Knowledge of geometry and measurement - FTCE
Card 1 of 24
One mile per minute equals approximately kilometers per hour.
One mile per minute equals approximately kilometers per hour.
Tap to reveal answer
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.
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.
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Which of the following is a measure of volume?
Which of the following is a measure of volume?
Tap to reveal answer
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.
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.
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Of what is a "Joule (J)" a unit of measurement?
Of what is a "Joule (J)" a unit of measurement?
Tap to reveal answer
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.
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.
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Which of the given statements about finding the perimeter of a triangle is accurate?
Which of the given statements about finding the perimeter of a triangle is accurate?
Tap to reveal answer
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.
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.
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A square has area 196 square feet. Give its perimeter.
A square has area 196 square feet. Give its perimeter.
Tap to reveal answer
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.
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
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The area of a triangle with height 
and base of length 12 is what?
The area of a triangle with height
Tap to reveal answer
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.
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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One mile per minute equals approximately kilometers per hour.
One mile per minute equals approximately kilometers per hour.
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
Which of the following is a measure of volume?
Which of the following is a measure of volume?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
Of what is a "Joule (J)" a unit of measurement?
Of what is a "Joule (J)" a unit of measurement?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
Which of the given statements about finding the perimeter of a triangle is accurate?
Which of the given statements about finding the perimeter of a triangle is accurate?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
A square has area 196 square feet. Give its perimeter.
A square has area 196 square feet. Give its perimeter.
Tap to reveal answer
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.
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
← Didn't Know|Knew It →
The area of a triangle with height and base of length 12 is what?
The area of a triangle with height
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
One mile per minute equals approximately kilometers per hour.
One mile per minute equals approximately kilometers per hour.
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
Which of the following is a measure of volume?
Which of the following is a measure of volume?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
Of what is a "Joule (J)" a unit of measurement?
Of what is a "Joule (J)" a unit of measurement?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
Which of the given statements about finding the perimeter of a triangle is accurate?
Which of the given statements about finding the perimeter of a triangle is accurate?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
A square has area 196 square feet. Give its perimeter.
A square has area 196 square feet. Give its perimeter.
Tap to reveal answer
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.
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
← Didn't Know|Knew It →
The area of a triangle with height and base of length 12 is what?
The area of a triangle with height
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
One mile per minute equals approximately kilometers per hour.
One mile per minute equals approximately kilometers per hour.
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
Which of the following is a measure of volume?
Which of the following is a measure of volume?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →