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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

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

Example Questions

Example Question #551 : Concepts

Write $\frac{42}{70}$ as a decimal.

Possible Answers:

6.0

Correct answer:

Explanation:

Divide the numerator (top number) by the denominator (bottom number):

$42\div 70=.60$

Answer:

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Example Question #552 : Concepts

Write $42\%$ as a decimal.

Possible Answers:

4.2

Correct answer:

Explanation:

To convert a percentage into a decimal, divide the number by 100.

Here's a trick: Simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.

You can think of 42 as 42.0 (or 42. - the zero doesn't matter). Now move the decimal point two places to the left.

Answer:

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Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

240 is 30% of what number?

Possible Answers:

960

720

800

Correct answer:

800

Explanation:

Set up the proportion statement and solve for :

$\frac{240}{N}= \frac{30}{100}$

Cross-multiply:

$N\cdot 30 = 240\cdot 100 = 24,000$

$N\cdot 30 \div 30= 24,000 \div 30$

N=800

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Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

420 is 150% of what number?

Possible Answers:

210

630

280

840

300

Correct answer:

280

Explanation:

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

$\frac{420}{N}= \frac{150}{100}$

$N \cdot 150 = 420 \cdot 100 = 42,000$

$N \cdot 150 \div 150 = 42,000 \div 150$

N = 280

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

70 is $\frac{1}{5} \%$ of what number?

Possible Answers:

35,000

$\frac{7}{50}$

14,000

350

Correct answer:

35,000

Explanation:

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

$\frac{70}{N } = \frac{\frac{1}{5}}{100}$

$N \cdot \frac{1}{5}=70 \cdot 100 = 7,000$

$N \cdot \frac{1}{5} \cdot 5 = 7,000 \cdot 5$

N= 35,000

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

24 is 25% of what number?

Possible Answers:

100

Correct answer:

Explanation:

$24=25\%\cdot c$

Think is $b\%$ of .

So:

24=a and 25=b .

We have:

$\frac{24}{0.25}=c\Rightarrow c=96$

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Example Question #1 : How To Find Percentage

Write 132% as a fraction in simplest form.

Possible Answers:

$\frac{33}{25}$

$\frac{23}{20}$

$\frac{37}{25}$

$\frac{31}{25}$

$\frac{27}{20}$

Correct answer:

$\frac{33}{25}$

Explanation:

Write as a fraction over 100, and simplify:

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

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Example Question #2 : How To Find Percentage

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

Possible Answers:

Correct answer:

Explanation:

Multiply by 100, and simplify:

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

The correct choice is 96%.

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Example Question #2042 : Ssat Middle Level Quantitative (Math)

What percentage of is ?

Possible Answers:

$20\%$

$30\%$

$500\%$

$4\%$

$25\%$

Correct answer:

$4\%$

Explanation:

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

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Example Question #1 : Percentage

What is 250% of 750?

Possible Answers:

2,000

1,750

1,875

2,250

2,125

Correct answer:

1,875

Explanation:

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

$750 \cdot 2.5 = 1,875$

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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #551 : Concepts

Example Question #552 : Concepts

Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

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 #1 : How To Find Percentage

Example Question #2 : How To Find Percentage

Example Question #2042 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Percentage

All HSPT Math Resources

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