🔎 DiamondGrade 10Reading: grades 7-9Fractions of a numberWord problemsRoundingPythagorean theorem
The Heist of the Prism Heart
The legendary Prism Heart diamond has vanished from the high-security Carbon Vault. The motion sensors were offline for exactly forty seconds, leaving behind only a trail of high-tech debris. Security needs you to analyze the digital clues, solve the math puzzles, and identify which rogue agent stole the jewel.
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 | primary tool | security bypass method | dominant hand | leftover fiber color | gear malfunction |
|---|---|---|---|---|---|
| Karat Vance | vibro-drill | decoy holo-emitters | right-handed | gold glitter thread | overheated power pack |
| Slick Sterling | plasma torch | hacked security drones | right-handed | silver wig fiber | overheated power pack |
| Dane Diamond | vibro-drill | magnetic boots | left-handed | gold glitter thread | overheated power pack |
| Roxy Rough | plasma torch | hacked security drones | left-handed | neon blue nylon strand | leaking hydraulic fluid |
| Victor Vault | sonic chisel | EMP interference | left-handed | gold glitter thread | leaking hydraulic fluid |
| Nova Prism | plasma torch | EMP interference | left-handed | neon blue nylon strand | shattered optic visor |
| Agent Kimberlite | vibro-drill | decoy holo-emitters | right-handed | silver wig fiber | shattered optic visor |
| Jasper Crest | plasma torch | EMP interference | left-handed | gold glitter thread | overheated power pack |
| Flint Luster | plasma torch | magnetic boots | right-handed | silver wig fiber | leaking hydraulic fluid |
| Gemma Stone | plasma torch | hacked security drones | right-handed | neon blue nylon strand | shattered optic visor |
| Piper Pyrite | liquid nitrogen spray | hacked security drones | right-handed | silver wig fiber | overheated power pack |
| Elena Carbon | sonic chisel | hacked security drones | left-handed | neon blue nylon strand | leaking hydraulic fluid |
| Jewel Jameson | sonic chisel | EMP interference | right-handed | neon blue nylon strand | leaking hydraulic fluid |
| Gideon Glint | plasma torch | EMP interference | right-handed | neon blue nylon strand | leaking hydraulic fluid |
| Beryl Brooks | liquid nitrogen spray | EMP interference | right-handed | gold glitter thread | leaking hydraulic fluid |
| Tristan Trellis | plasma torch | decoy holo-emitters | left-handed | neon blue nylon strand | leaking hydraulic fluid |
| Miles Matrix | sonic chisel | EMP interference | left-handed | neon blue nylon strand | leaking hydraulic fluid |
| Sloane Shimmer | plasma torch | EMP interference | left-handed | gold glitter thread | shattered optic visor |
| Sterling Spark | sonic chisel | decoy holo-emitters | right-handed | silver wig fiber | overheated power pack |
| Clara Carat | sonic chisel | magnetic boots | left-handed | neon blue nylon strand | leaking hydraulic fluid |
| Zane Quartz | vibro-drill | decoy holo-emitters | left-handed | neon blue nylon strand | leaking hydraulic fluid |
Clue 1
Fractions of a number
To narrow down our suspect list, we must catalog the museum's security badges. Calculate the fraction of active badges remaining to unlock the suspect database.
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
55
12
32
46
7
21
21
51
7
14
57
7
57
14
13
T
55
12
51
58
23
34
32
58
19
10
7
T
55
49
57
10
13
14
32
34
2/4 of 110 =T
6/10 of 35 =L
1/8 of 56 =I
1/4 of 196 =Y
5/10 of 116 =C
4/10 of 115 =V
2/4 of 64 =E
1/8 of 184 =K
2/6 of 39 =O
2/4 of 28 =N
1/10 of 120 =H
4/8 of 38 =U
4/8 of 20 =R
4/6 of 51 =S
4/8 of 114 =D
5/10 of 102 =A
0/16 letters found
Clue 2
Word problems
We found a pile of discarded technical gear near the escape hatch. Solving these inventory problems will tell us what the thief used to bypass the motion sensors.
Solve each problem to learn its letter, then write the letters in the boxes to fill in the missing word.
Awitnesssawthevillainwas .
