Question 1

Provide an appropriate response.
-What question led Greek scholars to formulating the golden ratio?

Accepted Answer

A) How are pitch and vibration related? 
B) How to find π? 
C) What is the square root of 2? 
D) What is the best way to divide a line? 
A) How are pitch and vibration related? 
B) How to find π? 
C) What is the square root of 2? 
D) What is the best way to divide a line?

Question 2

Provide an appropriate response.
-What fraction is approximately equal to the golden ratio?

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 8 } { 5 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 8 } { 5 }$

Question 3

Provide an appropriate response.
-The golden ratio is a(n)

Accepted Answer

A) whole number. 
B) natural number 
C) rational number. 
D) irrational number. 
A) whole number. 
B) natural number 
C) rational number. 
D) irrational number.

Question 4

Provide an appropriate response.
-In how many ways does the golden ratio occur in a pentagram?

Accepted Answer

A) at least ten 
B) none 
C) five 
D) eight 
A) at least ten 
B) none 
C) five 
D) eight

Question 5

Provide an appropriate response.
-The vanishing point of a picture with perspective is

Accepted Answer

A) the point where you cannot see anything on the picture. 
B) the point where parallel lines meet. 
C) the point where two perpendicular lines intersect. 
D) the point where two curves intersect. 
A) the point where you cannot see anything on the picture. 
B) the point where parallel lines meet. 
C) the point where two perpendicular lines intersect. 
D) the point where two curves intersect.

Question 6

Provide an appropriate response.
-Which music principle did the Greeks discover?

Accepted Answer

A) the shorter the string, the higher the pitch 
B) the longer the string, the higher the pitch 
C) the longer the string, the shorter the pitch 
D) the shorter the string, the lower the pitch 
A) the shorter the string, the higher the pitch 
B) the longer the string, the higher the pitch 
C) the longer the string, the shorter the pitch 
D) the shorter the string, the lower the pitch

Question 7

Form a tiling from the given figure using translations and reflections.
-

Accepted Answer

The answer of Form a tiling from the given figure...

Question 8

Provide an appropriate response.
-The number of different tilings with irregular polygons is

Accepted Answer

A) limited; you can only make 3 different tilings using irregular polygons. 
B) unlimited; you can make many different tilings using irregular polygons. 
C) zero; you cannot make a tiling using irregular polygons. 
D) limited; you can only make 1 different tiling using irregular polygons. 
A) limited; you can only make 3 different tilings using irregular polygons. 
B) unlimited; you can make many different tilings using irregular polygons. 
C) zero; you cannot make a tiling using irregular polygons. 
D) limited; you can only make 1 different tiling using irregular polygons.

Question 9

Provide an appropriate response.
-Which of the following is a method for storing digital music?

Accepted Answer

A) sheet music 
B) floppy disk 
C) compact disk 
D) vinyl records 
A) sheet music 
B) floppy disk 
C) compact disk 
D) vinyl records

Question 10

Provide an appropriate response.
-What are the most pleasing combinations of notes?

Accepted Answer

A) first harmonics 
B) consonant tones 
C) fourths 
D) fifths 
A) first harmonics 
B) consonant tones 
C) fourths 
D) fifths

Question 11

Identify all of the symmetries in the following figure.
-

Accepted Answer

A) It has reflection symmetries; it can be reflected across a vertical line through its center, a horizontal line through its center, or either of its diagonals, and its appearance remains the
Same. It also has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its
Appearance remains the same. 
B) It has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its appearance remains the same. 
C) It has reflection symmetries; it can be reflected across a vertical line through its center, a horizontal line through its center, or either of its diagonals, and its appearance remains the
Same. 
D) None of these. 
A) It has reflection symmetries; it can be reflected across a vertical line through its center, a horizontal line through its center, or either of its diagonals, and its appearance remains the
Same. It also has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its
Appearance remains the same. 
B) It has rotation symmetries; it can be rotated through 90°, 180°, or 270°, and its appearance remains the same. 
C) It has reflection symmetries; it can be reflected across a vertical line through its center, a horizontal line through its center, or either of its diagonals, and its appearance remains the
Same. 
D) None of these.

Question 12

Provide an appropriate response.
-Starting at middle D with a frequency of 292 cps, find the frequency of the note a an octave and a fourth above middle D.

Accepted Answer

A) 801 
B) 779 
C) 761 
D) 774 
A) 801 
B) 779 
C) 761 
D) 774

Question 13

Provide an appropriate response.
-On a painting using perspective there is a row of 6-story buildings extending from the foreground, all the way to the vanishing point. The buildings in the background

Accepted Answer

A) appear to be the same size as the ones in the foreground. 
B) appear smaller than the ones in the foreground. 
C) appear larger than the ones in the foreground. 
D) None of these. 
A) appear to be the same size as the ones in the foreground. 
B) appear smaller than the ones in the foreground. 
C) appear larger than the ones in the foreground. 
D) None of these.

Question 14

Form a tiling from the given figure using translations and reflections.
-

Accepted Answer

The answer of Form a tiling from the given figure...

