Worksheet Solutions: 2X2 Rubik`s cube | Solve Like a Pro: Rubik Cube Tutorials - Class 6 PDF Download

Fill in the Blanks

Q1: In Step 1 of solving the 2x2 Rubik's Cube, we use a crucial 4-move sequence to solve the first piece of the __________ layer.
Ans: White
Step 1 focuses on solving the first piece of the white layer using a 4-move sequence.

Q2: The 2x2 Rubik's Cube solving method focuses on using a crucial 4-move sequence during __________ 1 and __________ 3.
Ans: Step, Step
The 4-move sequence is used in both Step 1 and Step 3 of the 2x2 Rubik's Cube solving method.

Q3: In Step 2, we aim to correctly position the __________ pieces on the cube.
Ans: Yellow
Step 2 involves correctly positioning the yellow pieces on the cube.

Q4: To ensure that yellow pieces are correctly positioned, we use a specific algorithm involving __________ and __________ moves.
Ans: Right, Left
The algorithm for positioning yellow pieces involves right and left moves.

Q5: In Step 3, we flip the cube over so that all the unsolved pieces are in the __________ layer.
Ans: Bottom
In Step 3, we flip the cube to have unsolved pieces in the bottom layer.

Multiple Choice Questions

Q1: What is the main objective of Step 1 in solving the 2x2 Rubik's Cube?
(a) Solve the entire cube
(b) Solve the white layer
(c) Solve the yellow layer
(d) Solve the blue layer
Ans: (b) Solve the white layer
Step 1 focuses on solving the white layer of the 2x2 Rubik's Cube.

Q2: How many colors on a piece should match the nearest colors on the bottom layer to consider it correctly positioned in Step 2?
(a) At least one
(b) At least two
(c) At least three
(d) All four
Ans: (b) At least two
In Step 2, a piece is considered correctly positioned if at least two colors match the nearest colors on the bottom layer.

Q3: What should you do if two yellow pieces are correctly positioned diagonally across from each other in Step 2?
(a) Hold any piece at the front/right
(b) Rotate the top layer to have only one piece in the correct position
(c) Rotate the bottom layer
(d) Flip the cube over
Ans: (a) Hold any piece at the front/right
If two yellow pieces are correctly positioned diagonally, you can hold any piece at the front/right in Step 2.

Q4: What is the goal of Step 3 in solving the 2x2 Rubik's Cube?
(a) Solve the white layer
(b) Correctly position yellow pieces
(c) Solve the entire cube
(d) Rotate the cube
Ans: (c) Solve the entire cube
The goal of Step 3 is to solve the entire 2x2 Rubik's Cube.

Q5: What should you do if you have one piece correctly positioned in Step 2 of solving the 2x2 Rubik's Cube?
(a) Rotate the top layer until two pieces are correctly positioned
(b) Memorize an algorithm for correct positioning
(c) Proceed to Step 3
(d) Adjust the top layer to have no pieces in correct positions
Ans: (c) Proceed to Step 3
If one piece is correctly positioned in Step 2, you can proceed to Step 3 to solve the cube.

True and False

Q1: True or False: In Step 1, we use a 4-move sequence to solve the entire white layer.
Ans: False
False. In Step 1, we use a 4-move sequence to solve one piece of the white layer, not the entire layer.

Q2: True or False: In Step 2, if no pieces are correctly positioned, you should rotate the bottom layer until you have all pieces in the correct position.
Ans: False
False. In Step 2, if no pieces are correctly positioned, you should rotate the top layer until you have at least one piece in the correct position.

Q3: True or False: Step 1 of solving the 2x2 Rubik's Cube involves using a 5-move sequence.
Ans: False
False. Step 1 uses a 4-move sequence.

Q4: True or False: In Step 2, if two pieces are correctly positioned diagonally across from each other, you can hold any piece at the front/right.
Ans: True
True. When two pieces are correctly positioned diagonally, you can choose any of them as the front/right piece.

Q5: True or False: In Step 3, you should rotate the entire cube to solve the front/right piece quickly.
Ans: False
False. In Step 3, you should rotate only the bottom layer, not the entire cube.

Short Answer Questions

Q1: Explain the main objective of Step 1 in solving the 2x2 Rubik's Cube.
Ans: The main objective of Step 1 is to solve the first piece of the white layer of the 2x2 Rubik's Cube using a specific 4-move sequence. This step sets the foundation for solving the entire cube by completing the white layer.

