How to manipulate numbers

Help Questions

HSPT Quantitative › How to manipulate numbers

Questions 1 - 10

1

What number is percent of the difference between and ?

Explanation

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

Then, multiply by to find the answer:

$84\cdot.75=63$

2

percent of is what number?

Explanation

Multiply by the decimal version of percent:

$2080\cdot.40=832$

3

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

Explanation

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

$\frac{3}{8}\cdot \frac{72}{1} = \frac{216}{8}= 27$

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

$0.02 \cdot 27 = 0.54$

4

What is less than $\frac{3}{4}$ of ?

Explanation

First, find $\frac{3}{4}$ of :

$\frac{3\cdot52}{4}=39$

Then subtract :

5

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

Explanation

First, find the product of and :

$6\cdot15=90$

Next, subtract 9:

Finally, the square root of is , because $9\cdot9=81$ .

6

is percent of what number?

Explanation

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

$x=\frac{8}{.16}=50$

7

What is percent of percent of ?

Explanation

percent of is :

$200\cdot.90=180$

percent of is :

$180\cdot.15=27$

8

What number is percent of ?

Explanation

Multiply by to find percent:

$225\cdot.28=63$

9

What is $\frac{1}{2}$ of the product of and ?

Explanation

First, find the product:

$13\cdot21=273$

Then, find half:

$273\div2=136.5$

10

What is less than the product of and ?

Explanation

First, find the product of and :

$6\cdot710=4260$

Then, subtract :

Page 1 of 22

Return to subject