🐉 DragonsGrade 10Reading: grades 7-9Pythagorean theoremSquare rootsExponentsOrder of operations
The Pyralis Dragon Egg Mystery
A glowing golden dragon egg has been stolen from the high nesting towers of Pyralis Academy! The thief left behind traces of dragon magic and mysterious clues. As the lead student detective, you must analyze the flight paths, scales, and riding gear to identify the culprit before the egg hatches.
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 | Signature Breath | Dragon Class | Glove Preference | Saddle Crest Color | Distraction Toy |
|---|---|---|---|---|---|
| Valka Hofferson | Acid Spit | Boulder Class | Right Handed Glove | Obsidian Black Crest | Copper Whistle |
| Eret Son of Eret | Acid Spit | Boulder Class | Left Handed Glove | Ruby Red Crest | Copper Whistle |
| Daenerys Targaryen | Acid Spit | Stoker Class | Right Handed Glove | Ruby Red Crest | Copper Whistle |
| Zephyr Storm | Acid Spit | Mystery Class | Left Handed Glove | Ruby Red Crest | Squeaky Sheep Toy |
| Drake Burnwell | Magma Splash | Mystery Class | Right Handed Glove | Emerald Green Crest | Squeaky Sheep Toy |
| Rhaegar Targaryen | Magma Splash | Stoker Class | Right Handed Glove | Emerald Green Crest | Squeaky Sheep Toy |
| Claudia of Katolis | Acid Spit | Boulder Class | Right Handed Glove | Emerald Green Crest | Copper Whistle |
| Astrid Hofferson | Magma Splash | Boulder Class | Right Handed Glove | Emerald Green Crest | Squeaky Sheep Toy |
| Ember Ashwood | Acid Spit | Strike Class | Right Handed Glove | Emerald Green Crest | Copper Whistle |
| Aegon Targaryen | Frost Beam | Tracker Class | Right Handed Glove | Ruby Red Crest | Copper Whistle |
| Gobber Belch | Frost Beam | Tracker Class | Right Handed Glove | Emerald Green Crest | Copper Whistle |
| Cinder Skyshadow | Magma Splash | Stoker Class | Right Handed Glove | Emerald Green Crest | Copper Whistle |
| Kaelen Drake | Lightning Arc | Strike Class | Left Handed Glove | Obsidian Black Crest | Squeaky Sheep Toy |
| Eragon Shadeslayer | Magma Splash | Strike Class | Right Handed Glove | Emerald Green Crest | Squeaky Sheep Toy |
| Ezran of Katolis | Lightning Arc | Stoker Class | Right Handed Glove | Ruby Red Crest | Copper Whistle |
| Callum of Katolis | Magma Splash | Stoker Class | Left Handed Glove | Obsidian Black Crest | Glow Moss Ball |
| Soren of Katolis | Acid Spit | Stoker Class | Left Handed Glove | Emerald Green Crest | Copper Whistle |
| Ryker Grimborn | Lightning Arc | Strike Class | Left Handed Glove | Emerald Green Crest | Copper Whistle |
| Rayla of Xadia | Lightning Arc | Mystery Class | Left Handed Glove | Emerald Green Crest | Glow Moss Ball |
| Garrick Firestone | Acid Spit | Mystery Class | Left Handed Glove | Emerald Green Crest | Copper Whistle |
| Viserys Targaryen | Magma Splash | Mystery Class | Right Handed Glove | Emerald Green Crest | Copper Whistle |
Clue 1
Pythagorean theorem
We map the diagonal path the thief took from the high roost to the gate using two perpendicular corridors.
