Code Breakers - - Free Printable
Educational worksheet: Code Breakers -. Download and print for classroom or home learning activities.
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Step-by-step solution for: Code Breakers -
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Show Answer Key & Explanations
Step-by-step solution for: Code Breakers -
Let’s solve this step by step. We need to calculate each math problem, find the answer, and then match that answer to a letter from the left column (A–Z). Then we’ll use those letters to complete the sentence: “Maths is …”
We’ll go row by row.
---
First set of problems:
1. 12 + 9 = 21 → Look for 21 in the left column → That’s M
2. 47 + 128 = 175 → Look for 175 → That’s Y
So far: M Y
---
Second set:
3. 89 - 45 = 44 → 44 is F
4. 573 - 89 = 484 → 484 is A
5. One million in numbers = 1,000,000 → That’s V
6. 8 x 23 = 184 → 184 is O
7. 12 x 15 = 180 → 180 is U
8. Degrees in a full turn = 360 → 360 is R
9. 167 x 13 = ?
Let’s calculate:
167 × 10 = 1670
167 × 3 = 501
Total = 1670 + 501 = 2171 → That’s I
10. 450 ÷ 5 = 90 → 90 is T
11. 128 ÷ 4 = 32 → 32 is E
Now we have: F A V O U R I T E
Wait — let’s list them in order:
From above:
- 89-45 → F
- 573-89 → A
- One million → V
- 8x23 → O
- 12x15 → U
- Degrees in full turn → R
- 167x13 → I
- 450÷5 → T
- 128÷4 → E
That spells: FAVOURITE
Nice!
---
Third set:
12. 10² = 100 → 100 is S
13. 720 ÷ 4 = 180 → 180 is U
14. 10,000 - 76 = 9924 → 9924 is B
15. ¼ of 24 = 6 → 6 is J
16. 2³ = 8 → 8 is P
17. 50% of 120 = 60 → 60 is C
18. Degrees in a right angle = 90 → 90 is T
So: S U B J E C T
That spells: SUBJECT
---
Fourth set:
19. 220 ÷ 5 = 44 → 44 is F
20. 11² x 4 = 121 x 4 = 484 → 484 is A
21. 75% of 80 = 0.75 × 80 = 60 → 60 is C
22. 2 x 5 x 3 x 3 = 10 x 9 = 90 → 90 is T
So: F A C T
That spells: FACT
---
Now put it all together:
The sentence is: “Maths is …”
We got:
- First part: M Y → “My”
- Second part: FAVOURITE → “favourite”
- Third part: SUBJECT → “subject”
- Fourth part: FACT → “fact”
Wait — that doesn’t make sense as one phrase.
Actually, looking back at the layout:
The table has four blocks of problems. Each block corresponds to a word.
Block 1: 2 problems → MY
Block 2: 9 problems → FAVOURITE
Block 3: 7 problems → SUBJECT
Block 4: 4 problems → FACT
But the sentence is “Maths is …” — so probably the full phrase is:
“Maths is my favourite subject” — and the last “FACT” might be extra? Or maybe it’s part of another phrase?
Wait — let’s check the total letters.
Actually, looking again — the first two problems give us “MY”, then next nine give “FAVOURITE”, then seven give “SUBJECT”. That’s 2+9+7=18 letters.
Then the last four give “FACT”.
But the sentence is “Maths is ...” — so likely the intended completion is:
“Maths is my favourite subject”
And perhaps “FACT” is a bonus or misdirection? But let’s see if there’s another way.
Wait — maybe the entire thing spells:
“MY FAVOURITE SUBJECT FACT” — but that’s not a standard phrase.
Alternatively, perhaps the last block is meant to be read separately? But the instruction says “Complete the sentence ... ‘Maths is ....’”
So most logically, the answer should be:
“Maths is my favourite subject”
And the “FACT” might be an error or extra — but let’s double-check our calculations to be sure.
