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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 #5 : Percentages

What is 225% of 225?

Possible Answers:

562.5

100

281.25

450

506.25

Correct answer:

506.25

Explanation:

Rewrite 225% as a decimal by writing 225 with a decimal point, then shifting it two spaces left:

$225.0\% = 2.25$

Multiply this by 225:

$225 \times 2.25= 506.25$

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Example Question #8 : Percentages

What is 77% of 77?

Possible Answers:

53.9

59.29

100

49.49

Correct answer:

59.29

Explanation:

Rewrite 77% as a decimal by writing 77 with a decimal point, then shifting it two spaces left:

$77.0\% = 0.77$

Multiply this by 77:

$77 \times 0.77 = 59.29$

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Example Question #6 : Percentages

What is $\frac{1}{6} \%$ of 3,000?

Possible Answers:

Correct answer:

Explanation:

Set up a proportion, as follows:

$\frac{N}{3,000} = \frac{\frac{1}{6}}{100}$

Solve for by cross-mutiplying:

$100 \cdot N = \frac{1}{6} \cdot 3,000$

$100 \cdot N = \frac{1}{6} \cdot\frac{ 3,000}{1}$

$100 \cdot N = 500$

$100 \cdot N \div 100 = 500 \div 100$

N = 5

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Example Question #531 : Concepts

What is 40% of $\frac{2}{5}$ ?

Possible Answers:

$\frac{1}{25}$

$\frac{8}{25}$

$\frac{2}{25}$

$\frac{4}{25}$

Correct answer:

$\frac{4}{25}$

Explanation:

Set up the percent proportion, where is the part:

$\frac{N}{(\frac{2}{5})} = \frac{40}{100}$

Solve for , rewriting as follows:

$N \div \frac{2}{5} = \frac{40\div 20}{100\div 20}$

$N \cdot \frac{5}{2} = \frac{2}{5}$

$N \cdot \frac{5}{2} \div \frac{5}{2} = \frac{2}{5} \div \frac{5}{2}$

$N = \frac{2}{5} \cdot \frac{2} {5} = \frac{4}{25}$

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Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

How much would a $\$30$ product sold for $20\%$ off cost?

Possible Answers:

$\$20$

$\$36$

$\$25$

$\$24$

Correct answer:

$\$24$

Explanation:

First, find $20\%$ of $\$30$ :

$0.2\cdot \$30=\$6$

Then, subtract this value from the whole:

$\$30-\$6=\$24$

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

How much would a $\$110$ product sold for $10\%$ off cost?

Possible Answers:

$\$11$

$\$100$

$\$99$

$\$10$

Correct answer:

$\$99$

Explanation:

First, find $10\%$ of $\$110$ :

$0.1\cdot \$110=\$11$

Then, subtract this value from the whole:

$\$110-\$11=\$99$

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Example Question #532 : Concepts

Solve for .

$\small 9\ is\ x\%\ of\ 30.$

Possible Answers:

$\small x=21$

$\small x=3$

$\small x=30$

$\small x=2.1$

Correct answer:

$\small x=30$

Explanation:

Use a proportion to solve the problem.

$\small \frac{9}{30}=\frac{x}{100}$

Cross multiply

$\small 30x=900$

$\small \frac{30x}{30}=\frac{900}{30}$

$\small x=30$

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Example Question #533 : Concepts

Sally painted 11 pictures on Monday, 7 pictures on Wednesday, and 3 pictures on Friday. On average, how many pictures did Sally paint on those 3 days?

Possible Answers:

Correct answer:

Explanation:

To solve, first find the total number of pictures painted:

$\small 11 + 7+ 3= 21$

Then, divide the total number of pictures by the total number of days to find the average.

$\small \small 21\div 3= 7$

Sally painted an average of 7 pictures per day.

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

200 percent of what number is equal to the difference between 75 and 25?

Possible Answers:

$\small 30$

$\small 50$

$\small 20$

$\small 200$

$\small 25$

Correct answer:

$\small 25$

Explanation:

We must first start by finding the difference between $\small 75$ and $\small 25$ :

$\small 75-25 = 50$

Next find the decimal equivalent of $\small 200$ %, which is done by dividing by $\small 100$ :

$\small 200/100 = 2$

Now we divide $\small 50$ by $\small 2$ .

$\small 50/2 = 25$

Our final answer is $\small 25$ , because when it is multiplied by $\small 200$ %, it equals the difference between $\small 75$ and $\small 25$ .

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Example Question #534 : Concepts

Solve:

$\small 17\% \ of\ 29=$

Possible Answers:

$\small 24.07$

$\small 33.93$

$\small 170.59$

$\small 4.93$

Correct answer:

$\small 4.93$

Explanation:

$\small 17\%\ of\ 29=0.17\times29=4.93$

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All HSPT Math Resources

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

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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #5 : Percentages

Example Question #8 : Percentages

Example Question #6 : Percentages

Example Question #531 : Concepts

Example Question #1 : 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 #532 : Concepts

Example Question #533 : Concepts

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

Example Question #534 : Concepts

All HSPT Math Resources

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