FTCE : Knowledge of geometry and measurement

Study concepts, example questions & explanations for FTCE

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Example Questions

Example Question #1 : Knowledge Of Geometry And Measurement

One mile per minute equals approximately ______________ kilometers per hour.

Possible Answers:

8

64

97

102

Correct answer:

97

Explanation:

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?

Possible Answers:

Fluid ounces

Kilometer

Pounds

None of these

Correct answer:

Fluid ounces

Explanation:

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?

Possible Answers:

Energy

Speed

Weight

Electricity

Correct answer:

Energy

Explanation:

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 #4 : Knowledge Of Geometry And Measurement

Which of the given statements about finding the perimeter of a triangle is accurate?

Possible Answers:

The perimeter of a standard triangle is equal to the product 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 two of its sides

The perimeter of a standard triangle is equal to the sum of all of its sides

Correct answer:

The perimeter of a standard triangle is equal to the sum of all of its sides

Explanation:

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 #5 : Knowledge Of Geometry And Measurement

The area of a triangle with height and base of length 12 is what?

Possible Answers:

Correct answer:

Explanation:

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 #6 : Knowledge Of Geometry And Measurement

A square has area 196 square feet. Give its perimeter.

Possible Answers:

28 feet

56 feet

14 feet

49 feet

112 feet

Correct answer:

56 feet

Explanation:

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.

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