Crime Scene Blueprint Worksheet Case File #882: The Jobsite Heist
Forensics & Trade Math Investigation
Status: Restricted
Name: __________________________
Date: ___________________________
The Situation
Last night, a high-end construction site was breached. Three spools of premium copper wiring and a custom industrial saw were stolen. The thief left behind a messy scene: a spilled bucket of primer, a set of footprints, and a cryptic note. Your job is to use your knowledge of trade math and forensic geometry to identify the most likely suspect.
Evidence Item A: The Material Loss
The foreman needs to know the exact value of the stolen copper to file a police report. Use the following specs to calculate the total loss:
Spool 1: 500 feet of THHN 12/2 wire. Weight: 0.025 lbs per foot. Cost: $1.15 per foot.
Spool 2: 250 feet of THHN 10/2 wire. Weight: 0.040 lbs per foot. Cost: $1.85 per foot.
Spool 3: 1,000 feet of CAT6 data cable. Weight: 0.015 lbs per foot. Cost: $0.65 per foot.
1. Total Cost of Copper Loss:
2. Total Weight of Stolen Wire (lbs):
Note: If the thief carried this out by hand, the total weight must be under 80 lbs. Was there a vehicle involved?
Evidence Item B: Spatter Analysis
A bucket of white primer was knocked over during the struggle. A single droplet of primer hit a nearby drywall sheet. By measuring the length and width of the droplet, investigators can determine the Angle of Impact using the formula:
\[ \text{Angle} = \arcsin\left(\frac{\text{Width}}{\text{Length}}\right) \]
The droplet on the wall measures 12mm wide and 24mm long .
Calculate the Angle of Impact:
Suspect Height Profile:
Angle > 45°: Suspect is likely under 5'8" (hitting from above).
Angle < 45°: Suspect is likely over 6'0" (hitting from an acute angle).
Angle = 30°: Suspect was likely crouching or kneeling.
The Verdict
Suspect Height Access to Vehicle Notes "Shorty" Miller 5'4" No Owes $500 in tool debt. Big Al 6'4" Yes (Truck) Experienced electrician. The Apprentice 5'10" No Crouching when working.
Based on the math and forensic evidence, who is your primary suspect? Explain your logic below:
Roanoke Riddles Worksheet Classified Historical Dossier
The Vanished Colony
The 1590 Roanoke Disappearance
The Mystery
In 1587, 115 English settlers arrived on Roanoke Island, off the coast of what is now North Carolina. Their leader, John White, sailed back to England for supplies but was delayed for three years by the Anglo-Spanish War. When he finally returned in 1590, the settlement was deserted. There was no sign of a struggle, no bodies, and no "Croatan" cross—the prearranged signal for distress.
The only clues were two words carved into wooden posts: "CRO" and "CROATOAN." For centuries, historians have debated whether they were slaughtered, moved inland to live with the Croatoan tribe, or attempted to sail back to England on their own.
Critical Analysis Question:
If there were no signs of a struggle (like broken fences or fire), what does this suggest about the "slaughter" theory versus the "voluntary migration" theory? Write your thoughts below.
The Lead Theories
1. Tribal Integration The settlers merged with the local Croatoan people for survival.
2. The Spanish Raid Spanish sailors from Florida found and captured the English colonists.
3. The Lost Voyage The settlers tried to reach the Chesapeake Bay by boat but were lost at sea.
The Croatoan Logic Grid
Five artifacts were found in different locations years after the colony vanished. Based on the clues, match each Artifact to its Location and the Year it was purportedly discovered.
The Clues:
The Silver Ring was found 20 years after the artifact in the Riverbank.
The artifact found in 1650 was a Broken Compass.
The Lead Bullet was found in the Swamp, but not in 1670.
The Old World Book was found at the Ancient Oak.
The artifact found in 1610 was discovered at the Village Site.
The Iron Spike was found in 1670.
