Math Mysteries
🔎 BooksGrade 7Reading: grades 5-6Fractions of a numberMultiplicationMulti-step word problemsIntegers

The Mystery of the Great Archive

Someone mixed up all the rare manuscripts in the Great Archive and blotted out the author signatures! Use your detective skills and solve the clues to catch the Ink Bandit before the literary festival 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
NameLiterary GenreBookmark StyleWriting HandInk Stain ColorLiterary Foil
Harry PotterHistorical SagaDragon TasselLeft HandedCrimson RedLoud Noise
Elizabeth BennetPoetry VerseNeon StickerLeft HandedMidnight BlueHarsh Sunlight
Nancy DrewPoetry VerseLeather StrapLeft HandedRaven BlackHarsh Sunlight
Mary PoppinsFantasy LoreNeon StickerRight HandedCrimson RedLoud Noise
Hermione GrangerSci-Fi EpicDragon TasselRight HandedCrimson RedHarsh Sunlight
Hercule PoirotSci-Fi EpicLeather StrapLeft HandedMidnight BlueHarsh Sunlight
Katniss EverdeenMystery FictionSilver RibbonLeft HandedMidnight BlueHarsh Sunlight
Tom SawyerHistorical SagaNeon StickerRight HandedCrimson RedLoud Noise
Augustus BucketPoetry VerseBrass ClipLeft HandedRaven BlackFresh Glue
Percy JacksonHistorical SagaDragon TasselLeft HandedCrimson RedHarsh Sunlight
Jay GatsbyMystery FictionBrass ClipRight HandedRaven BlackLoud Noise
Phileas FoggSci-Fi EpicSilver RibbonLeft HandedRaven BlackHarsh Sunlight
Captain NemoPoetry VerseLeather StrapLeft HandedMidnight BlueFresh Glue
Dorothy GalePoetry VerseDragon TasselLeft HandedRaven BlackLoud Noise
Bilbo BagginsPoetry VerseDragon TasselRight HandedRaven BlackLoud Noise
Atticus FinchFantasy LoreBrass ClipRight HandedMidnight BlueFresh Glue
Holden CaulfieldFantasy LoreBrass ClipLeft HandedRaven BlackHarsh Sunlight
Jo MarchPoetry VerseSilver RibbonLeft HandedRaven BlackHarsh Sunlight
Meg MurrySci-Fi EpicBrass ClipLeft HandedRaven BlackLoud Noise
Ebenezer ScroogePoetry VerseDragon TasselLeft HandedRaven BlackHarsh Sunlight
Huckleberry FinnMystery FictionLeather StrapRight HandedRaven BlackHarsh Sunlight
Clue 1

Fractions of a number

The library assistant calculated that only a fraction of the damaged mystery manuscripts could be restored today.

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
50
52
31
21
24
20
20
35
24
47
38
37
31
60
47
37
T
50
2
60
31
35
38
58
35
23
37
47
T
50
35
60
60
31
20
3/6 of 100 =T
2/5 of 50 =L
1/6 of 186 =E
2/5 of 145 =R
3/10 of 80 =I
4/8 of 74 =O
2/8 of 140 =A
1/10 of 20 =U
2/8 of 84 =V
2/4 of 94 =N
3/6 of 76 =D
5/6 of 72 =S
3/6 of 46 =G
2/5 of 130 =H
0/14 letters found
Clue 2

Multiplication facts (1-12)

The head investigator organized the recovered book stacks into equal rows to compute the total count.

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
60
8
81
6
90
6
25
81
121
T
60
24
54
6
24
12
84
T
60
84
7
42
24
84
T
60
8
T
60
8
81
84
12
32
81
48
T
60
8
54
7
14
12 × 5 =T
9 × 9 =E
9 × 10 =U
4 × 3 =R
12 × 7 =I
6 × 9 =A
2 × 12 =W
5 × 5 =P
1 × 7 =N
2 × 7 =D
6 × 1 =S
11 × 11 =C
7 × 6 =G
1 × 8 =H
4 × 8 =L
4 × 12 =F
0/16 letters found
Clue 3

Multi-step word problems

To track down the culprit, the detective calculated the total budget spent on replacement covers minus the discount.

