Question 1

Convert the given angle measure into degrees and decimal fractions of a degree.
-$81 ^ { \circ } 29 ^ { \prime } 48 ^ { \prime \prime }$

Accepted Answer

A)  $81.507 ^ { \circ }$ 
B)  $81.457 ^ { \circ }$ 
C)  $81.497 ^ { \circ }$ 
D)  $81.557 ^ { \circ }$ 
A)  $81.507 ^ { \circ }$ 
B)  $81.457 ^ { \circ }$ 
C)  $81.497 ^ { \circ }$ 
D)  $81.557 ^ { \circ }$

Question 2

Provide an appropriate response.
-How much does a road with a 27% grade rise for each horizontal foot?

Accepted Answer

A) 0.27 ft 
B) 0.243 ft 
C) 0.216 ft 
D) 0.297 ft 
A) 0.27 ft 
B) 0.243 ft 
C) 0.216 ft 
D) 0.297 ft

Question 3

Solve the problem.
-If you magically quadrupled in size, by what factor has your waist size increased?

Accepted Answer

A) 4 
B) 3 
C) 64 
D) 16 
A) 4 
B) 3 
C) 64 
D) 16

Question 4

Find the area of the triangle.
-

Accepted Answer

A)  $468 \mathrm {~m} ^ { 2 }$ 
B)  $738 \mathrm {~m} ^ { 2 }$ 
C)  $936 \mathrm {~m} ^ { 2 }$ 
D)  $648 \mathrm {~m} ^ { 2 }$ 
A)  $468 \mathrm {~m} ^ { 2 }$ 
B)  $738 \mathrm {~m} ^ { 2 }$ 
C)  $936 \mathrm {~m} ^ { 2 }$ 
D)  $648 \mathrm {~m} ^ { 2 }$

Question 5

Provide an appropriate response.
-Determine which surface is steeper between a roof with a pitch of 1 in 5 or a roof with a slope of $\frac { 1 } { 2 }$.

Accepted Answer

A)  a roof with a slope of $\frac { 1 } { 2 }$ 
B)  a roof with a pitch of 1 in 5 
A)  a roof with a slope of $\frac { 1 } { 2 }$ 
B)  a roof with a pitch of 1 in 5

Question 6

Find the degree measure of the angle created by the given part of a circle.
-$\frac { 1 } { 60 } \text { circle }$

Accepted Answer

A) 24° 
B) 6° 
C) 12° 
D) 3° 
A) 24° 
B) 6° 
C) 12° 
D) 3°

Question 7

Use the formula relating angular size, physical size and distance.
-What is the angular size of a quarter viewed from a distance of 73 yards?

Accepted Answer

A) 0.05° 
B) 1.15° 
C) 0.02° 
D) 0.78° 
A) 0.05° 
B) 1.15° 
C) 0.02° 
D) 0.78°

Question 8

Find the dimension of the object and state whether or not it is a fractal.
-In measuring the area of the object, when you reduce the length of your ruler by a factor of 3, the number of length elements increases by a factor of 12.

Accepted Answer

A) The dimension is 0.442 and the object is fractal. 
B) The dimension is 9 and the object is ordinary (non-fractal). 
C) The dimension is 2.262 and the object is fractal. 
D) The dimension is 3.262 and the object is fractal. 
A) The dimension is 0.442 and the object is fractal. 
B) The dimension is 9 and the object is ordinary (non-fractal). 
C) The dimension is 2.262 and the object is fractal. 
D) The dimension is 3.262 and the object is fractal.

Question 9

Provide an appropriate response.
-A geometric line is formed by the shortest path between any 2 points.

Accepted Answer

A) True 
 B)False

Question 10

Find the perimeter and area of the figure.
-A parallelogram with sides of length of 4.5 feet and 9 feet, and a distance between the 9-foot sides of 0.8 foot.