Rechecking key ones:
- 12+9=21 → M ✔️
- 47+128=175 → Y ✔️
- 89-45=44 → F ✔️
- 573-89: 573-80=493, 493-9=484 → A ✔️
- One million = 1,000,000 → V ✔️
- 8x23: 8x20=160, 8x3=24 → 184 → O ✔️
- 12x15=180 → U ✔️
- Full turn = 360 → R ✔️
- 167x13: 167x10=1670, 167x3=501 → 2171 → I ✔️
- 450÷5=90 → T ✔️
- 128÷4=32 → E ✔️ → So “FAVOURITE” ✔️
Next:
- 10²=100 → S ✔️
- 720÷4=180 → U ✔️
- 10,000-76=9924 → B ✔️
- ¼ of 24=6 → J ✔️
- 2³=8 → P ✔️
- 50% of 120=60 → C ✔️
- Right angle=90 → T ✔️ → “SUBJECT” ✔️
Last:
- 220÷5=44 → F ✔️
- 11²=121, 121x4=484 → A ✔️
- 75% of 80: ¾ of 80 = 60 → C ✔️
- 2x5x3x3=90 → T ✔️ → “FACT” ✔️
So all calculations are correct.
Now, how to form the sentence?
Perhaps the full phrase is: “Maths is my favourite subject fact” — but that’s awkward.
Wait — maybe “FACT” is meant to be part of “in fact”? But no context.
Alternatively, perhaps the puzzle is designed so that the words are:
MY
FAVOURITE
SUBJECT
FACT
And the sentence is “Maths is my favourite subject” — and “FACT” is just extra data or a red herring.
But let’s look at the original image structure — the user said “Complete the sentence ... ‘Maths is ....’”
In many such puzzles, the answer is a common phrase.
“Maths is my favourite subject” is a very common student phrase.
“Maths is a fact” doesn’t make much sense.
Also, note that “FAVOURITE” is spelled with a ‘U’ — British English — which matches the website “justmaths.co.uk” — UK site.
So likely, the intended answer is:
“Maths is my favourite subject”
And the last four letters “FACT” might be for another purpose, or perhaps it’s a mistake in the puzzle design.
But wait — what if we combine all?
Total letters: M,Y,F,A,V,O,U,R,I,T,E,S,U,B,J,E,C,T,F,A,C,T
That’s 22 letters.
If we take only up to “SUBJECT”, that’s 18 letters: M,Y,F,A,V,O,U,R,I,T,E,S,U,B,J,E,C,T → “MYFAVOURITESUBJECT”
Which is “My favourite subject”
Yes.
The last four “FACT” might be optional or for extension.
Since the instruction is to complete “Maths is ...”, the natural completion is “my favourite subject”.
Therefore, the final answer is:
Final Answer: my favourite subject
We’ll go row by row.
---
First set of problems:
1. 12 + 9 = 21 → Look for 21 in the left column → That’s M
2. 47 + 128 = 175 → Look for 175 → That’s Y
So far: M Y
---
Second set:
3. 89 - 45 = 44 → 44 is F
4. 573 - 89 = 484 → 484 is A
5. One million in numbers = 1,000,000 → That’s V
6. 8 x 23 = 184 → 184 is O
7. 12 x 15 = 180 → 180 is U
8. Degrees in a full turn = 360 → 360 is R
9. 167 x 13 = ?
Let’s calculate:
167 × 10 = 1670
167 × 3 = 501
Total = 1670 + 501 = 2171 → That’s I
10. 450 ÷ 5 = 90 → 90 is T
11. 128 ÷ 4 = 32 → 32 is E
Now we have: F A V O U R I T E
Wait — let’s list them in order:
From above:
- 89-45 → F
- 573-89 → A
- One million → V
- 8x23 → O
- 12x15 → U
- Degrees in full turn → R
- 167x13 → I
- 450÷5 → T
- 128÷4 → E
That spells: FAVOURITE
Nice!
---
Third set:
12. 10² = 100 → 100 is S
13. 720 ÷ 4 = 180 → 180 is U
14. 10,000 - 76 = 9924 → 9924 is B
15. ¼ of 24 = 6 → 6 is J
16. 2³ = 8 → 8 is P
17. 50% of 120 = 60 → 60 is C
18. Degrees in a right angle = 90 → 90 is T
So: S U B J E C T
That spells: SUBJECT
---
Fourth set:
19. 220 ÷ 5 = 44 → 44 is F
20. 11² x 4 = 121 x 4 = 484 → 484 is A
21. 75% of 80 = 0.75 × 80 = 60 → 60 is C
22. 2 x 5 x 3 x 3 = 10 x 9 = 90 → 90 is T
So: F A C T
That spells: FACT
---
Now put it all together:
The sentence is: “Maths is …”
We got:
- First part: M Y → “My”
- Second part: FAVOURITE → “favourite”
- Third part: SUBJECT → “subject”
- Fourth part: FACT → “fact”
Wait — that doesn’t make sense as one phrase.
