🔎 DiamondGrade 9Reading: grades 7-9RoundingWord problemsFractions of a numberTwo-step equations
The Great Carat Caper
A daring heist has shocked Glitter City! The priceless Hope Star Diamond has been stolen from the Grand Vault of Carats. Detective Facet has arrived at the scene, but the thief has left a series of encrypted math locks on the security database. To identify the diamond thief and recover the gem, you must decode the clues left behind!
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 | Heist Gear | Escape Method | Dominant Hand | Hair Color | Vulnerability |
|---|---|---|---|---|---|
| Ruby Regent | Magnet Glove | Jet Pack | Right-handed | Glitter Gold | Sticky Foam |
| Eska Emery | Acid Spray | Gravity Belt | Right-handed | Glitter Gold | Sticky Foam |
| Jasper Carbon | Laser Cutter | Smoke Grenade | Left-handed | Glitter Gold | Bright Flashlight |
| Crystal Sterling | Acid Spray | Hologram Cloak | Right-handed | Neon Pink | Sticky Foam |
| Shimmer Shaw | Sonic Drill | Gravity Belt | Left-handed | Glitter Gold | High Pitch Whistle |
| Alissa Hope | Magnet Glove | Gravity Belt | Left-handed | Silver | Sticky Foam |
| Gemma Stone | Laser Cutter | Hologram Cloak | Left-handed | Silver | Bright Flashlight |
| Karat Vance | Magnet Glove | Jet Pack | Left-handed | Silver | High Pitch Whistle |
| Beryl Bragg | Glass Boots | Jet Pack | Right-handed | Glitter Gold | High Pitch Whistle |
| Carbon Cole | Sonic Drill | Jet Pack | Left-handed | Glitter Gold | High Pitch Whistle |
| Mica Miller | Glass Boots | Jet Pack | Right-handed | Glitter Gold | Bright Flashlight |
| Flint Frost | Laser Cutter | Gravity Belt | Left-handed | Glitter Gold | High Pitch Whistle |
| Facet Finch | Acid Spray | Gravity Belt | Left-handed | Glitter Gold | High Pitch Whistle |
| Glimmer Gray | Acid Spray | Hologram Cloak | Left-handed | Silver | High Pitch Whistle |
| Jewel Jordan | Sonic Drill | Glider Wings | Right-handed | Silver | Sticky Foam |
| Luster Lane | Laser Cutter | Jet Pack | Right-handed | Neon Pink | Bright Flashlight |
| Prism Pierce | Glass Boots | Smoke Grenade | Right-handed | Silver | Bright Flashlight |
| Sterling Flint | Acid Spray | Smoke Grenade | Right-handed | Glitter Gold | High Pitch Whistle |
| Tiffany Co | Glass Boots | Gravity Belt | Left-handed | Glitter Gold | High Pitch Whistle |
| Opal Orlov | Sonic Drill | Jet Pack | Right-handed | Neon Pink | Bright Flashlight |
| Spark Sterling | Glass Boots | Hologram Cloak | Right-handed | Neon Pink | High Pitch Whistle |
Clue 1
Rounding
The vault inventory ledger is encoded in a word puzzle about diamond weights. Solve the math problem to unlock the suspect's gear profile.
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
110
900
2300
T
110
900
700
2300
2900
1100
170
2300
3000
2000
170
T
110
1700
3000
2300
290
4300
2300
T
110
9000
290
500
430
Round 112 to the nearest tenT
Round 2,924 to the nearest hundredF
Round 1,853 to the nearest thousandN
Round 171 to the nearest tenO
Round 912 to the nearest hundredH
Round 512 to the nearest hundredC
Round 712 to the nearest hundredI
Round 1,726 to the nearest hundredU
Round 2,298 to the nearest hundredE
Round 1,067 to the nearest hundredD
Round 3,375 to the nearest thousandS
Round 4,307 to the nearest hundredJ
Round 428 to the nearest tenK
Round 290 to the nearest tenA
Round 8,924 to the nearest thousandP
0/15 letters found
Clue 2
Word problems
A security scanner caught a blurry laser distance reading. Since the sensors only display rounded numbers, you must round the values to decode the thief's physical tell.
Solve each problem to learn its letter, then write the letters in the boxes to fill in the missing word.
