Grade 10Reading: grades 3-4Pythagorean theoremSquare rootsExponentsOrder of operations
The Cloud Kingdom Caper
A sneaky Sky Rogue has swiped the Golden Propeller from the Grand Airship! We must search the floating docks to find out who did it.
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 | Airship Gear | Secret Gadget | Steering Hand | Goggle Strap | Biggest Fear |
|---|---|---|---|---|---|
| Long John Silver | Stealth Parachute | Smoke Bomb | Left Handed Steerer | Neon Green Strap | Sparkly Confetti |
| Peter Pan | Stealth Parachute | Grappling Hook | Right Handed Steerer | Bright Orange Strap | Sparkly Confetti |
| Phileas Fogg | Turbo Jetpack | Net Launcher | Right Handed Steerer | Sky Blue Strap | Tickle Feathers |
| Lara Croft | Gravity Boots | Flash Grenade | Left Handed Steerer | Sky Blue Strap | Tickle Feathers |
| Captain Hook | Gravity Boots | Net Launcher | Right Handed Steerer | Neon Green Strap | Loud Whistles |
| Marco Polo | Stealth Parachute | Smoke Bomb | Right Handed Steerer | Bright Orange Strap | Sparkly Confetti |
| Sinbad | Gravity Boots | Laser Pointer | Right Handed Steerer | Bright Orange Strap | Tickle Feathers |
| Sly Cooper | Gravity Boots | Flash Grenade | Right Handed Steerer | Bright Orange Strap | Tickle Feathers |
| Indiana Jones | Stealth Parachute | Smoke Bomb | Right Handed Steerer | Sky Blue Strap | Tickle Feathers |
| clueIntros2 | Gravity Boots | Laser Pointer | Left Handed Steerer | Bright Orange Strap | Tickle Feathers |
| Robin Hood | Turbo Jetpack | Laser Pointer | Right Handed Steerer | Sky Blue Strap | Tickle Feathers |
| Sherlock Holmes | Turbo Jetpack | Grappling Hook | Left Handed Steerer | Sky Blue Strap | Loud Whistles |
| Amelia Earhart | Turbo Jetpack | Grappling Hook | Right Handed Steerer | Bright Orange Strap | Tickle Feathers |
| Jim Hawkins | Wind Glider | Grappling Hook | Left Handed Steerer | Sky Blue Strap | Sparkly Confetti |
| Jacques Cousteau | Gravity Boots | Flash Grenade | Right Handed Steerer | Neon Green Strap | Loud Whistles |
| Nancy Drew | Gravity Boots | Laser Pointer | Right Handed Steerer | Bright Orange Strap | Loud Whistles |
| Annie Oakley | Helicopter Pack | Flash Grenade | Left Handed Steerer | Bright Orange Strap | Loud Whistles |
| Sacagawea | Stealth Parachute | Net Launcher | Right Handed Steerer | Bright Orange Strap | Tickle Feathers |
| Sally Ride | Wind Glider | Smoke Bomb | Left Handed Steerer | Sky Blue Strap | Sparkly Confetti |
| Jack Sparrow | Wind Glider | Flash Grenade | Left Handed Steerer | Bright Orange Strap | Sparkly Confetti |
| Wendy Darling | Wind Glider | Grappling Hook | Right Handed Steerer | Bright Orange Strap | Tickle Feathers |
Clue 1
Pythagorean theorem
We need to measure the shortcut route between two floating docks. Let us use the grid map to calculate the exact distance.
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
116
74
50
111
26
123
82
50
100
26
50
52
20
26
T
116
34
13
111
111
29
13
20
50
T
116
17
13
82
20
34
74
50
111
legs 80 and 84, hypotenuse =T
legs 8 and 15, hypotenuse =L
legs 18 and 80, hypotenuse =U
legs 12 and 16, hypotenuse =N
legs 36 and 105, hypotenuse =R
legs 27 and 120, hypotenuse =G
legs 10 and 24, hypotenuse =O
legs 24 and 70, hypotenuse =H
legs 5 and 12, hypotenuse =A
legs 20 and 21, hypotenuse =Y
legs 16 and 30, hypotenuse =C
legs 20 and 48, hypotenuse =S
legs 28 and 96, hypotenuse =D
legs 14 and 48, hypotenuse =E
0/14 letters found
Clue 2
Square roots
A square cargo container is blocking our path. We need to find its side length to squeeze past.
