Grade 7Reading: grades 3-4IntegersPercentagesOrder of operationsExponentsTwo-step equations
The Lost Sky Map
The Golden Compass has been swiped from the Grand Airship! Without it, Captain Skip cannot find the hidden Sky Temple. A rogue sky pirate slipped past the guard puffins, grabbed the compass, and flew off into the fog. We must find who did it before they lock the temple gates forever!
Suspects
Possible suspects
Cross off a row as each clue rules it out. On screen, tap a row.
21 of 21 still in play
| Name | Pilot Gear | Sky Gadget | Steering Grip | Goggle Strap | Phobia |
|---|---|---|---|---|---|
| Cyrus | cloud board | spark blaster | left handed | bright yellow strap | fear of heights |
| Ryder | rotor pack | wind whistle | right handed | bright yellow strap | fear of balloons |
| Hudson | brass jetpack | smoke bomb | left handed | sunset red strap | fear of thunder |
| Silas | cloud board | smoke bomb | right handed | ocean blue strap | fear of thunder |
| Dora | steam boots | net launcher | right handed | sunset red strap | fear of thunder |
| Gideon | feather glider | net launcher | left handed | sunset red strap | fear of heights |
| Cleo | rotor pack | grappling hook | left handed | bright yellow strap | fear of heights |
| Amelia | steam boots | spark blaster | right handed | ocean blue strap | fear of thunder |
| Wyatt | steam boots | net launcher | right handed | ocean blue strap | fear of thunder |
| Freya | brass jetpack | net launcher | left handed | ocean blue strap | fear of thunder |
| Brody | rotor pack | grappling hook | right handed | ocean blue strap | fear of thunder |
| Indiana | feather glider | wind whistle | right handed | sunset red strap | fear of thunder |
| Sutton | steam boots | grappling hook | left handed | ocean blue strap | fear of balloons |
| Clara | steam boots | net launcher | right handed | bright yellow strap | fear of heights |
| Lara | steam boots | spark blaster | left handed | bright yellow strap | fear of thunder |
| Jacques | steam boots | net launcher | left handed | bright yellow strap | fear of heights |
| Buster | steam boots | wind whistle | right handed | ocean blue strap | fear of thunder |
| Nelly | steam boots | net launcher | left handed | bright yellow strap | fear of thunder |
| Pip | rotor pack | wind whistle | right handed | ocean blue strap | fear of thunder |
| Beckett | rotor pack | grappling hook | right handed | ocean blue strap | fear of balloons |
| Finn | steam boots | smoke bomb | right handed | sunset red strap | fear of heights |
Clue 1
Integers
To find the flight path, we must calculate the airship's change in height as it went above and below cloud level.
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
15
7
10
22
11
12
20
T
15
10
16
14
10
4
27
14
T
15
13
4
10
20
25
11
27
16
25
7
11
4
T
15
28
10
(-7) + 22 =T
(-11) + 25 =O
12 - (-15) =N
(-10) + 30 =A
(-6) + 19 =U
(-12) + 28 =D
(-14) + 26 =R
18 - (-4) =P
(-6) + 10 =S
(-13) + 38 =W
(-9) + 37 =L
(-14) + 25 =I
(-8) + 18 =E
(-10) + 17 =H
0/14 letters found
Clue 2
Percentages
The captain needs to check how much spark juice is left in the fuel tanks before we chase the thief.
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
9
48
39
51
W
9
44
8
48
56
49
33
30
44
29
39
48
44
8
48
49
52
52
49
54
8
44
8
51
28
46
30
28
33
31
5% of 180 =W
75% of 40 =O
50% of 98 =I
25% of 208 =R
20% of 140 =N
5% of 580 =U
50% of 102 =A
25% of 124 =Y
25% of 216 =G
25% of 132 =L
10% of 80 =H
50% of 96 =E
25% of 224 =P
60% of 65 =S
25% of 184 =D
10% of 440 =T
0/16 letters found
Clue 3
Order of operations
An ancient locked hatch blocks our way. Solve the sequence on the keypad buttons in the correct order to open it.
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
56
47
50
41
32
114
47
A
56
37
50
65
43
31
41
26
32
90
40
108
114
A
56
40
90
32
43
31
90
99
A
56
93
A
56
77
40 + 2 × 8 =A
63 + 9 × 4 =M
26 + 3 × 8 =O
10 × 10 - 23 =Y
5 × 12 - 17 =T
7 × 6 - 2 =R
7 × 10 - 29 =U
4 × 11 - 18 =N
74 + 4 × 4 =E
29 + 2 × 4 =P
8 × 7 - 24 =D
26 + 3 × 7 =L
9 × 10 - 25 =F
98 + 2 × 5 =S
13 + 3 × 6 =H
78 + 6 × 6 =C
75 + 2 × 9 =W
0/17 letters found
Clue 4
Exponents
The power core uses glowing power crystals that multiply rapidly. Let's calculate the total energy boost.
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
8
32
16
225
400
361
125
400
16
36
8
125
400
144
121
225
8
243
9
343
125
4
169
400
9
25
8
361
169
343
9
10^2 =W
4^2 =O
11^2 =L
6^2 =C
5^2 =H
2^5 =F
20^2 =N
12^2 =B
3^2 =T
3^5 =S
13^2 =I
5^3 =A
19^2 =D
7^3 =R
2^2 =P
2^3 =E
15^2 =U
0/17 letters found
Clue 5
Two-step equations — the last clue
We found a scale with heavy golden bricks and unknown cargo bags. Find the weight of one bag to balance the scale.
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 + 5 = 27, x = ?
