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Matrix Coding - Intermediate Level: symmetric coding INTERMEDIATE

Boost your speed and accuracy with this adaptive style 📈 worksheet. Worksheet 15 of 30 presents 20 intermediate-level matrix coding problems. Focus on symmetric coding while practicing matrix patterns, grid coding, row-column decoding. Difficulty: moderate complexity with mixed patterns. Perfect for mid-level test takers.

📝 Worksheet 15 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Matrix Coding
Worksheet 15 of 30 (50% complete)

Question 1

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'ENCODE' by giving row and column numbers concatenated.
Position mapping: E→(0,4) N→(2,1) C→(0,2) O→(2,2) D→(0,3) E→(0,4) → 042102220304
cipher, position, encoding

Question 2

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 main diagonal path (Start at (1,1) and move diagonally down-right), what word do we get?
Following the main diagonal path: (1,1)=A (2,2)=F (3,3)=K (4,4)=P → AFKP
path, navigation, reading

Question 3

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 'DATA' coordinates are?
Coordinate mapping: D(1, 4) A(1, 1) A(1, 1)
coordinates, position, mapping

Question 4

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'PUZZLE' by giving row and column numbers concatenated.
Position mapping: P→(2,3) U→(3,2) Z→(4,1) Z→(4,1) L→(1,5) E→(0,4) → 233241411504
cipher, position, encoding

Question 5

In matrix: 2 9 4 7 5 3 6 1 8 Which column has the maximum sum?
Column sums: Col1=15, Col2=15, Col3=15. Maximum is Column 1 with sum 15
operations, analysis, comparison

Question 6

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 'FACE' in binary?
Binary coding: F=0110 + A=0001 + C=0011 + E=0101 = 0110000100110101
binary, advanced, encoding

Question 7

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 'DATA' coordinates are?
Coordinate mapping: D(1, 4) A(1, 1) A(1, 1)
coordinates, position, mapping

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 main diagonal path (Start at (1,1) and move diagonally down-right), what word do we get?
Following the main diagonal path: (1,1)=A (2,2)=F (3,3)=K (4,4)=P → AFKP
path, navigation, reading

Question 9

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 10

Find the missing element (?) in this matrix pattern: 2 4 6 4 8 12 6 12 ? What should replace the '?'?
Pattern: multiplication table pattern

Step 1: First row: multiples of 2 (2×1, 2×2, 2×3)
Step 2: Second row: multiples of 4 (4×1, 4×2, 4×3)
Step 3: Third row: multiples of 6 (6×1, 6×2, 6×3)
Step 4: Missing cell is 6×3 = 18
Pattern: Matrix[i][j] = (row_value) × (j+1)

Answer: 18
pattern, completion, reasoning

Question 11

Original matrix: 2 4 6 8 10 12 14 16 18 After rotated-90 transformation, the matrix becomes:
Applying rotated-90 transformation yields:
14 8 2
16 10 4
18 12 6
transformation, geometry, rotation

Question 12

Original matrix: 2 4 6 8 10 12 14 16 18 After rotated-180 transformation, the matrix becomes:
Applying rotated-180 transformation yields:
18 16 14
12 10 8
6 4 2
transformation, geometry, rotation

Question 13

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 14

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

Question 15

Find the missing element (?) in this matrix pattern: 1 2 3 4 5 6 7 8 ? What should replace the '?'?
Pattern: consecutive numbers in row-major order

Step 1: Matrix filled row by row with consecutive numbers
Step 2: Row1: 1,2,3 | Row2: 4,5,6 | Row3: 7,8,?
Step 3: The sequence is 1 through 9
Step 4: Missing number is 9
Pattern: Standard 3×3 number matrix in sequential order

Answer: 9
pattern, completion, reasoning

Question 16

In matrix: 1 2 3 4 5 6 7 8 9 What is the sum of all corners?
The sum of all corners: 1 + 3 + 7 + 9 = 20
numbers, matrix, arithmetic

Question 17

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

Question 18

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 19

Matrix A: 2 1 2 6 1 6 5 4 4 Matrix B: 4 5 3 8 8 7 9 8 8 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 2+4=6 + 1+5=6 + 2+3=5
Row2: 6+8=14 + 1+8=9 + 6+7=13
Row3: 5+9=14 + 4+8=12 + 4+8=12
arithmetic, operations, calculation

Question 20

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'SECRET' by giving row and column numbers concatenated.
Position mapping: S→(3,0) E→(0,4) C→(0,2) R→(2,5) E→(0,4) T→(3,1) → 300402250431
cipher, position, encoding
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