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
16
15
4
22
12
10
15
T
16
12
20
10
22
22
15
9
7
14
11
12
10
15
T
16
15
14
20
13
4
13
22
T
16
4
4
11
4
11
sqrt(256) =T
sqrt(196) =A
sqrt(484) =S
sqrt(49) =W
sqrt(225) =H
sqrt(169) =D
sqrt(16) =E
sqrt(144) =I
sqrt(121) =R
sqrt(81) =O
sqrt(100) =G
sqrt(400) =N
0/12 letters found
Clue 3
Exponents
The security tower sends out signal pulses that double every second. Let us calculate the power level.
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
128
27
144
121
441
625
125
144
121
256
81
196
121
441
512
T
128
49
216
25
16
144
196
144
256
T
128
27
144
121
169
2^7 =T
13^2 =S
5^2 =K
5^4 =G
4^2 =L
3^3 =H
11^2 =R
16^2 =A
3^4 =N
12^2 =E
14^2 =F
8^3 =M
21^2 =O
6^3 =C
5^3 =U
7^2 =I
0/16 letters found
Clue 4
Order of operations
The door to the cockpit has a golden keypad lock. We must solve the steps in the right order to open it.
Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.
W
113
32
106
31
86
83
64
88
19
74
51
110
65
38
31
74
88
83
110
32
36
38
74
88
62
88
38
38
65
32
36
50
32
83
32
11 × 11 - 8 =W
8 × 12 - 8 =A
10 + 3 × 3 =B
7 × 11 - 15 =P
9 × 8 - 21 =I
17 + 7 × 3 =T
6 × 11 - 16 =C
16 + 2 × 8 =E
9 × 8 - 8 =D
19 + 8 × 8 =N
62 + 3 × 8 =U
8 × 4 - 1 =O
38 + 9 × 8 =G
15 + 7 × 3 =S
53 + 2 × 6 =H
43 + 7 × 9 =F
38 + 9 × 4 =R
0/17 letters found
Clue 5
Square roots — the last clue
The landing pad is a perfect square. We need the length of one side to park our rescue glider safely.
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(81) = ?
sqrt(36) = ?
sqrt(144) = ?
sqrt(16) = ?
sqrt(121) = ?
sqrt(49) = ?
sqrt(1) = ?
sqrt(4) = ?
sqrt(64) = ?
sqrt(9) = ?
sqrt(25) = ?
Step 2 — cross out the sentence with each answer
1.The villain clomps along using gravity boots, then fires a grappling hook to climb high.
2.The villain flies high with a helicopter pack, then throws a flash grenade to blind the guards.
3.The villain zooms past on a turbo jetpack, then shines a laser pointer to distract us.
4.The villain drifts down with a stealth parachute, then drops a smoke bomb to escape.
5.The villain sails quietly with a wind glider, then throws a flash grenade to blind the guards.
6.The villain zooms past on a turbo jetpack, then fires a grappling hook to climb high.
7.The villain clomps along using gravity boots, then drops a smoke bomb to escape.
8.The villain flies high with a helicopter pack, then fires a grappling hook to climb high.
9.The villain clomps along using gravity boots, then throws a flash grenade to blind the guards.
10.The villain clomps along using gravity boots, then shines a laser pointer to distract us.
11.The villain zooms past on a turbo jetpack, then throws a flash grenade to blind the guards.
12.The villain sails quietly with a wind glider, then fires a grappling hook to climb high.
Solve it
Name the culprit
Choose the one suspect left standing.
