To solve this puzzle, we need to match each number in the message lines with the correct letter from the key at the top. The key gives us a multiplication problem for each letter. We will solve those problems first to know which letter matches which number.
Step 1: Solve the Key
Let's calculate the value for each letter:
*
A: $11 \times 11 = 121$
*
C: $3 \times 50 = 150$
*
D: $20 \times 5 = 100$
*
G: $4 \times 60 = 240$
*
H: $10 \times 40 = 400$
*
L: $8 \times 9 = 72$
*
Y: $6 \times 90 = 540$
*
N: $9 \times 7 = 63$
*
O: $8 \times 6 = 48$
*
P: $60 \times 2 = 120$
*
I: $76 \times 10 = 760$
*
S: $15 \times 2 = 30$
*
W: $7 \times 6 = 42$
*
U: $9 \times 12 = 108$
Now we have our code:
* 121 = A
* 150 = C
* 100 = D
* 240 = G
* 400 = H
* 72 = L
* 540 = Y
* 63 = N
* 48 = O
* 120 = P
* 760 = I
* 30 = S
* 42 = W
* 108 = U
Step 2: Decode the Message
Now let's look at the rows of numbers and replace them with letters using our code.
Row 1: `42 760 30 400 760 63 240` ... `540 48 108`
* 42 → W
* 760 → I
* 30 → S
* 400 → H
* 760 → I
* 63 → N
* 240 → G
* *(space)*
* 540 → Y
* 48 → O
* 108 → U
*
Word: WISHING YOU
Row 2: `121` ... `400 121 120 120 540`
* 121 → A
* *(space)*
* 400 → H
* 121 → A
* 120 → P
* 120 → P
* 540 → Y
*
Word: A HAPPY
Row 3: `30 150 400 48 48 72`
* 30 → S
* 150 → C
* 400 → H
* 48 → O
* 48 → O
* 72 → L
*
Word: SCHOOL
Row 4: `400 48 72 760 100 121 540`
* 400 → H
* 48 → O
* 72 → L
* 760 → I
* 100 → D
* 121 → A
* 540 → Y
*
Word: HOLIDAY
Step 3: Put it all together
The full message is:
WISHING YOU A HAPPY SCHOOL HOLIDAY
Final Answer:
WISHING YOU A HAPPY SCHOOL HOLIDAY
Parent Tip: Review the logic above to help your child master the concept of get the message math worksheet.