Question 1

Provide an appropriate response.
-In mathematics, the word symmetry is used

Accepted Answer

A) to describe an operation that changes appearance. 
B) to describe an operation that leaves something unchanged. 
C) to draw an obtuse angle. 
D) when a solution to an equation is unknown. 
A) to describe an operation that changes appearance. 
B) to describe an operation that leaves something unchanged. 
C) to draw an obtuse angle. 
D) when a solution to an equation is unknown.

Question 2

Provide an appropriate response.
-When an object can be shifted, say to the left or right, and still remains the same, this is an example of symmetry.

Accepted Answer

A) rotation 
B) translation 
C) reflection 
D) relation 
A) rotation 
B) translation 
C) reflection 
D) relation

Question 3

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

Accepted Answer

A) 274 
B) 432 
C) 437 
D) 459 
A) 274 
B) 432 
C) 437 
D) 459

Question 4

Provide an appropriate response.
-Draw an object with reflection symmetry.

Accepted Answer

The answer of Provide an appropriate response.
-Draw an object with...

Question 5

Provide an appropriate response.
-Which of the following is an example of exponential growth?

Accepted Answer

A) the better the quality of sound 
B) the increase in frequencies in scale 
C) the change in height of a newborn baby 
D) the number of notes in a song 
A) the better the quality of sound 
B) the increase in frequencies in scale 
C) the change in height of a newborn baby 
D) the number of notes in a song

Question 6

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

Accepted Answer

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

Question 7

Provide an appropriate response.
-Given 1.6 inches is one side of a golden rectangle, find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation $\varphi = 1.62$

Accepted Answer

A) 2.59 in. or 1.01 in. 
B) 2.59 in. or 0.99 in. 
C) 4.19 in. or 1.64 in. 
D) 4.19 in. or 0.61 in. 
A) 2.59 in. or 1.01 in. 
B) 2.59 in. or 0.99 in. 
C) 4.19 in. or 1.64 in. 
D) 4.19 in. or 0.61 in.

Question 8

Write the word or phrase that best completes each statement or answers the question.
-Draw an object with translation symmetry.

Accepted Answer

The answer of Write the word or phrase that best...

Question 9

Provide an appropriate response.
-One of the most basic qualities of sound is

Accepted Answer

A) string. 
B) octave. 
C) pitch. 
D) analog. 
A) string. 
B) octave. 
C) pitch. 
D) analog.

Question 10

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

Accepted Answer

A) C 
B) S 
C) T 
D) R 
A) C 
B) S 
C) T 
D) R

Question 11

Provide an appropriate response.
-Starting with middle F, at a frequency of 347 cycles per second, find the frequency of the next octave of F in the circle of fifths.

Accepted Answer

A) 431 
B) 29,148 
C) 44,416 
D) 22,208 
A) 431 
B) 29,148 
C) 44,416 
D) 22,208

Question 12

Provide an appropriate response.
-What is one way to decide if two numbers follow a Fibonacci sequence?

Accepted Answer

A) if their ratio is approximately the same as the golden ratio 
B) if each number is a multiple of the next 
C) if each number is prime 
D) if their sum is the same as their difference 
A) if their ratio is approximately the same as the golden ratio 
B) if each number is a multiple of the next 
C) if each number is prime 
D) if their sum is the same as their difference

Question 13

Find the frequencies of the first 6 notes of the scale that starts at the given note.
-C# above middle C; this C# has a frequency of 275

Accepted Answer

\[\begin{array} { l | c c c c c c } 
\te

Question 14

Find the frequencies of the first 6 notes of the scale that starts at the given note.
-A# above middle C; this A# has a frequency of 463

Accepted Answer

The answer of Find the frequencies of the first 6...

Question 15

Identify all of the symmetries in the following figure.
-

Accepted Answer

A) It has translation symmetry (if imagined to extend in both directions). It also has reflection symmetry (across a horizontal line between the jagged lines). 
B) It has rotation symmetry; it can be rotated through 180° and its appearance remains the same. It also has translation symmetry (if imagined to extend in both directions). 
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 translation symmetry (if imagined to extend in both directions). It also has reflection symmetry (across a horizontal line between the jagged lines). 
B) It has rotation symmetry; it can be rotated through 180° and its appearance remains the same. It also has translation symmetry (if imagined to extend in both directions). 
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 16

Provide an appropriate response.
-Starting with a tone having a frequency of 122 cycles per second, find the frequency of the tone that is three octaves higher.

