Math Mysteries
🔎 Harry potterGrade 5Reading: grades 5-6Fractions of a numberMulti-step word problemsOrder of operationsMultiplicationDivision

The Hogwarts Library Mystery

Someone has sneaked into the restricted section of the Hogwarts library and swapped the potion textbooks with singing cookbooks! Madam Pince is furious, and the Gryffindor Prefect has lost their copy of Advanced Potion-Making. You must search the castle, solve the magical equations, and uncover the mischievous spellcaster before the next class begins!

Suspects

Possible suspects

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

21 of 21 still in play
NameHouse SpecializationMagical ArtifactWand HandWand Spark SingeBoggart Form
ColinHerbology CareSneakoscopeRight-handedSinge of Red SparksFear of Spiders
BlaiseDefense SpellsQuick-Quotes QuillRight-handedSinge of Blue SparksFear of Spiders
SeamusDefense SpellsRemembrallLeft-handedSinge of Blue SparksFear of Banshees
PansyCharms CastsQuick-Quotes QuillLeft-handedSinge of Gold SparksFear of Banshees
LavenderPotions MasterySneakoscopeRight-handedSinge of Blue SparksFear of Dementors
PadmaCharms CastsSneakoscopeLeft-handedSinge of Blue SparksFear of Spiders
HarryCharms CastsMarauders MapLeft-handedSinge of Red SparksFear of Dementors
HannahDefense SpellsMarauders MapLeft-handedSinge of Gold SparksFear of Banshees
LunaTransfigurationOmniocularsRight-handedSinge of Blue SparksFear of Banshees
GinnyDefense SpellsMarauders MapLeft-handedSinge of Blue SparksFear of Spiders
HermionePotions MasteryOmniocularsLeft-handedSinge of Gold SparksFear of Dementors
NevilleTransfigurationOmniocularsLeft-handedSinge of Blue SparksFear of Spiders
DracoCharms CastsQuick-Quotes QuillLeft-handedSinge of Blue SparksFear of Spiders
RonPotions MasteryMarauders MapLeft-handedSinge of Blue SparksFear of Dementors
AngelinaHerbology CareRemembrallLeft-handedSinge of Blue SparksFear of Spiders
ParvatiCharms CastsQuick-Quotes QuillLeft-handedSinge of Blue SparksFear of Banshees
GeorgePotions MasteryQuick-Quotes QuillRight-handedSinge of Red SparksFear of Spiders
JustinCharms CastsOmniocularsLeft-handedSinge of Blue SparksFear of Banshees
OliverTransfigurationOmniocularsLeft-handedSinge of Gold SparksFear of Spiders
ChoTransfigurationRemembrallLeft-handedSinge of Red SparksFear of Spiders
KatieCharms CastsSneakoscopeLeft-handedSinge of Blue SparksFear of Dementors
Clue 1

Fractions of a number

To begin your search, you help Hagrid count the runaway Bowtruckles in the Forbidden Forest. He had some in his pockets, lost a few, and then found a nesting group.

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
37
13
19
24
32
30
36
2
T
14
27
16
13
28
18
16
T
14
24
28
13
T
14
37
13
6
10
36
10
24
27
13
36
28
6
10
30
1/2 of 28 =T
6/8 of 24 =N
2/8 of 8 =I
2/6 of 72 =U
1/3 of 48 =O
1/2 of 56 =S
5/10 of 20 =A
2/10 of 95 =C
4/5 of 40 =L
1/5 of 150 =P
5/10 of 74 =H
2/10 of 30 =M
4/8 of 54 =D
1/10 of 130 =E
3/4 of 48 =R
0/15 letters found
Clue 2

Multi-step word problems

In the Herbology greenhouse, Professor Sprout needs to know exactly how many Mandrake pots are ready. Only a fraction of the total batch has fully grown leaves.

