Grouping Symbols Worksheet AGENT CIPHER LAB // DECODING DEPT
AGENT NAME:
DATE:
GEMDAS Series // Level 1
GROUPING SYMBOLS CIPHER
Wrangle the innermost operations first! Decode each expression by prioritizing parentheses () , square brackets [] , and braces {} .
Active Phase
G - GROUPING
Innermost Outer Outwards
CIPHER 01
15 - (3 × 4) + 2
Level: Basic Parentheses
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
M/D
A/S
Final Code
VERIFIED
CIPHER 02
(24 ÷ 6) × (8 - 5)
Level: Double Parentheses
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
M/D
A/S
Final Code
VERIFIED
CIPHER 03
5 × [14 - (2 + 4)]
Level: Nested Brackets
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
M/D
A/S
Final Code
VERIFIED
CIPHER 04
36 ÷ [(9 - 5) × 3]
Level: Nested Brackets 2
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
M/D
A/S
Final Code
VERIFIED
CIPHER 05
{2 × [20 - (4 + 6)]} ÷ 4
Level: Double Nested Braces
Step-by-Step Decryption:
Step 1:
Step 2:
Step 3:
Priority
G
M/D
A/S
Final Code
VERIFIED
DECIPHER TERMINAL // CODE: ALPHA-1 PAGE 1 OF 1
Exponents Evaluation Worksheet AGENT CIPHER LAB // DECODING DEPT
AGENT NAME:
DATE:
GEMDAS Series // Level 2
EXPONENTS EVALUATION CIPHER
Unleash exponential power! Solve groupings first, then immediately evaluate all exponents (squares x² and cubes x³ ) before other operations.
Active Phase
E - EXPONENTS
G → E → MD → AS
CIPHER 01
4² - 10 + 3
Level: Square Powers
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
CIPHER 02
3 × 2³ + 5
Level: Cube Powers
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
CIPHER 03
(12 - 9)² × 4
Level: Grouping & Power
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
CIPHER 04
50 ÷ 5² + (18 ÷ 2)
Level: Power & Division
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
CIPHER 05
2 × [ 3³ - (5 × 4) ]
Level: Double Nested Power
Step-by-Step Decryption:
Step 1:
Step 2:
Step 3:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
DECIPHER TERMINAL // CODE: BETA-2 PAGE 1 OF 1
Multiplication Division Flow Worksheet AGENT CIPHER LAB // DECODING DEPT
AGENT NAME:
DATE:
GEMDAS Series // Level 3
MULTIPLICATION & DIVISION FLOW
Master the left-to-right current! Multiplication M and Division D have the exact same priority . Solve them strictly in order from left to right.
Active Phase
M / D FLOW
Left to Right Priority
CIPHER 01
24 ÷ 4 × 3
Misconception Buster: Division Left
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D ➔
A/S
Final Code
VERIFIED
CIPHER 02
5 × 6 ÷ 2
Level: Multiply Left
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D ➔
A/S
Final Code
VERIFIED
CIPHER 03
(18 ÷ 3) × 4 ÷ 8
Level: Grouping & Chain
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D ➔
A/S
Final Code
VERIFIED
CIPHER 04
72 ÷ 8 × 2 ÷ 3
Level: 3-Term Flow
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D ➔
A/S
Final Code
VERIFIED
CIPHER 05
[ 10 × (12 ÷ 3) ] ÷ 5 × 2
Level: Double Nested Flow
Step-by-Step Decryption:
Step 1:
Step 2:
Step 3:
Priority
G
E
M/D ➔
A/S
Final Code
VERIFIED
DECIPHER TERMINAL // CODE: GAMMA-3 PAGE 1 OF 1
Addition Subtraction Flow Worksheet AGENT CIPHER LAB // DECODING DEPT
AGENT NAME:
DATE:
GEMDAS Series // Level 4
ADDITION & SUBTRACTION FLOW
Wrangle the final sequence! Addition A and Subtraction S have the exact same priority . Work them strictly in order from left to right to crack the code.
Active Phase
A / S FLOW
Left to Right Priority
CIPHER 01
18 - 5 + 4
Misconception Buster: Subtract First
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S ➔
Final Code
VERIFIED
CIPHER 02
32 + 8 - 15
Level: Add Left
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S ➔
Final Code
VERIFIED
CIPHER 03
(45 - 20) + 12 - 8
Level: Grouping & Chain
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S ➔
Final Code
VERIFIED
CIPHER 04
50 - 14 - 10 + 6
Level: 3-Term Flow
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S ➔
Final Code
VERIFIED
CIPHER 05
[ (60 - 20) ÷ 5 ] + 18 - 9
Level: Double Nested Flow
Step-by-Step Decryption:
Step 1:
Step 2:
Step 3:
Priority
G
E
M/D
A/S ➔
Final Code
VERIFIED
DECIPHER TERMINAL // CODE: DELTA-4 PAGE 1 OF 1
Grand GEMDAS Worksheet AGENT CIPHER LAB // DECODING DEPT
AGENT NAME:
DATE:
GEMDAS Series // Level 5 Capstone
GRAND GEMDAS VAULT
The ultimate security vault awaits! Synthesize all order of operations principles: Groupings G , Exponents E , Multiplication/Division MD , and Addition/Subtraction AS .
Active Phase
VAULT KEY
Full Synthesis Complete
CIPHER 01
6² ÷ (3 × 4) + 8
Sub-Vault Door 1
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
CIPHER 02
5 × [ 2³ + (15 ÷ 5) ]
Sub-Vault Door 2
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
CIPHER 03
40 - (3² - 1) × 4 ÷ 8
Sub-Vault Door 3
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
CIPHER 04
{3 × [ 20 - (2² + 4) ]} + 7
Sub-Vault Door 4
Step-by-Step Decryption:
Step 1:
Step 2:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
CIPHER 05
[ 100 ÷ (2 × 5)² ] × 9 - 3
The Ultimate Core
Step-by-Step Decryption:
Step 1:
Step 2:
Step 3:
Priority
G
E
M/D
A/S
Final Code
VERIFIED
DECIPHER TERMINAL // CODE: GOLD-OMEGA PAGE 1 OF 1
