All ISEE Middle Level Math Resources
Example Questions
Example Question #31 : Ratio And Proportion
If the ratio of boys to girls in a classroom is , and there are a total of of students in the classroom, how many boys are in the classroom?
If the ratio of boys to girls in a classroom is , that means that there are boys for every girls. Thus, when there are students in a classroom, the breakdown will be boys and girls. If there are students in a classroom, the breakdown will be boys and girls, which translates to a ratio of , or .
Thus, if there are students, will be boys.
Example Question #32 : Ratio And Proportion
You survey students about the plans for a new practice court for the basketball team and they must give a yes or no answer. students are against the use of funds on this project. What proportion of students said that they agreed with the plan?
If disagreed with the plan, that means the rest agreed.
So to find that value, you must do the total minus the no's
.
To find the proportion you must divide the part by the whole giving us an answer of
.
Example Question #33 : Ratio And Proportion
If Mike gets two times the amount of work done than Joe, what is a ratio representing the work that each get done?
Since Mike does twice the work that Joe does, his part of the ratio must be double the value of Joe's. The only ratio given that has that is .
Example Question #34 : Numbers And Operations
Which statement does not follow from the statement ?
If , then:
The ratio of the numerators is equivalent to that of the denominators, in the same order. Hence,
and are true.
The reciprocals of the ratios are equivalent, so
However, it does not hold that
.
This can be seen as follows:
.
Example Question #41 : Ratio And Proportion
By a proportion property, if , it follows that .
Setting ,
if , then .
Example Question #41 : Ratio And Proportion
The cross-products (the product of a numerator and the other denominator) of a proportion are equal, so, if
, then
.
Certified Tutor
Certified Tutor