L
81
75
64
42
96
112
79
D
75
D
There were 101 geiger counters. 20 were used up. How many geiger counters are left?L
There were 130 diamonds. 18 were used up. How many diamonds are left?A
Chief Geologist found 40 lenses yesterday and 56 more today. How many lenses in all?H
Chief Geologist found 12 diamonds yesterday and 67 more today. How many diamonds in all?N
Chief Geologist found 34 lasers yesterday and 41 more today. How many lasers in all?E
Chief Geologist lined up 7 rows of 6 geiger counters. How many geiger counters in all?T
Chief Geologist found 11 diamonds yesterday and 53 more today. How many diamonds in all?F
0/7 letters found
Clue 3
Rounding
The heat sensors on the safe recorded a temperature spike, but the low-tech system rounded the exact digits. Round the numbers to reveal the thief's escape path.
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
200
3000
290
130
2000
50
3700
7000
110
2300
7000
5000
430
130
290
430
3000
7000
900
5000
50
300
170
4300
3700
2300
7000
2000
430
5000
1100
290
430
2000
5000
3700
Round 162 to the nearest hundredW
Round 3,741 to the nearest hundredD
Round 2,238 to the nearest thousandU
Round 1,083 to the nearest hundredC
Round 2,340 to the nearest hundredR
Round 6,610 to the nearest thousandA
Round 4,266 to the nearest hundredY
Round 109 to the nearest tenT
Round 49 to the nearest tenN
Round 289 to the nearest tenF
Round 174 to the nearest tenH
Round 432 to the nearest tenL
Round 297 to the nearest hundredG
Round 886 to the nearest hundredK
Round 127 to the nearest tenO
Round 4,510 to the nearest thousandI
Round 3,245 to the nearest thousandE
0/17 letters found
Clue 4
Pythagorean theorem
The thief crossed a courtyard guarded by intersecting security laser beams. Use the right-triangle formula to trace their path and locate the evidence they dropped.
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
30
20
74
50
20
29
65
52
74
20
51
65
50
20
5
41
68
A
30
20
13
10
A
30
5
85
20
41
39
74
58
74
20
41
legs 18 and 24, hypotenuse =A
legs 14 and 48, hypotenuse =O
legs 5 and 12, hypotenuse =D
legs 15 and 36, hypotenuse =H
legs 9 and 40, hypotenuse =T
legs 40 and 75, hypotenuse =I
legs 3 and 4, hypotenuse =S
legs 32 and 60, hypotenuse =R
legs 24 and 70, hypotenuse =E
legs 40 and 42, hypotenuse =V
legs 20 and 21, hypotenuse =B
legs 6 and 8, hypotenuse =W
legs 24 and 45, hypotenuse =Y
legs 25 and 60, hypotenuse =L
legs 20 and 48, hypotenuse =U
legs 12 and 16, hypotenuse =N
0/16 letters found
Clue 5
Fractions of a number — the last clue
We retrieved a shredded digital file containing the culprit's hair analysis. Determine the fraction of restored data packets to piece together the final lab report.
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
1/4 of 16 = ?
2/6 of 15 = ?
4/6 of 18 = ?
1/8 of 72 = ?
5/6 of 12 = ?
5/10 of 4 = ?
2/3 of 12 = ?
1/5 of 5 = ?
2/10 of 15 = ?
2/8 of 44 = ?
6/8 of 8 = ?
Step 2 — cross out the sentence with each answer
1.The villain bored through the vault wall with a vibro-drill, then opened the inner gate using cloned fingerprint keys.
2.The villain carved a clean hole with a laser glass cutter, then opened the inner gate using cloned fingerprint keys.
3.The villain carved a clean hole with a laser glass cutter, then disabled the alarm grid with EMP interference.
4.The villain melted the lock using a plasma torch, then scrambled the pursuit teams with decoy holo-emitters.
5.The villain shattered the casing with a sonic chisel, then disabled the alarm grid with EMP interference.
6.The villain melted the lock using a plasma torch, then disabled the alarm grid with EMP interference.
7.The villain shattered the casing with a sonic chisel, then scaled the elevator shaft using magnetic boots.
8.The villain froze the vault hinges with liquid nitrogen spray, then opened the inner gate using cloned fingerprint keys.
9.The villain melted the lock using a plasma torch, then scaled the elevator shaft using magnetic boots.
10.The villain shattered the casing with a sonic chisel, then opened the inner gate using cloned fingerprint keys.
11.The villain bored through the vault wall with a vibro-drill, then escaped the guards via hacked security drones.
12.The villain bored through the vault wall with a vibro-drill, then scrambled the pursuit teams with decoy holo-emitters.
Solve it
Name the culprit
Choose the one suspect left standing.
