Grade 10Reading: grades 7-9Pythagorean theoremSquare rootsExponentsOrder of operations
The Canopy Island Heist
A rogue explorer has stolen the golden Sky-Map from the Canopy Island vault! The Head Archivist needs your help to track down the suspect before they escape the island on a sea-plane.
Suspects
Possible suspects
Cross off a row as each clue rules it out. On screen, tap a row.
21 of 21 still in play
| Name | Primary Gear | Secondary Gear | Writing Hand | Headwear Fiber | Defense Hazard |
|---|---|---|---|---|---|
| Gertrude Bell | Glider Cloak | Holo-Map | Right-Handed Writer | Dusty Blonde Beanie | Rope Snare |
| Steve Irwin | Laser Compass | Climbing Claws | Right-Handed Writer | Dusty Blonde Beanie | Rope Snare |
| Ernest Shackleton | Grapple Hook | Holo-Map | Left-Handed Writer | Bright Red Cap | Flashlight Beam |
| James Cook | Grapple Hook | Thermal Goggles | Right-Handed Writer | Dusty Blonde Beanie | Rope Snare |
| Charles Darwin | Pulse Scanner | Shock Net | Left-Handed Writer | Dusty Blonde Beanie | Mud Trap |
| Matthew Henson | Sonic Whistle | Shock Net | Right-Handed Writer | Bright Red Cap | Rope Snare |
| Thor Heyerdahl | Sonic Whistle | Holo-Map | Left-Handed Writer | Dark Brown Fedora | Flashlight Beam |
| Edmund Hillary | Sonic Whistle | Climbing Claws | Left-Handed Writer | Dusty Blonde Beanie | Mud Trap |
| Jane Goodall | Sonic Whistle | Thermal Goggles | Left-Handed Writer | Bright Red Cap | Flashlight Beam |
| Sally Ride | Sonic Whistle | Thermal Goggles | Right-Handed Writer | Bright Red Cap | Mud Trap |
| Mary Kingsley | Glider Cloak | Shock Net | Left-Handed Writer | Bright Red Cap | Rope Snare |
| Jacques Cousteau | Sonic Whistle | Climbing Claws | Left-Handed Writer | Dusty Blonde Beanie | Rope Snare |
| Bessie Coleman | Sonic Whistle | Decoy Flare | Right-Handed Writer | Dusty Blonde Beanie | Mud Trap |
| Sacagawea | Sonic Whistle | Shock Net | Right-Handed Writer | Dark Brown Fedora | Rope Snare |
| Robert Peary | Laser Compass | Shock Net | Left-Handed Writer | Dark Brown Fedora | Mud Trap |
| Mae Jemison | Grapple Hook | Shock Net | Right-Handed Writer | Dark Brown Fedora | Flashlight Beam |
| Ranulph Fiennes | Sonic Whistle | Thermal Goggles | Left-Handed Writer | Dark Brown Fedora | Rope Snare |
| Nellie Bly | Sonic Whistle | Shock Net | Left-Handed Writer | Dark Brown Fedora | Mud Trap |
| Amelia Earhart | Sonic Whistle | Decoy Flare | Right-Handed Writer | Dusty Blonde Beanie | Rope Snare |
| Roald Amundsen | Pulse Scanner | Holo-Map | Left-Handed Writer | Bright Red Cap | Flashlight Beam |
| Sylvia Earle | Grapple Hook | Decoy Flare | Right-Handed Writer | Dusty Blonde Beanie | Rope Snare |
Clue 1
Pythagorean theorem
To map the diagonal escape vector from the vault to the jungle canopy, we must calculate the hypotenuse of the suspect's path.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
T
51
65
30
41
37
82
82
29
37
39
58
52
30
111
39
52
T
51
15
29
13
13
74
29
65
52
82
52
50
29
5
legs 24 and 45, hypotenuse =T
legs 24 and 70, hypotenuse =Y
legs 30 and 40, hypotenuse =M
legs 25 and 60, hypotenuse =H
legs 18 and 24, hypotenuse =E
legs 12 and 35, hypotenuse =I
legs 15 and 36, hypotenuse =N
legs 36 and 105, hypotenuse =S
legs 20 and 48, hypotenuse =O
legs 5 and 12, hypotenuse =R
legs 9 and 12, hypotenuse =C
legs 40 and 42, hypotenuse =D
legs 18 and 80, hypotenuse =L
legs 20 and 21, hypotenuse =A
legs 3 and 4, hypotenuse =P
legs 9 and 40, hypotenuse =V
