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ISEE Middle Level Math : How to find a proportion

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Example Questions

Example Question #811 : Ssat Middle Level Quantitative (Math)

If the ratio of boys to girls in a classroom is 11:12 , and there are a total of of students in the classroom, how many boys are in the classroom?

Possible Answers:

Correct answer:

Explanation:

If the ratio of boys to girls in a classroom is 11:12 , 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 22:24 , or 11:12 .

Thus, if there are students, will be boys.

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Example Question #33 : Numbers And Operations

You survey 500 students about the plans for a new practice court for the basketball team and they must give a yes or no answer. 490 students are against the use of funds on this project. What proportion of students said that they agreed with the plan?

Possible Answers:

0.05

0.025

0.98

0.02

0.5

Correct answer:

0.02

Explanation:

If 490 disagreed with the plan, that means the rest agreed.

So to find that value, you must do the total minus the no's

500-490=10 .

To find the proportion you must divide the part by the whole giving us an answer of 0.02

10/500=0.02 .

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Example Question #33 : Numbers And Operations

If Mike gets two times the amount of work done than Joe, what is a ratio representing the work that each get done?

Possible Answers:

1:3

1:1

6:5

5:2

2:1

Correct answer:

2:1

Explanation:

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 2:1 .

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Example Question #37 : Numbers And Operations

Which statement does not follow from the statement $\frac{A}{9} = \frac{B }{11}$ ?

Possible Answers:

$\frac{A}{11} = \frac{B }{9}$

$\frac {9}{A}= \frac{11}{B }$

$\frac{9} {A}= \frac{11}{B }$

$\frac{A}{B} = \frac{9} {11}$

Correct answer:

$\frac{A}{11} = \frac{B }{9}$

Explanation:

If $\frac{A}{9} = \frac{B }{11}$ , then:

The ratio of the numerators is equivalent to that of the denominators, in the same order. Hence,

$\frac{A}{B} = \frac{9} {11}$ and $\frac{9} {A}= \frac{11}{B }$ are true.

The reciprocals of the ratios are equivalent, so

$\frac {9}{A}= \frac{11}{B }$

However, it does not hold that

$\frac{A}{11} = \frac{B }{9}$ .

This can be seen as follows:

$\frac{A}{9} = \frac{B }{11}$

$\frac{A}{9} \cdot \frac{9}{11}= \frac{B }{11}\cdot \frac{9}{11}$

$\frac{A}{11}= \frac{9B }{121} \ne \frac{B}{9}$ .

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Example Question #11 : How To Find A Proportion

$\frac{A}{B} = \frac{3}{4}$

$\frac{A +B}{B} = ?$

Possible Answers:

$\frac{7}{3}$

$\frac{3}{7}$

$\frac{4}{3}$

$\frac{7}{4}$

Correct answer:

$\frac{7}{4}$

Explanation:

By a proportion property, if $\frac{A}{B} = \frac{C}{D}$ , it follows that $\frac{A+B}{B} = \frac{C+ D}{D}$ .

Setting C= 3 , D = 4 ,

if $\frac{A}{B} = \frac{3}{4}$ , then $\frac{A +B}{B} = \frac{3+4}{4} = \frac{7}{4}$ .

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Example Question #41 : Numbers And Operations

$\frac{A}{B} = \frac{5}{7}$

7A = ?

Possible Answers:

B + 5

$\frac{5}{B}$

$\frac{B}{5}$

Correct answer:

Explanation:

The cross-products (the product of a numerator and the other denominator) of a proportion are equal, so, if

$\frac{A}{B} = \frac{5}{7}$ , then

7 A = 5B .

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : How to find a proportion

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #811 : Ssat Middle Level Quantitative (Math)

Example Question #33 : Numbers And Operations

Example Question #33 : Numbers And Operations

Example Question #37 : Numbers And Operations

Example Question #11 : How To Find A Proportion

Example Question #41 : Numbers And Operations

All ISEE Middle Level Math Resources

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