Math Mysteries
Grade 7Reading: grades 7-9IntegersPercentagesOrder of operationsExponentsTwo-step equations

The Lost Golden Compass

The Golden Compass, the crown jewel of the Whispering Canopy Expedition, has vanished from the Grand Basecamp! The culprit has fled deep into the ancient jungle. Grab your canteen and map, team—we need to analyze the clues left on the trail to track down the thief!

Suspects

Possible suspects

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

21 of 21 still in play
NamePrimary GearSecondary GearDominant HandHairstyleVulnerability
Percy FawcettDecoder RingCamp StoveRight-handedDusty PonytailLoud Noises
Mary KingsleySmoke BombCamp StoveLeft-handedSleek BuzzcutShiny Gold
Roald AmundsenClimbing SpikesPocket KnifeRight-handedWindswept CurlsShiny Gold
Ibn BattutaSmoke BombFlare GunRight-handedDusty PonytailShiny Gold
Gertrude BellClimbing SpikesBinocularsLeft-handedSleek BuzzcutShiny Gold
Marco PoloGlider WingPocket KnifeLeft-handedDusty PonytailSwarms of Bugs
Alexandrine TinneClimbing SpikesMini CompassRight-handedWindswept CurlsLoud Noises
Bessie ColemanSmoke BombMini CompassLeft-handedWindswept CurlsSwarms of Bugs
Thor HeyerdahlDecoder RingFlare GunRight-handedWindswept CurlsShiny Gold
Amelia EarhartDecoder RingCamp StoveRight-handedSleek BuzzcutLoud Noises
SacagaweaSmoke BombMini CompassRight-handedDusty PonytailLoud Noises
Matthew HensonSmoke BombBinocularsRight-handedWindswept CurlsLoud Noises
Freya StarkSmoke BombMini CompassRight-handedWindswept CurlsShiny Gold
Charles DarwinSmoke BombFlare GunRight-handedSleek BuzzcutShiny Gold
Nellie BlyDecoder RingCamp StoveLeft-handedWindswept CurlsLoud Noises
George MalloryGrappling HookCamp StoveLeft-handedDusty PonytailSwarms of Bugs
Junko TabeiSmoke BombCamp StoveRight-handedWindswept CurlsLoud Noises
Ernest ShackletonDecoder RingPocket KnifeRight-handedWindswept CurlsLoud Noises
Hiram BinghamGrappling HookBinocularsRight-handedWindswept CurlsLoud Noises
Jacques CousteauClimbing SpikesBinocularsRight-handedDusty PonytailLoud Noises
Isabella BirdGlider WingBinocularsRight-handedWindswept CurlsShiny Gold
Clue 1

Integers

To track the suspect, the team measures changes in altitude. We compare steps climbed and cave descents using positive and negative values.

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
22
25
29
2
19
24
24
9
19
20
10
27
29
12
20
27
T
22
15
9
23
23
30
9
16
19
20
19
15
27
16
13
9
12
12
(-4) + 26 =T
10 - (-14) =L
(-10) + 33 =R
(-2) + 31 =E
(-11) + 23 =S
13 - (-2) =C
(-9) + 19 =D
(-7) + 34 =O
(-3) + 23 =N
(-2) + 15 =P
3 - (-6) =A
22 - (-8) =Y
(-12) + 31 =I
(-15) + 31 =M
(-8) + 33 =H
(-12) + 14 =V
0/16 letters found
Clue 2

Percentages

Our GPS map scanner only displays the percentage of the temple grid that has been cleared of traps. Let's calculate the remaining safety zone.

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
46
19
T
14
40
12
2
19
T
14
2
12
40
6
6
19
3
49
T
14
53
49
T
14
46
T
14
46
19
49
12
12
49
2
46
T
14
46
40
34
3
5% of 280 =T
40% of 5 =G
20% of 265 =W
50% of 38 =E
40% of 100 =A
50% of 92 =H
50% of 24 =R
20% of 15 =D
25% of 136 =N
75% of 8 =B
10% of 490 =I
0/11 letters found
Clue 3

Order of operations

A heavy stone gate blocks the jungle path. We must follow the strict order of mathematical steps carved into the lock to swing it open.

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
102
32
23
33
66
33
99
23
95
T
102
95
13
86
23
28
23
8
T
102
32
23
57
28
23
96
28
33
96
T
102
T
102
32
23
41
96
46
61
77 + 5 × 5 =T
9 × 12 - 22 =V
2 + 2 × 3 =D
5 + 4 × 2 =O
11 × 10 - 15 =C
49 + 4 × 2 =I
69 + 9 × 3 =A
56 + 2 × 5 =U
21 + 5 × 8 =G
18 + 9 × 9 =P
11 + 4 × 3 =E
4 × 10 - 8 =H
11 × 5 - 27 =R
12 × 6 - 26 =N
29 + 3 × 4 =B
8 × 5 - 7 =S
0/16 letters found
Clue 4

Exponents

Glowing jungle ferns are multiplying fast! To estimate how many spores are blocking our vision, we must calculate their exponential growth rate.

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

W
100
49
243
343
289
W
100
8
16
121
196
144
32
400
36
27
256
49
32
W
100
256
289
25
243
121
27
8
169
49
243
8
289
10^2 =W
20^2 =L
17^2 =S
2^8 =A
2^5 =R
3^5 =N
4^2 =P
6^2 =Y
7^2 =I
3^3 =H
14^2 =C
5^2 =O
13^2 =V
7^3 =D
12^2 =U
2^3 =E
11^2 =T
0/17 letters found
Clue 5

Two-step equations — the last clue

An ancient scale holds two carved stone weights. We need to find the weight of a single golden idol to balance the scale and reveal the 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
6x + 1 = 67, x = ?
2x + 10 = 22, x = ?
3x + 2 = 38, x = ?
3x + 8 = 23, x = ?
6x + 7 = 25, x = ?
2x + 9 = 23, x = ?
6x + 8 = 62, x = ?
5x + 11 = 21, x = ?
4x + 2 = 18, x = ?
4x + 12 = 16, x = ?
5x + 9 = 49, x = ?
Step 2 — cross out the sentence with each answer
1.The villain soared off the canopy cliff, then brewed hot cocoa on a camp stove.
2.The villain scaled the crumbling temple steps, then scanned the valley with binoculars.
3.The villain decoded the glyphs on the stone wall, then checked the direction on a mini compass.
4.The villain swung across the ancient chasm, then brewed hot cocoa on a camp stove.
5.The villain threw a smoke bomb into the chamber, then checked the direction on a mini compass.
6.The villain threw a smoke bomb into the chamber, then scanned the valley with binoculars.
7.The villain scaled the crumbling temple steps, then fired a warning flare.
8.The villain soared off the canopy cliff, then checked the direction on a mini compass.
9.The villain swung across the ancient chasm, then cut through the thick vines.
10.The villain swung across the ancient chasm, then scanned the valley with binoculars.
11.The villain decoded the glyphs on the stone wall, then cut through the thick vines.
12.The villain threw a smoke bomb into the chamber, then brewed hot cocoa on a camp stove.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 7 math
Math topics
Integers, Percentages, Order of operations, Exponents, Two-step equations
Reading level
grades 7-9
Theme
The Lost Golden Compass — set in The deep, uncharted jungles of Whispering Canopy Island
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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