Question 1

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move B^-1. A) F² B) B² C) B⁴ D) (B^-1)² E) B

Accepted Answer

E

Question 2

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BF^-1.

Accepted Answer

FB<sup>-1</sup>

Question 3

Name the move on Rubik's Cube that will return the cube to standard position after making the move R. A) B^-1 B) R² C) R^-1 D) BR E) R³

Accepted Answer

The move R^-1 is a combination of the moves R, U, and S, with some primes and double moves included. This move is known as the "T-permutation" and is one of the classic algorithms used to solve the Rubik's Cube. It is designed to return the cube to standard position after making the move R.

Question 4

Instant Insanity has 331,776 possibilities (not all different). Suppose a computer could print out 1000 arrangements every four seconds. How long would it take for this computer to print out all possibilities? ​
A) 13 minutes, 28 seconds
B) 9 minutes, 13 seconds
C) 11 minutes, 9 seconds
D) 22 minutes, 7 seconds
E) 2 hours, 22 minutes, 7 seconds

Accepted Answer

The total number of arrangements that the computer needs to print out is 331,776.

If the computer can print out 1000 arrangements every 4 seconds, it can print out 15,000 arrangements every minute (since 1000 x 15 = 15,000).

To calculate how many minutes the computer will need, we can divide the total number of arrangements by the number of arrangements that the computer can print out in a minute:

331,776/15,000 = 22.1184 (rounded to four decimal places)

Therefore, it will take approximately 22 minutes and 7 seconds for the computer to print out all possibilities.

Therefore, the answer is D.

Question 5

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move on Rubik's Cube that will return the cube to standard position after making the move ​L.

Accepted Answer

The answer of Let R, F, L, B, T, U...

Question 6

R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the Rubik Cube to standard position after making the move T².

Accepted Answer

The answer of R, F, L, B, T, U mean...

Question 7

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BU.

Accepted Answer

The answer of Let R, F, L, B, T, U...

Question 8

Instant Insanity has 331,776 possibilities (not all different). If you could make one different move per four seconds, how long do you think it would take you to go through all these arrangements?
​
It would take __________ days, __________ hours, __________ minutes, __________ seconds.

Accepted Answer

The answer of Instant Insanity has 331,776 possibilities (not all...

Question 9

Name the move or moves that will return the Rubik Cube to standard position after making the move L². A) BL B) LB C) L² D) L^-2 E) L⁴

Accepted Answer

The answer of Name the move or moves that will...

Question 10

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move L³.

Accepted Answer

The answer of Let R, F, L, B, T, U...

Question 11

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move T^-1F^-1. A) FT B) TF² C) TF D) F(T^-1)³ E) T²F²

Accepted Answer

The answer of Let R, F, L, B, T, U...

Question 12

Instant Insanity has 331,776 possibilities (not all different). If you could make one different move per two seconds, how long do you think it would take you to go through all these arrangements? ​
A) 7 days, 16 hours, 19 minutes, 12 seconds
B) 16 days, 10 hours, 10 minutes, 26 seconds
C) 3 days, 6 hours, 10 minutes, 26 seconds
D) 6 days, 10 hours, 10 minutes, 26 seconds
E) 3 days, 6 hours, 18 minutes, 20 seconds

Accepted Answer

To find the time it would take to go through all 331,776 possibilities at a rate of one move per two seconds, you divide the total possibilities by the moves per second (331,776 / (1/2)) to get the total seconds required, which is 663,552 seconds. Converting this into days, hours, minutes, and seconds gives you 7 days, 16 hours, 19 minutes, and 12 seconds.

Question 13

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move RF. A) F^-1R^-1 B) R^-1F^-1 C) FR³ D) R²F² E) FR²

Accepted Answer

RF moves the front-right corner to the top-right position. To return it to the standard position, we need to move it back to the front-right position. F^-1R^-1 does this.

Question 14

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move U^-1.

Accepted Answer

The answer of Let R, F, L, B, T, U...

Question 15

Show the result of the moves on Rubik's cube FT ^-1. Remember that R, F, L, B, T, and U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Use the standard Rubik's cube shown below as your starting point. Consider each clockwise rotation by first turning the cube so that the side you are rotating is facing you. A) B) C) D) E)

Accepted Answer

The answer of Show the result of the moves on...

Question 16

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move R^-1U^-1.

Accepted Answer

The answer of Let R, F, L, B, T, U...

