HSPT Quantitative : How to manipulate numbers

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #181 : Number Manipulation*

245 is 70 percent of what number?

Possible Answers:

Correct answer:

Explanation:

To find the answer, we need to convert the question into an algebraic equation.

To solve for , divide each side by 0.7.

Example Question #531 : Hspt Quantitative Skills

What number is 15 less than 1/4 of 200?

Possible Answers:

Correct answer:

Explanation:

First, we need to calculate 1/4 of 200.  This can be done by multiplying fractions:

OR by converting 1/4 into a decimal (0.25) and multiplying.

A number 15 less than 50 is:

Example Question #182 : Number Manipulation*

What number is the difference of 30 percent of 300 and 15 percent of 200?

Possible Answers:

Correct answer:

Explanation:

We need to calculate both 30 percent of 300 AND 15 percent of 200.  To do this convert the percentages into decimals and then multiply by the appropriate number.

Next, subtract the second answer from the first.

Example Question #183 : Number Manipulation*

What number is 50 percent of the average of 25, 35, and 72?

Possible Answers:

Correct answer:

Explanation:

To find the average of 25, 32 and 72, we need to add them together and then divide by the number of elements.  (In this case, 3.)

Divide 132 by 3.

To find 50 percent of 44, convert 50 percent into a decimal (0.50) and multiply by 44.

Example Question #532 : Hspt Quantitative Skills

What number is 12 more than the product of 18 and 14?

Possible Answers:

Correct answer:

Explanation:

First, find the product of 18 and 14.

Second, add 12.

Example Question #533 : Hspt Quantitative Skills

30 percent of 30 percent of 900 is what number?

Possible Answers:

Correct answer:

Explanation:

First, we need to determine 30 percent of 900.  Convert 30 percent to a decimal, 0.30, and multiply by 900.

Next, we need to find 30 percent of 270.

Example Question #534 : Hspt Quantitative Skills

What number is 15 more than 40 percent of 1,500?

Possible Answers:

Correct answer:

Explanation:

First, we need to find 40 percent of 1,500. 

Convert 40 percent to a decimal, 0.40, and multiply by 1,500.

15 more than this number is:

Example Question #185 : How To Manipulate Numbers

What is of the average of 9, 27 and 36?

Possible Answers:

Correct answer:

Explanation:

To find an average, you add the numbers together and divide by the number in the set. 

In this case, there are three numbers in the set:  9, 27 and 36.

Now we need to find of 24.

Example Question #188 : Number Manipulation*

What is 75 percent of of 200?

Possible Answers:

Correct answer:

Explanation:

To find of 200, multiply.

To find 75 percent of 50, convert 75 percent into a decimal, 0.75, and multiply.

Example Question #541 : Hspt Quantitative Skills

What is the difference between 25 percent of 400 and 15 percent of 600?

Possible Answers:

Correct answer:

Explanation:

We first need to determine the value of each equation.  The first equation, 25 percent of 400, can be expressed by multiplying 400 by the decimal version of 25 percent, 0.25.

The second equation, 15 percent of 600, can be expressed by multiplying 600 by the decimal version of 15 percent, 0.15.

To find the difference, we subtract the second answer from the first answer.

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