Question 1

A pole casts a 5-foot shadow, and at the same time a 6-foot tall man casts a 2-foot shadow. How tall is the pole?

Accepted Answer

A) 20 feet 
B) 18 feet 
C) 15 feet 
D) 12 feet 
A) 20 feet 
B) 18 feet 
C) 15 feet 
D) 12 feet C

Question 2

A soup can has a diameter of 2.75 inches and a height of 4.25 inches. Find the volume of the soup can.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    A

Question 3

A _______________ tiling is a tiling of the plane that consists of repeated copies of a single regular polygon, meeting edge to edge.

Accepted Answer

A) similar 
B) proportional 
C) golden 
D) regular 
A) similar 
B) proportional 
C) golden 
D) regular D

Question 4

A planar figure has _______________ symmetry about a line L if the figure is identical to its reflection through L.

Accepted Answer

A) reflectional 
B) rotational 
C) tiling 
D) proportional 
A) reflectional 
B) rotational 
C) tiling 
D) proportional

Question 5

Find the length of the hypotenuse of a right triangle whose legs have lengths 4 and 9.

Accepted Answer

A) 9.8 
B) 10.7 
C) 11.2 
D) 13.5 
A) 9.8 
B) 10.7 
C) 11.2 
D) 13.5

Question 6

Two triangles are _______________ if all corresponding angles have the same measure.

Accepted Answer

A) equal 
B) similar 
C) equivalent 
D) scalene 
A) equal 
B) similar 
C) equivalent 
D) scalene

Question 7

If each step of a staircase rises 9 inches, then the height of the staircase above the base is proportional to the number of steps. What is the constant of proportionality?

Accepted Answer

A) 9 
B) 6 
C) 4.5 
D) 3 
A) 9 
B) 6 
C) 4.5 
D) 3

Question 8

A right triangle has legs of length 3 and 4. If the hypotenuse is the diameter of a circle, what is the area of the circle?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Which of the following regular figures have a 45-degree rotational symmetry?

Accepted Answer

A) pentagon 
B) hexagon 
C) octagon 
D) dodecagon 
A) pentagon 
B) hexagon 
C) octagon 
D) dodecagon

Question 10

The surface area of a sphere with radius r is given by . The amount of paint needed to color a billiard ball of radius r is proportional to:

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

What is the golden ratio $\phi$?

Accepted Answer

A)      
B)    
C)    
D)    
A)      
B)    
C)    
D)

Question 12

The length of the hypotenuse of a right triangle is 10 and a leg has length 3. Find the length of the other leg.

Accepted Answer

A) 8.7 
B) 7.9 
C) 9.5 
D) 8.2 
A) 8.7 
B) 7.9 
C) 9.5 
D) 8.2

Question 13

If denotes a clockwise rotation of the plane through an angle of degrees, we use to mean that we make a clockwise rotation of the plane through an angle of degrees n times. Find between 0 and 360 degrees so that .

Accepted Answer

A) 270 degrees 
B) 180 degrees 
C) 220 degrees 
D) 150 degrees 
A) 270 degrees 
B) 180 degrees 
C) 220 degrees 
D) 150 degrees

Question 14

The triangles below are similar. Find the length of side x.

Accepted Answer

A) 6.2 
B) 7.1 
C) 5.8 
D) 6.7 
A) 6.2 
B) 7.1 
C) 5.8 
D) 6.7

Question 15

The shorter side of a golden rectangle is 6 inches. How long is the longer side?

Accepted Answer

A) 7.6 inches 
B) 9.7 inches 
C) 9.2 inches 
D) 8.8 inches 
A) 7.6 inches 
B) 9.7 inches 
C) 9.2 inches 
D) 8.8 inches

Question 16

How many reflectional symmetries does a square have?

Accepted Answer

A) 4 
B) 3 
C) 2 
D) 1 
A) 4 
B) 3 
C) 2 
D) 1

Question 17

The area of a pizza is proportional to the ___________ of the radius.

Accepted Answer

A) reciprocal 
B) square root 
C) square 
D) cube 
A) reciprocal 
B) square root 
C) square 
D) cube

Question 18

If two of the three pairs of corresponding angles of a triangle have the same measure, then the triangles are:

Accepted Answer

A) similar. 
B) congruent. 
C) equivalent. 
D) identical. 
A) similar. 
B) congruent. 
C) equivalent. 
D) identical.

