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MEAP Preparation - Grade 7 Mathematics
2.1 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.
  • 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.
  • 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.

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: In 256:8, what is 256?

Q 2: 7:14 and 36:72 are equal ratios.

Q 3: Cathy has 10 books, 5 pencils, 3 sharpeners, and 1 binder in her bag. What is the ratio of pencils to books?

Q 4: If you have three apples for every four oranges then you have a _____ ratio

Q 5: Jack runs 4 km in 30 minutes. At that rate, how far could he run in 45 minutes?
5 km
6 km
10 km
8 km

Q 6: There are 3 apples and 6 oranges, the ratio of apples to oranges is ______.

Q 7: Proportion is a comparison of two numbers in 256:280, what is the consequent ?

Q 8: To compare the relation between 2 quantities of the same kind we use ______.

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Question 10: This question is available to subscribers only!

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