Q2: Describe the process of correctly positioning yellow pieces in Step 2.
Ans: In Step 2, the goal is to ensure that the yellow pieces are correctly positioned. A piece is considered correctly positioned if at least two colors on the piece match the nearest colors on the bottom layer. If no pieces are correctly positioned, you should rotate the top layer until you have at least one piece in the correct position. If two pieces are correctly positioned next to each other, adjust the top layer to have only one piece in the correct position. If two pieces are correctly positioned diagonally, you can hold any piece at the front/right. You can use a specific algorithm to reposition the yellow pieces as needed.

Q3: What is the purpose of Step 3 in solving the 2x2 Rubik's Cube?
Ans: The purpose of Step 3 is to solve the entire 2x2 Rubik's Cube. In this step, you flip the cube over so that all the unsolved pieces are in the bottom layer. Then, you continuously perform a 4-move sequence to solve the front/right piece and work your way around the cube until the entire cube is solved.

Q4: Why is it important to ensure you finish all 4 moves in the 4-move sequence in Step 3?
Ans: It is important to ensure you finish all 4 moves in the 4-move sequence in Step 3 because failing to do so can lead to common mistakes. For example, turning the entire cube instead of just the bottom layer or stopping the sequence prematurely when a piece appears solved can result in errors. Completing all 4 moves ensures that the piece is correctly positioned, avoiding mistakes and achieving a solved cube.

Q5: What should you do if you find a white piece stuck in the bottom layer incorrectly during Step 1?
Ans: If you find a white piece stuck in the bottom layer incorrectly during Step 1, you can bring it to the top layer by holding it at the front/right and executing the 4-move sequence. This maneuver helps reposition the white piece to the top layer, allowing you to continue solving the white layer.

Q6: Explain the role of the 4-move sequence in Step 1 of solving the 2x2 Rubik's Cube.
Ans: The 4-move sequence in Step 1 of solving the 2x2 Rubik's Cube is used to solve the first layer, specifically the white layer. It involves positioning a white piece correctly and then using the sequence to solve the remaining pieces of the white layer. The sequence helps ensure that the white layer is solved efficiently without complex algorithms.

Q7: Describe the goal of Step 2 in solving the 2x2 Rubik's Cube and the algorithm used for correctly positioning yellow pieces.
Ans: The goal of Step 2 is to ensure that the yellow pieces on the 2x2 Rubik's Cube are correctly positioned. A piece is considered correctly positioned if at least two colors on the piece match the nearest colors on the bottom layer. The algorithm for correctly positioning yellow pieces involves a sequence of moves: Turn the top layer with your right hand, then turn the right side up. Turn the top layer with your left hand, then turn the left side up. Repeat these steps while adjusting the top layer's position as needed.

Q8: What should you do if all four yellow pieces are not correctly positioned in Step 2 of solving the 2x2 Rubik's Cube?
Ans: If all four yellow pieces are not correctly positioned in Step 2, you should follow these steps: 1) Rotate the top layer until you have at least one piece in the correct position. 2) If one piece is correctly positioned, keep it at the front/right. 3) If two pieces are correctly positioned next to each other, adjust the top layer to have only one piece in the correct position. 4) If two pieces are correctly positioned diagonally across from each other, you can hold any piece at the front/right. 5) If all four pieces are correctly positioned, proceed to the next moves.

Q9: Explain the final steps to solve the 2x2 Rubik's Cube in Step 3.
Ans: In Step 3, the final steps to solve the 2x2 Rubik's Cube involve flipping the cube over so that all the unsolved pieces are in the bottom layer. Then, continuously perform the 4-move sequence until the front/right piece is solved, meaning it has yellow on the bottom. Rotate the bottom layer (not the whole cube) to bring an unsolved piece to the front/right and repeat the above steps until the entire cube is solved. It's crucial to finish all four moves in the sequence and avoid common mistakes like turning the entire cube instead of just the bottom layer.

Q10: What is the importance of practicing the 4-move sequence in Step 1 of solving the 2x2 Rubik's Cube?
Ans: Practicing the 4-move sequence in Step 1 is crucial because it helps make the sequence second nature, making it easier to solve the white layer efficiently. The sequence is used throughout the solving process, and mastering it ensures that you can quickly and accurately position white pieces. This practice sets the foundation for solving the entire 2x2 Rubik's Cube in under a minute.