3x + 12 = 48, x = ?
4x + 8 = 44, x = ?
5x + 4 = 14, x = ?
2x + 2 = 14, x = ?
3x + 5 = 20, x = ?
5x + 11 = 26, x = ?
3x + 5 = 29, x = ?
5x + 8 = 43, x = ?
4x + 6 = 46, x = ?
2x + 3 = 5, x = ?
Step 2 — cross out the sentence with each answer
1.The villain hovered near the windows with a rotor pack, then summoned a gust with a wind whistle.
2.The villain zoomed through the clouds on a brass jetpack, then zapped the alarm with a spark blaster.
3.The villain surfed the sky currents on a cloud board, then summoned a gust with a wind whistle.
4.The villain leaped across the chasms in steam boots, then zapped the alarm with a spark blaster.
5.The villain zoomed through the clouds on a brass jetpack, then swung away using a grappling hook.
6.The villain leaped across the chasms in steam boots, then summoned a gust with a wind whistle.
7.The villain glided over the peaks with a feather glider, then escaped into the mist with a smoke bomb.
8.The villain glided over the peaks with a feather glider, then summoned a gust with a wind whistle.
9.The villain hovered near the windows with a rotor pack, then swung away using a grappling hook.
10.The villain leaped across the chasms in steam boots, then swung away using a grappling hook.
11.The villain surfed the sky currents on a cloud board, then escaped into the mist with a smoke bomb.
12.The villain leaped across the chasms in steam boots, then trapped the guard puffins in a net launcher.
Solve it
Name the culprit
Choose the one suspect left standing.
Answer Key — The Lost Sky Map
Culprit: Amelia (steam boots · spark blaster · right handed · ocean blue strap · fear of thunder)
- Clue 1 (Integers): "THE PIRATE DOES NOT USE A WIND WHISTLE"(-7) + 22 = 15 (T) · (-11) + 25 = 14 (O) · 12 - (-15) = 27 (N) · (-10) + 30 = 20 (A) · (-6) + 19 = 13 (U) · (-12) + 28 = 16 (D) · (-14) + 26 = 12 (R) · 18 - (-4) = 22 (P) · (-6) + 10 = 4 (S) · (-13) + 38 = 25 (W) · (-9) + 37 = 28 (L) · (-14) + 25 = 11 (I) · (-8) + 18 = 10 (E) · (-10) + 17 = 7 (H)
- Clue 2 (Percentages): "WE SAW THE PILOT USE THEIR RIGHT HAND ONLY"5% of 180 = 9 (W) · 75% of 40 = 30 (O) · 50% of 98 = 49 (I) · 25% of 208 = 52 (R) · 20% of 140 = 28 (N) · 5% of 580 = 29 (U) · 50% of 102 = 51 (A) · 25% of 124 = 31 (Y) · 25% of 216 = 54 (G) · 25% of 132 = 33 (L) · 10% of 80 = 8 (H) · 50% of 96 = 48 (E) · 25% of 224 = 56 (P) · 60% of 65 = 39 (S) · 25% of 184 = 46 (D) · 10% of 440 = 44 (T)
- Clue 3 (Order of operations): "A LOUD CLAP OF THUNDER SCARED THEM AWAY"40 + 2 × 8 = 56 (A) · 63 + 9 × 4 = 99 (M) · 26 + 3 × 8 = 50 (O) · 10 × 10 - 23 = 77 (Y) · 5 × 12 - 17 = 43 (T) · 7 × 6 - 2 = 40 (R) · 7 × 10 - 29 = 41 (U) · 4 × 11 - 18 = 26 (N) · 74 + 4 × 4 = 90 (E) · 29 + 2 × 4 = 37 (P) · 8 × 7 - 24 = 32 (D) · 26 + 3 × 7 = 47 (L) · 9 × 10 - 25 = 65 (F) · 98 + 2 × 5 = 108 (S) · 13 + 3 × 6 = 31 (H) · 78 + 6 × 6 = 114 (C) · 75 + 2 × 9 = 93 (W)
- Clue 4 (Exponents): "WE FOUND AN OCEAN BLUE STRAP IN THE DIRT"10^2 = 100 (W) · 4^2 = 16 (O) · 11^2 = 121 (L) · 6^2 = 36 (C) · 5^2 = 25 (H) · 2^5 = 32 (F) · 20^2 = 400 (N) · 12^2 = 144 (B) · 3^2 = 9 (T) · 3^5 = 243 (S) · 13^2 = 169 (I) · 5^3 = 125 (A) · 19^2 = 361 (D) · 7^3 = 343 (R) · 2^2 = 4 (P) · 2^3 = 8 (E) · 15^2 = 225 (U)
- Clue 5 (Two-step equations): surviving statement (box 4) → Amelia2x + 5 = 27, x = 11 · 3x + 12 = 48, x = 12 · 4x + 8 = 44, x = 9 · 5x + 4 = 14, x = 2 · 2x + 2 = 14, x = 6 · 3x + 5 = 20, x = 5 · 5x + 11 = 26, x = 3 · 3x + 5 = 29, x = 8 · 5x + 8 = 43, x = 7 · 4x + 6 = 46, x = 10 · 2x + 3 = 5, x = 1
About this mystery
- Grade level
- Grade 7 math
- Math topics
- Integers, Percentages, Order of operations, Exponents, Two-step equations
- Reading level
- grades 3-4
- Theme
- The Lost Sky Map — set in Mount Whispering Cloud
- Format
- Interactive online & printable worksheet with answer key
- Solution
- One unique, verified culprit among 21 suspects