Accepted Answer

A)  $\mathrm { P } = 27 \mathrm { ft } , \mathrm { A } = 7.2 \mathrm { ft } ^ { 2 }$ 
B)  $\mathrm { P } = 8.1 \mathrm { ft } , \mathrm { A } = 1.1 \mathrm { ft } ^ { 2 }$ 
C)  $\mathrm { P } = 27 \mathrm { ft } , \mathrm { A } = 8.1 \mathrm { ft } ^ { 2 }$ 
D)  $P = 8.1 \mathrm { ft } , \mathrm { A } = 0.7 \mathrm { ft } ^ { 2 }$ 
A)  $\mathrm { P } = 27 \mathrm { ft } , \mathrm { A } = 7.2 \mathrm { ft } ^ { 2 }$ 
B)  $\mathrm { P } = 8.1 \mathrm { ft } , \mathrm { A } = 1.1 \mathrm { ft } ^ { 2 }$ 
C)  $\mathrm { P } = 27 \mathrm { ft } , \mathrm { A } = 8.1 \mathrm { ft } ^ { 2 }$ 
D)  $P = 8.1 \mathrm { ft } , \mathrm { A } = 0.7 \mathrm { ft } ^ { 2 }$

Question 11

Find the area of the triangle.
-

Accepted Answer

A)  $2037 \text { in. }^ 2$ 
B)  $945 \text { in. }^ 2$ 
C)  $1018.5 \text { in. }^ 2$ 
D)  $882 \text { in. }^ 2$ 
A)  $2037 \text { in. }^ 2$ 
B)  $945 \text { in. }^ 2$ 
C)  $1018.5 \text { in. }^ 2$ 
D)  $882 \text { in. }^ 2$

Question 12

Convert the given degree measure into degrees, minutes, and seconds of arc.
-$334.4753 ^ { \circ }$

Accepted Answer

A)  $334 ^ { \circ } 30 ^ { \prime } 48 ^ { \prime \prime }$ 
B)  $334 ^ { \circ } 29 ^ { \prime } 30 ^ { \prime \prime }$ 
C)  $334 ^ { \circ } 28 ^ { \prime } 48 ^ { \prime \prime }$ 
D)  $334 ^ { \circ } 28 ^ { \prime } 31 ^ { \prime \prime }$ 
A)  $334 ^ { \circ } 30 ^ { \prime } 48 ^ { \prime \prime }$ 
B)  $334 ^ { \circ } 29 ^ { \prime } 30 ^ { \prime \prime }$ 
C)  $334 ^ { \circ } 28 ^ { \prime } 48 ^ { \prime \prime }$ 
D)  $334 ^ { \circ } 28 ^ { \prime } 31 ^ { \prime \prime }$

Question 13

Find the perimeter and area of the figure.
-A rectangle with a length of 11 yards and a width of 12 yards

Accepted Answer

A)  $P = 44 y d , A = 264 y ^ { 2 }$ 
B)  $P = 23 y d , A = 264 y ^ { 2 }$ 
C)  $P = 2 y d , A = 132 y ^ { 2 }$ 
D)  $P = 46 y d , A = 132 y ^ { 2 }$ 
A)  $P = 44 y d , A = 264 y ^ { 2 }$ 
B)  $P = 23 y d , A = 264 y ^ { 2 }$ 
C)  $P = 2 y d , A = 132 y ^ { 2 }$ 
D)  $P = 46 y d , A = 132 y ^ { 2 }$

Question 14

Solve.
-Suppose you are designing a cardboard box that must have a volume of 18 cubic feet. The cost of the cardboard is $6 per square foot. How much will the material for each box cost?

Accepted Answer

A) $247.26 
B) $123.63 
C) $329.68 
D) $164.84 
A) $247.26 
B) $123.63 
C) $329.68 
D) $164.84

Question 15

Solve. Round your answer to the nearest tenth.
-Find the area of a circle with a radius of 8.5 yards.

