Math Mysteries
🔎 The great capacity caperGrade 5Reading: grades 5-6Fractions of a numberMultiplicationRoundingOrder of operations

The Great Capacity Caper

A sneaky saboteur has invaded the world-famous Fizz-O-Matic Juice Lab! They scrambled all the capacity labels on the giant mixing tanks, threatening to flood the city with sticky neon punch. We must calculate the correct volumes to restore order and catch the culprit before the grand opening!

Suspects

Possible suspects

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

21 of 21 still in play
NameBlender PowerSecret IngredientDominant HandHair EvidenceClean Up Tool
Vince Valvefunnel vortexsour powderleft-handed pouringspiky hairsponge wipe
Bella Blendersyrup spraysweet crystalsright-handed pouringslicked hairsoap bubbles
Mason Measurementsyrup sprayfizz dropsright-handed pouringspiky hairsponge wipe
Gus Gallonflask freezeneon dyeright-handed pouringspiky hairsponge wipe
Professor Pourcarbonation blastheavy yeastright-handed pouringspiky hairplain water
Fiona Fizzfunnel vortexheavy yeastright-handed pouringcurly hairsponge wipe
Walter Waterstream beamneon dyeright-handed pouringspiky hairsponge wipe
Pip Pippermintsyrup sprayfizz dropsleft-handed pouringslicked hairsponge wipe
Sloane Splashflask freezesweet crystalsright-handed pouringslicked hairsponge wipe
Sally Syrupsyrup sprayfizz dropsright-handed pouringcurly hairsoap bubbles
Quincy Quartcarbonation blastfizz dropsleft-handed pouringcurly hairplain water
Celia Cylinderflask freezefizz dropsleft-handed pouringspiky hairsoap bubbles
Beaker Bobflask freezesour powderright-handed pouringslicked hairplain water
Sammy Squeezefunnel vortexheavy yeastleft-handed pouringspiky hairplain water
Clara Cupcarbonation blastneon dyeright-handed pouringspiky hairsponge wipe
Milton Millilitercarbonation blastheavy yeastright-handed pouringslicked hairsoap bubbles
Gemma Gushsyrup spraysour powderright-handed pouringspiky hairsponge wipe
Penny Pintcarbonation blastsweet crystalsleft-handed pouringcurly hairplain water
Barnaby Bubblesstream beamsweet crystalsleft-handed pouringspiky hairsponge wipe
Dexter Dilutesyrup sprayheavy yeastright-handed pouringspiky hairplain water
Lulu Litercarbonation blastneon dyeleft-handed pouringspiky hairplain water
Clue 1

Fractions of a number

To find the thief's escape route, we must calculate a fraction of the total gallon tanks that were tampered with last night.

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
23
17
7
40
31
18
39
25
27
T
23
21
37
7
32
20
37
T
23
31
32
7
28
27
5
5
21
25
37
39
32
1/6 of 138 =T
1/4 of 124 =U
3/4 of 52 =P
3/8 of 56 =D
1/6 of 30 =Z
2/4 of 80 =C
4/5 of 25 =N
2/6 of 51 =H
2/6 of 111 =O
2/6 of 96 =S
3/4 of 36 =I
2/10 of 35 =E
3/5 of 30 =L
1/3 of 75 =R
1/2 of 56 =F
0/15 letters found
Clue 2

Multiplication facts (1-12)

The thief left a trail of identical spilled juice boxes. We can find the total volume lost by multiplying the rows by the boxes in each row.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

R
35
18
72
96
42
96
55
54
44
1
44
36
81
14
10
42
81
55
42
42
1
R
35
54
14
54
80
55
60
60
7 × 5 =R
6 × 9 =N
10 × 8 =W
9 × 9 =P
3 × 12 =S
2 × 7 =O
8 × 12 =H
6 × 3 =I
4 × 11 =D
8 × 9 =G
1 × 1 =E
6 × 10 =L
11 × 5 =A
10 × 1 =U
6 × 7 =T
0/15 letters found
Clue 3

Rounding

A damaged pressure gauge on Vat Four only shows estimated numbers, so we have to round the final liter reading to the nearest ten to unlock the logbook.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

S
2300
2900
170
7000
1700
130
9000
4300
2900
130
130
370
30
S
2300
130
50
700
5000
130
4300
370
2900
170
9000
130
370
Round 2,262 to the nearest hundredS
Round 2,912 to the nearest hundredP
Round 4,313 to the nearest hundredI
Round 134 to the nearest tenE
Round 54 to the nearest tenD
Round 9,135 to the nearest thousandW
Round 7,384 to the nearest thousandN
Round 1,748 to the nearest hundredG
Round 4,738 to the nearest thousandH
Round 174 to the nearest tenO
Round 29 to the nearest tenA
Round 374 to the nearest tenR
Round 715 to the nearest hundredT
0/13 letters found
Clue 4

Order of operations

We found a torn scrap of paper with the thief's secret recipe steps. Solve the equation in the correct order of operations to find the code.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

S
33
79
24
57
45
53
46
24
S
33
28
72
36
S
33
72
36
34
28
9
28
28
58
36
S
33
10
36
38
36
6 × 8 - 15 =S
3 + 5 × 5 =T
60 + 4 × 3 =L
3 × 8 - 14 =C
6 × 11 - 30 =E
4 × 12 - 14 =F
5 + 2 × 2 =A
11 × 9 - 20 =P
12 + 9 × 5 =K
31 + 5 × 3 =R
20 + 2 × 2 =I
12 × 4 - 10 =N
39 + 7 × 2 =B
27 + 2 × 9 =Y
9 × 9 - 23 =H
0/15 letters found
Clue 5

Fractions of a number — the last clue

Only a fraction of the original flavor syrup remains in the giant beaker. Figure out how many milliliters are left to trace where the thief went next.

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
1/6 of 48 = ?
7/8 of 8 = ?
2/8 of 44 = ?
3/4 of 12 = ?
1/8 of 8 = ?
5/10 of 8 = ?
3/4 of 16 = ?
2/4 of 10 = ?
2/5 of 25 = ?
1/10 of 30 = ?
5/10 of 4 = ?
Step 2 — cross out the sentence with each answer
1.The villain overfilled the mixing vat, then stole the master beaker.
2.The villain swapped the liter labels, then fled through the drainage duct.
3.The villain diluted the secret formula, then splashed sticky foam everywhere.
4.The villain clogged the intake pipe, then scrambled the pressure dials.
5.The villain drained the main reserve, then fled through the drainage duct.
6.The villain swapped the liter labels, then splashed sticky foam everywhere.
7.The villain overfilled the mixing vat, then splashed sticky foam everywhere.
8.The villain drained the main reserve, then stole the master beaker.
9.The villain swapped the liter labels, then stole the master beaker.
10.The villain clogged the intake pipe, then dropped a wet measuring cup.
11.The villain clogged the intake pipe, then splashed sticky foam everywhere.
12.The villain drained the main reserve, then dropped a wet measuring cup.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 5 math
Math topics
Fractions of a number, Multiplication, Rounding, Order of operations
Reading level
grades 5-6
Theme
The Great Capacity Caper — set in Fizz-O-Matic Juice Laboratory
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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