Math Crackers
Grade 5Reading: grades 3-4MultiplicationWord problemsBar modelsFractions of a numberDivision

Mystery of the Cloudtop Citadel

Someone snuck into the Sky Citadel library and stole the golden cloud map! The Chief Navigator needs your detective skills to solve the clues, track down the culprit, and save the day.

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 GearExtra ToolDominant HandHair StyleSecret Weakness
Cadet ZoeGlider WingsRations BagLeft HandedCurly RedLoud Whistles
Sky Captain SamGlider WingsRations BagLeft HandedSpiky BlondeShiny Objects
Captain DrakeSmoke BombsRations BagLeft HandedCurly RedLoud Whistles
Agent CleoSmoke BombsMap ScrollRight HandedBraided BlackShiny Objects
Scout TobyMagnetic BootsBrass SpyglassLeft HandedCurly RedLoud Whistles
Navigator BenGlider WingsBrass SpyglassLeft HandedCurly RedSneeze Powder
Racer ZaneGrappling HookMap ScrollLeft HandedSpiky BlondeLoud Whistles
Captain MiloGrappling HookMap ScrollRight HandedSpiky BlondeSneeze Powder
Racer FinnFlash LanternMap ScrollLeft HandedCurly RedSneeze Powder
Explorer IrisGrappling HookRations BagRight HandedCurly RedLoud Whistles
Ranger EliGrappling HookAncient CompassLeft HandedBraided BlackShiny Objects
Cadet LunaMagnetic BootsBrass SpyglassLeft HandedSpiky BlondeLoud Whistles
Pilot RubySmoke BombsRations BagRight HandedCurly RedSneeze Powder
Explorer NinaSmoke BombsMap ScrollLeft HandedBraided BlackLoud Whistles
Engineer OwenSmoke BombsMap ScrollLeft HandedCurly RedLoud Whistles
Aviator IvyGlider WingsMap ScrollRight HandedBraided BlackShiny Objects
Commander NoraGlider WingsRations BagRight HandedSpiky BlondeLoud Whistles
Navigator LukeSmoke BombsRations BagLeft HandedSpiky BlondeLoud Whistles
Aviator CoraFlash LanternAncient CompassLeft HandedCurly RedLoud Whistles
Officer JaxGlider WingsMap ScrollLeft HandedCurly RedSneeze Powder
Tracker KaiGlider WingsAncient CompassLeft HandedBraided BlackShiny Objects
Clue 1

Multiplication facts (1-12)

You find supply crates stacked in neat rows on the airship deck. Multiplying the rows gives you the code to unlock the 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
44
3
81
108
77
7
7
35
77
1
80
88
81
28
1
88
T
44
6
35
4
4
90
35
28
48
90
132
7
35
28
28
4 × 11 =T
8 × 11 =O
12 × 9 =V
7 × 1 =L
12 × 11 =G
7 × 4 =S
1 × 4 =R
1 × 3 =H
5 × 7 =A
11 × 7 =I
8 × 10 =D
1 × 1 =N
9 × 9 =E
9 × 10 =Y
3 × 2 =C
6 × 8 =P
0/16 letters found
Clue 2

Word problems

The ship keeper leaves a logbook with adventure notes and supply counts. Solving the story problem reveals the next lead.

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

Awitnesssawthevillainwas
L
81
62
65
97
84
15
29
D
 
62
D
 
.
Navigator lined up 9 rows of 9 lanterns. How many lanterns in all?L
Navigator found 35 lanterns yesterday and 27 more today. How many lanterns in all?E
There were 107 glider packs. 23 were used up. How many glider packs are left?H
There were 104 compasses. 39 were used up. How many compasses are left?F
Navigator found 15 compasses yesterday and 14 more today. How many compasses in all?N
Navigator found 26 lanterns yesterday and 71 more today. How many lanterns in all?T
There were 39 compasses. 24 were used up. How many compasses are left?A
0/7 letters found
Clue 3

Bar model word problems

A bar chart on the command board compares the gear carried by each explorer. Filling in the bars points to the suspect.

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.

Someonescaredthevillainoffwith
L
41
6
107
96
92
94
48
S
 
T
 
L
41
E
 
S
 
.
Navigator has 164 lanterns, packed 4 to a bag. How many bags can be filled?
draw a bar model
Answer:→L
Navigator shares 184 compasses equally among 2 teams. How many compasses does each team get?
draw a bar model
Answer:→W
The red team has 108 grappling hooks and the blue team has 1 grappling hooks. How many more grappling hooks does the red team have?
draw a bar model
Answer:→U
The red team has 60 map tubes and the blue team has 12 map tubes. How many more map tubes does the red team have?
draw a bar model
Answer:→I
The red team has 118 map tubes and the blue team has 24 map tubes. How many more map tubes does the red team have?
draw a bar model
Answer:→H
Navigator has 3 times as many lanterns as a teammate. The teammate has 2 lanterns. How many lanterns does Navigator have?
draw a bar model
Answer:→O
Navigator has 8 times as many lanterns as a teammate. The teammate has 12 lanterns. How many lanterns does Navigator have?
draw a bar model
Answer:→D
0/7 letters found
Clue 4

Fractions of a number

The navigator stored gold tokens in marked sacks. Finding the fraction of the total vault shows where the thief went.

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
9
20
11
7
8
36
7
19
22
31
A
9
38
7
30
A
9
34
25
15
11
40
22
A
9
24
24
31
19
34
20
19
40
19
9/10 of 10 =A
4/10 of 85 =S
2/10 of 120 =T
2/4 of 38 =E
2/6 of 60 =C
4/10 of 20 =L
2/5 of 100 =N
2/5 of 55 =D
1/8 of 200 =F
6/8 of 40 =W
6/8 of 48 =Y
2/4 of 30 =O
1/2 of 22 =U
1/4 of 28 =R
1/6 of 186 =H
1/5 of 190 =I
0/16 letters found
Clue 5

Division facts (1-12) — the last clue

The crew shares the remaining sky crystals equally into containers. Dividing the total reveals the final secret.

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 ÷ 3 = ?
40 ÷ 10 = ?
66 ÷ 6 = ?
6 ÷ 2 = ?
14 ÷ 7 = ?
50 ÷ 10 = ?
63 ÷ 9 = ?
64 ÷ 8 = ?
70 ÷ 7 = ?
5 ÷ 5 = ?
6 ÷ 1 = ?
Step 2 — cross out the sentence with each answer
1.The villain soared over using glider wings, then checked the ancient compass.
2.The villain soared over using glider wings, then spied through the brass spyglass.
3.The villain soared over using glider wings, then scanned the dusty map scroll.
4.The villain blinded the guards with a flash lantern, then checked the ancient compass.
5.The villain swung across with a grappling hook, then scanned the dusty map scroll.
6.The villain walked up walls with magnetic boots, then checked the ancient compass.
7.The villain soared over using glider wings, then tied off a heavy rope coil.
8.The villain blinded the guards with a flash lantern, then tied off a heavy rope coil.
9.The villain vanished behind a smoke bomb, then scanned the dusty map scroll.
10.The villain vanished behind a smoke bomb, then spied through the brass spyglass.
11.The villain vanished behind a smoke bomb, then snacked from a rations bag.
12.The villain soared over using glider wings, then snacked from a rations bag.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 5 math
Math topics
Multiplication, Word problems, Bar models, Fractions of a number, Division
Reading level
grades 3-4
Theme
Mystery of the Cloudtop Citadel — set in Cloudtop Citadel
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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