Solution Key
Silver Ring Loc: _________ Year: ____
Broken Compass Loc: _________ Year: ____
Lead Bullet Loc: _________ Year: ____
Old World Book Loc: _________ Year: ____
Iron Spike Loc: _________ Year: ____
Locations: Riverbank, Ancient Oak, Village Site, Swamp, Forest Edge
Years: 1610, 1630, 1650, 1670, 1690
End of Classified Dossier | File: RNOK-1590
Trade Finance Escape Activity Blueprint for Success
Personal Finance & Trade Business Math
Financial Dossier
Account: _______________________
Goal: Opening Your Own Trade Business
You are planning to launch an independent contracting business. To secure a loan and stay out of debt, you must navigate these three financial puzzles. Each answer provides a digit for the Master Vault Code at the end.
Level 1: The Depreciation Trap
You buy a professional grade welder for $2,400 . For tax purposes, you use "Straight-Line Depreciation" over 5 years. This means the welder loses an equal amount of value every year until it hits a scrap value of $400 .
Calculate the yearly depreciation expense:
Show your work here...
Hint: (Initial Cost - Scrap Value) / 5 Years
The first digit of the vault code is the hundreds place of your answer.
Level 2: Bidding for Profit
You are bidding on a plumbing job. Your costs are: $800 for parts and 20 hours of labor at $45/hr . You want a 20% profit margin on top of your total costs.
Calculate the total bid price (Costs + 20%):
Show your work here...
The second digit of the vault code is the tens place of the final bid price.
Level 3: The Credit Card Loop
You put $1,200 on a high-interest credit card (24% APR) for emergency supplies. If you only pay the monthly interest charge of $24 every month (and nothing toward the principal), how many months will it take to pay off the $1,200?
A 50 Months
B Never
Explain your reasoning below:
The third digit of the vault code is 0 if it's never paid off, or 5 if it eventually is.
Master Vault Code
?
?
?
Digits from Levels 1, 2, and 3
Detective's Desk Puzzles Detective's Desk
Logic Puzzles & Brain Teasers
01
The Liar's Alibi
Four suspects are questioned about a robbery. Only one of them is telling the truth.
Adams: "Ben did it."
Ben: "Caleb did it."
Caleb: "Ben is lying when he says I did it."
David: "I didn't do it."
Who is the thief?
Hint: Assume one person is telling the truth and see if the others' statements become lies.
02
The Heavy Box
You have 9 identical looking metal trade boxes. One is slightly heavier than the others because it contains gold scrap. You have a simple balance scale.
What is the minimum number of weighings needed to find the heavy box?
Show your logic:
The Verdict: Automation vs. Handcrafted
Current Event: AI and robotics are entering the trades. Automatic brick-laying machines and 3D concrete printers are now building houses in weeks instead of months.
Some argue this will make housing cheaper and safer. Others argue it destroys the "art" of the trade and removes high-paying jobs for skilled humans.
Where do you stand? If you were starting a trade business today, would you embrace these machines or market yourself as a "Master Human Craftsman"? Why?
Confidential Logic Exercise | File: desk-puzzles-rev
Investigation Answer Key Logic Lockdown: Investigation Key
Teacher Resource / Answer Key
1. Crime Scene Blueprint
Part A: Material Math
Total Cost: $1,687.50
(500x1.15 + 250x1.85 + 1000x0.65 = 575 + 462.5 + 650)
Total Weight: 37.5 lbs
(500x.025 + 250x.04 + 1000x.015 = 12.5 + 10 + 15)
Conclusion: The thief could have carried it out by hand (under 80 lbs).
Part B: Forensic Geometry
Angle: 30°
Formula: arcsin(Width/Length) = arcsin(12/24) = arcsin(0.5) = 30°
Suspect: The Apprentice (he was likely crouching/kneeling).
2. Roanoke Riddles Logic Grid
Artifact Location Year Silver Ring Village Site 1610 Old World Book Ancient Oak 1630 Broken Compass Riverbank 1650 Lead Bullet Swamp 1670 Iron Spike Forest Edge 1690
3. Trade Finance Escape
Level 1 (Depreciation)
$400/year
Digit 1 = 4
Level 2 (Profit)
$2,040 Total
Digit 2 = 4
Level 3 (Credit)
Never Paid Off
Digit 3 = 0
VAULT CODE: 4 4 0
4. Detective's Desk Puzzles
01. The Liar's Alibi: Caleb is the only one telling the truth. David is the thief.
If Caleb is telling the truth, David's statement ("I didn't do it") must be a lie. Therefore, David did it. This makes Adams and Ben liars as well, satisfying the "one truth" rule.
