HSPT Math : Arithmetic

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #33 : How To Find The Part From The Whole With Percentage

Write as a decimal.

Possible Answers:

Correct answer:

Explanation:

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

Answer: 

 

 

 

Example Question #34 : How To Find The Part From The Whole With Percentage

Write  as a decimal.

Possible Answers:

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:

 

Example Question #7 : 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:

Correct answer:

Explanation:

Set up the proportion statement and solve for :

Cross-multiply:

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

420 is 150% of what number?

Possible Answers:

Correct answer:

Explanation:

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

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

70 is  of what number?

Possible Answers:

Correct answer:

Explanation:

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

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

24 is 25% of what number?

Possible Answers:

Correct answer:

Explanation:

Think is of .

 

So:

 

and .

 

We have:

 

 

Example Question #1371 : Numbers And Operations

Write 132% as a fraction in simplest form.

Possible Answers:

Correct answer:

Explanation:

Write as a fraction over 100, and simplify:

Example Question #31 : Percentages

Write  as a percent.

Possible Answers:

 %

 %

 %

 %

 %

Correct answer:

 %

Explanation:

Multiply by 100, and simplify:

The correct choice is 96%.

Example Question #32 : Percentages

What percentage of  is ?

Possible Answers:

Correct answer:

Explanation:

To find the percentage, first write the values as a fraction, then convert the fraction's denominator to . We can write the given values as , which can be converted to  by multiplying both the numerator and denominator by  is equivalent to .

Example Question #33 : Percentages

What is 250% of 750?

Possible Answers:

Correct answer:

Explanation:

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

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