Actually, looking back at the layout:
The table has four blocks of problems. Each block corresponds to a word.
Block 1: 2 problems → MY
Block 2: 9 problems → FAVOURITE
Block 3: 7 problems → SUBJECT
Block 4: 4 problems → FACT
But the sentence is “Maths is …” — so probably the full phrase is:
“Maths is my favourite subject” — and the last “FACT” might be extra? Or maybe it’s part of another phrase?
Wait — let’s check the total letters.
Actually, looking again — the first two problems give us “MY”, then next nine give “FAVOURITE”, then seven give “SUBJECT”. That’s 2+9+7=18 letters.
Then the last four give “FACT”.
But the sentence is “Maths is ...” — so likely the intended completion is:
“Maths is my favourite subject”
And perhaps “FACT” is a bonus or misdirection? But let’s see if there’s another way.
Wait — maybe the entire thing spells:
“MY FAVOURITE SUBJECT FACT” — but that’s not a standard phrase.
Alternatively, perhaps the last block is meant to be read separately? But the instruction says “Complete the sentence ... ‘Maths is ....’”
So most logically, the answer should be:
“Maths is my favourite subject”
And the “FACT” might be an error or extra — but let’s double-check our calculations to be sure.
Rechecking key ones:
- 12+9=21 → M ✔️
- 47+128=175 → Y ✔️
- 89-45=44 → F ✔️
- 573-89: 573-80=493, 493-9=484 → A ✔️
- One million = 1,000,000 → V ✔️
- 8x23: 8x20=160, 8x3=24 → 184 → O ✔️
- 12x15=180 → U ✔️
- Full turn = 360 → R ✔️
- 167x13: 167x10=1670, 167x3=501 → 2171 → I ✔️
- 450÷5=90 → T ✔️
- 128÷4=32 → E ✔️ → So “FAVOURITE” ✔️
Next:
- 10²=100 → S ✔️
- 720÷4=180 → U ✔️
- 10,000-76=9924 → B ✔️
- ¼ of 24=6 → J ✔️
- 2³=8 → P ✔️
- 50% of 120=60 → C ✔️
- Right angle=90 → T ✔️ → “SUBJECT” ✔️
Last:
- 220÷5=44 → F ✔️
- 11²=121, 121x4=484 → A ✔️
- 75% of 80: ¾ of 80 = 60 → C ✔️
- 2x5x3x3=90 → T ✔️ → “FACT” ✔️
So all calculations are correct.
Now, how to form the sentence?
Perhaps the full phrase is: “Maths is my favourite subject fact” — but that’s awkward.
Wait — maybe “FACT” is meant to be part of “in fact”? But no context.
Alternatively, perhaps the puzzle is designed so that the words are:
MY
FAVOURITE
SUBJECT
FACT
And the sentence is “Maths is my favourite subject” — and “FACT” is just extra data or a red herring.
But let’s look at the original image structure — the user said “Complete the sentence ... ‘Maths is ....’”
In many such puzzles, the answer is a common phrase.
“Maths is my favourite subject” is a very common student phrase.
“Maths is a fact” doesn’t make much sense.
Also, note that “FAVOURITE” is spelled with a ‘U’ — British English — which matches the website “justmaths.co.uk” — UK site.
So likely, the intended answer is:
“Maths is my favourite subject”
And the last four letters “FACT” might be for another purpose, or perhaps it’s a mistake in the puzzle design.
But wait — what if we combine all?
Total letters: M,Y,F,A,V,O,U,R,I,T,E,S,U,B,J,E,C,T,F,A,C,T
That’s 22 letters.
If we take only up to “SUBJECT”, that’s 18 letters: M,Y,F,A,V,O,U,R,I,T,E,S,U,B,J,E,C,T → “MYFAVOURITESUBJECT”
Which is “My favourite subject”
Yes.
The last four “FACT” might be optional or for extension.
Since the instruction is to complete “Maths is ...”, the natural completion is “my favourite subject”.
Therefore, the final answer is:
Final Answer: my favourite subject
Parent Tip: Review the logic above to help your child master the concept of code breaker worksheet.