Math Crackers
🔎 GhostsGrade 5Reading: grades 5-6MultiplicationWord problemsFractions of a numberOrder of operationsDivision

The Case of the Missing Phantom Tome

Someone has snuck into the restricted archives of the Phantom Manor Academy and stolen the legendary Whispering Ledger! The suspect is one of our 24 student spirits or trainee hunters. We need to analyze the spooky residue left behind to find the thief before the midnight bell tolls.

Suspects

Possible suspects

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

21 of 21 still in play
NameGhostly ActionEerie TrickSpark HandednessEcto Mist ColorGhost Trap Tool
Bella WraithPossess Suit of ArmorFlicker Candle FlamesLeft-Handed SparksNeon Green GlowUltra Violet Light
WendyRattle Old ChainsCreate Eerie EchoesRight-Handed SparksEcto Blue MistPoltergeist Vacuum
Gideon GravesRattle Old ChainsHaunt Grand PianosLeft-Handed SparksSpooky Silver MistSalt Circle Dust
Specter SamPossess Suit of ArmorHaunt Grand PianosRight-Handed SparksNeon Green GlowUltra Violet Light
Mystic MollyLevitate BookcasesCreate Eerie EchoesLeft-Handed SparksEcto Blue MistPoltergeist Vacuum
Ray StantzPhase Through WallsHaunt Grand PianosLeft-Handed SparksSpooky Silver MistSalt Circle Dust
Banshee BillyLevitate BookcasesHaunt Grand PianosLeft-Handed SparksEcto Blue MistPoltergeist Vacuum
Phantom PipChill the AirCreate Eerie EchoesRight-Handed SparksNeon Green GlowPoltergeist Vacuum
Sir SimonPhase Through WallsSummon Glow-bugsLeft-Handed SparksEcto Blue MistPoltergeist Vacuum
Ghostly GabeChill the AirFlicker Candle FlamesLeft-Handed SparksSpooky Silver MistSalt Circle Dust
Egon SpenglerChill the AirTangle Dusty CurtainsRight-Handed SparksSpooky Silver MistSalt Circle Dust
Peter VenkmanPhase Through WallsSummon Glow-bugsLeft-Handed SparksNeon Green GlowPoltergeist Vacuum
Haunting HarveyChill the AirSummon Glow-bugsRight-Handed SparksSpooky Silver MistPoltergeist Vacuum
Eerie ErniePossess Suit of ArmorTangle Dusty CurtainsRight-Handed SparksEcto Blue MistPoltergeist Vacuum
Penny DreadfulLevitate BookcasesSummon Glow-bugsRight-Handed SparksSpooky Silver MistSalt Circle Dust
CasperChill the AirCreate Eerie EchoesRight-Handed SparksEcto Blue MistSalt Circle Dust
MyrtleRattle Old ChainsSummon Glow-bugsRight-Handed SparksSpooky Silver MistSalt Circle Dust
Winston ZeddemoreLevitate BookcasesHaunt Grand PianosRight-Handed SparksSpooky Silver MistSalt Circle Dust
JasperPossess Suit of ArmorCreate Eerie EchoesRight-Handed SparksSpooky Silver MistPoltergeist Vacuum
Spike ShadowChill the AirSummon Glow-bugsRight-Handed SparksSpooky Silver MistSalt Circle Dust
Polly GeistPossess Suit of ArmorTangle Dusty CurtainsRight-Handed SparksNeon Green GlowSalt Circle Dust
Clue 1

Multiplication facts (1-12)

We find a spectral grid of glowing runes left behind in the dust. The runes are arranged in tidy rows and columns. Multiply the rows by the columns to count the total runes and decipher this first clue.

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
64
7
36
21
24
10
11
36
4
40
33
21
33
T
64
18
27
20
20
24
T
64
T
64
27
20
10
60
36
2
11
4
T
64
28
18
11
21
T
64
27
33
20
4
8 × 8 =T
12 × 2 =O
7 × 4 =Y
3 × 11 =I
2 × 10 =N
3 × 7 =R
9 × 4 =E
1 × 10 =G
1 × 7 =H
2 × 1 =D
8 × 5 =P
3 × 9 =A
6 × 10 =L
9 × 2 =C
11 × 1 =U
4 × 1 =S
0/16 letters found
Clue 2

Word problems

Our ectoplasm scanner registers a tricky word puzzle carved into the banister. Solve the word problem to calibrate the scanner lenses and read the hidden message.

