Solve the expressions to crack the Secret Spring Code on this fun math worksheet.
A printable math worksheet titled "Secret Spring Code" with expressions to solve, featuring letters A-Z paired with math problems and a code to decode.
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Show Answer Key & Explanations
Step-by-step solution for: 12 6Th Grade Algebra Worksheet Puzzles | Middle school math ...
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Show Answer Key & Explanations
Step-by-step solution for: 12 6Th Grade Algebra Worksheet Puzzles | Middle school math ...
Let’s solve each expression step by step. We’ll calculate the value for each letter, then use those values to fill in the blanks at the bottom to reveal the secret spring code.
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Left Column:
A: (6 + 3) – 5 = 9 – 5 = 4
B: (12 × 2) – 10 = 24 – 10 = 14 → Wait! Let me check again… 12×2=24, minus 10 is 14? But looking ahead, maybe I made a mistake — let’s hold on and do all carefully.
Actually, let’s go one by one with full care:
---
Recalculating ALL expressions carefully:
Left Side:
A: (6 + 3) – 5 = 9 – 5 = 4 ✔
B: (12 × 2) – 10 = 24 – 10 = 14 → Hmm, but later we see numbers like 16, 0, etc. Maybe it’s correct? Let’s keep going.
Wait — perhaps I should write them all down first before matching.
Let me list all letters with their calculated values:
---
Left Column (A to M):
A: (6+3)-5 = 9-5 = 4
B: (12×2)-10 = 24-10 = 14
C: 16 ÷ (56÷7) = 16 ÷ 8 = 2
D: 30 ÷ (15–10) = 30 ÷ 5 = 6
E: (32÷8) ÷ 4 = 4 ÷ 4 = 1
F: 41 – (13×2) = 41 – 26 = 15
G: 29 – (48÷4) = 29 – 12 = 17
H: (8+1) × 3 = 9 × 3 = 27
I: (77÷7) × 3 = 11 × 3 = 33
J: 33 ÷ (20–9) = 33 ÷ 11 = 3
K: (5+15) × 2 = 20 × 2 = 40 → Wait, that seems high. Let me check: 5+15=20, times 2 is 40. Okay.
L: 103 – (9×9) = 103 – 81 = 22
M: (15×1) ÷ 3 = 15 ÷ 3 = 5
---
Right Column (N to Z):
N: (19×5) ÷ 5 = 95 ÷ 5 = 19
O: 44 ÷ (16–12) = 44 ÷ 4 = 11
P: (72÷9) × 2 = 8 × 2 = 16
Q: 12 × (4÷2) = 12 × 2 = 24
R: (81÷9) – 9 = 9 – 9 = 0
S: 144 ÷ (3×4) = 144 ÷ 12 = 12
T: (3+1) × 8 = 4 × 8 = 32
U: (5+5) × 3 = 10 × 3 = 30
V: 27 – (108÷12) = 27 – 9 = 18
W: 35 ÷ (45÷9) = 35 ÷ 5 = 7
X: 120 – (10×10) = 120 – 100 = 20
Y: 30 + (9–4) = 30 + 5 = 35
Z: (63÷7) × 4 = 9 × 4 = 36
---
Now let’s make a quick reference table of Letter → Value:
A=4
B=14
C=2
D=6
E=1
F=15
G=17
H=27
I=33
J=3
K=40
L=22
M=5
N=19
O=11
P=16
Q=24
R=0
S=12
T=32
U=30
V=18
W=7
X=20
Y=35
Z=36
---
Now look at the bottom part — there are lines with numbers under them. We need to find which letter corresponds to each number, and write that letter above the number.
The puzzle says: “once each letter has a numerical value, write the letter above the number.”
So for example, if you see “4”, you find which letter equals 4 → that’s A. So put A above 4.
Let’s decode line by line.
---
First row of blanks:
_ _ _ _ _ _ _ _ _ _ _ _
4 16 0 33 22 12 27 11 7 1 0 12
Find letters:
4 → A
16 → P
0 → R
33 → I
22 → L
Then next group:
12 → S
27 → H
11 → O
7 → W
1 → E
0 → R
12 → S
So first line spells: A P R I L S H O W E R S
That makes sense — “April Showers”!
---
Second row:
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
10 0 33 19 17 5 4 35 15 22 11 7 1 0 12
Wait — 10? Do we have a letter = 10?
Looking back at our list... none of the letters equal 10. Did I miss something?
Wait — let’s double-check calculations.
Did any letter give 10?
Check again:
A=4
B=14
C=2
D=6
E=1
F=15
G=17
H=27
I=33
J=3
K=40
L=22
M=5
N=19
O=11
P=16
Q=24
R=0
S=12
T=32
U=30
V=18
W=7
X=20
Y=35
Z=36
No 10. But in the second row, first number is 10. That can’t be right.