0/16 letters found
Clue 2
Square roots
The security grid has locked down a perfect square-shaped sector of the jungle, and finding the side length reveals the camera logs.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
T
22
5
20
25
9
25
18
20
17
T
22
2
21
13
T
22
20
15
8
13
T
22
20
2
24
T
22
5
T
22
5
20
21
24
6
5
T
22
5
15
8
10
sqrt(484) =T
sqrt(225) =A
sqrt(324) =P
sqrt(169) =O
sqrt(441) =R
sqrt(400) =E
sqrt(64) =N
sqrt(25) =H
sqrt(4) =W
sqrt(289) =C
sqrt(81) =U
sqrt(36) =G
sqrt(576) =I
sqrt(100) =D
sqrt(625) =S
0/15 letters found
Clue 3
Exponents
The backup power vault uses an exponential battery grid, where resolving the power growth levels unlocks the suspect's biometric profile.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
T
625
9
441
25
243
36
216
441
225
125
49
T
625
25
729
343
343
441
289
400
512
125
25
243
343
441
49
324
125
25
441
5^4 =T
7^2 =S
7^3 =P
21^2 =E
6^2 =G
5^3 =A
3^2 =H
2^9 =Y
15^2 =W
6^3 =U
20^2 =B
3^6 =I
5^2 =R
3^5 =O
17^2 =D
18^2 =N
0/16 letters found
Clue 4
Order of operations
To reboot the main security console, you must solve the system overrides in the exact correct mathematical order.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
A
113
98
73
84
92
87
56
31
75
39
98
21
64
53
56
21
104
59
31
73
39
67
92
75
92
46
21
31
A
113
92
59
46
95 + 9 × 2 =A
7 × 8 - 17 =N
10 + 7 × 7 =C
22 + 3 × 3 =L
12 × 7 - 28 =B
10 × 12 - 28 =T
7 × 7 - 3 =H
9 × 4 - 15 =E
9 × 11 - 24 =O
9 × 10 - 23 =G
9 × 10 - 26 =F
38 + 7 × 7 =Y
43 + 2 × 5 =I
9 × 11 - 1 =D
80 + 6 × 4 =R
11 × 10 - 26 =S
7 × 11 - 4 =U
0/17 letters found
Clue 5
Square roots — the last clue
The escape runway's wind-shear array is calculating its safe threshold, requiring us to find the root of the sensor grid.
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!
Step 1 — solve these
sqrt(9) = ?
sqrt(4) = ?
sqrt(1) = ?
sqrt(25) = ?
sqrt(121) = ?
sqrt(36) = ?
sqrt(64) = ?
sqrt(81) = ?
sqrt(16) = ?
sqrt(49) = ?
sqrt(144) = ?
Step 2 — cross out the sentence with each answer
1.The villain blew a sonic whistle to disorient the guard dogs, then tossed a decoy flare to distract the patrol drone.
2.The villain fired a grapple hook to scale the high stone wall, then tossed a decoy flare to distract the patrol drone.
3.The villain fired a grapple hook to scale the high stone wall, then used thermal goggles to navigate the pitch-black vent.
4.The villain deployed a glider cloak to drift down from the balcony, then consulted a holo-map to find the fastest escape route.
5.The villain used a laser compass to cut through the glass dome, then consulted a holo-map to find the fastest escape route.
6.The villain deployed a glider cloak to drift down from the balcony, then tossed a decoy flare to distract the patrol drone.
7.The villain activated a pulse scanner to bypass the lasers, then tossed a decoy flare to distract the patrol drone.
8.The villain blew a sonic whistle to disorient the guard dogs, then shot a shock net to disable the pressure pad.
9.The villain used a laser compass to cut through the glass dome, then shot a shock net to disable the pressure pad.
10.The villain used a laser compass to cut through the glass dome, then equipped climbing claws to scramble over the security fence.
11.The villain fired a grapple hook to scale the high stone wall, then shot a shock net to disable the pressure pad.
12.The villain blew a sonic whistle to disorient the guard dogs, then equipped climbing claws to scramble over the security fence.
