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Matrix Coding - Advanced Level: diagonal patterns ADVANCED

Master matrix coding concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into diagonal patterns while learning matrix manipulation, cell relationships, grid logic. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Matrix Coding
Worksheet 26 of 30 (86% complete)

Question 1

Find the missing element (?) in this matrix pattern: A C E C E G E G ? What should replace the '?'?
Pattern: alternating letters pattern

Step 1: First row: A(1), C(3), E(5) - skip 1 letter
Step 2: Second row: C(3), E(5), G(7) - skip 1 letter
Step 3: Third row: E(5), G(7), ?
Step 4: Next letter after G(7) skipping one is I(9)
Pattern: Each cell increases by 2 alphabet positions

Answer: I
pattern, completion, reasoning

Question 2

In matrix: 1 2 3 4 5 6 7 8 9 What is the sum of main diagonal?
The sum of main diagonal: 1 + 5 + 9 = 15
numbers, matrix, arithmetic

Question 3

Find the missing element (?) in this matrix pattern: A C E C E G E G ? What should replace the '?'?
Pattern: alternating letters pattern

Step 1: First row: A(1), C(3), E(5) - skip 1 letter
Step 2: Second row: C(3), E(5), G(7) - skip 1 letter
Step 3: Third row: E(5), G(7), ?
Step 4: Next letter after G(7) skipping one is I(9)
Pattern: Each cell increases by 2 alphabet positions

Answer: I
pattern, completion, reasoning

Question 4

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 5

In a 5×5 matrix: Row1: A B C D E Row2: F G H I J Row3: K L M N O Row4: P Q R S T Row5: U V W X Y 'HARD' is coded as (row,col) combination. What is the code?
Matrix positions: H=(2,3) A=(1,1) R=(4,3) D=(1,4) → Combined code: 23114314
matrix, position, coding

Question 6

In matrix: 3 8 1 5 2 7 9 4 6 Which row has the maximum sum?
Row sums: Row1=12, Row2=14, Row3=19. Maximum is Row 3 with sum 19
operations, analysis, comparison

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 'CODE' coordinates are?
Coordinate mapping: C(1, 3) O(4, 3) D(1, 4) E(2, 1)
coordinates, position, mapping

Question 8

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'CIPHER' by giving row and column numbers concatenated.
Position mapping: C→(0,2) I→(1,2) P→(2,3) H→(1,1) E→(0,4) R→(2,5) → 021223110425
cipher, position, encoding

Question 9

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 10

Original matrix: A B C D E F G H I After column-reversed transformation, the matrix becomes:
Applying column-reversed transformation yields:
G H I
D E F
A B C
transformation, geometry, rotation

Question 11

In a 6×6 matrix (row0-5, col0-5) containing letters A-Z and digits 0-9 in row-major order, encode 'MATRIX' by giving row and column numbers concatenated.
Position mapping: M→(2,0) A→(0,0) T→(3,1) R→(2,5) I→(1,2) X→(3,5) → 200031251235
cipher, position, encoding

Question 12

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 13

In matrix: 3 8 1 5 2 7 9 4 6 Which column has the minimum sum?
Column sums: Col1=17, Col2=14, Col3=14. Minimum is Column 2 with sum 14
operations, analysis, comparison

Question 14

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 15

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 anti-diagonal path (Start at (1,4) and move diagonally down-left), what word do we get?
Following the anti-diagonal path: (1,4)=D (2,3)=G (3,2)=J (4,1)=M → DGJM
path, navigation, reading

Question 16

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 'MATRIX'?
Encoding 'MATRIX': M→♠ A→★ T→★ R→♥ I→★ = ♠★★♥★
decoding, cipher, puzzle

Question 17

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 18

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 19

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

Question 20

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 'CODE' coordinates are?
Coordinate mapping: C(1, 3) O(4, 3) D(1, 4) E(2, 1)
coordinates, position, mapping
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