Math Mysteries
🐶 DogsGrade 10Reading: grades 7-9Pythagorean theoremBar modelsSquare rootsExponentsDivision

The Great Barkminster Heist

The prestigious Golden Bone Trophy has been stolen right from the central podium just before the Best in Show announcement! A trail of muddy pawprints and discarded chew toys leads away from the scene. It is up to you to crack the case, identify the Rogue Showdog, and retrieve the championship trophy.

Suspects

Possible suspects

Cross off a row as each clue rules it out. On screen, tap a row.

21 of 21 still in play
NameSignature TrickScent SpecializationLead PawCoat ColorDistraction Toy
PerditaDouble SpinPeppermint DetectionLeft Paw DominantSnowy WhiteBouncing Tennis Ball
HachikoDouble SpinVanilla LocatingRight Paw DominantMidnight BlackBouncing Tennis Ball
TotoTriple HurdleCinnamon HuntingLeft Paw DominantGolden BrindleSqueaky Hedgehog
BlueSilent VaultAniseed TrackingLeft Paw DominantMidnight BlackBouncing Tennis Ball
TrampBackflip CatchCinnamon HuntingLeft Paw DominantGolden BrindleBouncing Tennis Ball
Winn-DixieBackflip CatchAniseed TrackingLeft Paw DominantGolden BrindleBouncing Tennis Ball
ScoobyHigh-Speed SlalomLavender SensingRight Paw DominantGolden BrindleSqueaky Hedgehog
PongoTriple HurdleLavender SensingRight Paw DominantMidnight BlackCrinkly Duck
SnoopyTriple HurdleVanilla LocatingLeft Paw DominantMidnight BlackSqueaky Hedgehog
CliffordSilent VaultLavender SensingLeft Paw DominantGolden BrindleBouncing Tennis Ball
ShilohTriple HurdleVanilla LocatingLeft Paw DominantSnowy WhiteBouncing Tennis Ball
SlinkyBackflip CatchVanilla LocatingRight Paw DominantMidnight BlackCrinkly Duck
LadyDouble SpinVanilla LocatingLeft Paw DominantMidnight BlackCrinkly Duck
WishboneHigh-Speed SlalomAniseed TrackingRight Paw DominantMidnight BlackBouncing Tennis Ball
BaltoSilent VaultCinnamon HuntingLeft Paw DominantMidnight BlackBouncing Tennis Ball
DugTriple HurdleVanilla LocatingLeft Paw DominantMidnight BlackBouncing Tennis Ball
OdieTriple HurdleLavender SensingLeft Paw DominantMidnight BlackBouncing Tennis Ball
BuddyDouble SpinLavender SensingLeft Paw DominantMidnight BlackBouncing Tennis Ball
MarleySilent VaultVanilla LocatingLeft Paw DominantGolden BrindleSqueaky Hedgehog
CopperTriple HurdleCinnamon HuntingLeft Paw DominantGolden BrindleCrinkly Duck
NanaTriple HurdleAniseed TrackingLeft Paw DominantGolden BrindleBouncing Tennis Ball
Clue 1

Pythagorean theorem

We analyze the layout of the grooming tent. By setting up a bar model comparing the weights of grooming bags to the missing trophy, we determine our first clue about the thief's scent specialty.

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
37
58
20
T
37
58
26
20
75
116
29
20
87
25
29
T
37
87
20
20
123
15
26
25
25
13
52
29
25
legs 12 and 35, hypotenuse =T
legs 20 and 48, hypotenuse =M
legs 5 and 12, hypotenuse =A
legs 12 and 16, hypotenuse =E
legs 80 and 84, hypotenuse =D
legs 10 and 24, hypotenuse =I
legs 21 and 72, hypotenuse =F
legs 9 and 12, hypotenuse =C
legs 60 and 63, hypotenuse =S
legs 20 and 21, hypotenuse =O
legs 15 and 20, hypotenuse =N
legs 40 and 42, hypotenuse =H
legs 27 and 120, hypotenuse =K
0/13 letters found
Clue 2

Bar model word problems

The security team spots a diagonal trail of treats from the podium to the doggy door. Using the Pythagorean theorem to calculate the exact straight-line distance reveals the villain's dominant paw.

Draw a bar model to solve each word problem. Its answer reveals a letter — write the letters in the boxes to fill in the missing word.