Accepted Answer

A)  $53.4 \mathrm { yd } ^ { 2 }$ 
B)  $106.8 \mathrm { yd } ^ { 2 }$ 
C)  $226.9 \mathrm { yd } ^ { 2 }$ 
D)  $907.5 \mathrm { yd } ^ { 2 }$ 
A)  $53.4 \mathrm { yd } ^ { 2 }$ 
B)  $106.8 \mathrm { yd } ^ { 2 }$ 
C)  $226.9 \mathrm { yd } ^ { 2 }$ 
D)  $907.5 \mathrm { yd } ^ { 2 }$

Question 16

Solve. Round your answer to the nearest tenth.
-Find the circumference of a circle with a radius of 10.5 yards.

Accepted Answer

A) 65.9 yd 
B) 33.0 yd 
C) 346.2 yd 
D) 13.3 yd 
A) 65.9 yd 
B) 33.0 yd 
C) 346.2 yd 
D) 13.3 yd

Question 17

Find the dimension of the object and state whether or not it is a fractal.
-In measuring the length of the object, when you reduce the length of your ruler by a factor of 3 the number of length elements increases by a factor of 3.

Accepted Answer

A) The dimension is 3 and the object is ordinary (non-fractal). 
B) The dimension is 2 and the object is ordinary (non-fractal). 
C) The dimension is 3 and the object is a fractal. 
D) The dimension is 1 and the object is ordinary (non-fractal). 
A) The dimension is 3 and the object is ordinary (non-fractal). 
B) The dimension is 2 and the object is ordinary (non-fractal). 
C) The dimension is 3 and the object is a fractal. 
D) The dimension is 1 and the object is ordinary (non-fractal).

Question 18

Find the area in acres of the property under the given assumptions. Refer to the figure.  
-The stream frontage is 791 feet in length and the property line is 2120 feet in length.

Accepted Answer

A) 8.93 acre 
B) 35.72 acre 
C) 17.86 acre 
D) 26.79 acre 
A) 8.93 acre 
B) 35.72 acre 
C) 17.86 acre 
D) 26.79 acre

Question 19

Find the area in acres of the property under the given assumptions. Refer to the figure.  
-The stream frontage is174 feet in length and the property line is 462 feet in length.

Accepted Answer

A) 1.28 acre 
B) 0.85 acre 
C) 0.43 acre 
D) 1.71 acre 
A) 1.28 acre 
B) 0.85 acre 
C) 0.43 acre 
D) 1.71 acre

Question 20

Provide an appropriate response.
-Optimization problems seek what type of solution?

Accepted Answer

A) Average 
B) Largest 
C) Best possible 
D) Smallest 
A) Average 
B) Largest 
C) Best possible 
D) Smallest

Convert the given angle measure into degrees and decimal fractions of a degree. - $81 ^ { \circ } 29 ^ { \prime } 48 ^ { \prime \prime }$

Provide an appropriate response. -How much does a road with a 27% grade rise for each horizontal foot?

Solve the problem. -If you magically quadrupled in size, by what factor has your waist size increased?

Find the area of the triangle. -

Provide an appropriate response. -Determine which surface is steeper between a roof with a pitch of 1 in 5 or a roof with a slope of $\frac { 1 } { 2 }$ .

Find the degree measure of the angle created by the given part of a circle. - $\frac { 1 } { 60 } \text { circle }$

Use the formula relating angular size, physical size and distance. -What is the angular size of a quarter viewed from a distance of 73 yards?

Find the dimension of the object and state whether or not it is a fractal. -In measuring the area of the object, when you reduce the length of your ruler by a factor of 3, the number of length elements increases by a factor of 12.

Provide an appropriate response. -A geometric line is formed by the shortest path between any 2 points.

Find the perimeter and area of the figure. -A parallelogram with sides of length of 4.5 feet and 9 feet, and a distance between the 9-foot sides of 0.8 foot.

Find the area of the triangle. -

Convert the given degree measure into degrees, minutes, and seconds of arc. - $334.4753 ^ { \circ }$

Find the perimeter and area of the figure. -A rectangle with a length of 11 yards and a width of 12 yards

Solve. -Suppose you are designing a cardboard box that must have a volume of 18 cubic feet. The cost of the cardboard is $6 per square foot. How much will the material for each box cost?