Accepted Answer

A) 488 cps 
B) 366 cps 
C) 976 cps 
D) 14,884 cps 
A) 488 cps 
B) 366 cps 
C) 976 cps 
D) 14,884 cps

Question 17

Identify all of the symmetries in the following figure.
-

Accepted Answer

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

Question 18

Provide an appropriate response.
-When making a tiling using only regular hexagons

Accepted Answer

A) the tiles fill all of the space, but there is some overlap of the tiles. 
B) the tiles do not fill all of the space, there is some overlap of the tiles. 
C) the tiles fill all of the space, with no overlaps and no gaps. 
D) the tiles do not fill all of the space, there are gaps between the hexagons. 
A) the tiles fill all of the space, but there is some overlap of the tiles. 
B) the tiles do not fill all of the space, there is some overlap of the tiles. 
C) the tiles fill all of the space, with no overlaps and no gaps. 
D) the tiles do not fill all of the space, there are gaps between the hexagons.

Question 19

Provide an appropriate response.
-What types of instruments create music digitally?

Accepted Answer

A) synthesizers 
B) trombones 
C) guitars 
D) pianos 
A) synthesizers 
B) trombones 
C) guitars 
D) pianos

Question 20

Provide an appropriate response.
-Given 2.2 inches is one side of a golden rectangle, find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation $\varphi = 1.62 .$

Accepted Answer

A) 3.56 in. or 0.74 in. 
B) 5.76 in. or 1.19 in. 
C) 5.76 in. or 0.84 in. 
D) 3.56 in. or 1.36 in. 
A) 3.56 in. or 0.74 in. 
B) 5.76 in. or 1.19 in. 
C) 5.76 in. or 0.84 in. 
D) 3.56 in. or 1.36 in.

Provide an appropriate response. -In mathematics, the word symmetry is used

Provide an appropriate response. -When an object can be shifted, say to the left or right, and still remains the same, this is an example of symmetry.

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

Provide an appropriate response. -Draw an object with reflection symmetry.

Provide an appropriate response. -Which of the following is an example of exponential growth?

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

Provide an appropriate response. -Given 1.6 inches is one side of a golden rectangle, find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation $\varphi = 1.62$

Write the word or phrase that best completes each statement or answers the question. -Draw an object with translation symmetry.

Provide an appropriate response. -One of the most basic qualities of sound is

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

Provide an appropriate response. -Starting with middle F, at a frequency of 347 cycles per second, find the frequency of the next octave of F in the circle of fifths.

Provide an appropriate response. -What is one way to decide if two numbers follow a Fibonacci sequence?

Find the frequencies of the first 6 notes of the scale that starts at the given note. -C# above middle C; this C# has a frequency of 275

Find the frequencies of the first 6 notes of the scale that starts at the given note. -A# above middle C; this A# has a frequency of 463

Identify all of the symmetries in the following figure. -

Provide an appropriate response. -Starting with a tone having a frequency of 122 cycles per second, find the frequency of the tone that is three octaves higher.

Identify all of the symmetries in the following figure. -

Provide an appropriate response. -When making a tiling using only regular hexagons

Provide an appropriate response. -What types of instruments create music digitally?

Provide an appropriate response. -Given 2.2 inches is one side of a golden rectangle, find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation $\varphi = 1.62 .$

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. -In mathematics, the word symmetry is used

Provide an appropriate response. -When an object can be shifted, say to the left or right, and still remains the same, this is an example of symmetry.

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

Provide an appropriate response. -Draw an object with reflection symmetry.

Provide an appropriate response. -Which of the following is an example of exponential growth?

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

Provide an appropriate response. -Given 1.6 inches is one side of a golden rectangle, find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation φ=1.62\varphi = 1.62φ=1.62

Write the word or phrase that best completes each statement or answers the question. -Draw an object with translation symmetry.

Provide an appropriate response. -One of the most basic qualities of sound is

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

Provide an appropriate response. -Starting with middle F, at a frequency of 347 cycles per second, find the frequency of the next octave of F in the circle of fifths.

Provide an appropriate response. -What is one way to decide if two numbers follow a Fibonacci sequence?

Find the frequencies of the first 6 notes of the scale that starts at the given note. -C# above middle C; this C# has a frequency of 275

Find the frequencies of the first 6 notes of the scale that starts at the given note. -A# above middle C; this A# has a frequency of 463

Identify all of the symmetries in the following figure. -

Provide an appropriate response. -Starting with a tone having a frequency of 122 cycles per second, find the frequency of the tone that is three octaves higher.

Identify all of the symmetries in the following figure. -

Provide an appropriate response. -When making a tiling using only regular hexagons

Provide an appropriate response. -What types of instruments create music digitally?

Provide an appropriate response. -Given 2.2 inches is one side of a golden rectangle, find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation φ=1.62.\varphi = 1.62 .φ=1.62.

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

Provide an appropriate response. -Given 1.6 inches is one side of a golden rectangle, find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation $\varphi = 1.62$

Provide an appropriate response. -Given 2.2 inches is one side of a golden rectangle, find the length of the other side. Notice that the other side could be either longer or shorter than the given side. Use the approximation $\varphi = 1.62 .$