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HSPT Math : Percentages

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Example Questions

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

What is 220% of 0.00022?

Possible Answers:

0.0484

0.00484

0.000484

0.000001

1,000,000

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 : How To Find The Part From The Whole With Percentage

What is 3.33% percent of 3.33?

Possible Answers:

1.10889

100

0.0110889

0.110889

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 #1362 : Numbers And Operations

330 is 75% of what number?

Possible Answers:

400

220

440

$247 \frac{1}{2}$

420

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 #1363 : Numbers And Operations

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

Possible Answers:

576

704

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

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

Possible Answers:

128

$\frac{4}{5}$

800

1,280

$7\frac{7}{8}$

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

3,200 is 160% of what number?

Possible Answers:

3,040

2,000

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

5,120

2,400

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 #571 : Arithmetic

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

Possible Answers:

$\frac{9}{100}$

900

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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HSPT Math : Percentages

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

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

Example Question #5 : Percentage

Example Question #2 : Percentage

Example Question #11 : How To Find The Part From The Whole With Percentage

Example Question #12 : How To Find The Part From The Whole With Percentage

Example Question #1362 : Numbers And Operations

Example Question #1363 : Numbers And Operations

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

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

Example Question #571 : Arithmetic

All HSPT Math Resources

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