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Study concepts, example questions & explanations for FTCE
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Example Questions
Example Question #1 : Knowledge Of Number Sense, Concepts, And Operations
How many elements are in 
Example Question #1 : Knowledge Of Number Sense, Concepts, And Operations
Evaluate:
In the order of operations, any operation within parentheses is always performed first. First, add 12 and 25:
Multiplication takes precedence over subtraction. Multiply 13 by 8 next:
Now subtract:
Example Question #2 : Knowledge Of Number Sense, Concepts, And Operations
Calculate
and round the result to the nearest hundredth.
Add the decimals vertically by aligning the decimal points, and adding the digits without regard to the decimal point:
Round to the nearest hundredth (second place after the decimal point) by examining the next digit to the right. This digit is an 8, so round the hundredths digit up to 7. This makes the correct choice 0.67.
Example Question #1 : Knowledge Of Geometry And Measurement
One mile per minute equals approximately ______________ kilometers per hour.
102
64
8
97
97
First convert 1 mile per minute into miles per hour by multiplying by 60, then simply convert 60 miles per hour to km per hour by 1.6 to get 96.6, rounded up to 97.
Example Question #2 : Knowledge Of Geometry And Measurement
Which of the following is a measure of volume?
Fluid ounces
Kilometer
None of these
Pounds
Fluid ounces
Fluid ounces are the only provided measure of volume. Volume is measured in liquid displaced by an object. Kilometers are a measure of distance, and pounds are a measure of weight, which is related to, but not the same as, volume.
Example Question #3 : Knowledge Of Geometry And Measurement
Of what is a "Joule (J)" a unit of measurement?
Weight
Electricity
Speed
Energy
Energy
Joules are units of measurement used to describe energy (kinetic or potential). While "electricity" may be a tempting option here, "energy" is more correct; while electrical energy can be measured in Joules, not all energy measured in Joules is electrical in nature.
Example Question #1 : Knowledge Of Geometry And Measurement
Which of the given statements about finding the perimeter of a triangle is accurate?
The perimeter of a standard triangle is equal to the product of all of its sides
The perimeter of a standard triangle is equal to the sum of all of its sides
The perimeter of a standard triangle is equal to the sum of two of its sides
The perimeter of a standard triangle is not measurable
The perimeter of a standard triangle is equal to the sum of all of its sides
This is a basic, clear geometric rule that all students must know: for a standard triangle the sum of the sides is equal to the perimeter. No other answer was acceptable.
Example Question #2 : Knowledge Of Geometry And Measurement
The area of a triangle with height 
To solve for 
subtract 3 from both sides to reverse the addition of 3:
The height of a triangle is 
so, substituting these values,
the correct response.
Example Question #11 : Mathematics
A square has area 196 square feet. Give its perimeter.
112 feet
49 feet
14 feet
56 feet
28 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 
Example Question #1 : Knowledge Of Algebraic Thinking And The Coordinate Plane
If 
If 
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.
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