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
10
20
123
T
10
20
116
123
85
111
41
123
39
40
41
T
10
26
116
111
123
13
T
10
26
13
58
68
123
26
58
82
13
39
39
111
26
13
37
41
40
legs 6 and 8, hypotenuse =T
legs 12 and 35, hypotenuse =G
legs 80 and 84, hypotenuse =I
legs 32 and 60, hypotenuse =K
legs 5 and 12, hypotenuse =A
legs 10 and 24, hypotenuse =R
legs 9 and 40, hypotenuse =O
legs 15 and 36, hypotenuse =S
legs 27 and 120, hypotenuse =E
legs 24 and 32, hypotenuse =N
legs 40 and 42, hypotenuse =C
legs 12 and 16, hypotenuse =H
legs 18 and 80, hypotenuse =L
legs 36 and 105, hypotenuse =D
legs 40 and 75, hypotenuse =F
0/15 letters found
Clue 2
Square roots
To find where the thief hid, we calculate the wall length of the square dragon pen using its total area.
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
4
18
21
20
9
20
12
21
17
T
4
25
21
11
23
20
11
23
16
8
18
T
4
18
11
6
24
21
24
8
15
3
7
21
sqrt(16) =T
sqrt(64) =G
sqrt(36) =N
sqrt(400) =S
sqrt(441) =E
sqrt(144) =P
sqrt(49) =V
sqrt(121) =A
sqrt(324) =H
sqrt(289) =C
sqrt(529) =R
sqrt(576) =D
sqrt(225) =L
sqrt(625) =W
sqrt(256) =I
sqrt(9) =O
sqrt(81) =U
0/17 letters found
Clue 3
Exponents
The thief used a cloaking spell that doubles in strength every minute, so we calculate its power at hour three.
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
169
243
121
125
125
216
289
8
16
4
144
441
625
216
144
441
121
125
144
441
16
4
144
100
216
A
169
144
441
13^2 =A
4^2 =H
11^2 =O
21^2 =T
5^4 =L
5^3 =P
2^3 =W
17^2 =R
10^2 =B
6^3 =E
2^2 =I
12^2 =S
3^5 =C
0/13 letters found
Clue 4
Order of operations
We calculate the weight of the messy food sacks left behind by solving a multi-step supply equation.
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
48
12
91
24
24
111
84
A
48
11
11
26
24
7
91
24
84
79
20
15
24
7
24
83
A
48
84
26
24
88
79
46
24
104
15
111
11
9 × 6 - 6 =A
12 × 8 - 8 =F
59 + 3 × 8 =W
32 + 7 × 2 =B
55 + 4 × 9 =R
3 × 10 - 19 =D
4 × 7 - 21 =C
8 × 7 - 30 =L
7 + 4 × 2 =I
70 + 7 × 2 =S
10 × 12 - 9 =N
10 + 2 × 7 =E
69 + 7 × 5 =H
71 + 2 × 4 =T
7 × 2 - 2 =G
7 × 4 - 8 =P
0/16 letters found
Clue 5
Square roots — the last clue
A single square rune tile was dropped, and we find its side length by taking the root of its surface area.
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(100) = ?
sqrt(9) = ?
sqrt(144) = ?
sqrt(25) = ?
sqrt(121) = ?
sqrt(64) = ?
sqrt(1) = ?
sqrt(36) = ?
sqrt(16) = ?
sqrt(49) = ?
sqrt(81) = ?
Step 2 — cross out the sentence with each answer
1.The villain creates a pool of magma splash, then bolts into the clouds on a Strike Class dragon.
2.The villain creates a pool of magma splash, then vanishes on a strange Mystery Class dragon.
3.The villain creates a pool of magma splash, then escapes on a fiery Stoker Class beast.
4.The villain shatters the glass with a sonic roar, then bolts into the clouds on a Strike Class dragon.
5.The villain melts the lock with a burst of acid spit, then flies off on a tracking dragon.
6.The villain strikes the ground with a lightning arc, then escapes on a fiery Stoker Class beast.
7.The villain unleashes a freezing frost beam, then flies off on a tracking dragon.
8.The villain shatters the glass with a sonic roar, then flies off on a tracking dragon.
9.The villain strikes the ground with a lightning arc, then soars away on a heavy Boulder Class mount.
10.The villain melts the lock with a burst of acid spit, then bolts into the clouds on a Strike Class dragon.
11.The villain unleashes a freezing frost beam, then vanishes on a strange Mystery Class dragon.
12.The villain melts the lock with a burst of acid spit, then soars away on a heavy Boulder Class mount.
