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SSAT Middle Level Math : Numbers and Operations

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Example Questions

Example Question #61 : Percentages

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

Possible Answers:

16,000

15,000

12,500

14,400

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 #1371 : Numbers And Operations

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

246,700

11,748

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 #1372 : Numbers And Operations

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:

$100 \textsl{ fish}$

$75 \textsl{ fish}$

$120 \textsl{ fish}$

$50 \textsl{ fish}$

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 #1373 : Numbers And Operations

0.45 is 24% of what number?

Possible Answers:

2.125

2.05

1.875

1.95

2.225

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 Find Percentage

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:

$10\%$ discount

$40\%$ discount

$30\%$ discount

$5\%$ discount

$25\%$ 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:

$\frac{37}{25}$

$\frac{31}{25}$

$\frac{27}{20}$

$\frac{23}{20}$

$\frac{33}{25}$

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 #3 : 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 #3 : How To Find Percentage

What is the decimal form of 42.5%?

Possible Answers:

0.425

4.25

425

$\42.5$

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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Example Question #3 : Percentages

Marshal saves 10% of his paycheck each week. If Marshal earned $652.20 this week, approximately how much money did he save?

Possible Answers:

$\$70$

$\$60$

$\$7$

$\$55$

$\$30$

Correct answer:

$\$70$

Explanation:

The word approximately tells you that you need to estimate to get the answer. $652.20 can round up to $700 because 52.20 is more than half of 100. Since 10% is equal to the decimal 0.10, we multiply 700 by this number in order to find out what 10% of 700 is.

$700\times 0.10 = 70$

The answer is $\$70$

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Example Question #2042 : Ssat Middle Level Quantitative (Math)

What percentage of is ?

Possible Answers:

$20\%$

$30\%$

$500\%$

$4\%$

$25\%$

Correct answer:

$4\%$

Explanation:

To find the percentage, first write the values as a fraction, then convert the fraction's denominator to 100 . We can write the given values as $\frac{2}{50}$ , which can be converted to $\frac{4}{100}$ by multiplying both the numerator and denominator by . $\frac{4}{100}$ is equivalent to $4\%$ .

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SSAT Middle Level Math : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #61 : Percentages

Example Question #1371 : Numbers And Operations

Example Question #1372 : Numbers And Operations

Example Question #1373 : Numbers And Operations

Example Question #1 : How To Find Percentage

Example Question #2 : How To Find Percentage

Example Question #3 : How To Find Percentage

Example Question #3 : How To Find Percentage

Example Question #3 : Percentages

Example Question #2042 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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