Answer Key — The Cloud Kingdom Caper
Culprit: Sinbad (Gravity Boots · Laser Pointer · Right Handed Steerer · Bright Orange Strap · Tickle Feathers)
- Clue 1 (Pythagorean theorem): "THE ROGUE DOES NOT CARRY A NET LAUNCHER"legs 80 and 84, hypotenuse = 116 (T) · legs 8 and 15, hypotenuse = 17 (L) · legs 18 and 80, hypotenuse = 82 (U) · legs 12 and 16, hypotenuse = 20 (N) · legs 36 and 105, hypotenuse = 111 (R) · legs 27 and 120, hypotenuse = 123 (G) · legs 10 and 24, hypotenuse = 26 (O) · legs 24 and 70, hypotenuse = 74 (H) · legs 5 and 12, hypotenuse = 13 (A) · legs 20 and 21, hypotenuse = 29 (Y) · legs 16 and 30, hypotenuse = 34 (C) · legs 20 and 48, hypotenuse = 52 (S) · legs 28 and 96, hypotenuse = 100 (D) · legs 14 and 48, hypotenuse = 50 (E)
- Clue 2 (Square roots): "THE SIGHTINGS SHOW A RIGHT HANDED STEERER"sqrt(256) = 16 (T) · sqrt(196) = 14 (A) · sqrt(484) = 22 (S) · sqrt(49) = 7 (W) · sqrt(225) = 15 (H) · sqrt(169) = 13 (D) · sqrt(16) = 4 (E) · sqrt(144) = 12 (I) · sqrt(121) = 11 (R) · sqrt(81) = 9 (O) · sqrt(100) = 10 (G) · sqrt(400) = 20 (N)
- Clue 3 (Exponents): "THE ROGUE RAN FROM TICKLE FEATHERS"2^7 = 128 (T) · 13^2 = 169 (S) · 5^2 = 25 (K) · 5^4 = 625 (G) · 4^2 = 16 (L) · 3^3 = 27 (H) · 11^2 = 121 (R) · 16^2 = 256 (A) · 3^4 = 81 (N) · 12^2 = 144 (E) · 14^2 = 196 (F) · 8^3 = 512 (M) · 21^2 = 441 (O) · 6^3 = 216 (C) · 5^3 = 125 (U) · 7^2 = 49 (I)
- Clue 4 (Order of operations): "WE FOUND A BRIGHT ORANGE STRAP AT THE SCENE"11 × 11 - 8 = 113 (W) · 8 × 12 - 8 = 88 (A) · 10 + 3 × 3 = 19 (B) · 7 × 11 - 15 = 62 (P) · 9 × 8 - 21 = 51 (I) · 17 + 7 × 3 = 38 (T) · 6 × 11 - 16 = 50 (C) · 16 + 2 × 8 = 32 (E) · 9 × 8 - 8 = 64 (D) · 19 + 8 × 8 = 83 (N) · 62 + 3 × 8 = 86 (U) · 8 × 4 - 1 = 31 (O) · 38 + 9 × 8 = 110 (G) · 15 + 7 × 3 = 36 (S) · 53 + 2 × 6 = 65 (H) · 43 + 7 × 9 = 106 (F) · 38 + 9 × 4 = 74 (R)
- Clue 5 (Square roots): surviving statement (box 10) → Sinbadsqrt(81) = 9 · sqrt(36) = 6 · sqrt(144) = 12 · sqrt(16) = 4 · sqrt(121) = 11 · sqrt(49) = 7 · sqrt(1) = 1 · sqrt(4) = 2 · sqrt(64) = 8 · sqrt(9) = 3 · sqrt(25) = 5
About this mystery
- Grade level
- Grade 10 math
- Math topics
- Pythagorean theorem, Square roots, Exponents, Order of operations
- Reading level
- grades 3-4
- Theme
- The Cloud Kingdom Caper — set in the floating docks of Cloud Haven
- Format
- Interactive online & printable worksheet with answer key
- Solution
- One unique, verified culprit among 21 suspects