Math Detective Challenge Worksheet
Elite Sleuth • Mission 1 Expert Enrichment
Math Detective Challenge Worksheet
Agent:
Date:
Badge:
!
Super Sleuth Directive: These high-level cases require multi-step reasoning, compensation strategies, and double checks!
Phase 1
1
Case 1: Heavyweight Balance Scales
Calculate the total weight of both sides to discover the unknown!
Vault Alpha Target: 21
7 + 8 + 6
12 +
Missing number is:
Vault Beta Sub-Balance
+ 7
25 − 9
Missing number is:
Vault Gamma Brain Strain
30 − 12
9 + 4 +
Missing number is:
2
Case 2: Master Number Dossiers
Combine place value, parity, and algebraic logic!
Suspect Shadow
- • I am an odd number between 20 and 30.
- • The sum of my two digits is 7.
- • Double 12 plus 1 equals me!
Mystery Number
Suspect Phantom
- • I am greater than 15 and less than 25.
- • Subtract 9 from me to make 13.
- • Two same numbers make me: \( 11 + 11 \).
Mystery Number
Suspect Cipher
- • I have 2 tens. My ones digit is 3 more than my tens digit.
- • If you start at 30 and count back 5, you land on me.
- • I am 10 less than 35.
Mystery Number
Deduction Proof: Write an addition or subtraction fact that proves Suspect Shadow:
Page 1 Verified:
Pass
Classified Dossier • Phase 2 Algebraic Sleuth
Codebreaker & Vault Challenges
Agent Name:
3
Case 3: Four-Shape Algebraic Codebreaker
Solve in order from #1 to #4 to crack each variable!
#1 ● + ● + ● = 21
● =
#2 ● + ▲ = 16
▲ =
#3 ▲ + ■ = 20
■ =
#4 ■ − ◆ = 5
◆ =
Grand Master Safe: ● + ■ − ◆ =
Final Code:
4
Case 4: The Equivalence Vault
Carefully test both sides. Circle TRUE or FALSE!
Door 201 Associative
8 + 6 + 4 = 10 + 8
Equal?
TRUE FALSE
Door 202 Subtraction Cross
24 − 8 = 9 + 7
Equal?
TRUE FALSE
Door 203 Near-Miss Trap
17 − 9 + 6 = 20 − 5
Equal?
TRUE FALSE
Door 204 Tens Structure
13 + 13 = 30 − 4
Equal?
TRUE FALSE
Grandmaster Challenge: Design a Balanced Equation for 24
Left side addition, Right side subtraction!
=
−
Phase 2 Verification Complete Proceed to Phase 3 Classified Grids dossier.
Checkpoint 2 Chief Sleuth
Classified Dossier • Phase 3 The Escape Vault
Logic Grids & Magic Triangles
Agent Name:
Final Clearance: Interlocking numbers must satisfy multiple equations simultaneously!
Phase 3
5
Case 5: The Magic Perimeter Triangles
The 3 numbers along each side must add up to the Target Sum!
Triangle Alpha Target Side Sum = 16
5
7
3
Left: 5 + __ + 7 = 16 • Right: 5 + __ + 3 = 16 • Base: 7 + __ + 3 = 16
Triangle Beta Target Side Sum = 20
3
9
6
Find the top peak first: __ + 3 + 9 = 20!
6
Case 6: Cross-Number Logic Lockers
Every row across AND column down must be true!
Cross-Lock 01 All Digits Unique
= 15
−
= 4
= = =
17 + 10 =
Cross-Lock 02 Subtraction Drops
= 18
− − =
= 12
= = =
3 + 3 =
Final Case 7: The Mastermind Escape Cipher
Ultimate Deduction
• I am a number between 20 and 50.
• You can make me by adding three identical numbers: \( \Box + \Box + \Box \).
• If you subtract 7 from me, you get an even number that ends in 0.
Escape Code
Math Detective Agency • Top Operative Completed all 7 advanced operational cases with full honors.
Final Seal Master Operative