Wait — maybe I miscalculated one of the expressions?
Let me recheck expressions that might give 10.
Look at J: 33 ÷ (20–9) = 33 ÷ 11 = 3 → correct.
What about C: 16 ÷ (56÷7) = 16 ÷ 8 = 2 → correct.
D: 30 ÷ 5 = 6 → correct.
E: 4 ÷ 4 = 1 → correct.
F: 41 - 26 = 15 → correct.
G: 29 - 12 = 17 → correct.
H: 9×3=27 → correct.
I: 11×3=33 → correct.
K: 20×2=40 → correct.
L: 103-81=22 → correct.
M: 15÷3=5 → correct.
Right side:
N: 95÷5=19 → correct.
O: 44÷4=11 → correct.
P: 8×2=16 → correct.
Q: 12×2=24 → correct.
R: 9-9=0 → correct.
S: 144÷12=12 → correct.
T: 4×8=32 → correct.
U: 10×3=30 → correct.
V: 27-9=18 → correct.
W: 35÷5=7 → correct.
X: 120-100=20 → correct.
Y: 30+5=35 → correct.
Z: 9×4=36 → correct.
Still no 10.
But wait — look at the second row: "10 0 33 19 17"
We have:
0 → R
33 → I
19 → N
17 → G
So if 10 were there, what could it be? Maybe I missed a letter?
Wait — let’s check expression for B again: (12×2)-10 = 24-10=14 → not 10.
What about V: 27 - (108÷12) = 27 - 9 = 18 → not 10.
Perhaps the 10 is a typo? Or did I misread the problem?
Wait — look at the original image description — the user provided an image, but since I can't see it, I’m relying on text.
In the user's message, they wrote:
“4 16 0 33 22 12 27 11 7 1 0 12”
then
“10 0 33 19 17 5 4 35 15 22 11 7 1 0 12”
Ah — perhaps “10” is meant to be “1”? Because E=1, and if it’s “1 0 33 19 17” that would be E R I N G — “Erin g”? Not good.
Or maybe “10” is “B”? But B=14.
Another idea: perhaps I miscalculated one expression.
Let me check expression for Q: 12 × (4÷2) = 12×2=24 — correct.
What about U: (5+5)×3=30 — correct.
Wait — let’s look at the third row:
“_ _ _ _ _ _ _ _ _ _ _ _ _ _ _”
“4 19 6 1 18 1 0 35 32 27 33 19 17 12”
4=A, 19=N, 6=D → “AND”
Then 1=E, 18=V, 1=E, 0=R, 35=Y, 32=T, 27=H, 33=I, 19=N, 17=G, 12=S → “EVERYTHING’S”
Yes! “AND EVERYTHING’S”
Then last line:
“_ _ _ _ _ _ _ _”
“33 19 10 22 11 11 5”
33=I, 19=N → “IN”
Then 10=?, 22=L, 11=O, 11=O, 5=M → “?LOOM”
If 10 is supposed to be B, but B=14, not 10.
Unless... did I miscalculate B?
B: (12 × 2) – 10 = 24 – 10 = 14 — that’s correct.
But what if the expression was different? In some versions, it might be (12 + 2) – 10 = 14 – 10 = 4, but that’s A.
Another possibility: perhaps “10” is a mistake, and it should be “14” for B.
Because “BLOOM” would make sense — “IN BLOOM”.
And B=14, so if the number was 14 instead of 10, then 14=B, 22=L, 11=O, 11=O, 5=M → “BLOOM”
That fits perfectly!
Probably a typo in the worksheet or in transcription — “10” should be “14”.
Similarly, in the second row, “10 0 33 19 17” — if it’s “14 0 33 19 17” that would be B R I N G — “Bring”
Then next part: “5 4 35 15 22 11 7 1 0 12” = M A Y F L O W E R S
“May Flowers”
Perfect!
So likely, the “10” in the second row is a typo and should be “14” (for B), and in the last row, “10” should also be “14” (for B).
This makes the whole phrase:
April Showers Bring May Flowers And Everything’s In Bloom
Which is a common spring saying!
So even though the calculation shows no letter equals 10, context tells us it must be B=14, and the “10” is a printing error.
Therefore, we proceed with that correction.
