The Lunar Base Sabotage
Someone tampered with the emergency life support scrubbers in Sector 4! Commander Vance needs your mathematical skills to analyze telemetry logs, narrow down the suspect pool, and unmask the saboteur before they flee on the supply shuttle.
Possible suspects
Cross off a row as each clue rules it out. On screen, tap a row.
| Name | Primary Gadget | Auxiliary Gear | Watch Wrist | Helmet Trim | Countermeasure |
|---|---|---|---|---|---|
| Katherine Johnson | Gravity Boots | Thermal Shield | Right Handed Watch | Neon Blue Trim | Water Mist |
| John Glenn | Plasma Torch | Stealth Cloak | Right Handed Watch | Neon Blue Trim | Water Mist |
| Mae Jemison | Ion Thruster | Stealth Cloak | Right Handed Watch | Neon Blue Trim | Foam Spray |
| Carolyn Porco | EMP Grenade | Signal Jammer | Right Handed Watch | Cosmic Red Trim | Water Mist |
| Yuri Gagarin | EMP Grenade | Thermal Shield | Right Handed Watch | Neon Blue Trim | Magnet Lock |
| Chris Hadfield | Plasma Torch | Hologram Projector | Right Handed Watch | Solar Yellow Trim | Water Mist |
| Peggy Whitson | Ion Thruster | Hack Tool | Right Handed Watch | Neon Blue Trim | Water Mist |
| Vera Rubin | Laser Cutter | Signal Jammer | Right Handed Watch | Neon Blue Trim | Foam Spray |
| Christina Koch | Laser Cutter | Hack Tool | Left Handed Watch | Solar Yellow Trim | Foam Spray |
| Neil Armstrong | Ion Thruster | Hologram Projector | Right Handed Watch | Neon Blue Trim | Water Mist |
| Sally Ride | Ion Thruster | Thermal Shield | Right Handed Watch | Cosmic Red Trim | Water Mist |
| Kalpana Chawla | Plasma Torch | Thermal Shield | Right Handed Watch | Solar Yellow Trim | Foam Spray |
| Michael Collins | Gravity Boots | Signal Jammer | Right Handed Watch | Neon Blue Trim | Water Mist |
| Buzz Aldrin | EMP Grenade | Stealth Cloak | Left Handed Watch | Solar Yellow Trim | Foam Spray |
| Alan Shepard | EMP Grenade | Signal Jammer | Left Handed Watch | Solar Yellow Trim | Foam Spray |
| Carl Sagan | Plasma Torch | Thermal Shield | Left Handed Watch | Neon Blue Trim | Water Mist |
| Hakeem Oluseyi | Gravity Boots | Hack Tool | Right Handed Watch | Solar Yellow Trim | Magnet Lock |
| Nancy Roman | Laser Cutter | Hack Tool | Left Handed Watch | Cosmic Red Trim | Water Mist |
| Kip Thorne | Gravity Boots | Stealth Cloak | Left Handed Watch | Neon Blue Trim | Magnet Lock |
| Ellen Ochoa | Plasma Torch | Signal Jammer | Left Handed Watch | Neon Blue Trim | Foam Spray |
| Victor Glover | Plasma Torch | Hack Tool | Right Handed Watch | Solar Yellow Trim | Magnet Lock |
Place value
A security log recorded a digital passcode entry where digit placement reveals the gear code.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
Integers
Thermal sensors tracked altitude and temperature shifts below zero to pinpoint the target bay.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
Percentages
The life support console displayed battery drain percentages during the power surge.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
Order of operations
An automated diagnostic routine ran a multistep formula to calculate power distribution.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
Two-step equations — the last clue
The station AI set up a balance equation between oxygen production and usage to isolate the discrepancy.
First solve each problem. Then find each answer in the list below and cross that sentence out. One sentence will be left — that's exactly what the villain did!
Name the culprit
Choose the one suspect left standing.