02. The Heavy Box: 2 weighings.
Weigh 1: Split into 3 groups of 3 (A, B, C). Weigh A vs B. If balanced, heavy is in C. If unbalanced, you know which group has it. Weigh 2: Take the 3 boxes from the heavy group. Weigh 1 vs 1. If balanced, the 3rd is heavy.
Crime Scene Blueprint Worksheet Case File #882: The Jobsite Heist
Forensics & Trade Math Investigation
Status: Restricted
Name: __________________________
Date: ___________________________
The Situation
Last night, a high-end construction site was breached. Three spools of premium copper wiring and a custom industrial saw were stolen. The thief left behind a messy scene: a spilled bucket of primer, a set of footprints, and a cryptic note. Your job is to use your knowledge of trade math and forensic geometry to identify the most likely suspect.
Evidence Item A: The Material Loss
The foreman needs to know the exact value of the stolen copper to file a police report. Use the following specs to calculate the total loss:
Spool 1: 500 feet of THHN 12/2 wire. Weight: 0.025 lbs per foot. Cost: $1.15 per foot.
Spool 2: 250 feet of THHN 10/2 wire. Weight: 0.040 lbs per foot. Cost: $1.85 per foot.
Spool 3: 1,000 feet of CAT6 data cable. Weight: 0.015 lbs per foot. Cost: $0.65 per foot.
Final Report Values
Total Cost: $__________
Total Weight: __________ lbs
Scratchpad / Calculations Area:
Show your step-by-step multiplication and addition here...
Note: If the thief carried this out by hand, the total weight must be under 80 lbs. Was there a vehicle involved?
Evidence Item B: Spatter Analysis
A bucket of white primer was knocked over. A droplet of primer hit a drywall sheet. Measure the angle of impact:
Angle = arcsin(Width / Length)
The droplet on the wall measures 12mm wide and 24mm long .
Calculate the Angle of Impact:
Suspect Height Profile:
Angle > 45°: Suspect is likely under 5'8" (hitting from above).
Angle < 45°: Suspect is likely over 6'0" (hitting from an acute angle).
Angle = 30°: Suspect was likely crouching or kneeling.
The Verdict
Suspect Height Access to Vehicle Notes "Shorty" Miller 5'4" No Owes $500 in tool debt. Big Al 6'4" Yes (Truck) Experienced electrician.
Roanoke Riddles Worksheet Classified Historical Dossier
The Vanished Colony
The 1590 Roanoke Disappearance
The Mystery
In 1587, 115 English settlers arrived on Roanoke Island. Their leader, John White, sailed back to England for supplies but was delayed for three years. When he finally returned in 1590, the settlement was deserted. There was no sign of a struggle and no bodies. The only clues were "CRO" and "CROATOAN" carved into posts.
Critical Analysis Question:
If there were no signs of a struggle, what does this suggest about the voluntary migration theory? Write your thoughts below.
The Theories
1. Tribal Integration The settlers merged with the local Croatoan people.
2. The Spanish Raid Spanish sailors captured the English colonists.
3. The Lost Voyage Settlers were lost at sea trying to reach Virginia.
The Deduction Matrix
Five artifacts were found in different locations years after the colony vanished. Match each Artifact to its Location and Year .
The Clues:
The Silver Ring was found 20 years after the artifact in the Riverbank.
The artifact found in 1650 was a Broken Compass.
The Lead Bullet was found in the Swamp, but not in 1670.
The Old World Book was found at the Ancient Oak.
The artifact found in 1610 was discovered at the Village Site.
The Iron Spike was found in 1670 at the Forest Edge.