Answer Key — The Heist of the Prism Heart
Culprit: Clara Carat (sonic chisel · magnetic boots · left-handed · neon blue nylon strand · leaking hydraulic fluid)
- Clue 1 (Fractions of a number): "THE VILLAIN DID NOT HACK SECURITY DRONES"2/4 of 110 = 55 (T) · 6/10 of 35 = 21 (L) · 1/8 of 56 = 7 (I) · 1/4 of 196 = 49 (Y) · 5/10 of 116 = 58 (C) · 4/10 of 115 = 46 (V) · 2/4 of 64 = 32 (E) · 1/8 of 184 = 23 (K) · 2/6 of 39 = 13 (O) · 2/4 of 28 = 14 (N) · 1/10 of 120 = 12 (H) · 4/8 of 38 = 19 (U) · 4/8 of 20 = 10 (R) · 4/6 of 51 = 34 (S) · 4/8 of 114 = 57 (D) · 5/10 of 102 = 51 (A)
- Clue 2 (Word problems): "LEFT HANDED"There were 101 geiger counters. 20 were used up. How many geiger counters are left? = 81 (L) · There were 130 diamonds. 18 were used up. How many diamonds are left? = 112 (A) · Chief Geologist found 40 lenses yesterday and 56 more today. How many lenses in all? = 96 (H) · Chief Geologist found 12 diamonds yesterday and 67 more today. How many diamonds in all? = 79 (N) · Chief Geologist found 34 lasers yesterday and 41 more today. How many lasers in all? = 75 (E) · Chief Geologist lined up 7 rows of 6 geiger counters. How many geiger counters in all? = 42 (T) · Chief Geologist found 11 diamonds yesterday and 53 more today. How many diamonds in all? = 64 (F)
- Clue 3 (Rounding): "WE FOUND A TRAIL OF LEAKING HYDRAULIC FLUID"Round 162 to the nearest hundred = 200 (W) · Round 3,741 to the nearest hundred = 3700 (D) · Round 2,238 to the nearest thousand = 2000 (U) · Round 1,083 to the nearest hundred = 1100 (C) · Round 2,340 to the nearest hundred = 2300 (R) · Round 6,610 to the nearest thousand = 7000 (A) · Round 4,266 to the nearest hundred = 4300 (Y) · Round 109 to the nearest ten = 110 (T) · Round 49 to the nearest ten = 50 (N) · Round 289 to the nearest ten = 290 (F) · Round 174 to the nearest ten = 170 (H) · Round 432 to the nearest ten = 430 (L) · Round 297 to the nearest hundred = 300 (G) · Round 886 to the nearest hundred = 900 (K) · Round 127 to the nearest ten = 130 (O) · Round 4,510 to the nearest thousand = 5000 (I) · Round 3,245 to the nearest thousand = 3000 (E)
- Clue 4 (Pythagorean theorem): "A NEON BLUE NYLON STRAND WAS IN THE VENT"legs 18 and 24, hypotenuse = 30 (A) · legs 14 and 48, hypotenuse = 50 (O) · legs 5 and 12, hypotenuse = 13 (D) · legs 15 and 36, hypotenuse = 39 (H) · legs 9 and 40, hypotenuse = 41 (T) · legs 40 and 75, hypotenuse = 85 (I) · legs 3 and 4, hypotenuse = 5 (S) · legs 32 and 60, hypotenuse = 68 (R) · legs 24 and 70, hypotenuse = 74 (E) · legs 40 and 42, hypotenuse = 58 (V) · legs 20 and 21, hypotenuse = 29 (B) · legs 6 and 8, hypotenuse = 10 (W) · legs 24 and 45, hypotenuse = 51 (Y) · legs 25 and 60, hypotenuse = 65 (L) · legs 20 and 48, hypotenuse = 52 (U) · legs 12 and 16, hypotenuse = 20 (N)
- Clue 5 (Fractions of a number): surviving statement (box 7) → Clara Carat1/4 of 16 = 4 · 2/6 of 15 = 5 · 4/6 of 18 = 12 · 1/8 of 72 = 9 · 5/6 of 12 = 10 · 5/10 of 4 = 2 · 2/3 of 12 = 8 · 1/5 of 5 = 1 · 2/10 of 15 = 3 · 2/8 of 44 = 11 · 6/8 of 8 = 6
About this mystery
- Grade level
- Grade 10 math
- Math topics
- Fractions of a number, Word problems, Rounding, Pythagorean theorem
- Reading level
- grades 7-9
- Theme
- The Heist of the Prism Heart — set in The Apex Diamond Vault
- Format
- Interactive online & printable worksheet with answer key
- Solution
- One unique, verified culprit among 21 suspects