Question 19

The perimeter of a square is proportional to the square root of the area. What is the constant of proportionality?

Accepted Answer

A) 2 
B) 4 
C) 8 
D) 16 
A) 2 
B) 4 
C) 8 
D) 16

Question 20

Find the area of a right triangle whose legs have lengths 3 and 4.

Accepted Answer

A) 18 
B) 14 
C) 12 
D) 6 
A) 18 
B) 14 
C) 12 
D) 6

A pole casts a 5-foot shadow, and at the same time a 6-foot tall man casts a 2-foot shadow. How tall is the pole?

A soup can has a diameter of 2.75 inches and a height of 4.25 inches. Find the volume of the soup can.

A _______________ tiling is a tiling of the plane that consists of repeated copies of a single regular polygon, meeting edge to edge.

A planar figure has _______________ symmetry about a line L if the figure is identical to its reflection through L.

Find the length of the hypotenuse of a right triangle whose legs have lengths 4 and 9.

Two triangles are _______________ if all corresponding angles have the same measure.

If each step of a staircase rises 9 inches, then the height of the staircase above the base is proportional to the number of steps. What is the constant of proportionality?

A right triangle has legs of length 3 and 4. If the hypotenuse is the diameter of a circle, what is the area of the circle?

Which of the following regular figures have a 45-degree rotational symmetry?

The surface area of a sphere with radius r is given by . The amount of paint needed to color a billiard ball of radius r is proportional to:

What is the golden ratio $\phi$ ?

The length of the hypotenuse of a right triangle is 10 and a leg has length 3. Find the length of the other leg.

If denotes a clockwise rotation of the plane through an angle of degrees, we use to mean that we make a clockwise rotation of the plane through an angle of degrees n times. Find between 0 and 360 degrees so that .

The triangles below are similar. Find the length of side x.

The shorter side of a golden rectangle is 6 inches. How long is the longer side?

How many reflectional symmetries does a square have?

The area of a pizza is proportional to the ___________ of the radius.

If two of the three pairs of corresponding angles of a triangle have the same measure, then the triangles are:

The perimeter of a square is proportional to the square root of the area. What is the constant of proportionality?

Find the area of a right triangle whose legs have lengths 3 and 4.

Critical Thinking

Analysis of Growth

Linear and Exponential Change: Comparing Growth Rates

Personal Finance

Introduction to Probability

Statistics

Graph Theory

Voting and Social Choice

Filters

Exam 9: Geometry

A pole casts a 5-foot shadow, and at the same time a 6-foot tall man casts a 2-foot shadow. How tall is the pole?

A soup can has a diameter of 2.75 inches and a height of 4.25 inches. Find the volume of the soup can.

A _______________ tiling is a tiling of the plane that consists of repeated copies of a single regular polygon, meeting edge to edge.

A planar figure has _______________ symmetry about a line L if the figure is identical to its reflection through L.

Find the length of the hypotenuse of a right triangle whose legs have lengths 4 and 9.

Two triangles are _______________ if all corresponding angles have the same measure.

If each step of a staircase rises 9 inches, then the height of the staircase above the base is proportional to the number of steps. What is the constant of proportionality?

A right triangle has legs of length 3 and 4. If the hypotenuse is the diameter of a circle, what is the area of the circle?

Which of the following regular figures have a 45-degree rotational symmetry?

The surface area of a sphere with radius r is given by . The amount of paint needed to color a billiard ball of radius r is proportional to:

What is the golden ratio ϕ\phiϕ ?

The length of the hypotenuse of a right triangle is 10 and a leg has length 3. Find the length of the other leg.

If denotes a clockwise rotation of the plane through an angle of degrees, we use to mean that we make a clockwise rotation of the plane through an angle of degrees n times. Find between 0 and 360 degrees so that .

The triangles below are similar. Find the length of side x.

The shorter side of a golden rectangle is 6 inches. How long is the longer side?

How many reflectional symmetries does a square have?

The area of a pizza is proportional to the ___________ of the radius.

If two of the three pairs of corresponding angles of a triangle have the same measure, then the triangles are:

The perimeter of a square is proportional to the square root of the area. What is the constant of proportionality?

Find the area of a right triangle whose legs have lengths 3 and 4.

Critical Thinking

Analysis of Growth

Linear and Exponential Change: Comparing Growth Rates

Personal Finance

Introduction to Probability

Statistics

Graph Theory

Voting and Social Choice

Filters

What is the golden ratio $\phi$ ?