Matrix Coding Worksheet 27 - Advanced Level (corner values) | 20 Questions

Question 1

Matrix A: 2 2 3 4 9 9 3 8 5 Matrix B: 9 4 7 9 3 2 3 7 4 What is the result of matrix addition (element-wise)?

Performing element-wise addition:
Row1: 2+9=11 + 2+4=6 + 3+7=10
Row2: 4+9=13 + 9+3=12 + 9+2=11
Row3: 3+3=6 + 8+7=15 + 5+4=9

arithmetic, operations, calculation

Question 2

Original matrix: 2 4 6 8 10 12 14 16 18 After row-reversed transformation, the matrix becomes:

Applying row-reversed transformation yields:
6 4 2
12 10 8
18 16 14

transformation, geometry, rotation

Question 3

Find the missing element (?) in this matrix pattern: 1 3 5 2 4 6 3 5 ? What should replace the '?'?

Pattern: arithmetic progression - rows increase by 2, columns increase by 1

Step 1: Observe the pattern in first row: 1 → 3 → 5 (adds 2 each time)
Step 2: Second row: 2 → 4 → 6 (also adds 2 each time)
Step 3: Third row: 3 → 5 → ? (should also add 2)
Step 4: Therefore, ? should be 7 (5 + 2)
Step 5: Check column pattern: Col1: 1,2,3 (+1), Col2: 3,4,5 (+1), Col3: 5,6,7 (+1)
Pattern: Each row increases by 2, each column increases by 1 - consistent across matrix

Answer: 7

pattern, completion, reasoning

Question 4

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'PUZZLE'?

Encoding 'PUZZLE': P→♠ L→★ E→♦ = ♠★♦

decoding, cipher, puzzle

Question 5

If A=0001, B=0010, C=0011, D=0100, E=0101, F=0110, G=0111, H=1000, I=1001, J=1010, K=1011, L=1100 (binary sequence 1-12), then 'HEAD' in binary?

Binary coding: H=1000 + E=0101 + A=0001 + D=0100 = 1000010100010100

binary, advanced, encoding

Question 6

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'CODE'?

Encoding 'CODE': C→♣ O→♥ D→♥ E→♦ = ♣♥♥♦

decoding, cipher, puzzle

Question 7

If A=0001, B=0010, C=0011, D=0100, E=0101, F=0110, G=0111, H=1000, I=1001, J=1010, K=1011, L=1100 (binary sequence 1-12), then 'BAD' in binary?

Binary coding: B=0010 + A=0001 + D=0100 = 001000010100

binary, advanced, encoding

Question 8

In the 4×4 matrix: A B C D E F G H I J K L M N O P If we follow the bottom row path (Start at (4,1) and move right), what word do we get?

Following the bottom row path: (4,1)=M (4,2)=N (4,3)=O (4,4)=P → MNOP

path, navigation, reading

Question 9

In matrix: 2 9 4 7 5 3 6 1 8 Which column has the minimum sum?

Column sums: Col1=15, Col2=15, Col3=15. Minimum is Column 1 with sum 15

operations, analysis, comparison

Question 10

In pattern matrix: * @ # $ @ # $ * # $ * @ $ * @ # Code 'CDAB' using A=col1, B=col2, C=col3, D=col4, row advances sequentially (row0, row1, row2, row3, then repeats)?

Coding process: C→# D→* A→# B→* = #*#*

pattern, symbols, coding

Question 11

In matrix: 2 9 4 7 5 3 6 1 8 Which row has the maximum sum?

Row sums: Row1=15, Row2=15, Row3=15. Maximum is Row 1 with sum 15

operations, analysis, comparison

Question 12

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'DECODE' by giving row and column numbers concatenated.

Position mapping: D→(0,3) E→(0,4) C→(0,2) O→(2,2) D→(0,3) E→(0,4) → 030402220304

cipher, position, encoding

Question 13

Original matrix: 2 4 6 8 10 12 14 16 18 After rotated-270 transformation, the matrix becomes:

Applying rotated-270 transformation yields:
6 12 18
4 10 16
2 8 14

transformation, geometry, rotation

Question 14

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'PUZZLE'?

Encoding 'PUZZLE': P→♠ L→★ E→♦ = ♠★♦

decoding, cipher, puzzle

Question 15

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'CODE'?

Encoding 'CODE': C→♣ O→♥ D→♥ E→♦ = ♣♥♥♦

decoding, cipher, puzzle

Question 16

Find the missing element (?) in this matrix pattern: 1 3 5 2 4 6 3 5 ? What should replace the '?'?

Pattern: arithmetic progression - rows increase by 2, columns increase by 1

Step 1: Observe the pattern in first row: 1 → 3 → 5 (adds 2 each time)
Step 2: Second row: 2 → 4 → 6 (also adds 2 each time)
Step 3: Third row: 3 → 5 → ? (should also add 2)
Step 4: Therefore, ? should be 7 (5 + 2)
Step 5: Check column pattern: Col1: 1,2,3 (+1), Col2: 3,4,5 (+1), Col3: 5,6,7 (+1)
Pattern: Each row increases by 2, each column increases by 1 - consistent across matrix

Answer: 7

pattern, completion, reasoning

Question 17

In pattern matrix: * @ # $ @ # $ * # $ * @ $ * @ # Code 'CDAB' using A=col1, B=col2, C=col3, D=col4, row advances sequentially (row0, row1, row2, row3, then repeats)?

Coding process: C→# D→* A→# B→* = #*#*

pattern, symbols, coding

Question 18

In the 4×4 matrix: A B C D E F G H I J K L M N O P If we follow the last column path (Start at (1,4) and move down), what word do we get?

Following the last column path: (1,4)=D (2,4)=H (3,4)=L (4,4)=P → DHLP

path, navigation, reading

Question 19

If letters are at coordinates A(1,1), B(1,2), C(1,3), D(1,4), E(2,1), F(2,2), G(2,3), H(2,4), I(3,1), J(3,2), K(3,3), L(3,4), M(4,1), N(4,2), O(4,3), P(4,4), then 'TEXT' coordinates are?

Coordinate mapping: E(2, 1)

coordinates, position, mapping

Question 20

Using this 5×5 cipher matrix: ★ ♠ ♣ ♥ ♦ ♣ ♥ ♦ ★ ♠ ♦ ★ ♠ ♣ ♥ ♠ ♣ ♥ ♦ ★ ♥ ♦ ★ ♠ ♣ Letters A-T map to cells in row-major order (A→★, B→♠, C→♣, D→♥, E→♦, etc.) What is the encoded form of 'DECODE'?

Encoding 'DECODE': D→♥ E→♦ C→♣ O→♥ D→♥ E→♦ = ♥♦♣♥♥♦

decoding, cipher, puzzle

Matrix Coding - Advanced Level: corner values ADVANCED

What you'll learn in this worksheet:

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20