Math Mysteries
🌊 MermaidsGrade 7Reading: grades 7-9Fractions of a numberBar modelsMultiplicationIntegers

The Case of the Missing Pearl Scepter

The royal vault of Aquaria has been breached! The ancient Pearl Scepter, which keeps the tides in perfect balance, is gone. The Chief Pearl Guardian was found trapped inside a giant sea anemone, pointing toward the deep trenches. The Coral Council has summoned you to analyze the physical traces left behind and identify the rogue tide-weaver before the great oceanic storm is unleashed.

Suspects

Possible suspects

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

21 of 21 still in play
NameMain PowerExtra PowerPhysical TellHair ColorVulnerability
Calypsotide summoningglowing scalesright finned driftcoral pinkcitrus peel
Naidatempest songice breathleft finned driftabalone silverdeep sonar
Thallomarine telepathyice breathleft finned driftkelp greendeep sonar
Rikkimarine telepathymimicryleft finned driftkelp greencitrus peel
Tritonuscoral shapingshadow camouflageleft finned driftcoral pinkcitrus peel
Delphinetide summoningshadow camouflageright finned driftkelp greendeep sonar
Coraliatempest songshadow camouflageright finned driftkelp greenwarm currents
Oceanuscoral shapingglowing scalesleft finned driftabalone silverdeep sonar
Sirenatempest songglowing scalesleft finned driftcoral pinkcitrus peel
Madisonhydrokinesisglowing scalesright finned driftabalone silverwarm currents
Neridacoral shapingice breathleft finned driftcoral pinkwarm currents
Emmacoral shapingglowing scalesleft finned driftkelp greenwarm currents
Undinemarine telepathyglowing scalesleft finned driftabalone silvercitrus peel
Melusinemarine telepathyglowing scalesright finned driftabalone silverwarm currents
Cleohydrokinesisglowing scalesleft finned driftcoral pinkwarm currents
Glaucustempest songmimicryleft finned driftcoral pinkcitrus peel
Chelseamarine telepathymimicryleft finned driftcoral pinkcitrus peel
Murielhydrokinesissonic clickleft finned driftcoral pinkcitrus peel
Tritonhydrokinesismimicryright finned driftabalone silvercitrus peel
Arielhydrokinesisglowing scalesright finned driftkelp greencitrus peel
Marinatide summoningmimicryleft finned driftabalone silvercitrus peel
Clue 1

Fractions of a number

We recovered a damaged manifest from the royal vault where only a fraction of the total pearl tally remains visible.

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
42
59
5
T
42
36
50
28
5
T
42
44
17
5
27
23
17
T
42
18
27
5
27
59
36
44
17
31
29
36
24
17
18
49
35
36
28
5
4/6 of 63 =T
2/6 of 84 =G
4/5 of 55 =D
1/2 of 98 =F
1/6 of 174 =C
4/10 of 90 =A
1/2 of 70 =L
1/4 of 92 =N
2/10 of 85 =O
4/6 of 36 =M
1/4 of 108 =S
1/8 of 144 =U
5/6 of 60 =R
2/8 of 20 =E
4/8 of 118 =H
1/2 of 62 =W
0/16 letters found
Clue 2

Bar model word problems

Our scouts charted the thief's escape velocity using visual grid bars to compare the speed of different ocean currents.

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
88
16
25
89
25
126
115
115
16
23
23
R
 
126
25
89
.
There were 94 sea-glass tokens in all. 6 sea-glass tokens were used. How many sea-glass tokens are left?
draw a bar model
Answer:→L
Reef-scout has 8 times as many starfish medals as a teammate. The teammate has 2 starfish medals. How many starfish medals does reef-scout have?
draw a bar model
Answer:→E
There were 120 kelp bundles in all. 31 kelp bundles were used. How many kelp bundles are left?
draw a bar model
Answer:→T
Reef-scout has 138 clam shells, packed 6 to a bag. How many bags can be filled?
draw a bar model
Answer:→D
Reef-scout shares 200 kelp bundles equally among 8 teams. How many kelp bundles does each team get?
draw a bar model
Answer:→F
One group collected 29 sea-glass tokens and another group collected 97 sea-glass tokens. How many sea-glass tokens in all?
draw a bar model
Answer:→I
There were 146 starfish medals in all. 31 starfish medals were used. How many starfish medals are left?
draw a bar model
Answer:→N
0/7 letters found
Clue 3

Multiplication facts (1-12)

Deep-sea divers discovered rows of discarded oyster shells stacked in perfect formations outside the reef.

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
27
49
1
T
27
48
60
72
1
T
27
24
1
48
42
1
63
36
63
1
48
60
8
40
T
27
T
27
1
60
33
1
45
80
63
36
3 × 9 =T
11 × 3 =L
7 × 7 =H
8 × 3 =W
12 × 4 =A
9 × 7 =N
6 × 12 =G
6 × 10 =R
10 × 8 =O
9 × 5 =M
1 × 8 =B
4 × 9 =S
10 × 4 =I
1 × 1 =E
6 × 7 =K
0/15 letters found
Clue 4

Integers

Thermometer readings from the abyssal plain show rising and falling temperatures as the thief swam 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.

P
26
8
1
23
30
13
8
12
6
13
1
17
10
16
19
27
1
6
30
16
12
16
16
3
7
27
12
13
10
16 - (-10) =P
(-10) + 27 =G
7 - (-1) =I
(-13) + 36 =K
(-2) + 3 =N
(-11) + 41 =H
(-12) + 25 =A
21 - (-6) =O
(-3) + 6 =F
(-15) + 27 =R
(-4) + 10 =T
(-11) + 27 =E
4 - (-6) =L
(-8) + 15 =C
(-9) + 28 =S
0/15 letters found
Clue 5

Fractions of a number — the last clue

The local sea turtles gathered scattered prism stones, but we only have a fraction of their original hoard to study.

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
1/5 of 15 = ?
5/6 of 12 = ?
4/6 of 3 = ?
2/3 of 6 = ?
4/8 of 18 = ?
3/6 of 14 = ?
4/10 of 20 = ?
1/4 of 48 = ?
2/10 of 25 = ?
1/3 of 3 = ?
1/3 of 33 = ?
Step 2 — cross out the sentence with each answer
1.The villain commands a school of reef sharks, then freezes the surrounding warm waters.
2.The villain commands a school of reef sharks, then mimics the song of a nearby whale.
3.The villain manipulates the sea currents, then shatters the oyster shells with a click.
4.The villain manipulates the sea currents, then fades away into the deep shadows.
5.The villain summons a swirling ocean gale, then shatters the oyster shells with a click.
6.The villain summons a swirling ocean gale, then leaves a trail of luminescent bubbles.
7.The villain commands a school of reef sharks, then fades away into the deep shadows.
8.The villain grows a massive coral barrier, then shatters the oyster shells with a click.
9.The villain grows a massive coral barrier, then leaves a trail of luminescent bubbles.
10.The villain summons a swirling ocean gale, then mimics the song of a nearby whale.
11.The villain calls upon a high tidal wave, then mimics the song of a nearby whale.
12.The villain commands a school of reef sharks, then shatters the oyster shells with a click.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 7 math
Math topics
Fractions of a number, Bar models, Multiplication, Integers
Reading level
grades 7-9
Theme
The Case of the Missing Pearl Scepter — set in The Sunken Palace of Aquaria
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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