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MEAP Preparation - Grade 7 Mathematics
2.1 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: 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?
4/7
3/7
7/15
9/15

Q 2: To compare the relation between 2 quantities of the same kind we use ______.
Consequent
Antecedent
Proportion
Ratio

Q 3: There are 3 apples and 6 oranges, the ratio of apples to oranges is ______.
2:1
2:3
1:2
1:3

Q 4: In 256:8, what is 256?
Consequent
Antecedent

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

Q 6: Cathy has 10 books, 5 pencils, 3 sharpeners, and 1 binder in her bag. What is the ratio of pencils to books?
1/2
5/8
5/19
5/7

Q 7: In a certain class, the ratio of passing grades to failing grades is 7 to 5. How many of the 36 students failed the course?
20
45
10
15

Q 8: 7:14 and 36:72 are equal ratios.
False
True

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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