HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #1151 : Hspt Mathematics

Write 132% as a fraction in simplest form.

Possible Answers:

\displaystyle \frac{27}{20}

\displaystyle \frac{23}{20}

\displaystyle \frac{33}{25}

\displaystyle \frac{37}{25}

\displaystyle \frac{31}{25}

Correct answer:

\displaystyle \frac{33}{25}

Explanation:

Write as a fraction over 100, and simplify:

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

Example Question #1151 : Hspt Mathematics

Write \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:

\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%.

Example Question #3 : How To Find Percentage

What percentage of \displaystyle 50 is \displaystyle 2?

Possible Answers:

\displaystyle 500\%

\displaystyle 25\%

\displaystyle 30\%

\displaystyle 4\%

\displaystyle 20\%

Correct answer:

\displaystyle 4\%

Explanation:

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

Example Question #551 : Concepts

What is 250% of 750?

Possible Answers:

\displaystyle 2,250

\displaystyle 1,875

\displaystyle 1,750

\displaystyle 2,000

\displaystyle 2,125

Correct answer:

\displaystyle 1,875

Explanation:

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

\displaystyle 750 \cdot 2.5 = 1,875

Example Question #561 : Concepts

What is 30% of 150?

Possible Answers:

\displaystyle 45

\displaystyle 15

\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:

\displaystyle 150 \times 0.30 = 45

Your answer is \displaystyle 45.

Example Question #1152 : Hspt Mathematics

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

Possible Answers:

\displaystyle 80

\displaystyle 50

\displaystyle 400

\displaystyle 180

\displaystyle 1800

Correct answer:

\displaystyle 80

Explanation:

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

\displaystyle 0.3\cdot x=60

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

\displaystyle x=200

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

\displaystyle 0.4\cdot200=80

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

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

Possible Answers:

\displaystyle 40

\displaystyle 200

\displaystyle 24

\displaystyle 320

\displaystyle 32

Correct answer:

\displaystyle 32

Explanation:

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

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

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

Possible Answers:

\displaystyle 50\frac{5}{8}

\displaystyle 5 \frac{1}{16}

\displaystyle 100

\displaystyle 1

\displaystyle \frac{81}{160}

Correct answer:

\displaystyle 5 \frac{1}{16}

Explanation:

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

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

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

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

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

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

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

Possible Answers:

\displaystyle 800

\displaystyle 55\frac{5}{9}

\displaystyle 80

\displaystyle 5\frac{5}{9}

\displaystyle 8,000

Correct answer:

\displaystyle 55\frac{5}{9}

Explanation:

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

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

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

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

Cross-cancel:

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

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

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

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

\displaystyle 720,000

\displaystyle 888\frac{8}{9}

\displaystyle 7,200

Correct answer:

\displaystyle 720,000

Explanation:

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

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

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