---
Final decoding:
First line: 4 16 0 33 22 | 12 27 11 7 1 0 12 → A P R I L | S H O W E R S → April Showers
Second line: 14 0 33 19 17 | 5 4 35 15 22 11 7 1 0 12 → B R I N G | M A Y F L O W E R S → Bring May Flowers
Third line: 4 19 6 | 1 18 1 0 35 32 27 33 19 17 12 → A N D | E V E R Y T H I N G S → And Everything’s
Fourth line: 33 19 | 14 22 11 11 5 → I N | B L O O M → In Bloom
(Note: corrected 10 to 14 where needed)
---
Final Answer:
April Showers Bring May Flowers And Everything’s In Bloom
---
Left Column:
A: (6 + 3) – 5 = 9 – 5 = 4
B: (12 × 2) – 10 = 24 – 10 = 14 → Wait! Let me check again… 12×2=24, minus 10 is 14? But looking ahead, maybe I made a mistake — let’s hold on and do all carefully.
Actually, let’s go one by one with full care:
---
Recalculating ALL expressions carefully:
Left Side:
A: (6 + 3) – 5 = 9 – 5 = 4 ✔
B: (12 × 2) – 10 = 24 – 10 = 14 → Hmm, but later we see numbers like 16, 0, etc. Maybe it’s correct? Let’s keep going.
Wait — perhaps I should write them all down first before matching.
Let me list all letters with their calculated values:
---
Left Column (A to M):
A: (6+3)-5 = 9-5 = 4
B: (12×2)-10 = 24-10 = 14
C: 16 ÷ (56÷7) = 16 ÷ 8 = 2
D: 30 ÷ (15–10) = 30 ÷ 5 = 6
E: (32÷8) ÷ 4 = 4 ÷ 4 = 1
F: 41 – (13×2) = 41 – 26 = 15
G: 29 – (48÷4) = 29 – 12 = 17
H: (8+1) × 3 = 9 × 3 = 27
I: (77÷7) × 3 = 11 × 3 = 33
J: 33 ÷ (20–9) = 33 ÷ 11 = 3
K: (5+15) × 2 = 20 × 2 = 40 → Wait, that seems high. Let me check: 5+15=20, times 2 is 40. Okay.
L: 103 – (9×9) = 103 – 81 = 22
M: (15×1) ÷ 3 = 15 ÷ 3 = 5
---
Right Column (N to Z):
N: (19×5) ÷ 5 = 95 ÷ 5 = 19
O: 44 ÷ (16–12) = 44 ÷ 4 = 11
P: (72÷9) × 2 = 8 × 2 = 16
Q: 12 × (4÷2) = 12 × 2 = 24
R: (81÷9) – 9 = 9 – 9 = 0
S: 144 ÷ (3×4) = 144 ÷ 12 = 12
T: (3+1) × 8 = 4 × 8 = 32
U: (5+5) × 3 = 10 × 3 = 30
V: 27 – (108÷12) = 27 – 9 = 18
W: 35 ÷ (45÷9) = 35 ÷ 5 = 7
X: 120 – (10×10) = 120 – 100 = 20
Y: 30 + (9–4) = 30 + 5 = 35
Z: (63÷7) × 4 = 9 × 4 = 36
---
Now let’s make a quick reference table of Letter → Value:
A=4
B=14
C=2
D=6
E=1
F=15
G=17
H=27
I=33
J=3
K=40
L=22
M=5
N=19
O=11
P=16
Q=24
R=0
S=12
T=32
U=30
V=18
W=7
X=20
Y=35
Z=36
---
Now look at the bottom part — there are lines with numbers under them. We need to find which letter corresponds to each number, and write that letter above the number.
The puzzle says: “once each letter has a numerical value, write the letter above the number.”
So for example, if you see “4”, you find which letter equals 4 → that’s A. So put A above 4.
Let’s decode line by line.
---
First row of blanks:
_ _ _ _ _ _ _ _ _ _ _ _
4 16 0 33 22 12 27 11 7 1 0 12
Find letters:
4 → A
16 → P
0 → R
33 → I
22 → L
Then next group:
12 → S
27 → H
11 → O
7 → W
1 → E
0 → R
12 → S
So first line spells: A P R I L S H O W E R S
That makes sense — “April Showers”!
---
Second row:
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
10 0 33 19 17 5 4 35 15 22 11 7 1 0 12
Wait — 10? Do we have a letter = 10?
Looking back at our list... none of the letters equal 10. Did I miss something?
Wait — let’s double-check calculations.
Did any letter give 10?
Check again:
A=4
B=14
C=2
D=6
E=1
F=15
G=17
H=27
I=33
J=3
K=40
L=22
M=5
N=19
O=11
P=16
Q=24
R=0
S=12
T=32
U=30
V=18
W=7
X=20
Y=35
Z=36
No 10. But in the second row, first number is 10. That can’t be right.
Wait — maybe I miscalculated one of the expressions?
Let me recheck expressions that might give 10.
Look at J: 33 ÷ (20–9) = 33 ÷ 11 = 3 → correct.
What about C: 16 ÷ (56÷7) = 16 ÷ 8 = 2 → correct.
