Math Mysteries
Grade 5Reading: grades 3-4RoundingPlace valueFractions of a numberOrder of operationsDivision

The Sky Island Compass Chase

Someone has sneaked into the High Cloud Library and swapped the legendary Golden Compass with a fake copper one! The Chief Archivist needs your help to track down the rival explorer who did it before they sail off into the sunset. Use your map and match the clues to catch them!

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 toolspecial gadgetglove handheadwear colorfavorite snack
Kiraglider wingsmagnet bootsright handed gloveneon green gogglesmaple candy
Jackglider wingsspark sparklerright handed glovesky blue bandanasour apple chew
Leopocket radarspark sparklerleft handed glovesky blue bandanasour apple chew
Alexpocket radarsmoke bombright handed gloveneon green gogglessalty popcorn
Brookerope launcherwind whistleright handed gloveneon green gogglessour apple chew
Hugoglider wingsspark sparklerleft handed gloveneon green gogglessour apple chew
Codypocket radarmagnet bootsright handed glovesky blue bandanasalty popcorn
Finnrope launcherwind whistleleft handed glovesky blue bandanasour apple chew
Oliviaglider wingsmagnet bootsleft handed glovebright red capmaple candy
Barongrappling hooksmoke bombright handed glovesky blue bandanasour apple chew
Irispocket radarmagnet bootsleft handed gloveneon green gogglessalty popcorn
Nateglider wingsmagnet bootsright handed glovebright red capmaple candy
Peteglider wingsbubble blasterright handed glovesky blue bandanasour apple chew
Elliepocket radarmagnet bootsright handed glovebright red capsour apple chew
Quinnpocket radarspark sparklerright handed glovebright red capsalty popcorn
Rubyrope launchermagnet bootsright handed glovesky blue bandanasour apple chew
Miapocket radarwind whistleleft handed glovebright red capsour apple chew
Dannyglider wingsmagnet bootsright handed glovesky blue bandanasour apple chew
Gracepocket radarbubble blasterright handed glovebright red capsour apple chew
Samsky binocularwind whistleright handed gloveneon green gogglesmaple candy
Colepocket radarsmoke bombright handed glovebright red capmaple candy
Clue 1

Rounding

The airport radar only tracks rounded distance numbers to the nearest ten. Round the cloud distance to find the route.

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
2300
110
170
1100
9000
230
7000
50
4300
500
170
30
900
500
T
2300
70
30
170
7000
300
70
300
300
50
170
300
50
7000
30
T
2300
170
1100
Round 2,291 to the nearest hundredT
Round 6,968 to the nearest thousandA
Round 29 to the nearest tenS
Round 498 to the nearest hundredO
Round 338 to the nearest hundredB
Round 947 to the nearest hundredN
Round 71 to the nearest tenU
Round 228 to the nearest tenV
Round 4,254 to the nearest hundredD
Round 109 to the nearest tenH
Round 47 to the nearest tenL
Round 169 to the nearest tenE
Round 8,905 to the nearest thousandI
Round 1,120 to the nearest hundredR
0/14 letters found
Clue 2

Place value

The safe lock uses place value code keys. Look at the digit in the hundreds place of the coordinate to unlock the box.

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
200
5000
10
8000
800
2000
3000
600
500
8000
9000
900
900
10
500
3000
8000
800
6000
5000
T
200
5000
3000
80
500
10
500
6000
600
9000
2000
10
What is the value of the 2 in 55,251?T
What is the value of the 2 in 902,434?V
What is the value of the 8 in 311,851?I
What is the value of the 3 in 563,570?A
What is the value of the 6 in 86,445?G
What is the value of the 9 in 689,677?O
What is the value of the 8 in 208,256?R
What is the value of the 9 in 38,975?P
What is the value of the 5 in 895,264?H
What is the value of the 6 in 153,692?L
What is the value of the 1 in 805,318?E
What is the value of the 8 in 94,282?N
What is the value of the 5 in 76,502?D
0/13 letters found
Clue 3

Fractions of a number

A flock of sky birds ate part of our berry supply. Solve for the fraction of remaining berries to find where they flew.

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
12
25
20
5
32
15
8
37
36
25
25
15
38
5
32
36
2
19
19
3
25
6
26
25
W
12
6
36
32
27
24
38
2/10 of 60 =W
4/8 of 50 =E
1/5 of 30 =C
1/5 of 130 =H
2/5 of 60 =B
1/6 of 18 =L
1/6 of 30 =O
2/10 of 190 =S
6/10 of 25 =N
6/8 of 48 =R
2/10 of 185 =G
4/8 of 54 =M
1/10 of 190 =P
4/10 of 5 =A
4/6 of 48 =U
1/4 of 80 =F
1/5 of 40 =D
0/17 letters found
Clue 4

Order of operations

The steam engine requires a specific sequence of pressures. Follow the order of operations to solve the pressure dial.

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
23
14
40
19
57
19
32
55
10
26
56
65
6
79
19
57
6
32
35
22
27
A
23
10
6
19
55
35
65
19
22
40
51
76
4 × 10 - 17 =A
12 × 9 - 29 =U
7 × 12 - 28 =Y
7 × 9 - 8 =F
51 + 3 × 2 =C
7 × 4 - 9 =E
5 × 9 - 5 =I
10 × 6 - 28 =O
11 + 3 × 8 =T
2 + 2 × 4 =S
3 + 3 × 8 =W
10 × 4 - 14 =K
9 × 8 - 21 =N
9 × 11 - 23 =D
12 × 3 - 14 =H
9 + 7 × 8 =B
12 × 2 - 18 =L
5 × 3 - 1 =P
0/18 letters found
Clue 5

Division facts (1-12) — the last clue

We need to split our golden coins evenly among the rescue team. Divide the treasure to get the final clue location.

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
108 ÷ 12 = ?
84 ÷ 7 = ?
55 ÷ 11 = ?
24 ÷ 4 = ?
18 ÷ 9 = ?
110 ÷ 10 = ?
28 ÷ 4 = ?
32 ÷ 8 = ?
6 ÷ 2 = ?
8 ÷ 8 = ?
40 ÷ 5 = ?
Step 2 — cross out the sentence with each answer
1.The villain scanned the foggy horizon, then summoned a sudden gust of wind to sail away.
2.The villain scouted the highest peak, then distracted the guards with bright sparks.
3.The villain scanned the foggy horizon, then distracted the guards with bright sparks.
4.The villain zipped over the canyon, then distracted the guards with bright sparks.
5.The villain swung across the sky bridge, then escaped in a cloud of thick purple smoke.
6.The villain soared between the clouds, then floated away on a giant soapy bubble.
7.The villain zipped over the canyon, then escaped in a cloud of thick purple smoke.
8.The villain soared between the clouds, then escaped in a cloud of thick purple smoke.
9.The villain zipped over the canyon, then climbed up the metal tower with ease.
10.The villain soared between the clouds, then distracted the guards with bright sparks.
11.The villain swung across the sky bridge, then distracted the guards with bright sparks.
12.The villain soared between the clouds, then climbed up the metal tower with ease.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 5 math
Math topics
Rounding, Place value, Fractions of a number, Order of operations, Division
Reading level
grades 3-4
Theme
The Sky Island Compass Chase — set in floating Sky Archipelago
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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