Number Manipulation*

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HSPT Quantitative › Number Manipulation*

Questions 1 - 10

1

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.

$0.02 \cdot 27 = 0.54$

2

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:

$84\cdot.75=63$

3

percent of is what number?

Explanation

Multiply by the decimal version of percent:

$2080\cdot.40=832$

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 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:

$84\cdot.75=63$

6

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

Explanation

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

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

Then subtract :

7

percent of is what number?

Explanation

Multiply by the decimal version of percent:

$2080\cdot.40=832$

8

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.

$0.02 \cdot 27 = 0.54$

9

What is the difference between $\frac{5}{6}$ and $\frac{2}{3}$ ?

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{3}{8}$

$\frac{1}{5}$

Explanation

Converted to have a common denominator, the problem reads:

What is the difference between $\frac{5}{6}$ and $\frac{4}{6}$ ?

Subtract to find the difference:

$\frac{5}{6}-\frac{4}{6}=\frac{1}{6}$

10

is what percent of ?

Explanation

Set up a proportion, representing the unknown percentage with an :

$\frac{360}{300}=\frac{x}{100}$

Now cross multiply and solve:

$x=\frac{36000}{300}=120$

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