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Matrix Coding - Beginner-Intermediate Level: grid logic BEGINNER-INTERMEDIATE

Quick intensive drill ★ session: 20 beginner-intermediate-level matrix coding questions. Worksheet 7 of 30 - Focus: grid logic. Practice grid logic, matrix decoding, table patterns with instant feedback. Great for developing students needing building on fundamentals with moderate challenges practice.

📝 Worksheet 7 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Matrix Coding
Worksheet 7 of 30 (23% complete)

Question 1

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 2

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

Question 3

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

Question 4

Matrix A: 8 3 8 3 5 5 5 6 7 Matrix B: 9 8 2 8 1 6 5 8 8 What is the result of matrix addition (element-wise)?
Performing element-wise addition:
Row1: 8+9=17 + 3+8=11 + 8+2=10
Row2: 3+8=11 + 5+1=6 + 5+6=11
Row3: 5+5=10 + 6+8=14 + 7+8=15
arithmetic, operations, calculation

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 'MATH' is coded as (row,col) combination. What is the code?
Matrix positions: M=(3,3) A=(1,1) T=(4,5) H=(2,3) → Combined code: 33114523
matrix, position, coding

Question 6

Matrix A: 1 2 1 1 4 3 5 2 8 Matrix B: 1 5 9 4 9 1 8 1 7 What is the result of matrix subtraction (element-wise)?
Performing element-wise subtraction:
Row1: 1+1=0 + 2+5=-3 + 1+9=-8
Row2: 1+4=-3 + 4+9=-5 + 3+1=2
Row3: 5+8=-3 + 2+1=1 + 8+7=1
arithmetic, operations, calculation

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 'CAB' in binary?
Binary coding: C=0011 + A=0001 + B=0010 = 001100010010
binary, advanced, encoding

Question 8

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 9

In matrix: 1 4 7 2 5 8 3 6 9 Which column has the maximum sum?
Column sums: Col1=6, Col2=15, Col3=24. Maximum is Column 3 with sum 24
operations, analysis, comparison

Question 10

Original matrix: 1 2 3 4 5 6 7 8 9 After rotated-270 transformation, the matrix becomes:
Applying rotated-270 transformation yields:
3 6 9
2 5 8
1 4 7
transformation, geometry, rotation

Question 11

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 12

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 13

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 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 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 15

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

Question 16

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 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

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 19

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

Question 20

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
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