Math Mysteries
Grade 7Reading: grades 7-9MultiplicationIntegersPercentagesOrder of operationsTwo-step equations

The Lost Idol of El Dorado

A rival explorer has swiped the Golden Jaguar Idol right out of the excavation camp! The lead cartographer was tied up with vines, leaving only a trail of muddy boot prints and dropped gear. We must analyze the evidence left behind to figure out which member of the expedition turned rogue.

Suspects

Possible suspects

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

21 of 21 still in play
NameExploration SpecialtyBackpack ToolHandednessHeadgear wornPhobia
Finndecoding lenssample vialsright handed compass usecanvas pith helmetscared of fruit bats
Leoclimbing ropesfield journalleft handed compass usecanvas pith helmetallergic to pollen
Jacquesdecoding lensfield journalright handed compass usebright red bandanaallergic to pollen
Sacagaweamachete toolpocket flaresleft handed compass usecanvas pith helmetafraid of heights
Mateodecoding lenssmoke bombsright handed compass usecanvas pith helmetafraid of heights
Hudsonclimbing ropessmoke bombsright handed compass usecanvas pith helmetscared of fruit bats
Gemmametal detectorpocket flaresleft handed compass usecanvas pith helmetafraid of heights
Indydecoding lenssample vialsright handed compass usebright red bandanaallergic to pollen
Laragrappling hookfield journalright handed compass usebrown leather capafraid of heights
Percymachete tooltracking radarleft handed compass usecanvas pith helmetafraid of heights
Freyametal detectorpocket flaresleft handed compass usebrown leather capafraid of heights
Isabellagrappling hooktracking radarleft handed compass usebright red bandanaafraid of heights
Marcomachete toolpocket flaresright handed compass usebright red bandanaallergic to pollen
Elenadecoding lenssample vialsleft handed compass usebrown leather capallergic to pollen
Nelliemachete toolsample vialsright handed compass usebrown leather capscared of fruit bats
Ameliaclimbing ropessample vialsleft handed compass usebrown leather capafraid of heights
Zeldametal detectorfield journalleft handed compass usecanvas pith helmetallergic to pollen
Wyattmachete toolsample vialsleft handed compass usecanvas pith helmetafraid of heights
Charlesmachete toolsample vialsright handed compass usebright red bandanascared of fruit bats
Arthurmachete toolsmoke bombsleft handed compass usecanvas pith helmetafraid of heights
Coradecoding lenssample vialsright handed compass usecanvas pith helmetafraid of heights
Clue 1

Multiplication facts (1-12)

To calculate the grid coordinates of the lost temple's entrance, we need to multiply the number of columns in the ancient relief carvings.

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
32
77
42
T
32
20
22
28
42
T
32
2
4
42
27
72
4
T
32
35
27
42
27
55
4
6
42
3
4
55
3
27
4 × 8 =T
6 × 7 =E
10 × 2 =A
9 × 3 =S
1 × 6 =K
7 × 4 =G
3 × 1 =B
5 × 7 =U
12 × 6 =N
1 × 2 =D
2 × 11 =R
5 × 11 =M
11 × 7 =H
2 × 2 =O
0/14 letters found
Clue 2

Integers

The altitude dial in our steam-powered balloon fluctuated wildly, dropping below sea level before rising again as we charted the temperature shifts.

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
24
9
11
18
14
20
25
21
26
T
24
9
11
20
27
T
24
9
11
18
10
1
25
6
22
22
26
12
T
24
9
11
20
11
28
T
24
9
6
12
27
20 - (-4) =T
(-11) + 23 =N
(-11) + 25 =U
18 - (-4) =S
14 - (-14) =F
6 - (-12) =C
(-10) + 37 =D
(-12) + 23 =E
(-12) + 18 =A
21 - (-4) =P
(-4) + 13 =H
10 - (-11) =R
17 - (-9) =I
1 - (-9) =O
8 - (-12) =L
(-13) + 14 =M
0/16 letters found
Clue 3

Percentages

We analyzed the composition of the mysterious golden idol, calculating what portion of the alloy was pure copper versus ancient brass.

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
7
44
51
30
38
19
19
28
38
18
49
44
38
30
51
5
51
9
34
44
38
19
51
28
T
7
T
7
44
51
44
38
32
44
41
19
38
52
52
20% of 35 =T
50% of 98 =S
10% of 280 =A
25% of 204 =E
25% of 76 =L
50% of 76 =I
5% of 640 =G
25% of 176 =H
50% of 36 =N
40% of 130 =F
50% of 60 =V
50% of 18 =D
50% of 68 =W
20% of 25 =R
50% of 82 =C
0/15 letters found
Clue 4

Order of operations

Before we could disarm the pressure-plate trap in the treasure room, we had to solve the nested equation carved into the stone lintel.

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
45
92
A
45
118
79
A
45
43
110
78
117
27
27
22
85
99
22
117
81
A
45
43
85
22
109
117
78
118
117
27
22
99
11
9
12 × 4 - 3 =A
86 + 3 × 2 =C
11 × 12 - 22 =P
10 + 2 × 6 =E
72 + 3 × 3 =W
55 + 7 × 9 =N
12 + 5 × 3 =H
8 + 5 × 7 =S
7 + 2 × 2 =U
12 × 11 - 23 =F
3 + 3 × 2 =D
93 + 6 × 4 =T
10 × 9 - 11 =V
11 × 11 - 22 =M
48 + 5 × 6 =I
10 × 9 - 5 =L
0/16 letters found
Clue 5

Two-step equations — the last clue

We need to balance the fuel consumption rate of our expedition buggy to see how many miles remain before we run out of water.

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
2x + 8 = 10, x = ?
3x + 8 = 23, x = ?
4x + 3 = 35, x = ?
5x + 11 = 56, x = ?
3x + 1 = 7, x = ?
6x + 3 = 69, x = ?
3x + 7 = 43, x = ?
2x + 1 = 21, x = ?
5x + 8 = 23, x = ?
3x + 8 = 26, x = ?
4x + 10 = 26, x = ?
Step 2 — cross out the sentence with each answer
1.The villain cleared the dense vines with a machete tool, then lit up the dark cavern using pocket flares.
2.The villain swung across the canyon with a grappling hook, then scooped up glowing mud into sample vials.
3.The villain read the hidden runes with a decoding lens, then escaped in a cloud of thick smoke bombs.
4.The villain scaled the ancient ruins with climbing ropes, then scooped up glowing mud into sample vials.
5.The villain scanned the dirt path with a metal detector, then lit up the dark cavern using pocket flares.
6.The villain scaled the ancient ruins with climbing ropes, then lit up the dark cavern using pocket flares.
7.The villain cleared the dense vines with a machete tool, then scooped up glowing mud into sample vials.
8.The villain cleared the dense vines with a machete tool, then tracked the native wildlife with radar.
9.The villain swung across the canyon with a grappling hook, then lit up the dark cavern using pocket flares.
10.The villain cleared the dense vines with a machete tool, then escaped in a cloud of thick smoke bombs.
11.The villain cleared the dense vines with a machete tool, then sketched a secret route in a field journal.
12.The villain read the hidden runes with a decoding lens, then scooped up glowing mud into sample vials.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 7 math
Math topics
Multiplication, Integers, Percentages, Order of operations, Two-step equations
Reading level
grades 7-9
Theme
The Lost Idol of El Dorado — set in The Whispering Canopy of the Amazon
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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