Awitnesssawthevillainwas
L
22
13
32
89
121
78
107
D
 
O
 
M
 
I
 
N
 
78
N
 
89
.
There were 23 dog treats in all. 1 dog treats were used. How many dog treats are left?
draw a bar model
Answer:→L
Agility Trainer shares 224 dog treats equally among 7 teams. How many dog treats does each team get?
draw a bar model
Answer:→F
The red team has 114 agility cones and the blue team has 7 agility cones. How many more agility cones does the red team have?
draw a bar model
Answer:→W
Agility Trainer shares 234 tennis balls equally among 3 teams. How many tennis balls does each team get?
draw a bar model
Answer:→A
One group collected 67 squeaky bones and another group collected 22 squeaky bones. How many squeaky bones in all?
draw a bar model
Answer:→T
One group collected 10 agility cones and another group collected 3 agility cones. How many agility cones in all?
draw a bar model
Answer:→E
The red team has 127 dog treats and the blue team has 6 dog treats. How many more dog treats does the red team have?
draw a bar model
Answer:→P
0/7 letters found
Clue 3

Square roots

We discover a perfectly square grid of puppy agility training pads on the field. Taking the square root of the total area points us directly to the scent track containing stray fur fibers.

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
14
12
8
15
7
4
T
14
5
23
23
10
20
2
4
11
11
T
14
15
T
14
8
4
16
T
14
12
5
24
15
5
sqrt(196) =T
sqrt(25) =E
sqrt(529) =N
sqrt(576) =F
sqrt(225) =O
sqrt(49) =W
sqrt(16) =A
sqrt(100) =I
sqrt(4) =B
sqrt(400) =S
sqrt(256) =P
sqrt(144) =H
sqrt(121) =L
sqrt(64) =R
0/14 letters found
Clue 4

Exponents

The thief left behind a digital collar lock that doubles its security code complexity with every incorrect attempt. Calculating the exponential growth of the lock's patterns cracks the code and reveals the villain's favorite toy.

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
81
32
361
512
243
8
49
125
128
49
8
128
64
289
16
196
9
441
144
225
361
243
484
512
8
16
289
32
484
243
64
3^4 =W
12^2 =C
15^2 =K
2^5 =E
4^2 =T
7^2 =D
2^7 =I
4^3 =G
3^5 =U
3^2 =L
2^3 =N
21^2 =A
5^3 =M
14^2 =B
19^2 =F
2^9 =O
17^2 =H
22^2 =R
0/18 letters found
Clue 5

Division facts (1-12) — the last clue

We find a stash of stolen treats hidden behind the grandstands. Dividing the treats equally among the local search dogs helps us clear the final suspect and isolate the culprit.

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
11 ÷ 1 = ?
16 ÷ 8 = ?
18 ÷ 2 = ?
30 ÷ 10 = ?
24 ÷ 6 = ?
1 ÷ 1 = ?
10 ÷ 1 = ?
20 ÷ 4 = ?
77 ÷ 11 = ?
54 ÷ 9 = ?
132 ÷ 11 = ?
Step 2 — cross out the sentence with each answer
1.The villain performed a dazzling double spin to confuse the guards, then sniffed out the aniseed trail along the exit path.
2.The villain cleared the high wall with a silent vault, then sniffed out the aniseed trail along the exit path.
3.The villain cleared the high wall with a silent vault, then tracked the sweet aroma of vanilla to the docks.
4.The villain performed a dazzling double spin to confuse the guards, then followed the peppermint trail to the getaway van.
5.The villain leaped clean over the triple hurdle barrier, then used cinnamon scent cues to navigate the dark alley.
6.The villain performed a dazzling double spin to confuse the guards, then tracked the sweet aroma of vanilla to the docks.
7.The villain executed a flawless backflip catch to snatch the prize, then sniffed out the aniseed trail along the exit path.
8.The villain leaped clean over the triple hurdle barrier, then followed a soothing lavender path into the park.
9.The villain leaped clean over the triple hurdle barrier, then tracked the sweet aroma of vanilla to the docks.
10.The villain weaved through the high-speed slalom course to escape, then sniffed out the aniseed trail along the exit path.
11.The villain performed a dazzling double spin to confuse the guards, then followed a soothing lavender path into the park.
12.The villain leaped clean over the triple hurdle barrier, then followed the peppermint trail to the getaway van.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 10 math
Math topics
Pythagorean theorem, Bar models, Square roots, Exponents, Division
Reading level
grades 7-9
Theme
The Great Barkminster Heist — set in The Grand Canine Pavilion
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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