Awitnesssawthevillainwas .
L
39
73
56
25
69
65
68
D
73
D
Detective Facet found 22 carats of diamond yesterday and 17 more today. How many carats of diamond in all?L
There were 93 polishing cloths. 28 were used up. How many polishing cloths are left?A
Detective Facet found 16 security badges yesterday and 57 more today. How many security badges in all?E
Detective Facet found 23 carats of diamond yesterday and 46 more today. How many carats of diamond in all?H
There were 79 security badges. 23 were used up. How many security badges are left?F
Detective Facet lined up 5 rows of 5 carats of diamond. How many carats of diamond in all?T
There were 88 carats of diamond. 20 were used up. How many carats of diamond are left?N
0/7 letters found
Clue 3
Fractions of a number
The vault floor was littered with fractioned gem fragments. Work out the exact fractional weight to discover what weapon the guards used to fend off 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.
T
36
6
45
50
55
31
31
54
55
21
12
6
56
55
21
46
12
26
56
35
11
31
35
44
16
60
6
55
12
T
36
31
45
12
2/3 of 54 =T
1/3 of 132 =U
2/6 of 165 =I
4/8 of 92 =K
1/5 of 55 =M
2/5 of 15 =H
4/6 of 90 =W
3/4 of 28 =N
1/3 of 168 =R
7/8 of 40 =O
3/6 of 62 =L
4/8 of 52 =F
1/4 of 200 =V
2/4 of 32 =D
1/10 of 120 =S
9/10 of 60 =A
5/10 of 90 =E
0/17 letters found
Clue 4
Two-step equations
A dual-stage pressure lock blocks the security cameras. Solve the two-step frequency equation to power up the video and reveal the thief's hair color.
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
11
13
19
5
10
16
4
7
2
3
8
16
4
7
5
19
18
21
17
2
2
13
3
18
5
21
4
20
8
17
3
4x + 5 = 49, x =W
3x + 9 = 21, x =D
6x + 12 = 138, x =L
4x + 7 = 79, x =G
9x + 11 = 38, x =R
5x + 10 = 20, x =T
5x + 5 = 30, x =O
9x + 3 = 156, x =I
5x + 6 = 56, x =U
5x + 1 = 66, x =E
4x + 2 = 34, x =A
7x + 4 = 116, x =N
3x + 3 = 63, x =H
9x + 11 = 182, x =F
5x + 9 = 44, x =S
0/15 letters found
Clue 5
Fractions of a number — the last clue
The thief dropped a fraction of their stolen loot during the getaway. Calculate the exact count of recovered gems to open the final evidence file.
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
1/10 of 80 = ?
2/10 of 45 = ?
7/8 of 8 = ?
2/10 of 55 = ?
3/4 of 16 = ?
1/2 of 10 = ?
2/10 of 20 = ?
4/8 of 2 = ?
2/4 of 12 = ?
4/10 of 5 = ?
2/6 of 9 = ?
Step 2 — cross out the sentence with each answer
1.The villain melted the steel security bars with acid, then fooled the guards with a hologram decoy.
2.The villain shattered the floor pressure plates with boots, then vanished in a thick cloud of smoke.
3.The villain snatched the gemstone with a magnetic glove, then floated over the pressure-sensitive floor.
4.The villain snatched the gemstone with a magnetic glove, then fooled the guards with a hologram decoy.
5.The villain melted the steel security bars with acid, then sailed off the roof on sleek wings.
6.The villain drilled through the vault door silently, then vanished in a thick cloud of smoke.
7.The villain sliced the glass display case with a laser, then floated over the pressure-sensitive floor.
8.The villain melted the steel security bars with acid, then floated over the pressure-sensitive floor.
9.The villain drilled through the vault door silently, then floated over the pressure-sensitive floor.
10.The villain shattered the floor pressure plates with boots, then floated over the pressure-sensitive floor.
11.The villain drilled through the vault door silently, then fooled the guards with a hologram decoy.
12.The villain snatched the gemstone with a magnetic glove, then escaped out the skylight using a rocket.
Solve it
Name the culprit
Choose the one suspect left standing.