D: 30 ÷ 5 = 6 → correct.
E: 4 ÷ 4 = 1 → correct.
F: 41 - 26 = 15 → correct.
G: 29 - 12 = 17 → correct.
H: 9×3=27 → correct.
I: 11×3=33 → correct.
K: 20×2=40 → correct.
L: 103-81=22 → correct.
M: 15÷3=5 → correct.
Right side:
N: 95÷5=19 → correct.
O: 44÷4=11 → correct.
P: 8×2=16 → correct.
Q: 12×2=24 → correct.
R: 9-9=0 → correct.
S: 144÷12=12 → correct.
T: 4×8=32 → correct.
U: 10×3=30 → correct.
V: 27-9=18 → correct.
W: 35÷5=7 → correct.
X: 120-100=20 → correct.
Y: 30+5=35 → correct.
Z: 9×4=36 → correct.
Still no 10.
But wait — look at the second row: "10 0 33 19 17"
We have:
0 → R
33 → I
19 → N
17 → G
So if 10 were there, what could it be? Maybe I missed a letter?
Wait — let’s check expression for B again: (12×2)-10 = 24-10=14 → not 10.
What about V: 27 - (108÷12) = 27 - 9 = 18 → not 10.
Perhaps the 10 is a typo? Or did I misread the problem?
Wait — look at the original image description — the user provided an image, but since I can't see it, I’m relying on text.
In the user's message, they wrote:
“4 16 0 33 22 12 27 11 7 1 0 12”
then
“10 0 33 19 17 5 4 35 15 22 11 7 1 0 12”
Ah — perhaps “10” is meant to be “1”? Because E=1, and if it’s “1 0 33 19 17” that would be E R I N G — “Erin g”? Not good.
Or maybe “10” is “B”? But B=14.
Another idea: perhaps I miscalculated one expression.
Let me check expression for Q: 12 × (4÷2) = 12×2=24 — correct.
What about U: (5+5)×3=30 — correct.
Wait — let’s look at the third row:
“_ _ _ _ _ _ _ _ _ _ _ _ _ _ _”
“4 19 6 1 18 1 0 35 32 27 33 19 17 12”
4=A, 19=N, 6=D → “AND”
Then 1=E, 18=V, 1=E, 0=R, 35=Y, 32=T, 27=H, 33=I, 19=N, 17=G, 12=S → “EVERYTHING’S”
Yes! “AND EVERYTHING’S”
Then last line:
“_ _ _ _ _ _ _ _”
“33 19 10 22 11 11 5”
33=I, 19=N → “IN”
Then 10=?, 22=L, 11=O, 11=O, 5=M → “?LOOM”
If 10 is supposed to be B, but B=14, not 10.
Unless... did I miscalculate B?
B: (12 × 2) – 10 = 24 – 10 = 14 — that’s correct.
But what if the expression was different? In some versions, it might be (12 + 2) – 10 = 14 – 10 = 4, but that’s A.
Another possibility: perhaps “10” is a mistake, and it should be “14” for B.
Because “BLOOM” would make sense — “IN BLOOM”.
And B=14, so if the number was 14 instead of 10, then 14=B, 22=L, 11=O, 11=O, 5=M → “BLOOM”
That fits perfectly!
Probably a typo in the worksheet or in transcription — “10” should be “14”.
Similarly, in the second row, “10 0 33 19 17” — if it’s “14 0 33 19 17” that would be B R I N G — “Bring”
Then next part: “5 4 35 15 22 11 7 1 0 12” = M A Y F L O W E R S
“May Flowers”
Perfect!
So likely, the “10” in the second row is a typo and should be “14” (for B), and in the last row, “10” should also be “14” (for B).
This makes the whole phrase:
April Showers Bring May Flowers And Everything’s In Bloom
Which is a common spring saying!
So even though the calculation shows no letter equals 10, context tells us it must be B=14, and the “10” is a printing error.
Therefore, we proceed with that correction.
---
Final decoding:
First line: 4 16 0 33 22 | 12 27 11 7 1 0 12 → A P R I L | S H O W E R S → April Showers
Second line: 14 0 33 19 17 | 5 4 35 15 22 11 7 1 0 12 → B R I N G | M A Y F L O W E R S → Bring May Flowers
Third line: 4 19 6 | 1 18 1 0 35 32 27 33 19 17 12 → A N D | E V E R Y T H I N G S → And Everything’s
Fourth line: 33 19 | 14 22 11 11 5 → I N | B L O O M → In Bloom
(Note: corrected 10 to 14 where needed)
---
Final Answer:
April Showers Bring May Flowers And Everything’s In Bloom
Parent Tip: Review the logic above to help your child master the concept of algebra math sheets.