Math Mysteries
🔎 Classical pianistGrade 9Reading: grades 7-9Two-step equationsExponentsSquare rootsIntegers

The Sonata Sabotage

The prestigious Steinway Tuning Key has vanished hours before the final round of the International Chopin Competition. Without it, the grand piano will fall out of tune, ruining the performance of a lifetime. The culprit has left behind a trail of coded musical scores.

Suspects

Possible suspects

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

21 of 21 still in play
NameSignature PiecePerformance FlairPage Turning StylePerformance HairstylePerformance Distraction
YujaRachmaninoff PreludeDouble OctavesLeft Hand Page TurnBeethoven ShagCoughing Audience
ArthurChopin NocturneHeavy PedalingRight Hand Page TurnBeethoven ShagCoughing Audience
RobertBach PreludeHeavy PedalingLeft Hand Page TurnSleek ChignonSqueaky Bench
AntonLiszt EtudeDouble OctavesRight Hand Page TurnSleek ChignonSticky Keys
IgorRachmaninoff PreludeHeavy PedalingRight Hand Page TurnSleek ChignonSticky Keys
JohannBeethoven SonataDouble OctavesLeft Hand Page TurnSleek ChignonSticky Keys
FelixBeethoven SonataHeavy PedalingLeft Hand Page TurnBeethoven ShagCoughing Audience
ErikChopin NocturneCross Hand PlayLeft Hand Page TurnBeethoven ShagSqueaky Bench
WolfgangBeethoven SonataBlindfolded JumpsRight Hand Page TurnSleek ChignonCoughing Audience
FranzRachmaninoff PreludeRapid ArpeggiosRight Hand Page TurnBeethoven ShagCoughing Audience
MitsukoBeethoven SonataHeavy PedalingRight Hand Page TurnSleek ChignonCoughing Audience
ClaudeBeethoven SonataDouble OctavesRight Hand Page TurnSleek ChignonCoughing Audience
LangBach PreludeBlindfolded JumpsRight Hand Page TurnBeethoven ShagCoughing Audience
MauriceRachmaninoff PreludeCross Hand PlayRight Hand Page TurnSleek ChignonCoughing Audience
FredericBeethoven SonataHeavy PedalingLeft Hand Page TurnClassical PartSticky Keys
MarthaBach PreludeRapid ArpeggiosRight Hand Page TurnBeethoven ShagSticky Keys
LudwigRachmaninoff PreludeRapid ArpeggiosRight Hand Page TurnBeethoven ShagSticky Keys
ClaraRachmaninoff PreludeBlindfolded JumpsLeft Hand Page TurnBeethoven ShagSqueaky Bench
SergeiLiszt EtudeBlindfolded JumpsRight Hand Page TurnBeethoven ShagSqueaky Bench
HectorLiszt EtudeRapid ArpeggiosRight Hand Page TurnBeethoven ShagCoughing Audience
PyotrBeethoven SonataHeavy PedalingRight Hand Page TurnBeethoven ShagCoughing Audience
Clue 1

Two-step equations

To unlock the backstage double-doors, you must solve for the unknown variables on the twin-dial combination lock.

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
5
14
11
10
17
7
7
8
17
16
22
6
11
20
16
6
T
5
9
20
11
3
7
17
16
22
18
6
7
22
11
22
2
9
4
19
20
6x + 9 = 39, x =T
9x + 6 = 33, x =B
5x + 12 = 42, x =O
6x + 7 = 73, x =E
4x + 10 = 38, x =L
9x + 7 = 97, x =V
3x + 1 = 61, x =S
4x + 9 = 73, x =N
8x + 2 = 18, x =J
9x + 4 = 175, x =P
9x + 11 = 137, x =H
6x + 6 = 108, x =I
8x + 6 = 150, x =F
4x + 12 = 28, x =M
7x + 10 = 66, x =A
4x + 3 = 39, x =U
3x + 5 = 71, x =D
0/17 letters found
Clue 2

Exponents

The soundboard decibel readings multiply exponentially with each octave. Calculate the power of the amplifier to find the clue.

