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SSAT Middle Level Math : Numbers and Operations

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Example Questions

Example Question #1341 : Numbers And Operations

What is 30% of 150?

Possible Answers:

165

Correct answer:

Explanation:

One way to go about solving this problem is to convert the percent into a decimal and multiply your whole number by that in order to get your answer. When converting a percent into a decimal, move the decimal point two spaces to the left:

30% = 0.30

Then, multiply this number times 150:

$150 \times 0.30 = 45$

Your answer is .

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Example Question #1342 : Numbers And Operations

If is $30\%$ of , what is $40\%$ of ?

Possible Answers:

400

180

1800

Correct answer:

Explanation:

We can solve for with the algebraic equation:

$0.3\cdot x=60$

$x=\frac{60}{0.3}$

x=200

We can then calculate $40\%$ of :

$0.4\cdot200=80$

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Example Question #5 : Percentage

What is $40\%$ of ?

Possible Answers:

200

320

Correct answer:

Explanation:

We can convert $40\%$ to $\frac{40}{100}$ or 0.4 . We can then calculate $0.4\cdot 80=32$ .

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Example Question #4 : How To Work With Percentages

Susan has a coupon for 10% off any one item at her favorite department store. There is also a storewide sale of 50% off all purchases.

If Susan wants to by a shirt originally priced at $42, how much will she pay?

Possible Answers:

$16.50

$37.80

$21.00

$20.00

$18.90

Correct answer:

$18.90

Explanation:

The storewide sale discounts the shirt by 50%:

$.5\times \$42=\$21$

Susan also has the 10% off coupon, so she's really paying 90% of the cost of the shirt:

$.9\times \$21=\$18.90$

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Example Question #4 : How To Find The Part From The Whole With Percentage

What is $22 \frac{1}{2} \%$ of $22 \frac{1}{2}$ ?

Possible Answers:

$50\frac{5}{8}$

$5 \frac{1}{16}$

100

$\frac{81}{160}$

Correct answer:

$5 \frac{1}{16}$

Explanation:

$22 \frac{1}{2} \%$ of $22 \frac{1}{2}$ can be rewritten as

$\frac{22 \frac{1}{2} }{100} \times 22 \frac{1}{2}$

$= \frac{45}{2} \times \frac{1}{100} \times \frac{45}{2}$

$= \frac{45 \times 1 \times 45}{2 \times 100 \times 2}$

$= \frac{2,025}{400} = \frac{2,025 \div 25}{400\div 25} = \frac{81}{16} = 5 \frac{1}{16}$

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Example Question #5 : Percentage

What is $8\frac{1}{3} \%$ of $666 \frac{2}{3}$ ?

Possible Answers:

8,000

$5\frac{5}{9}$

$55\frac{5}{9}$

800

Correct answer:

$55\frac{5}{9}$

Explanation:

$8\frac{1}{3} \%$ of $666 \frac{2}{3} \%$ is equal to:

$\frac{8 \frac{1}{3} }{100} \times 666 \frac{2}{3} \%$

$= \frac{ \frac{25}{3} }{100} \times \frac{2,000}{3}$

$= \frac{25}{3} \times \frac{1 }{100} \times \frac{2,000}{3}$

Cross-cancel:

$\frac{25}{3} \times \frac{1 }{1} \times \frac{20}{3}$

$= \frac{500}{9} = 55\frac{5}{9}$

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Example Question #2 : Percentage

What is 8,000% of 9,000?

Possible Answers:

$888\frac{8}{9}$

72,000,000

$8,888\frac{8}{9}$

7,200

720,000

Correct answer:

720,000

Explanation:

Taking 8,000%, as a decimal, is equivalent to multiplying it by $8,000 \div 100 = 80$ , so 8,000% of 9,000 is equivalent to

$80 \times 9,000 = 720,000$ .

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Example Question #1341 : Numbers And Operations

What is 220% of 0.00022?

Possible Answers:

0.000001

0.00484

1,000,000

0.000484

0.0484

Correct answer:

0.000484

Explanation:

220% of a number is 2.2 multiplied by that number, so 220% of 0.00022 is equal to

$2.2 \times 0.00022 = 0.000484$ .

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Example Question #1344 : Numbers And Operations

What is 3.33% percent of 3.33?

Possible Answers:

0.110889

1.10889

100

0.0110889

Correct answer:

0.110889

Explanation:

Taking 3.33% percent of a number is the same as multiplying it by 0.0333, so 3.33% percent of 3.33 is equal to

$0.0333 \times 3.33 = 0.110889$ .

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Example Question #1345 : Numbers And Operations

Pie_graph

Refer to the above graph. If there were 20,566 registered voters in Smith County in 2009 , how many voters were not registered as Republicans (nearest whole number)?

Possible Answers:

8,226

15,425

5,142

15,013

6,787

Correct answer:

15,425

Explanation:

$25\%$ of the voters were registered as Republicans, so the rest - $75\%$ - were not. Therefore, we want to calculate $75\%$ of 20,566 , or, equivalently,

$20,566 \times 0.75 = 15,424.5$

which, to the nearest whole number, rounds to 15,425 voters

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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 #1341 : Numbers And Operations

Example Question #1342 : Numbers And Operations

Example Question #5 : Percentage

Example Question #4 : How To Work With Percentages

Example Question #4 : How To Find The Part From The Whole With Percentage

Example Question #5 : Percentage

Example Question #2 : Percentage

Example Question #1341 : Numbers And Operations

Example Question #1344 : Numbers And Operations

Example Question #1345 : Numbers And Operations

All SSAT Middle Level Math Resources

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