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Example Questions
Example Question #1 : Knowledge Of Number Sense, Concepts, And Operations
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 #1 : Ftce
How many elements are in ?
denotes the union of
and
, the set of all elements that are in
,
, or both. To find this set, first, collect the elements in both sets:
Arranging:
Removing duplicates:
There are 12 elements in this set.
Example Question #2 : Knowledge Of Number Sense, Concepts, And Operations
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 #1 : 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 #1 : 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 #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 : 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 sum of two of its sides
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 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 : Mathematics
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.
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