Question 15

Provide an appropriate response.
-The golden ratio was used in

Accepted Answer

A) the discovery of gold. 
B) the value of $\pi$ 
C) Greek architecture. 
D) the building of the atomic bomb. 
A) the discovery of gold. 
B) the value of $\pi$ 
C) Greek architecture. 
D) the building of the atomic bomb.

Question 16

Provide an appropriate response.
-What is the first principle of perspective?

Accepted Answer

A) All parallel lines never intersect, they remain the same distance apart. 
B) All shapes and sizes must remain equal, regardless of their distance from the viewer. 
C) All lines that are parallel in the real scene and perpendicular to the canvas must intersect at the principal vanishing point of the painting. 
D) None of these. 
A) All parallel lines never intersect, they remain the same distance apart. 
B) All shapes and sizes must remain equal, regardless of their distance from the viewer. 
C) All lines that are parallel in the real scene and perpendicular to the canvas must intersect at the principal vanishing point of the painting. 
D) None of these.

Question 17

Provide an appropriate response.
-Which letter is an example of reflective symmetry?

Accepted Answer

A) G 
B) R 
C) K 
D) Q 
A) G 
B) R 
C) K 
D) Q

Question 18

Provide an appropriate response.
-Which symbol do we use to denote the golden ratio?

Accepted Answer

A)  $\pi$ 
B)  $Q$ 
C)  $\mathrm { T }$ 
D)  $\varphi$ 
A)  $\pi$ 
B)  $Q$ 
C)  $\mathrm { T }$ 
D)  $\varphi$

Question 19

Provide an appropriate response.
-The golden ratio is an example of the use of

Accepted Answer

A) perspective. 
B) proportion. 
C) symmetry. 
D) multiplication. 
A) perspective. 
B) proportion. 
C) symmetry. 
D) multiplication.

Question 20

Provide an appropriate response.
-Which regular polygon can be used to make a tiling with a single polygon?

Accepted Answer

A) octagon 
B) dodecahedron 
C) heptagon 
D) hexagon 
A) octagon 
B) dodecahedron 
C) heptagon 
D) hexagon

Provide an appropriate response. -What question led Greek scholars to formulating the golden ratio?

Provide an appropriate response. -What fraction is approximately equal to the golden ratio?

Provide an appropriate response. -The golden ratio is a(n)

Provide an appropriate response. -In how many ways does the golden ratio occur in a pentagram?

Provide an appropriate response. -The vanishing point of a picture with perspective is

Provide an appropriate response. -Which music principle did the Greeks discover?

Form a tiling from the given figure using translations and reflections. -

Provide an appropriate response. -The number of different tilings with irregular polygons is

Provide an appropriate response. -Which of the following is a method for storing digital music?

Provide an appropriate response. -What are the most pleasing combinations of notes?

Identify all of the symmetries in the following figure. -

Provide an appropriate response. -Starting at middle D with a frequency of 292 cps, find the frequency of the note a an octave and a fourth above middle D.

Provide an appropriate response. -On a painting using perspective there is a row of 6-story buildings extending from the foreground, all the way to the vanishing point. The buildings in the background

Form a tiling from the given figure using translations and reflections. -

Provide an appropriate response. -The golden ratio was used in

Provide an appropriate response. -What is the first principle of perspective?

Provide an appropriate response. -Which letter is an example of reflective symmetry?

Provide an appropriate response. -Which symbol do we use to denote the golden ratio?

Provide an appropriate response. -The golden ratio is an example of the use of

Provide an appropriate response. -Which regular polygon can be used to make a tiling with a single polygon?

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

Modeling With Geometry

Filters

Exam 11: Mathematics and the Arts

Provide an appropriate response. -What question led Greek scholars to formulating the golden ratio?

Provide an appropriate response. -What fraction is approximately equal to the golden ratio?

Provide an appropriate response. -The golden ratio is a(n)

Provide an appropriate response. -In how many ways does the golden ratio occur in a pentagram?

Provide an appropriate response. -The vanishing point of a picture with perspective is

Provide an appropriate response. -Which music principle did the Greeks discover?

Form a tiling from the given figure using translations and reflections. -

Provide an appropriate response. -The number of different tilings with irregular polygons is

Provide an appropriate response. -Which of the following is a method for storing digital music?

Provide an appropriate response. -What are the most pleasing combinations of notes?

Identify all of the symmetries in the following figure. -

Provide an appropriate response. -Starting at middle D with a frequency of 292 cps, find the frequency of the note a an octave and a fourth above middle D.

Provide an appropriate response. -On a painting using perspective there is a row of 6-story buildings extending from the foreground, all the way to the vanishing point. The buildings in the background

Form a tiling from the given figure using translations and reflections. -

Provide an appropriate response. -The golden ratio was used in

Provide an appropriate response. -What is the first principle of perspective?

Provide an appropriate response. -Which letter is an example of reflective symmetry?

Provide an appropriate response. -Which symbol do we use to denote the golden ratio?

Provide an appropriate response. -The golden ratio is an example of the use of

Provide an appropriate response. -Which regular polygon can be used to make a tiling with a single polygon?

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

Modeling With Geometry

Filters