FTCE : Mathematics

Study concepts, example questions & explanations for FTCE

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Example Questions

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Example Question #11 : Mathematics

A square has area 196 square feet. Give its perimeter.

Possible Answers:

112 feet

49 feet

14 feet

56 feet

28 feet

Correct answer:

56 feet

Explanation:

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 .

Possible Answers:

Correct answer:

Explanation:

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 #1 : Knowledge Of Algebraic Thinking And The Coordinate Plane

Which of the following equations does not describe a line through the point ?

Possible Answers:

Correct answer:

Explanation:

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 #1 : Knowledge Of Algebraic Thinking And The Coordinate Plane

What value of makes this a true statement?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

3%

8.5%

5%

17%

Correct answer:

3%

Explanation:

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 #1 : 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?

Possible Answers:

Correct answer:

Explanation:

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.

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