1610 1630 1650 1670 1690 Silver Ring Compass Bullet Book Spike
Final Solution Key
Silver Ring: Loc: ___________ Year: ____
Compass: Loc: ___________ Year: ____
Lead Bullet: Loc: ___________ Year: ____
World Book: Loc: ___________ Year: ____
Iron Spike: Loc: ___________ Year: ____
Trade Finance Escape Activity Blueprint for Success
Personal Finance & Trade Business Math
Financial Dossier
Account: _______________________
Level 1: The Depreciation Trap
You buy a professional grade welder for $2,400 . You use straight-line depreciation over 5 years. It loses an equal amount of value every year until it hits a scrap value of $400 .
Calculate the yearly depreciation expense:
Show your work...
Vault Digit 1: The hundreds place of your answer.
Level 2: Bidding for Profit
You are bidding on a plumbing job. Costs: $800 for parts + 20 hours of labor at $45/hr . You want a 20% markup on total costs .
Calculate the total bid price (Costs + 20% Markup):
Show your work...
Vault Digit 2: The tens place of the final bid price.
Level 3: The Credit Card Loop
You put $1,200 on a card (24% APR). If you only pay the monthly interest charge of $24 every month (and nothing toward the principal), how long to pay off the $1,200?
A 50 Months
B Never
Explain why:
Vault Digit 3: 0 if never paid off, or 5 if it eventually is.
Master Vault Code
?
?
?
Unlock your business license
Detective's Desk Puzzles Detective's Desk
Logic Puzzles & Brain Teasers
01
The Liar's Alibi
Four suspects are questioned. Only one of them is telling the truth.
Adams: "Ben did it."
Ben: "Caleb did it."
Caleb: "Ben is lying."
David: "I didn't do it."
Who is the thief?
Hint: Assume one is telling the truth and check for contradictions.
02
The Heavy Box
You have 9 identical looking boxes. One is slightly heavier. You have a simple balance scale.
Minimum weighings to find the box?
Show your logic:
The Verdict: Automation vs. Handcrafted
The Situation: AI and robotics are entering the trades. Automatic brick-laying machines and 3D concrete printers are building houses in weeks.
Is this the future of safety and efficiency, or does it destroy the soul of high-skilled manual labor?
If you were starting a trade business today, how would you respond to this technology? Would you embrace the machines or double-down on human artistry?
Your Reflection:
Confidential Logic Exercise | File: desk-puzzles-rev
Investigation Answer Key Logic Lockdown: Investigation Key
Teacher Resource / Answer Key
1. Crime Scene Blueprint
Part A: Material Math
Total Cost: $1,687.50
(500x1.15 + 250x1.85 + 1000x0.65 = 575 + 462.5 + 650)
Total Weight: 37.5 lbs
(500x.025 + 250x.04 + 1000x.015 = 12.5 + 10 + 15)
Part B: Forensic Geometry
Angle: 30°
Calculation: arcsin(12/24) = arcsin(0.5) = 30°
Suspect: The Apprentice (crouching height).
2. Roanoke Riddles Logic Grid
Artifact Location Year Silver Ring Village Site 1610 Old World Book Ancient Oak 1630 Broken Compass Riverbank 1650 Lead Bullet Swamp 1690 Iron Spike Forest Edge 1670
3. Trade Finance Escape
Level 1 (Depreciation)
$400/year
Digit 1 = 4
Level 2 (Profit)
$2,040 Total
Digit 2 = 4
Level 3 (Credit)
Never Paid Off
Digit 3 = 0
Master Unlock Code 4 4 0
4. Detective's Desk Puzzles
01. The Liar's Alibi: David is the thief. Caleb is the only one telling the truth.
Reasoning: If Caleb is truthful, then Ben's statement is a lie. If Ben is a liar, then Caleb didn't do it. David's claim of innocence must be a lie because only ONE can be truthful.
02. The Heavy Box: 2 weighings.
Reasoning: Split 9 into 3-3-3. Weigh group A vs B. If equal, heavy is in C. If A is heavy, heavy is in A. Then take the 3 boxes from the heavy group and weigh 1 vs 1.