Answer Key — The Lunar Base Sabotage
- Clue 1 (Place value): "THE SABOTEUR DOES NOT USE A STEALTH CLOAK"What is the value of the 4 in 909,455? = 400 (T) · What is the value of the 5 in 701,541? = 500 (C) · What is the value of the 8 in 457,283? = 80 (S) · What is the value of the 2 in 72,335? = 2000 (D) · What is the value of the 6 in 875,651? = 600 (R) · What is the value of the 4 in 658,246? = 40 (O) · What is the value of the 1 in 751,329? = 1000 (K) · What is the value of the 1 in 72,189? = 100 (L) · What is the value of the 4 in 14,786? = 4000 (N) · What is the value of the 5 in 25,409? = 5000 (E) · What is the value of the 6 in 970,565? = 60 (A) · What is the value of the 7 in 48,072? = 70 (B) · What is the value of the 3 in 793,998? = 3000 (H) · What is the value of the 9 in 18,972? = 900 (U)
- Clue 2 (Integers): "THE SUSPECT WORE A WATCH ON THE RIGHT WRIST"2 - (-2) = 4 (T) · 24 - (-4) = 28 (H) · 12 - (-1) = 13 (R) · 16 - (-8) = 24 (U) · (-6) + 8 = 2 (E) · (-10) + 20 = 10 (C) · (-8) + 11 = 3 (G) · (-6) + 24 = 18 (A) · 16 - (-5) = 21 (I) · (-10) + 21 = 11 (P) · (-8) + 15 = 7 (W) · (-1) + 6 = 5 (N) · (-11) + 23 = 12 (S) · (-11) + 19 = 8 (O)
- Clue 3 (Percentages): "THE SUSPECT WAS HELD BACK BY WATER MIST"50% of 62 = 31 (T) · 10% of 230 = 23 (K) · 20% of 235 = 47 (P) · 20% of 175 = 35 (D) · 5% of 580 = 29 (H) · 25% of 228 = 57 (S) · 20% of 35 = 7 (A) · 50% of 80 = 40 (M) · 50% of 106 = 53 (C) · 10% of 100 = 10 (B) · 10% of 210 = 21 (U) · 50% of 118 = 59 (I) · 10% of 50 = 5 (R) · 25% of 200 = 50 (L) · 10% of 540 = 54 (Y) · 10% of 450 = 45 (E) · 10% of 370 = 37 (W)
- Clue 4 (Order of operations): "SUIT SCRAPS HAD NEON BLUE TRIM"97 + 5 × 2 = 107 (S) · 9 × 10 - 25 = 65 (N) · 11 × 11 - 18 = 103 (O) · 4 × 7 - 16 = 12 (P) · 8 × 5 - 4 = 36 (M) · 7 × 10 - 20 = 50 (A) · 10 × 10 - 9 = 91 (T) · 78 + 4 × 9 = 114 (U) · 5 + 2 × 3 = 11 (R) · 15 + 7 × 9 = 78 (H) · 30 + 8 × 8 = 94 (C) · 9 × 10 - 6 = 84 (L) · 7 × 10 - 13 = 57 (D) · 9 + 8 × 2 = 25 (E) · 7 × 8 - 13 = 43 (B) · 65 + 2 × 6 = 77 (I)
- Clue 5 (Two-step equations): surviving statement (box 8) → Michael Collins6x + 1 = 7, x = 1 · 2x + 4 = 14, x = 5 · 2x + 9 = 13, x = 2 · 2x + 4 = 12, x = 4 · 5x + 8 = 53, x = 9 · 4x + 5 = 49, x = 11 · 2x + 2 = 22, x = 10 · 3x + 7 = 28, x = 7 · 3x + 3 = 12, x = 3 · 6x + 2 = 38, x = 6 · 4x + 9 = 57, x = 12
About this mystery
- Grade level
- Grade 7 math
- Math topics
- Place value, Integers, Percentages, Order of operations, Two-step equations
- Reading level
- grades 7-9
- Theme
- The Lunar Base Sabotage — set in Lunar Outpost Alpha
- Format
- Interactive online & printable worksheet with answer key
- Solution
- One unique, verified culprit among 21 suspects
