FAST - Florida State Assessment Readiness Mathematical: Geometric Principles Questions and Answers

Question 1

A rectangular garden is 12 feet long and 8 feet wide. The owner wants to install a fence around the entire perimeter and cover the garden with a layer of topsoil. Which statement accurately describes the amount of fencing and topsoil needed?

Accepted Answer

40 feet of fencing and 96 square feet of topsoil are needed.

Answer

The amount of fencing required is the perimeter of the garden. The formula for the perimeter of a rectangle is P = 2(length + width). So, P = 2(12 ft + 8 ft) = 2(20 ft) = 40 feet. The amount of topsoil needed is the area of the garden. The formula for the area of a rectangle is A = length × width. So, A = 12 ft × 8 ft = 96 square feet.

Question 2

A 13-foot ladder is leaning against a vertical wall. The bottom of the ladder is 5 feet from the base of the wall. How high up the wall does the ladder reach?

Accepted Answer

12 feet

Answer

The ladder, wall, and ground form a right triangle, with the ladder as the hypotenuse. The Pythagorean theorem, a² + b² = c², can be used to solve this. Here, c = 13 and b = 5. So, a² + 5² = 13², which is a² + 25 = 169. Subtracting 25 from both sides gives a² = 144. Taking the square root of 144 gives a = 12. The ladder reaches 12 feet up the wall.

Question 3

Two angles are supplementary. If the measure of the first angle is 115°, what is the measure of the second angle?

Accepted Answer

65°

Answer

Supplementary angles are two angles whose measures add up to 180 degrees. To find the measure of the second angle, subtract the known angle from 180: 180° - 115° = 65°.

Question 4

A point is located at (-3, 5) on a coordinate plane. If this point is reflected across the y-axis, what will its new coordinates be?

Accepted Answer

(3, 5)

Answer

When a point is reflected across the y-axis, the y-coordinate remains the same, while the x-coordinate becomes its opposite. The opposite of -3 is 3. Therefore, the new coordinates are (3, 5).

Question 5

A shipping company uses a box shaped like a rectangular prism with a length of 10 inches, a width of 6 inches, and a height of 4 inches. What is the total volume of the box?

Accepted Answer

240 cubic inches

Answer

The formula for the volume of a rectangular prism is V = length × width × height. Plugging in the given dimensions: V = 10 in × 6 in × 4 in = 240 cubic inches.

FAST - Florida State Assessment Readiness Practice Test

FAST - Florida State Assessment Readiness Practice Test

FAST - Florida State Assessment Readiness Mathematical: Geometric Principles Questions and Answers