FTCE : Mathematics
Study concepts, example questions & explanations for FTCE
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Example Questions
Example Question #1 : Mathematics
Give the next number in the sequence:
The sequence of numbers is formed by starting with 5, and, for each consecutive term, adding a quantity that increases by 1 each time. The sequence is
the missing entry.
Example Question #2 : Mathematics
How many elements are in 
Arranging:
Removing duplicates:
There are 12 elements in this set.
Example Question #3 : Mathematics
How many elements are in 
Example Question #4 : Mathematics
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 #5 : Mathematics
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 #6 : Mathematics
One mile per minute equals approximately ______________ kilometers per hour.
97
102
8
64
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 #7 : Mathematics
Which of the following is a measure of volume?
Kilometer
None of these
Fluid ounces
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 #8 : Mathematics
Of what is a "Joule (J)" a unit of measurement?
Energy
Speed
Weight
Electricity
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 #9 : Mathematics
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 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
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 #10 : Mathematics
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.
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