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

Someonescaredthevillainoffwith
H
84
6
70
28
H
84
28
7
47
67
I
 
G
 
H
84
T
 
.
Archivist filled 7 boxes with 8 leather journals each, then found 28 more leather journals. How many leather journals are there in all?H
There were 297 leather journals in all. 29 leather journals were set aside. The rest were shared equally among 4 the Reading Guild. How many leather journals did each get?L
Archivist earned 6 magnifying glasses in each of 5 rounds, plus 23 bonus magnifying glasses. Then 6 magnifying glasses were lost. How many magnifying glasses are left?N
Archivist earned 3 quill pens in each of 5 rounds, plus 1 bonus quill pens. Then 9 quill pens were lost. How many quill pens are left?U
There were 170 quill pens in all. 30 quill pens were set aside. The rest were shared equally among 5 the Reading Guild. How many quill pens did each get?S
Archivist collected 27 bookmark tassels in the morning and 3 bookmark tassels in the afternoon, then split them equally among 5 the Reading Guild. How many bookmark tassels did each get?A
Archivist collected 202 bookmark tassels in the morning and 78 bookmark tassels in the afternoon, then split them equally among 4 the Reading Guild. How many bookmark tassels did each get?R
0/7 letters found
Clue 4

Integers

The archival thermometer tracked temperature changes in the vault above and below zero degrees.

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
6
14
13
8
A
6
20
24
28
4
8
A
6
27
16
20
15
10
A
6
3
9
18
A
6
26
8
17
A
6
14
4
28
30
20
24
(-12) + 18 =A
(-11) + 19 =R
6 - (-4) =L
(-7) + 21 =S
(-1) + 21 =N
(-4) + 13 =K
(-6) + 19 =T
(-12) + 27 =B
(-15) + 31 =E
12 - (-14) =I
18 - (-12) =U
13 - (-15) =O
14 - (-4) =H
15 - (-12) =V
(-15) + 18 =C
1 - (-3) =F
(-5) + 22 =W
15 - (-9) =D
0/18 letters found
Clue 5

Fractions of a number — the last clue

A fraction of the remaining reference scrolls contained hidden marginal notes from the suspect.

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
1/3 of 9 = ?
1/3 of 24 = ?
1/8 of 40 = ?
2/8 of 16 = ?
1/5 of 35 = ?
1/3 of 18 = ?
1/4 of 4 = ?
3/5 of 15 = ?
1/6 of 60 = ?
6/8 of 16 = ?
1/10 of 110 = ?
Step 2 — cross out the sentence with each answer
1.The villain rewrote the mystery finale, then decorated drafts with a dragon tassel.
2.The villain scrambled the rhyming stanzas, then marked pages with a silver ribbon.
3.The villain erased the sci-fi star map, then marked pages with a silver ribbon.
4.The villain rewrote the mystery finale, then tagged pages with a neon sticker.
5.The villain scrambled the fantasy spells, then clipped notes with a brass clip.
6.The villain altered the historical dates, then marked pages with a silver ribbon.
7.The villain altered the historical dates, then bound chapters with a leather strap.
8.The villain scrambled the rhyming stanzas, then bound chapters with a leather strap.
9.The villain erased the sci-fi star map, then bound chapters with a leather strap.
10.The villain erased the sci-fi star map, then decorated drafts with a dragon tassel.
11.The villain scrambled the rhyming stanzas, then clipped notes with a brass clip.
12.The villain erased the sci-fi star map, then clipped notes with a brass clip.
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, Multiplication, Multi-step word problems, Integers
Reading level
grades 5-6
Theme
The Mystery of the Great Archive — set in The Alexandria Library School
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

More free printable math mysteries

7th grade worksheetsMultiplication worksheetsFractions of a number worksheetsIntegers worksheetsAll worksheets →
The Grand Slam Gold Mystery
Grade 7
The Case of the Missing Golden Glove
Grade 7
The Diamond Dome Heist
Grade 7
The Lava Grief Mystery
Grade 7