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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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Example Questions

Example Question #1 : How To Find The Whole From The Part With Percentage

If 40 percent of a number is 44, what is 60 percent of the same number?

Possible Answers:

26.4

10.6

Correct answer:

Explanation:

To determine what 60 percent of the number is, one must first determine what the number is. To find the number, set up a proportion relating the original percentage and the value of the percentage where the top number is the fractional value and the bottom number is the total.

$\frac{Portion}{Total}=\frac{40 percent}{100 percent}=\frac{44}{number}$

Use cross multiplication to solve for the number.

Once the number is found, the new percentage can be found. There are two ways to do this: multiplication or a proportion.

Multiplication:
Proportion: $\frac{60percent}{100percent}=\frac{x}{110}$

This means that 60 percent of the number is 66.

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Example Question #581 : Arithmetic

128 is $40\%$ of what number?

Possible Answers:

360

320

$31\frac{1}{4}$

300

$51 \frac{1}{5}$

Correct answer:

320

Explanation:

128 is $40\%$ of a number we will call ; alternatively, 0.40 multiplied by is equal to 128 . Set up this equation and solve for :

0.4 N = 128

$0.4 N \div 0.4 = 128\div 0.4$

N= 320

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Example Question #32 : Percentage

$64\%$ of what number is 8,000 ?

Possible Answers:

16,000

15,000

14,400

12,500

12,800

Correct answer:

12,500

Explanation:

Taking 64% of a number is the same as multiplying that number by 0.64 . We can find our number, therefore, by dividing 8,000 by 0.64 :

$8,000 \div 0.64 = 12,500$

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Example Question #33 : Percentage

Pie_graph

Refer to the above diagram. If there were 4,934 voters who were registered as neither Republicans nor Democrats in Smith County in 2009 , how many voters (nearest whole number) were there total?

Possible Answers:

8,507

12,335

11,748

246,700

12,984

Correct answer:

11,748

Explanation:

$40\%$ of the voters were unaffiliated, and $2\%$ were affiliated with other parties, so $42\%$ of the voters were registered as neither Republicans nor Democrats. Since $42\%$ of the voters numbered 4,934 , we can find the total number of voters by setting up and solving a proportion:

$\frac{42}{100} = \frac{4,934}{N}$

$42 N = 100 \cdot 4,934$

42 N = 493,400

$42 N \div 42 = 493,400 \div 42$

N = 11,747.6

which rounds to 11,748 voters.

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Example Question #34 : Percentage

25% of fish are blue (50 fish). 50% of fish are green (100 fish). The remaining fish are red. How many fish are red?

Possible Answers:

$75 \textsl{ fish}$

$120 \textsl{ fish}$

$50 \textsl{ fish}$

$100 \textsl{ fish}$

Correct answer:

$50 \textsl{ fish}$

Explanation:

First, we need to determine the percentage of fish that are red. So add the percentages of blue and green fish and then subtract this number from 100. So,

$25\% + 50\%=75\%$ and $100\%-75\%=25\%$

If you notice that the problem already states how many fish constitute 25 percent, you don’t need to do any more work! Therefore, 50 fish are red.

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Example Question #35 : Percentage

0.45 is 24% of what number?

Possible Answers:

1.875

2.225

1.95

2.125

2.05

Correct answer:

1.875

Explanation:

The answer multiplied by 24%, or, equivalently, 0.24, is 0.45. Subsequently, divide 0.45 by 0.24.

$0.45 \div 0.24 = 1.875$

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Example Question #1 : How To Work With Percentages

A store normally sells a certain coat for $40. For the holidays it offers a sale where the new price of the coat is now $30. What percent discount is the store selling the coat for?

Possible Answers:

$25\%$ discount

$40\%$ discount

$10\%$ discount

$30\%$ discount

$5\%$ discount

Correct answer:

$25\%$ discount

Explanation:

The coat is $10 cheaper than normal.

$\frac{10}{40}=0.25=25\%$

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Example Question #2 : How To Find Percentage

Write 132% as a fraction in simplest form.

Possible Answers:

$\frac{23}{20}$

$\frac{37}{25}$

$\frac{33}{25}$

$\frac{27}{20}$

$\frac{31}{25}$

Correct answer:

$\frac{33}{25}$

Explanation:

Write as a fraction over 100, and simplify:

$\frac{132}{100} = \frac{132\div 4}{100\div 4} = \frac{33}{25}$

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Example Question #1 : How To Find Percentage

Write $\frac{24}{25}$ as a percent.

Possible Answers:

Correct answer:

Explanation:

Multiply by 100, and simplify:

$\frac{24}{25} \times 100 = \frac{24}{25} \times \frac{100}{1} = \frac{24}{1} \times \frac{4}{1} =\frac{ 96}{1}=96$

The correct choice is 96%.

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Example Question #41 : Percentage

What is the decimal form of 42.5%?

Possible Answers:

425

$\42.5$

0.425

4.25

Correct answer:

0.425

Explanation:

This question is asking you to convert the percent into a decimal. When doing this, you must move the decimal point two spaces to the left. The answer is 0.425

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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : How To Find The Whole From The Part With Percentage

Example Question #581 : Arithmetic

Example Question #32 : Percentage

Example Question #33 : Percentage

Example Question #34 : Percentage

Example Question #35 : Percentage

Example Question #1 : How To Work With Percentages

Example Question #2 : How To Find Percentage

Example Question #1 : How To Find Percentage

Example Question #41 : Percentage

All SSAT Middle Level Math Resources

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