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Example Questions
Example Question #11 : Mathematics
A square has area 196 square feet. Give its perimeter.
56 feet
14 feet
28 feet
49 feet
112 feet
56 feet
The area of the square is equal to the length of a side multiplied by itself. Thus, the length of a side is equal to the square root of 196. Since , 196 is the square of 14, and 14 is the square root of 196; it follows that the square has four sides of measure 14 feet. The perimeter of a square is four times the length of a side, so the perimeter of this square is feet.
Example Question #1 : Knowledge Of Algebraic Thinking And The Coordinate Plane
and .
If , then evaluate .
If , then can be determined from the equation
first by substituting 18 for :
then by dividing both sides by 18 to isolate the :
Now, in the other equation, substitute 4 for :
Divide both sides by 4 to isolate the :
,
the correct choice.
Example Question #2 : Knowledge Of Algebraic Thinking And The Coordinate Plane
Which of the following equations does not describe a line through the point ?
If the line of an equation passes through , then, if and , the equation should be true. Therefore, we can identify the correct choice by substituting 2 and 6 for and , respectively, in each equation.
True
True
True
True
False
The correct choice is
.
Example Question #12 : Mathematics
What value of makes this a true statement?
Isolate the on the left side of the equation by performing the same steps on both sides. These steps should be the opposite of the operations performed on , as follows:
Multiplication precedes subtraction in the order of operations, so reverse the subtraction of 12 by adding 12 to both sides:
Now reverse multiplication by 2 by dividing by 2:
.
Example Question #1 : Knowledge Of Probability, Statistics, And Data Interpretation
What is the likelihood, expressed as a percentage, of rolling 2 straight 2s using one 6-sided dice?
3%
17%
8.5%
5%
3%
The likelihood of rolling any given number on a 6-sided dice is 16.6%, to get the likelihood of that even happening twice in a row, simply multiply 16.6% by itself, to get 2.7%, rounded up to 3%
Example Question #2 : Knowledge Of Probability, Statistics, And Data Interpretation
A set of ten scores has mean 30.
Nine of the scores are given below, with the circle representing the tenth.
What is the tenth score?
The mean of a group of scores is equal to their sum divided by the number of scores , or,
Set and , and solve for :
Multiply both sides by 10 to reverse division by 10:
The sum of the scores must be 300. Add the known scores:
Subtract this sum from 300:
,
the missing tenth score.