Question 17

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BU^-1. A) UB B) U^-1B C) BU² D) B²U² E) UB^-1

Accepted Answer

The answer of Let R, F, L, B, T, U...

Question 18

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move R³. A) TR³ B) RT² C) R⁴ D) (R^-1)³ E) R

Accepted Answer

The answer of Let R, F, L, B, T, U...

Question 19

Show the result of the moves on Rubik's cube U³. Remember that R, F, L, B, T, and U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Use the standard Rubik's cube shown below as your starting point. Consider each clockwise rotation by first turning the cube so that the side you are rotating is facing you. A) B) C) D) E)

Accepted Answer

The answer of Show the result of the moves on...

Question 20

Instant Insanity has 331,776 possibilities (not all different). Suppose a computer could print out 1000 arrangements every four seconds. How long would it take for this computer to print out all possibilities?
​
It would take __________ days, __________ hours, __________ minutes, __________ seconds.

Accepted Answer

The answer of Instant Insanity has 331,776 possibilities (not all...

Quiz 12: The Nature of Counting

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move B^-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BF^-1.

Name the move on Rubik's Cube that will return the cube to standard position after making the move R.

Instant Insanity has 331,776 possibilities (not all different) . Suppose a computer could print out 1000 arrangements every four seconds. How long would it take for this computer to print out all possibilities?

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move on Rubik's Cube that will return the cube to standard position after making the move L.

R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the Rubik Cube to standard position after making the move T².

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BU.

Instant Insanity has 331,776 possibilities (not all different). If you could make one different move per four seconds, how long do you think it would take you to go through all these arrangements? It would take days, hours, minutes, seconds.

Name the move or moves that will return the Rubik Cube to standard position after making the move L².

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move L³.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move T^-1F^-1.

Instant Insanity has 331,776 possibilities (not all different) . If you could make one different move per two seconds, how long do you think it would take you to go through all these arrangements?

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move RF.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move U^-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move R^-1U^-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BU^-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move R³.

Instant Insanity has 331,776 possibilities (not all different). Suppose a computer could print out 1000 arrangements every four seconds. How long would it take for this computer to print out all possibilities? It would take days, hours, minutes, seconds.

Quiz 12: The Nature of Counting

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move B-1. ​

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BF-1.

Name the move on Rubik's Cube that will return the cube to standard position after making the move R. ​

Instant Insanity has 331,776 possibilities (not all different) . Suppose a computer could print out 1000 arrangements every four seconds. How long would it take for this computer to print out all possibilities? ​

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move on Rubik's Cube that will return the cube to standard position after making the move ​L.

R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the Rubik Cube to standard position after making the move T2.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BU.

Instant Insanity has 331,776 possibilities (not all different). If you could make one different move per four seconds, how long do you think it would take you to go through all these arrangements? ​ It would take __________ days, __________ hours, __________ minutes, __________ seconds.

Name the move or moves that will return the Rubik Cube to standard position after making the move L2. ​

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move L3.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move T-1F-1. ​

Instant Insanity has 331,776 possibilities (not all different) . If you could make one different move per two seconds, how long do you think it would take you to go through all these arrangements? ​

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move RF. ​

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move U-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move R-1U-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BU-1. ​

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move R3. ​

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move B^-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BF^-1.

Name the move on Rubik's Cube that will return the cube to standard position after making the move R.

Instant Insanity has 331,776 possibilities (not all different) . Suppose a computer could print out 1000 arrangements every four seconds. How long would it take for this computer to print out all possibilities?

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move on Rubik's Cube that will return the cube to standard position after making the move L.

R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the Rubik Cube to standard position after making the move T².

Instant Insanity has 331,776 possibilities (not all different). If you could make one different move per four seconds, how long do you think it would take you to go through all these arrangements? It would take days, hours, minutes, seconds.

Name the move or moves that will return the Rubik Cube to standard position after making the move L².

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move L³.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move T^-1F^-1.

Instant Insanity has 331,776 possibilities (not all different) . If you could make one different move per two seconds, how long do you think it would take you to go through all these arrangements?

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move RF.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move U^-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move R^-1U^-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move that will return the cube to standard position after making the move BU^-1.

Let R, F, L, B, T, U mean rotate 90° clockwise the right, front, left, back, top, and under faces, respectively. Name the move or moves that will return the cube to standard position after making the move R³.