All FTCE Resources
Example Questions
Example Question #11 : Ftce
How many elements are in ?
denotes the intersection of and , the set of all elements the two sets have in common. These elements are underlined below:
is a set with three elements.
Example Question #12 : Ftce
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 #13 : Ftce
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 #14 : Ftce
One mile per minute equals approximately ______________ kilometers per hour.
64
8
97
102
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 #15 : Ftce
Which of the following is a measure of volume?
None of these
Kilometer
Pounds
Fluid ounces
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 #16 : Ftce
Of what is a "Joule (J)" a unit of measurement?
Energy
Electricity
Weight
Speed
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 #17 : Ftce
Which of the given statements about finding the perimeter of a triangle is accurate?
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 product of all of its sides
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 #18 : Ftce
The area of a triangle with height and base of length 12 is what?
To solve for in the equation
,
subtract 3 from both sides to reverse the addition of 3:
The height of a triangle is , and the length of its base is . The area of a triangle with base and height is
,
so, substituting these values,
,
the correct response.
Example Question #19 : Ftce
A square has area 196 square feet. Give its perimeter.
49 feet
28 feet
56 feet
112 feet
14 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.