denominator of 1. Percent: A part of a whole that is expressed in hundredth. Probability: The ratio of the number of ways an event can happen to the total number of possible outcomes. Example: Solution: Kim has a bag with 3 candies, 4 pencils, 7 books, and 1 sharpener. What is the ratio of books to pencils? Express ratio as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the solution is 7/4. It is also expressed as 7 to 4, and 7:4. Directions: Choose the correct answer for the following. Also write at least ten examples of your own.
 Q 1: Proportion is a comparison of two numbers in 256:280, what is the consequent ?TrueFalse Q 2: Jill has a bag with 3 candies, 4 pencils, 7 books, and 1 sharpener. What is the ratio of books to the total number of items in the bag? 7/154/73/79/15 Q 3: Jack runs 4 km in 30 minutes. At that rate, how far could he run in 45 minutes? 8 km6 km5 km10 km Q 4: If you have three apples for every four oranges then you have a _____ ratio 4:33:74:73:4 Q 5: In 256:8, what is 256?ConsequentAntecedent Q 6: To compare the relation between 2 quantities of the same kind we use ______.ConsequentProportionRatioAntecedent Q 7: 7:14 and 36:72 are equal ratios.TrueFalse Q 8: There are 3 apples and 6 oranges, the ratio of apples to oranges is ______. 1:31:22:32:1 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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