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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 #1151 : Hspt Mathematics

Write 132% as a fraction in simplest form.

Possible Answers:

$\frac{27}{20}$ $\displaystyle \frac{27}{20}$

$\frac{23}{20}$ $\displaystyle \frac{23}{20}$

$\frac{33}{25}$ $\displaystyle \frac{33}{25}$

$\frac{37}{25}$ $\displaystyle \frac{37}{25}$

$\frac{31}{25}$ $\displaystyle \frac{31}{25}$

Correct answer:

$\frac{33}{25}$ $\displaystyle \frac{33}{25}$

Explanation:

Write as a fraction over 100, and simplify:

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

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Example Question #1151 : Hspt Mathematics

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

Possible Answers:

$\displaystyle 88$ %

$\displaystyle 98$ %

$\displaystyle 72$ %

$\displaystyle 96$ %

$\displaystyle 84$ %

Correct answer:

$\displaystyle 96$ %

Explanation:

Multiply by 100, and simplify:

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

The correct choice is 96%.

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Example Question #3 : How To Find Percentage

What percentage of $\displaystyle 50$ is $\displaystyle 2$ ?

Possible Answers:

$500\%$ $\displaystyle 500\%$

$25\%$ $\displaystyle 25\%$

$30\%$ $\displaystyle 30\%$

$4\%$ $\displaystyle 4\%$

$20\%$ $\displaystyle 20\%$

Correct answer:

$4\%$ $\displaystyle 4\%$

Explanation:

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

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Example Question #551 : Concepts

What is 250% of 750?

Possible Answers:

2,250 $\displaystyle 2,250$

1,875 $\displaystyle 1,875$

1,750 $\displaystyle 1,750$

2,000 $\displaystyle 2,000$

2,125 $\displaystyle 2,125$

Correct answer:

1,875 $\displaystyle 1,875$

Explanation:

Taking 250% of a number is the same as multiplying that number by 2.5. We therefore take the product:

$750 \cdot 2.5 = 1,875$ $\displaystyle 750 \cdot 2.5 = 1,875$

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Example Question #561 : Concepts

What is 30% of 150?

Possible Answers:

$\displaystyle 45$

$\displaystyle 15$

165 $\displaystyle 165$

$\displaystyle 60$

$\displaystyle 50$

Correct answer:

$\displaystyle 45$

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:

$150 \times 0.30 = 45$ $\displaystyle 150 \times 0.30 = 45$

Your answer is $\displaystyle 45$ .

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Example Question #1152 : Hspt Mathematics

If $\displaystyle 60$ is $30\%$ $\displaystyle 30\%$ of $\displaystyle x$ , what is $40\%$ $\displaystyle 40\%$ of $\displaystyle x$ ?

Possible Answers:

$\displaystyle 80$

$\displaystyle 50$

400 $\displaystyle 400$

180 $\displaystyle 180$

1800 $\displaystyle 1800$

Correct answer:

$\displaystyle 80$

Explanation:

We can solve for $\displaystyle x$ with the algebraic equation:

$0.3\cdot x=60$ $\displaystyle 0.3\cdot x=60$

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

x=200 $\displaystyle x=200$

We can then calculate $40\%$ $\displaystyle 40\%$ of $\displaystyle x$ :

$0.4\cdot200=80$ $\displaystyle 0.4\cdot200=80$

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

What is $40\%$ $\displaystyle 40\%$ of $\displaystyle 80$ ?

Possible Answers:

$\displaystyle 40$

200 $\displaystyle 200$

$\displaystyle 24$

320 $\displaystyle 320$

$\displaystyle 32$

Correct answer:

$\displaystyle 32$

Explanation:

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

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

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

Possible Answers:

$50\frac{5}{8}$ $\displaystyle 50\frac{5}{8}$

$5 \frac{1}{16}$ $\displaystyle 5 \frac{1}{16}$

100 $\displaystyle 100$

$\displaystyle 1$

$\frac{81}{160}$ $\displaystyle \frac{81}{160}$

Correct answer:

$5 \frac{1}{16}$ $\displaystyle 5 \frac{1}{16}$

Explanation:

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

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

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

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

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

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Example Question #2001 : Ssat Middle Level Quantitative (Math)

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

Possible Answers:

800 $\displaystyle 800$

$55\frac{5}{9}$ $\displaystyle 55\frac{5}{9}$

$\displaystyle 80$

$5\frac{5}{9}$ $\displaystyle 5\frac{5}{9}$

8,000 $\displaystyle 8,000$

Correct answer:

$55\frac{5}{9}$ $\displaystyle 55\frac{5}{9}$

Explanation:

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

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

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

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

Cross-cancel:

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

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

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

What is 8,000% of 9,000?

Possible Answers:

$\displaystyle 72,000,000$

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

720,000 $\displaystyle 720,000$

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

7,200 $\displaystyle 7,200$

Correct answer:

720,000 $\displaystyle 720,000$

Explanation:

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

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

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #1151 : Hspt Mathematics

Example Question #1151 : Hspt Mathematics

Example Question #3 : How To Find Percentage

Example Question #551 : Concepts

Example Question #561 : Concepts

Example Question #1152 : Hspt Mathematics

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

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

Example Question #2001 : Ssat Middle Level Quantitative (Math)

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

All HSPT Math Resources

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