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

Awitnesssawthevillainwas
L
46
72
70
20
49
85
84
D
 
72
D
 
.
There were 104 spellbooks in all. 12 spellbooks were set aside. The rest were shared equally among 2 Gryffindor House. How many spellbooks did each get?L
Potion student filled 4 boxes with 7 floo powder bags each, then found 57 more floo powder bags. How many floo powder bags are there in all?A
Potion student earned 8 spellbooks in each of 6 rounds, plus 11 bonus spellbooks. Then 10 spellbooks were lost. How many spellbooks are left?H
There were 158 brass scales in all. 2 Gryffindor House used 29 brass scales each. The other 5 Gryffindor House shared the rest equally. How many brass scales did each of the other Gryffindor House get?T
There were 250 glowing vials in all. 34 glowing vials were set aside. The rest were shared equally among 3 Gryffindor House. How many glowing vials did each get?E
There were 657 glowing vials in all. 27 glowing vials were set aside. The rest were shared equally among 9 Gryffindor House. How many glowing vials did each get?F
There were 504 spellbooks in all. 4 Gryffindor House used 21 spellbooks each. The other 5 Gryffindor House shared the rest equally. How many spellbooks did each of the other Gryffindor House get?N
0/7 letters found
Clue 3

Order of operations

Professor Snape demands you calculate the brewing sequence of a Shrinking Solution. You must solve his strict order of potion stirs and ingredient drops.

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
10
51
44
11
11
A
10
27
28
56
60
69
12
64
27
57
27
69
11
67
28
64
59
64
12
28
67
64
28
67
69
64
57
4 + 2 × 3 =A
11 × 8 - 24 =E
11 × 6 - 6 =P
42 + 7 × 2 =S
3 + 2 × 4 =G
12 + 8 × 4 =O
8 + 5 × 4 =T
6 + 2 × 3 =D
13 + 7 × 8 =I
10 × 6 - 1 =N
8 × 9 - 5 =H
33 + 3 × 8 =F
36 + 3 × 5 =B
17 + 5 × 2 =R
0/14 letters found
Clue 4

Multiplication facts (1-12)

You find a clue left near the Divination tower. Professor Trelawney has arranged crystal balls in equal rows, and calculating the total reveals a hidden pattern.

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
22
55
11
100
11
49
110
S
22
S
22
3
100
6
11
25
88
72
108
11
S
22
8
110
2
10
2
11
S
22
3
25
108
11
2 × 11 =S
1 × 10 =K
9 × 8 =L
10 × 10 =N
2 × 1 =R
5 × 11 =C
1 × 11 =E
5 × 5 =D
1 × 3 =I
2 × 4 =P
2 × 3 =G
7 × 7 =H
9 × 12 =U
11 × 10 =A
11 × 8 =B
0/15 letters found
Clue 5

Division facts (1-12) — the last clue

To get past a locked corridor, you must divide a bag of Bertie Bott Every Flavor Beans equally among the gargoyles guarding the stairs.

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
27 ÷ 9 = ?
32 ÷ 8 = ?
80 ÷ 8 = ?
24 ÷ 12 = ?
121 ÷ 11 = ?
56 ÷ 8 = ?
25 ÷ 5 = ?
4 ÷ 4 = ?
108 ÷ 9 = ?
16 ÷ 2 = ?
27 ÷ 3 = ?
Step 2 — cross out the sentence with each answer
1.The villain transfigured the classroom door into solid chocolate, then consulted a worn marauders map.
2.The villain shielded the escape route with a red sparks barrier, then adjusted a pair of brass omnioculars.
3.The villain cast a levitation charm on the library tables, then scribbled a false note with a quick quotes quill.
4.The villain cast a levitation charm on the library tables, then scanned the hallways using a sneakoscope.
5.The villain brewed a highly unstable sleeping draught, then dropped a glowing red remembrall.
6.The villain transfigured the classroom door into solid chocolate, then adjusted a pair of brass omnioculars.
7.The villain transfigured the classroom door into solid chocolate, then dropped a glowing red remembrall.
8.The villain transfigured the classroom door into solid chocolate, then scribbled a false note with a quick quotes quill.
9.The villain shielded the escape route with a red sparks barrier, then scribbled a false note with a quick quotes quill.
10.The villain rearranged the venomous tentacula plants, then dropped a glowing red remembrall.
11.The villain brewed a highly unstable sleeping draught, then consulted a worn marauders map.
12.The villain rearranged the venomous tentacula plants, then consulted a worn marauders map.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 5 math
Math topics
Fractions of a number, Multi-step word problems, Order of operations, Multiplication, Division
Reading level
grades 5-6
Theme
The Hogwarts Library Mystery — set in Hogwarts School of Witchcraft and Wizardry
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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