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HSPT Math : HSPT Mathematics

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6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Percentage

What is 220% of 0.00022?

Possible Answers:

0.000484

1,000,000

0.000001

0.0484

0.00484

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 #12 : Percentage

What is 3.33% percent of 3.33?

Possible Answers:

100

0.110889

1.10889

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

330 is 75% of what number?

Possible Answers:

420

220

$247 \frac{1}{2}$

440

400

Correct answer:

440

Explanation:

330 is 75% of a number we will call ; alternatively, 0.75 multiplied by is equal to 330. Set up this equation and solve for :

0.75 N = 330

$0.75 N \div 0.75 = 330\div 0.75$

N = 440

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Example Question #2 : How To Find The Whole From The Part With Percentage

88 is $12 \frac{1}{2}$ % of what number?

Possible Answers:

704

576

Correct answer:

704

Explanation:

We can rewrite $12 \frac{1}{2}$ % as 12.5%. 88 is 12.5% of a number , or, equivalently, 0.125 multiplied by a number is equal to 88. We can write this as an equation and solve for :

0.125 N = 88

$0.125 N \div 0.125 = 88 \div 0.125$

N =704

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Example Question #2 : How To Find The Whole From The Part With Percentage

32 is $2 \frac{1}{2}$ % of what number?

Possible Answers:

$\frac{4}{5}$

1,280

$7\frac{7}{8}$

800

128

Correct answer:

1,280

Explanation:

We can rewrite $2 \frac{1}{2}$ % as 2.5%. 32 is 2.5% of a number , or, equivalently, 0.025 multiplied by a number is equal to 32. We can write this as an equation and solve for :

0.025 N = 32

$0.025 N \div 0.025 = 32 \div 0.025$

N = 1,280

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Example Question #3 : How To Find The Whole From The Part With Percentage

3,200 is 160% of what number?

Possible Answers:

2,000

$2,133\frac{1}{3}$

2,400

5,120

3,040

Correct answer:

2,000

Explanation:

Set up the proportion statement and solve for by cross-multiplying:

$\frac{3,200}{N}= \frac{160}{100}$

$N \cdot 160 = 3,200 \cdot 100 = 320,000$

$N \cdot 160 \div 160 = 320,000\div 160$

N = 2,000

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Example Question #2 : How To Find The Whole From The Part With Percentage

12 is $\frac{3}{4} \%$ of what number?

Possible Answers:

900

$\frac{9}{100}$

1,600

Correct answer:

1,600

Explanation:

Set up the proportion statement and solve for by cross-multiplying:

$\frac{12}{N } = \frac{\frac{3}{4}}{100}$

$\frac{3}{4} \cdot N = 12 \cdot 100 = 1,200$

$\frac{4}{3} \cdot \frac{3}{4} \cdot N = \frac{4}{3} \cdot 1,200$

$N = \frac{4,800}{3} =1,600$

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Example Question #51 : Percentages

Convert $64.32\%$ into a decimal.

Possible Answers:

0.006432

6432

0.6432

64.32

0.06432

Correct answer:

0.6432

Explanation:

To covert a percent to a decimal, simply remove the percent sign and divide by 100.

$64.32\%= \frac{64.32}{100}=0.6432$

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Example Question #572 : Concepts

What percentage of is ?

Possible Answers:

$36.5\%$

$160\%$

$30\%$

$62.5\%$

$40\%$

Correct answer:

$62.5\%$

Explanation:

Set up an equation that represents this scenario. The question asks what percent of a number is another number. Keep in mind, the percent of a number is over 100.

$\frac{x}{100}(80)= 50$ or $\frac{x}{100}\times \frac{80}{1}=\frac{80x}{100}=50$

We can reduce $\frac{80}{100}$ to $\frac{4}{5}$ by dividing both the numerator and the denominator by

$\frac{4}{5}x = 50$

Now we want to isolate the x by itself. First we multiply each side by

4x=250

Then divide each side by .

$x=\frac{250}{4}= \frac{125}{2}= 0.625 = 62.5\%$

Check: Does $62.5\%$ of equal ?

0.625(80)=50

The correct answer is: $62.5\%$

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Example Question #52 : Percentages

Add the percentages and find the answer in decimal: $3\%+3.5\%+100\%$

Possible Answers:

1.038

10.65

1.065

7.5%

0.1065

Correct answer:

1.065

Explanation:

Add the percentages.

$3\%+3.5\%+100\%= 106.5\%$

To turn the answer into decimal form, simply divide by 100 or move the decimal place back two units to the left and remove the percentage sign.

The answer is: 1.065

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #11 : Percentage

Example Question #12 : Percentage

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

Example Question #2 : How To Find The Whole From The Part With Percentage

Example Question #2 : How To Find The Whole From The Part With Percentage

Example Question #3 : How To Find The Whole From The Part With Percentage

Example Question #2 : How To Find The Whole From The Part With Percentage

Example Question #51 : Percentages

Example Question #572 : Concepts

Example Question #52 : Percentages

All HSPT Math Resources

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