Solve. Round your answer to the nearest tenth. -Find the area of a circle with a radius of 8.5 yards.

Solve. Round your answer to the nearest tenth. -Find the circumference of a circle with a radius of 10.5 yards.

Find the dimension of the object and state whether or not it is a fractal. -In measuring the length of the object, when you reduce the length of your ruler by a factor of 3 the number of length elements increases by a factor of 3.

Find the area in acres of the property under the given assumptions. Refer to the figure. -The stream frontage is 791 feet in length and the property line is 2120 feet in length.

Find the area in acres of the property under the given assumptions. Refer to the figure. -The stream frontage is174 feet in length and the property line is 462 feet in length.

Provide an appropriate response. -Optimization problems seek what type of solution?

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Mathematics and the Arts

Filters

Exam 10: Modeling With Geometry

Convert the given angle measure into degrees and decimal fractions of a degree. - 81∘29′48′′81 ^ { \circ } 29 ^ { \prime } 48 ^ { \prime \prime }81∘29′48′′

Provide an appropriate response. -How much does a road with a 27% grade rise for each horizontal foot?

Solve the problem. -If you magically quadrupled in size, by what factor has your waist size increased?

Find the area of the triangle. -

Provide an appropriate response. -Determine which surface is steeper between a roof with a pitch of 1 in 5 or a roof with a slope of 12\frac { 1 } { 2 }21​ .

Find the degree measure of the angle created by the given part of a circle. - 160 circle \frac { 1 } { 60 } \text { circle }601​ circle

Use the formula relating angular size, physical size and distance. -What is the angular size of a quarter viewed from a distance of 73 yards?

Find the dimension of the object and state whether or not it is a fractal. -In measuring the area of the object, when you reduce the length of your ruler by a factor of 3, the number of length elements increases by a factor of 12.

Provide an appropriate response. -A geometric line is formed by the shortest path between any 2 points.

Find the perimeter and area of the figure. -A parallelogram with sides of length of 4.5 feet and 9 feet, and a distance between the 9-foot sides of 0.8 foot.

Find the area of the triangle. -

Convert the given degree measure into degrees, minutes, and seconds of arc. - 334.4753∘334.4753 ^ { \circ }334.4753∘

Find the perimeter and area of the figure. -A rectangle with a length of 11 yards and a width of 12 yards

Solve. -Suppose you are designing a cardboard box that must have a volume of 18 cubic feet. The cost of the cardboard is $6 per square foot. How much will the material for each box cost?

Solve. Round your answer to the nearest tenth. -Find the area of a circle with a radius of 8.5 yards.

Solve. Round your answer to the nearest tenth. -Find the circumference of a circle with a radius of 10.5 yards.

Find the dimension of the object and state whether or not it is a fractal. -In measuring the length of the object, when you reduce the length of your ruler by a factor of 3 the number of length elements increases by a factor of 3.

Find the area in acres of the property under the given assumptions. Refer to the figure. -The stream frontage is 791 feet in length and the property line is 2120 feet in length.

Find the area in acres of the property under the given assumptions. Refer to the figure. -The stream frontage is174 feet in length and the property line is 462 feet in length.

Provide an appropriate response. -Optimization problems seek what type of solution?

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Mathematics and the Arts

Filters

Convert the given angle measure into degrees and decimal fractions of a degree. - $81 ^ { \circ } 29 ^ { \prime } 48 ^ { \prime \prime }$

Provide an appropriate response. -Determine which surface is steeper between a roof with a pitch of 1 in 5 or a roof with a slope of $\frac { 1 } { 2 }$ .

Find the degree measure of the angle created by the given part of a circle. - $\frac { 1 } { 60 } \text { circle }$

Convert the given degree measure into degrees, minutes, and seconds of arc. - $334.4753 ^ { \circ }$