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
324
216
625
361
400
361
64
625
169
T
324
T
324
400
441
8
625
32
64
225
256
625
361
512
49
T
324
216
T
324
216
625
441
49
256
216
T
324
216
225
8
32
18^2 =T
20^2 =U
2^5 =D
5^4 =E
7^2 =I
2^3 =N
13^2 =C
19^2 =S
15^2 =A
8^2 =P
21^2 =R
6^3 =H
8^3 =W
16^2 =G
0/14 letters found
Clue 3

Square roots

The grand piano string lengths are calculated using a square root function. Find the base length to uncover the hidden note.

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
16
14
6
19
25
20
3
11
25
A
16
19
15
3
7
11
14
7
23
3
21
21
12
19
3
11
10
20
7
14
6
11
14
7
12
10
sqrt(256) =A
sqrt(100) =T
sqrt(9) =I
sqrt(121) =N
sqrt(144) =R
sqrt(529) =W
sqrt(196) =C
sqrt(225) =D
sqrt(49) =E
sqrt(625) =G
sqrt(400) =H
sqrt(441) =L
sqrt(361) =U
sqrt(36) =O
0/14 letters found
Clue 4

Integers

The pitch pipe can tune notes both above and below absolute pitch. Balance the positive and negative frequencies to hear the clue.

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
38
26
14
25
27
8
10
27
33
26
27
10
27
13
14
14
T
38
26
22
25
14
8
30
26
27
16
34 - (-4) =T
12 - (-2) =E
12 - (-13) =V
22 - (-4) =H
5 - (-5) =D
(-7) + 20 =B
(-14) + 30 =G
(-9) + 36 =A
23 - (-7) =S
13 - (-9) =O
(-9) + 17 =N
(-15) + 48 =L
0/12 letters found
Clue 5

Two-step equations — the last clue

The stage lighting rig requires a two-step equation to balance the wattage of the spotlights against the main house lights.

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
3x + 5 = 35, x = ?
5x + 8 = 23, x = ?
5x + 3 = 28, x = ?
9x + 3 = 12, x = ?
5x + 1 = 46, x = ?
9x + 10 = 118, x = ?
2x + 1 = 13, x = ?
8x + 12 = 68, x = ?
6x + 4 = 28, x = ?
5x + 6 = 16, x = ?
3x + 3 = 36, x = ?
Step 2 — cross out the sentence with each answer
1.The villain plays a Chopin Nocturne at high speed, then leaps blindly with blindfolded jumps.
2.The villain blasts a Bach Prelude on the grand piano, then drowns the room out with heavy pedaling.
3.The villain blares a Rachmaninoff Prelude, then sweeps into rapid arpeggios.
4.The villain blasts a Bach Prelude on the grand piano, then executes a flurry of double octaves.
5.The villain plays a Chopin Nocturne at high speed, then drowns the room out with heavy pedaling.
6.The villain blasts a Bach Prelude on the grand piano, then sweeps into rapid arpeggios.
7.The villain plays a Chopin Nocturne at high speed, then executes a flurry of double octaves.
8.The villain performs a Beethoven Sonata with passion, then drowns the room out with heavy pedaling.
9.The villain blares a Rachmaninoff Prelude, then crosses their hands in a cross-hand play.
10.The villain tears through a Liszt Etude, then sweeps into rapid arpeggios.
11.The villain plays a Chopin Nocturne at high speed, then sweeps into rapid arpeggios.
12.The villain performs a Beethoven Sonata with passion, then leaps blindly with blindfolded jumps.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 9 math
Math topics
Two-step equations, Exponents, Square roots, Integers
Reading level
grades 7-9
Theme
The Sonata Sabotage — set in The Grand Conservatory of Music
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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