Solve it
Name the culprit
Choose the one suspect left standing.
Answer Key — The Pyralis Dragon Egg Mystery
Culprit: Viserys Targaryen (Magma Splash · Mystery Class · Right Handed Glove · Emerald Green Crest · Copper Whistle)
- Clue 1 (Pythagorean theorem): "THE THIEF DOES NOT RIDE A TRACKER CLASS DRAGON"legs 6 and 8, hypotenuse = 10 (T) · legs 12 and 35, hypotenuse = 37 (G) · legs 80 and 84, hypotenuse = 116 (I) · legs 32 and 60, hypotenuse = 68 (K) · legs 5 and 12, hypotenuse = 13 (A) · legs 10 and 24, hypotenuse = 26 (R) · legs 9 and 40, hypotenuse = 41 (O) · legs 15 and 36, hypotenuse = 39 (S) · legs 27 and 120, hypotenuse = 123 (E) · legs 24 and 32, hypotenuse = 40 (N) · legs 40 and 42, hypotenuse = 58 (C) · legs 12 and 16, hypotenuse = 20 (H) · legs 18 and 80, hypotenuse = 82 (L) · legs 36 and 105, hypotenuse = 111 (D) · legs 40 and 75, hypotenuse = 85 (F)
- Clue 2 (Square roots): "THE SUSPECT WEARS A RIGHT HANDED GLOVE"sqrt(16) = 4 (T) · sqrt(64) = 8 (G) · sqrt(36) = 6 (N) · sqrt(400) = 20 (S) · sqrt(441) = 21 (E) · sqrt(144) = 12 (P) · sqrt(49) = 7 (V) · sqrt(121) = 11 (A) · sqrt(324) = 18 (H) · sqrt(289) = 17 (C) · sqrt(529) = 23 (R) · sqrt(576) = 24 (D) · sqrt(225) = 15 (L) · sqrt(625) = 25 (W) · sqrt(256) = 16 (I) · sqrt(9) = 3 (O) · sqrt(81) = 9 (U)
- Clue 3 (Exponents): "A COPPER WHISTLE STOPS THIS BEAST"13^2 = 169 (A) · 4^2 = 16 (H) · 11^2 = 121 (O) · 21^2 = 441 (T) · 5^4 = 625 (L) · 5^3 = 125 (P) · 2^3 = 8 (W) · 17^2 = 289 (R) · 10^2 = 100 (B) · 6^3 = 216 (E) · 2^2 = 4 (I) · 12^2 = 144 (S) · 3^5 = 243 (C)
- Clue 4 (Order of operations): "A GREEN SADDLE CREST PIECE WAS LEFT BEHIND"9 × 6 - 6 = 48 (A) · 12 × 8 - 8 = 88 (F) · 59 + 3 × 8 = 83 (W) · 32 + 7 × 2 = 46 (B) · 55 + 4 × 9 = 91 (R) · 3 × 10 - 19 = 11 (D) · 4 × 7 - 21 = 7 (C) · 8 × 7 - 30 = 26 (L) · 7 + 4 × 2 = 15 (I) · 70 + 7 × 2 = 84 (S) · 10 × 12 - 9 = 111 (N) · 10 + 2 × 7 = 24 (E) · 69 + 7 × 5 = 104 (H) · 71 + 2 × 4 = 79 (T) · 7 × 2 - 2 = 12 (G) · 7 × 4 - 8 = 20 (P)
- Clue 5 (Square roots): surviving statement (box 2) → Viserys Targaryensqrt(100) = 10 · sqrt(9) = 3 · sqrt(144) = 12 · sqrt(25) = 5 · sqrt(121) = 11 · sqrt(64) = 8 · sqrt(1) = 1 · sqrt(36) = 6 · sqrt(16) = 4 · sqrt(49) = 7 · sqrt(81) = 9
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 Pyralis Dragon Egg Mystery — set in The Dragon Academy of Pyralis
- Format
- Interactive online & printable worksheet with answer key
- Solution
- One unique, verified culprit among 21 suspects