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SSAT Elementary Level Math : Ratio and Proportion

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All SSAT Elementary Level Math Resources

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Example Questions

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Example Question #11 : How To Find A Ratio

On Monday, Annie sold shirts and necklaces in her shop. On Tuesday, she sold shirts and necklace. What is the ratio of shirts to necklaces that she sold on Monday and Tuesday?

Possible Answers:

2:3

1:4

3:2

4:1

4:7

Correct answer:

3:2

Explanation:

First we need to find the total number of each item sold on the two days.

$\text{total shirts}=2+4=6$

$\text{total necklaces}=3+1=4$

Next, set up a ratio.

$\text{total shirts}:\text{total necklaces}$

6:4

The ratio can be reduced by removing a common factor, 2.

6:4=3:2

Our final answer is 3:2 .

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Example Question #12 : How To Find A Ratio

What is the simplest form of the ratio to ?

Possible Answers:

1:2

3:1

26:13

2:1

1:3

Correct answer:

1:2

Explanation:

The ratio of to can be reduced by dividing each value by .

$13:26=(13\div13):(26\div13)$

13:26=1:2

This gives us to , or 1:2 , which is the correct answer.

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Example Question #11 : How To Find A Ratio

If I have 6 red marbles and 5 blue marbles, what is the ratio of red marbles to blue marbles?

Possible Answers:

$\frac{6}{11}$

$\frac{5}{11}$

6:5

5:6

Correct answer:

6:5

Explanation:

To find a ratio, simply compare the desired ones to the undesired ones. Read the ":" sign as "to".

The desired ones are the red marbles while the undesired ones are the blue marbles.

Thus,

$ratio=\#desired:\#undesired=6:5$

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Example Question #12 : How To Find A Ratio

I have 7 green marbles and 4 blue marbles in a bag. Find the ratio of blue marbles to green marbles.

Possible Answers:

$\frac{7}{11}$

7:4

$\frac{4}{11}$

4:7

Correct answer:

4:7

Explanation:

To find a ratio, simply compare the number of desired to the number of undesired. Thus, I am comparing the number of blue to green. ":" means to. Therefore, our answer is:

4:7

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Example Question #15 : How To Find A Ratio

Simplify the following ratio: 24:42

Possible Answers:

12:13

2:3

4:7

3:4

1:2

Correct answer:

4:7

Explanation:

In order to simplify the ratio, you need to find the greatest common factor of the two numbers. The greatest common factor of 24, 42 is . If you reduce both numbers by then it would be 4:7 .

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Example Question #11 : Numbers And Operations

$Which\;number\;is\;bigger: \frac{3}{7}\;or\;\frac{3}{8}\,?$

Possible Answers:

$\frac{3}{7}$

$\frac{3}{8}$

Correct answer:

$\frac{3}{7}$

Explanation:

$When\;the\;denominator\;(bottom\;number)\;gets\;bigger,\;the\;number\;gets\;smaller.$

$For\;example,\;\frac{1}{2}\;is\;bigger\;than\;\frac{1}{3}.$

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Example Question #12 : Numbers And Operations

What is 10% of 100?

Possible Answers:

100

Correct answer:

Explanation:

10% of 100 is calculated by multiplying .10 by 100.

$.10\times100=10$

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Example Question #13 : Numbers And Operations

What is 13% of 100?

Possible Answers:

1.3

Correct answer:

Explanation:

13% of 100 is calculated by multiplying .13 by 100.

$.13\times 100=13$

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Example Question #14 : Numbers And Operations

Solve for x:

$\frac{x}{3} = \frac{7}{6}$

Possible Answers:

4.5

1.5

2.5

5.5

3.5

Correct answer:

3.5

Explanation:

Multiply both sides by 3 to yield:

$\frac{x}{3} = \frac{7}{6} \equiv x =\frac{21}{6} \equiv x = 3.5$

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Example Question #5 : How To Find A Proportion

Brad is paid $\$10$ per hour at his current job. If a promotion would increase Brad's pay by $200\%$ , what would Brad make per hour after a promotion?

Possible Answers:

$\$30$ per hour

$\$20$

$\$200$

$\$300$

$\$250$

Correct answer:

$\$30$ per hour

Explanation:

To find $200\%$ of Brad's pay, multiply it by (since $100\%$ is the original number and $200\%$ is twice that). $2 \times 10= 20$ , which is the amount of the increase to Brad's pay. Add this increase to the original pay to get the new pay: $\$10 + \$20 = \$30$ per hour.

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SSAT Elementary Level Math : Ratio and Proportion

Study concepts, example questions & explanations for SSAT Elementary Level Math

All SSAT Elementary Level Math Resources

Example Questions

Example Question #11 : How To Find A Ratio

Example Question #12 : How To Find A Ratio

Example Question #11 : How To Find A Ratio

Example Question #12 : How To Find A Ratio

Example Question #15 : How To Find A Ratio

Example Question #11 : Numbers And Operations

Example Question #12 : Numbers And Operations

Example Question #13 : Numbers And Operations

Example Question #14 : Numbers And Operations

Example Question #5 : How To Find A Proportion

All SSAT Elementary Level Math Resources

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