Knowledge of geometry and measurement

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FTCE › Knowledge of geometry and measurement

Questions 1 - 6
1

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 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

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.

2

Which of the following is a measure of volume?

Fluid ounces

Kilometer

Pounds

None of these

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.

3

Of what is a "Joule (J)" a unit of measurement?

Energy

Electricity

Weight

Speed

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.

4

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

56 feet

112 feet

14 feet

49 feet

28 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.

5

One mile per minute equals approximately ______________ kilometers per hour.

97

102

64

8

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.

6

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

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.

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