AETHERIUS SYSTEM v4.2

SECTOR: ENGINE DECK

MODEL: CLOCKWORK-X

VALVE REGISTRY: 77-A

Operation Escape

STEAMPUNK AIRSHIP CRITICAL SYSTEM LOCK

NAME: ________________________

DATE: ________ TEAM: _______

Emergency Transmission: Airship Aetherius

The main engine is locking up! You must solve the order of operations puzzles (PEMDAS) including exponents and fractions to release the steam pressure before the airship crashes. Show your complete step-by-step mathematical evidence in the large scratchpads!

MODULE 1 • PART 1

The Gear Ignition Chambers (Gears A - D)

[ GEAR A ] Show all steps below

\( (2^3 + \frac{1}{2} \times 32) \div (24 \div (2 \times 4)) + 8 \)

Work & Answer:

[ GEAR B ] Show all steps below

\( 15 - (2^2 \times (12 - 9)) \div 12 \times (33 \times \frac{1}{3}) \)

Work & Answer:

[ GEAR C ] Show all steps below

\( (5^2 - (3^2 + 3 \times 2)) \div 2 + \frac{1}{2} \times 4 \)

Work & Answer:

[ GEAR D ] Show all steps below

\( 2^3 \times (3^2 - 7) - 48 \div (2 \times 3) \times (2 \times \frac{1}{2}) \)

Work & Answer:

AETHERIUS SYSTEM v4.2

SECTOR: LOWER COMBUSTION

The Gear Ignition Chambers

MODULE 1 • PART 2 (GEARS E - H)

Four additional chambers have been compromised! Solve Gears E through H to unlock the backup system relay code. Use the cipher table below to translate your numerical results into characters.

[ GEAR E ] Show all steps below

\( (2^4 - 2^2 \times 3) \div 4 + 4 \times \frac{1}{2} \)

Work & Answer:

[ GEAR F ] Show all steps below

\( 2^3 - (3^2 - 6 \times \frac{1}{2}) \div 2 \)

Work & Answer:

[ GEAR G ] Show all steps below

\( (2^5 - 2 \times 3) \div \frac{1}{2} - 32 \)

Work & Answer:

[ GEAR H ] Show all steps below

\( (3^2 + 15) \times \frac{1}{2} \)

Work & Answer:

CHAMBER CIPHER KEY

Match values from Gears A-H to translate system words.

3 = L

4 = E

5 = O

7 = A

8 = R

12 = K

16 = G

20 = C

DECODED SHUTDOWN KEY

(WORD 1: A-D) • (WORD 2: E-H)

AETHERIUS SYSTEM v4.2

SECTOR: CONDENSER TANK

Pressure Conduit Routing

MODULE 2: VALVE OVERRIDE MAZE

The condenser pipes are venting steam wildly! To stabilize the pressure, you must trace the path of correctly solved order of operations calculations. Only the equations that are MATHEMATICALLY TRUE are active. Follow the active pipe values to decrypt the second release word.

PIPE PATH ANALYSIS CHART

PIPE CODE	EQUATION & STATUS CHECK	PATH VALUE IF TRUE
PIPE #1	\( (5^2 - 5) \times \frac{1}{5} \div 5 \times 2^3 = 8 \)	FALSE PATH
PIPE #2	\( 72 \div (2^2 \times (9 - 6)) = 6 \)	Letter "V"
PIPE #3	\( 10^2 - (2^3 + 2) \times 3^2 = 270 \)	FALSE PATH
PIPE #4	\( (2^5 + 13) \div (3^2 - 6) - \frac{1}{2} \times 2 = 14 \)	Letter "A"
PIPE #5	\( 3^2 \times (24 \div (2 \times 2^2)) = 27 \)	Letter "L"
PIPE #6	\( 2^4 + 6 \div 2 - 3 = 8 \)	FALSE PATH
PIPE #7	\( (2^3 + 3 \times 4) \div (5^2 - 23) = 10 \)	Letter "V"
PIPE #8	\( 90 \div (3 \times (2^2 - 2)) + 5^2 = 40 \)	Letter "E"

PIPELINE ANALYSIS EVIDENCE LOG

Write down why Pipe #3 and Pipe #6 are False. What are their correct actual math answers?

PIPE #3 CORRECT CALCULATION & REASONING:

____________________________________________________________________________________

PIPE #6 CORRECT CALCULATION & REASONING:

____________________________________________________________________________________

MODULE 2 MASTER DECRYPTOR

Combine the letters collected from the TRUE pipes in top-to-bottom sequence.

(TRUE PIPE PATH CHARACTERS)

AETHERIUS SYSTEM v4.2

FINAL TERMINAL LOCKOUT

The Operator Chronometer

MODULE 3 & STEAMPUNK ESCAPE VALIDATION

The chronological locking wheels have had their mathematical operation signs rusted away! Fill in the blank gears with mathematical operators (\(+\), \(-\), \(\times\), \(\div\)) to make each equation TRUE.

[ VALVE GEAR WHEEL A ] Insert Correct Operational Signs

\(2^3\)

\((10 \times \frac{1}{2})\)

\(3\) \(=\) \(37\)

Hints: Resolve exponent and fraction values first, then prioritize operations.

[ VALVE GEAR WHEEL B ] Insert Correct Operational Signs

\(3^2\)

\((12 - 4)\)

\(2^3\) \(=\) \(80\)

Hint: Exponents and Parentheses first, then apply correct math priorities.

[ VALVE GEAR WHEEL C ] Insert Correct Operational Signs

\((5^2\)

\((10 \times \frac{1}{2}))\)

\((2^3 - 6)\) \(=\) \(10\)

Hint: Work within brackets from exponents to operations, then combine.

OPERATOR CIPHER CODE

Convert your solved operations in the gears to find the 3-digit key combination!

\(+\) = 1

\(-\) = 2

\(\times\) = 3

\(\div\) = 4

MODULE 3 KEY

(GEAR 1 VAL) - (GEAR 3 VAL) - (GEAR 5 VAL)

AIRSHIP STEAM REGULATOR PANEL ALL VALVES RELEASE KEY

CODES 1 & 2 (MODULE 1 WORDS)

CODE 3 (PIPES MAZE)

CODE 4 (CHRONOMETER)

Operation Escape Student Booklet

Operation Escape Student Booklet

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