How to manipulate numbers

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HSPT Quantitative › How to manipulate numbers

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1

What number is 2 percent of 3/8 of 72?

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Explanation

First we need to find 3/8 of 72. To do this, convert 72 into a fraction and multiply.

To find 2 percent of 27, convert 2 percent into decimal form (0.02) and multiply it by 27.

2

What number is percent of the difference between and ?

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Explanation

Work backwards to solve this problem. First, find the difference between the two numbers through subtraction:

Then, multiply by to find the answer:

3

What is less than of ?

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Explanation

First, find of :

Then subtract :

4

percent of is what number?

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Explanation

Multiply by the decimal version of percent:

5

What is less than the product of and ?

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Explanation

First, find the product of and :

Then, subtract :

6

What number is percent of ?

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Explanation

Multiply by to find percent:

7

What is the product of and percent of ?

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Explanation

The square of is :

percent of is :

Multiply these to find the product:

8

What is percent of percent of ?

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Explanation

percent of is :

percent of is :

9

is percent of what number?

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Explanation

Representing the unknown number with an , we know that . Divide both sides by to solve for :

10

What is the square root of the number that is less than the product of and ?

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Explanation

First, find the product of and :

Next, subtract 9:

Finally, the square root of is , because .