Solve it
Name the culprit
Choose the one suspect left standing.
Answer Key — The Canopy Island Heist
Culprit: Steve Irwin (Laser Compass · Climbing Claws · Right-Handed Writer · Dusty Blonde Beanie · Rope Snare)
- Clue 1 (Pythagorean theorem): "THE VILLAIN DOES NOT CARRY A HOLO MAP"legs 24 and 45, hypotenuse = 51 (T) · legs 24 and 70, hypotenuse = 74 (Y) · legs 30 and 40, hypotenuse = 50 (M) · legs 25 and 60, hypotenuse = 65 (H) · legs 18 and 24, hypotenuse = 30 (E) · legs 12 and 35, hypotenuse = 37 (I) · legs 15 and 36, hypotenuse = 39 (N) · legs 36 and 105, hypotenuse = 111 (S) · legs 20 and 48, hypotenuse = 52 (O) · legs 5 and 12, hypotenuse = 13 (R) · legs 9 and 12, hypotenuse = 15 (C) · legs 40 and 42, hypotenuse = 58 (D) · legs 18 and 80, hypotenuse = 82 (L) · legs 20 and 21, hypotenuse = 29 (A) · legs 3 and 4, hypotenuse = 5 (P) · legs 9 and 40, hypotenuse = 41 (V)
- Clue 2 (Square roots): "THE SUSPECT WROTE A NOTE WITH THE RIGHT HAND"sqrt(484) = 22 (T) · sqrt(225) = 15 (A) · sqrt(324) = 18 (P) · sqrt(169) = 13 (O) · sqrt(441) = 21 (R) · sqrt(400) = 20 (E) · sqrt(64) = 8 (N) · sqrt(25) = 5 (H) · sqrt(4) = 2 (W) · sqrt(289) = 17 (C) · sqrt(81) = 9 (U) · sqrt(36) = 6 (G) · sqrt(576) = 24 (I) · sqrt(100) = 10 (D) · sqrt(625) = 25 (S)
- Clue 3 (Exponents): "THE ROGUE WAS TRIPPED BY A ROPE SNARE"5^4 = 625 (T) · 7^2 = 49 (S) · 7^3 = 343 (P) · 21^2 = 441 (E) · 6^2 = 36 (G) · 5^3 = 125 (A) · 3^2 = 9 (H) · 2^9 = 512 (Y) · 15^2 = 225 (W) · 6^3 = 216 (U) · 20^2 = 400 (B) · 3^6 = 729 (I) · 5^2 = 25 (R) · 3^5 = 243 (O) · 17^2 = 289 (D) · 18^2 = 324 (N)
- Clue 4 (Order of operations): "A DUSTY BLONDE FIBER CLUNG TO THE LATCH"95 + 9 × 2 = 113 (A) · 7 × 8 - 17 = 39 (N) · 10 + 7 × 7 = 59 (C) · 22 + 3 × 3 = 31 (L) · 12 × 7 - 28 = 56 (B) · 10 × 12 - 28 = 92 (T) · 7 × 7 - 3 = 46 (H) · 9 × 4 - 15 = 21 (E) · 9 × 11 - 24 = 75 (O) · 9 × 10 - 23 = 67 (G) · 9 × 10 - 26 = 64 (F) · 38 + 7 × 7 = 87 (Y) · 43 + 2 × 5 = 53 (I) · 9 × 11 - 1 = 98 (D) · 80 + 6 × 4 = 104 (R) · 11 × 10 - 26 = 84 (S) · 7 × 11 - 4 = 73 (U)
- Clue 5 (Square roots): surviving statement (box 10) → Steve Irwinsqrt(9) = 3 · sqrt(4) = 2 · sqrt(1) = 1 · sqrt(25) = 5 · sqrt(121) = 11 · sqrt(36) = 6 · sqrt(64) = 8 · sqrt(81) = 9 · sqrt(16) = 4 · sqrt(49) = 7 · sqrt(144) = 12
About this mystery
- Grade level
- Grade 10 math
- Math topics
- Pythagorean theorem, Square roots, Exponents, Order of operations
- Reading level
- grades 7-9
- Theme
- The Canopy Island Heist — set in The Explorer's Guild Academy on Canopy Island
- Format
- Interactive online & printable worksheet with answer key
- Solution
- One unique, verified culprit among 21 suspects