Math Crackers
Grade 5Reading: grades 5-6Fractions of a numberWord problemsBar modelsOrder of operations

The Mystery of the Sunken Compass

During the midnight expedition in Mist Valley Jungle, someone stole the Golden Sun Compass from Head Curator Dr. Aris. Detective, examine the clues to identify the culprit.

Suspects

Possible suspects

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

21 of 21 still in play
NameExplorer GearSpecial SkillDominant HandHair StylePhobia
Freya StarkFlashlight LensRope SplicingRight HandedBlack CrewcutScared Of Snakes
Ibn BattutaGrappling HookLock PickingLeft HandedSilver PonytailScared Of Bats
Thor HeyerdahlPocket CompassLock PickingLeft HandedSilver PonytailScared Of Bats
Steve IrwinClimbing AxesTrack IdentificationLeft HandedSilver PonytailScared Of Spiders
Valerie TaylorClimbing AxesTrack IdentificationRight HandedAuburn BraidsScared Of Snakes
Amelia EarhartDecoder RingLock PickingLeft HandedBlack CrewcutScared Of Bats
Will StegerClimbing AxesLock PickingRight HandedAuburn BraidsScared Of Snakes
Nelly BlyPocket CompassTrack IdentificationLeft HandedSilver PonytailScared Of Bats
Charles LindberghPocket CompassSignal FlaringRight HandedSilver PonytailScared Of Snakes
Gertrude BellClimbing AxesTrack IdentificationRight HandedSilver PonytailScared Of Snakes
Junko TabeiPocket CompassMap ReadingRight HandedBlack CrewcutScared Of Bats
Edmund HillaryDecoder RingLock PickingRight HandedAuburn BraidsScared Of Snakes
Ranulph FiennesPocket CompassMap ReadingLeft HandedBlack CrewcutScared Of Bats
Barbara HillaryGrappling HookMap ReadingLeft HandedSilver PonytailScared Of Snakes
Roald AmundsenClimbing AxesMap ReadingRight HandedBlack CrewcutScared Of Snakes
Krystyna ChojnowskaClimbing AxesTrack IdentificationLeft HandedSilver PonytailScared Of Bats
SacagaweaPocket CompassRope SplicingLeft HandedSilver PonytailScared Of Bats
Matthew HensonDecoder RingTrack IdentificationRight HandedSilver PonytailScared Of Bats
Marco PoloGrappling HookMap ReadingLeft HandedSilver PonytailScared Of Bats
Robin Lee GrahamDecoder RingSignal FlaringRight HandedSilver PonytailScared Of Spiders
Ernest ShackletonGrappling HookLock PickingLeft HandedBlack CrewcutScared Of Snakes
Clue 1

Fractions of a number

Dr. Aris calculated a fraction of the total supply crates to figure out which campsite tent held the first hidden note.

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
29
14
10
4
28
19
19
18
28
24
5
39
10
32
24
39
T
29
2
32
10
19
39
30
34
27
28
30
34
28
24
8
1/5 of 145 =T
6/10 of 30 =A
1/6 of 168 =I
3/6 of 8 =V
1/4 of 108 =P
8/10 of 10 =G
2/6 of 117 =O
2/10 of 50 =E
4/8 of 10 =D
2/10 of 170 =K
2/3 of 36 =N
1/5 of 10 =U
7/8 of 16 =H
1/10 of 190 =L
1/2 of 60 =C
2/10 of 160 =S
0/16 letters found
Clue 2

Word problems

A scout solved a word problem about gear weights to narrow down the expedition trail.

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

Awitnesssawthevillainwas
L
114
106
119
84
33
50
91
D
 
106
D
 
.
There were 149 canteen cups. 35 were used up. How many canteen cups are left?L
Lead Trail Scout lined up 10 rows of 5 brass compasses. How many brass compasses in all?A
There were 88 torch beams. 4 were used up. How many torch beams are left?T
Lead Trail Scout found 87 map scrolls yesterday and 19 more today. How many map scrolls in all?E
There were 105 canteen cups. 14 were used up. How many canteen cups are left?N
Lead Trail Scout found 92 brass compasses yesterday and 27 more today. How many brass compasses in all?F
Lead Trail Scout found 26 torch beams yesterday and 7 more today. How many torch beams in all?H
0/7 letters found
Clue 3

Bar model word problems

The team drew a bar model comparing rope lengths to reveal a secret compartment in the supply wagon.

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
S
106
9
6
110
19
79
25
F
 
B
 
6
T
 
S
106
.
There were 122 torch beams in all. 16 torch beams were used. How many torch beams are left?
draw a bar model
Answer:→S
Lead Trail Scout shares 158 torch beams equally among 2 teams. How many torch beams does each team get?
draw a bar model
Answer:→D
Lead Trail Scout shares 125 torch beams equally among 5 teams. How many torch beams does each team get?
draw a bar model
Answer:→O
Lead Trail Scout used 1/3 of the brass compasses on the first day. The other 6 brass compasses were used the next day. How many brass compasses were there in all?
draw a bar model
Answer:→C
There were 45 brass compasses in all. 39 brass compasses were used. How many brass compasses are left?
draw a bar model
Answer:→A
The red team has 56 brass compasses and the blue team has 37 brass compasses. How many more brass compasses does the red team have?
draw a bar model
Answer:→E
There were 137 brass compasses in all. 27 brass compasses were used. How many brass compasses are left?
draw a bar model
Answer:→R
0/7 letters found
Clue 4

Order of operations

Solving a multi-step order of operations code on the temple doorway unlocked a locked journal.

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
55
23
40
77
16
58
21
43
23
58
S
55
54
58
43
13
30
S
55
41
43
18
24
21
54
69
13
43
8
58
43
13
41
21
6 × 10 - 5 =S
37 + 2 × 2 =C
6 × 5 - 14 =E
5 + 9 × 8 =V
12 × 6 - 3 =O
6 × 9 - 30 =G
9 × 7 - 5 =R
9 × 3 - 4 =I
7 × 7 - 9 =L
15 + 5 × 3 =D
29 + 7 × 2 =A
10 × 8 - 26 =T
2 + 8 × 2 =U
9 + 4 × 3 =H
6 × 5 - 22 =B
10 × 4 - 27 =N
0/16 letters found
Clue 5

Fractions of a number — the last clue

The detective measured a fraction of the map grid to pin down the exact location of the stolen compass.

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
2/4 of 18 = ?
1/8 of 8 = ?
1/8 of 48 = ?
2/6 of 12 = ?
1/3 of 33 = ?
4/8 of 24 = ?
1/6 of 42 = ?
1/2 of 4 = ?
4/8 of 10 = ?
2/5 of 25 = ?
1/2 of 16 = ?
Step 2 — cross out the sentence with each answer
1.The villain navigated the foggy path, then tied off the anchor rope.
2.The villain scaled the stone cliff, then traced the secret map.
3.The villain navigated the foggy path, then followed the wild tracks.
4.The villain decoded the ancient runes, then tied off the anchor rope.
5.The villain decoded the ancient runes, then followed the wild tracks.
6.The villain scaled the stone cliff, then followed the wild tracks.
7.The villain swung across the chasm, then lit up the dark passage.
8.The villain swung across the chasm, then tied off the anchor rope.
9.The villain swung across the chasm, then traced the secret map.
10.The villain navigated the foggy path, then bypassed the simple latch.
11.The villain flashed a bright beam, then bypassed the simple latch.
12.The villain swung across the chasm, then followed the wild tracks.
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, Word problems, Bar models, Order of operations
Reading level
grades 5-6
Theme
The Mystery of the Sunken Compass — set in Mist Valley Jungle
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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