Answer Key — The Great Carat Caper
Culprit: Tiffany Co (Glass Boots · Gravity Belt · Left-handed · Glitter Gold · High Pitch Whistle)
- Clue 1 (Rounding): "THE THIEF DOES NOT USE A JET PACK"Round 112 to the nearest ten = 110 (T) · Round 2,924 to the nearest hundred = 2900 (F) · Round 1,853 to the nearest thousand = 2000 (N) · Round 171 to the nearest ten = 170 (O) · Round 912 to the nearest hundred = 900 (H) · Round 512 to the nearest hundred = 500 (C) · Round 712 to the nearest hundred = 700 (I) · Round 1,726 to the nearest hundred = 1700 (U) · Round 2,298 to the nearest hundred = 2300 (E) · Round 1,067 to the nearest hundred = 1100 (D) · Round 3,375 to the nearest thousand = 3000 (S) · Round 4,307 to the nearest hundred = 4300 (J) · Round 428 to the nearest ten = 430 (K) · Round 290 to the nearest ten = 290 (A) · Round 8,924 to the nearest thousand = 9000 (P)
- Clue 2 (Word problems): "LEFT HANDED"Detective Facet found 22 carats of diamond yesterday and 17 more today. How many carats of diamond in all? = 39 (L) · There were 93 polishing cloths. 28 were used up. How many polishing cloths are left? = 65 (A) · Detective Facet found 16 security badges yesterday and 57 more today. How many security badges in all? = 73 (E) · Detective Facet found 23 carats of diamond yesterday and 46 more today. How many carats of diamond in all? = 69 (H) · There were 79 security badges. 23 were used up. How many security badges are left? = 56 (F) · Detective Facet lined up 5 rows of 5 carats of diamond. How many carats of diamond in all? = 25 (T) · There were 88 carats of diamond. 20 were used up. How many carats of diamond are left? = 68 (N)
- Clue 3 (Fractions of a number): "THE VILLAIN SHRINKS FROM LOUD WHISTLES"2/3 of 54 = 36 (T) · 1/3 of 132 = 44 (U) · 2/6 of 165 = 55 (I) · 4/8 of 92 = 46 (K) · 1/5 of 55 = 11 (M) · 2/5 of 15 = 6 (H) · 4/6 of 90 = 60 (W) · 3/4 of 28 = 21 (N) · 1/3 of 168 = 56 (R) · 7/8 of 40 = 35 (O) · 3/6 of 62 = 31 (L) · 4/8 of 52 = 26 (F) · 1/4 of 200 = 50 (V) · 2/4 of 32 = 16 (D) · 1/10 of 120 = 12 (S) · 9/10 of 60 = 54 (A) · 5/10 of 90 = 45 (E)
- Clue 4 (Two-step equations): "WE FOUND STRANDS OF GLITTER GOLD HAIR"4x + 5 = 49, x = 11 (W) · 3x + 9 = 21, x = 4 (D) · 6x + 12 = 138, x = 21 (L) · 4x + 7 = 79, x = 18 (G) · 9x + 11 = 38, x = 3 (R) · 5x + 10 = 20, x = 2 (T) · 5x + 5 = 30, x = 5 (O) · 9x + 3 = 156, x = 17 (I) · 5x + 6 = 56, x = 10 (U) · 5x + 1 = 66, x = 13 (E) · 4x + 2 = 34, x = 8 (A) · 7x + 4 = 116, x = 16 (N) · 3x + 3 = 63, x = 20 (H) · 9x + 11 = 182, x = 19 (F) · 5x + 9 = 44, x = 7 (S)
- Clue 5 (Fractions of a number): surviving statement (box 10) → Tiffany Co1/10 of 80 = 8 · 2/10 of 45 = 9 · 7/8 of 8 = 7 · 2/10 of 55 = 11 · 3/4 of 16 = 12 · 1/2 of 10 = 5 · 2/10 of 20 = 4 · 4/8 of 2 = 1 · 2/4 of 12 = 6 · 4/10 of 5 = 2 · 2/6 of 9 = 3
About this mystery
- Grade level
- Grade 9 math
- Math topics
- Rounding, Word problems, Fractions of a number, Two-step equations
- Reading level
- grades 7-9
- Theme
- The Great Carat Caper — set in Glitter City Diamond Vault
- Format
- Interactive online & printable worksheet with answer key
- Solution
- One unique, verified culprit among 21 suspects