Solve each problem to learn its letter, then write the letters in the boxes to fill in the missing word.

Awitnesssawthevillainwas
R
38
63
107
42
99
42
89
47
D
 
E
 
D
 
S
 
P
 
89
R
38
K
 
S
 
.
There were 75 spooky lanterns. 37 were used up. How many spooky lanterns are left?R
Ghost Hunter Cadet lined up 6 rows of 7 glowing orbs. How many glowing orbs in all?H
There were 132 spirit traps. 33 were used up. How many spirit traps are left?T
Ghost Hunter Cadet found 41 glowing orbs yesterday and 6 more today. How many glowing orbs in all?N
Ghost Hunter Cadet found 66 glowing orbs yesterday and 41 more today. How many glowing orbs in all?G
Ghost Hunter Cadet found 48 ectoplasm jars yesterday and 41 more today. How many ectoplasm jars in all?A
There were 89 spirit traps. 26 were used up. How many spirit traps are left?I
0/7 letters found
Clue 3

Fractions of a number

A jar of glowing spirit beads was knocked over during the escape. Only a fraction of the beads still glow in the dark. Calculate that fraction of the total beads to find the suspect's energy trail.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

S
23
26
5
19
13
2
24
13
5
9
25
14
S
23
19
25
24
2
27
19
9
25
27
24
39
33
19
38
9
13
26
17
9
2/6 of 69 =S
1/5 of 125 =D
1/2 of 26 =C
4/8 of 10 =L
3/10 of 130 =O
1/10 of 190 =T
1/4 of 104 =A
2/4 of 54 =F
1/6 of 54 =E
1/4 of 8 =I
1/5 of 85 =P
1/3 of 72 =R
1/4 of 152 =H
3/10 of 110 =M
4/8 of 28 =U
0/15 letters found
Clue 4

Order of operations

To unlock the library vault door where the thief fled, we must enter the correct code. Solve the multi-step equation using the proper order of operations to crack the seal.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

S
34
60
12
12
37
73
S
34
14
26
35
24
65
75
14
S
34
67
8
12
20
20
26
24
S
34
67
12
9
24
S
34
S
34
72
14
9
24
18
9 + 5 × 5 =S
63 + 3 × 4 =M
6 + 6 × 3 =E
22 + 2 × 2 =L
4 + 5 × 2 =I
9 × 8 - 5 =T
3 × 10 - 22 =C
7 × 3 - 9 =O
26 + 3 × 3 =V
9 × 8 - 12 =P
59 + 2 × 3 =R
5 + 2 × 2 =N
2 + 4 × 4 =D
19 + 6 × 3 =K
6 × 5 - 10 =B
9 × 10 - 17 =Y
47 + 5 × 5 =H
0/17 letters found
Clue 5

Division facts (1-12) — the last clue

We find a stash of peppermint candies left behind on the table. Divide them equally among our five ghost-hunting traps to power them up and reveal the final clue.

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
6 ÷ 3 = ?
72 ÷ 6 = ?
3 ÷ 3 = ?
56 ÷ 8 = ?
8 ÷ 1 = ?
110 ÷ 11 = ?
9 ÷ 3 = ?
90 ÷ 10 = ?
16 ÷ 4 = ?
30 ÷ 5 = ?
22 ÷ 2 = ?
Step 2 — cross out the sentence with each answer
1.The villain chilled the air down to freezing, then summoned floating green glow-bugs.
2.The villain levitated heavy mahogany bookcases, then summoned floating green glow-bugs.
3.The villain possessed a dusty suit of armor, then tangled the velvet library curtains.
4.The villain phased through the library brick walls, then summoned floating green glow-bugs.
5.The villain levitated heavy mahogany bookcases, then haunted the antique grand piano.
6.The villain levitated heavy mahogany bookcases, then created deep eerie echoes in the hall.
7.The villain chilled the air down to freezing, then created deep eerie echoes in the hall.
8.The villain levitated heavy mahogany bookcases, then tangled the velvet library curtains.
9.The villain chilled the air down to freezing, then haunted the antique grand piano.
10.The villain possessed a dusty suit of armor, then haunted the antique grand piano.
11.The villain chilled the air down to freezing, then flickered the flickering candle flames.
12.The villain rattled rusty iron chains downstairs, then summoned floating green glow-bugs.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 5 math
Math topics
Multiplication, Word problems, Fractions of a number, Order of operations, Division
Reading level
grades 5-6
Theme
The Case of the Missing Phantom Tome — set in The Phantom Manor Academy library
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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