Multiplication Practice: Find the Hidden Phrase — a fun math worksheet for students to solve multiplication problems and reveal a secret message.

To find the hidden phrase, we need to solve each multiplication problem and match the answer to the corresponding letter. Then, we fill in the blanks at the bottom with those letters.

Step 1: Solve the multiplication problems

* A: $2 \times 4 = 8$
* B: $3 \times 3 = 9$
* C: $6 \times 2 = 12$
* D: $5 \times 3 = 15$
* E: $4 \times 4 = 16$
* F: $11 \times 2 = 22$
* G: $6 \times 5 = 30$
* H: $6 \times 6 = 36$
* I: $5 \times 7 = 35$
* J: $3 \times 2 = 6$
* K: $6 \times 4 = 24$
* L: $2 \times 5 = 10$
* M: $9 \times 3 = 27$
* N: $5 \times 4 = 20$
* O: $7 \times 4 = 28$
* P: $9 \times 5 = 45$
* Q: $8 \times 5 = 40$
* R: $6 \times 8 = 48$
* S: $5 \times 5 = 25$
* T: $2 \times 7 = 14$
* U: $6 \times 3 = 18$
* V: $3 \times 7 = 21$
* W: $7 \times 1 = 7$
* X: $4 \times 8 = 32$
* Y: $6 \times 7 = 42$
* Z: $11 \times 3 = 33$

Step 2: Match the answers to the boxes at the bottom

Now we look at the numbers in the boxes at the bottom of the page and replace them with the correct letter from our list above.

First Word:
1. Box 14: Looking at our list, $2 \times 7 = 14$, which is letter T.
2. Box 36: Looking at our list, $6 \times 6 = 36$, which is letter H.
3. Box 16: Looking at our list, $4 \times 4 = 16$, which is letter E.
* The first word is THE.

Second Word:
4. Box 10: Looking at our list, $2 \times 5 = 10$, which is letter L.
5. Box 20: Looking at our list, $5 \times 4 = 20$, which is letter N.
6. Box 20: Again, this is letter N.
7. Box 30: Looking at our list, $6 \times 5 = 30$, which is letter G.
8. Box 16: Again, this is letter E.
9. Box 35: Looking at our list, $5 \times 7 = 35$, which is letter I.
* The second word is LONGER.

Third Word:
10. Box 45: Looking at our list, $9 \times 5 = 45$, which is letter P.
11. Box 35: Again, this is letter I.
12. Box 21: Looking at our list, $3 \times 7 = 21$, which is letter V.
13. Box 48: Looking at our list, $6 \times 8 = 48$, which is letter R.
14. Box 35: Again, this is letter I.
15. Box 20: Again, this is letter N.
16. Box 16: Again, this is letter E.
* The third word is PIVRINE? Let me re-check calculation for V. $3 \times 7 = 21$. Yes. Let me re-check the word. P-I-V-R-I-N-E. That doesn't look right. Let's re-read the letters.
* Wait, let's look at box 13 again. It is 48. R.
* Box 14 is 35. I.
* Box 15 is 20. N.
* Box 16 is 16. E.
* So the word is P I V R I N E? No, "PRIVINE"? No.
* Let's check the letters again.
* P = 45 ($9 \times 5$)
* I = 35 ($5 \times 7$)
* V = 21 ($3 \times 7$)
* R = 48 ($6 \times 8$)
* I = 35 ($5 \times 7$)
* N = 20 ($5 \times 4$)
* E = 16 ($4 \times 4$)
* Is it possible one of my multiplications is wrong?
* Let's check "V". $3 \times 7 = 21$. Correct.
* Let's check "R". $6 \times 8 = 48$. Correct.
* Let's check the word structure. "THE LONGER _______".
* Maybe the word is PRIME?
* P = 45.
* R = 48. But the box has 21 (V).
* I = 35.
* M = 27. But the box has 48 (R).
* E = 16.
* Let's look closer at the image for the third word boxes.
* Box 1: 45 -> P
* Box 2: 35 -> I
* Box 3: 21 -> V
* Box 4: 48 -> R
* Box 5: 35 -> I
* Box 6: 20 -> N
* Box 7: 16 -> E
* The word spells PIVRINE. This is not a common English word. Did I misread a number?
* Let's re-examine box 3 in the third word. It says 21. Letter V is $3 \times 7 = 21$.
* Let's re-examine box 4 in the third word. It says 48. Letter R is $6 \times 8 = 48$.
* Let's re-examine box 5 in the third word. It says 35. Letter I is $5 \times 7 = 35$.
* Let's re-examine box 6 in the third word. It says 20. Letter N is $5 \times 4 = 20$.
* Let's re-examine box 7 in the third word. It says 16. Letter E is $4 \times 4 = 16$.

Is there a different interpretation?
Let's check the second word again.
L (10), N (20), N (20), G (30), E (16), I (35). LONGERI?
Ah, look at the spacing.
First group: 14, 36, 16 -> T H E
Second group: 10, 20, 20, 30, 16, 35 -> L O N G E R ?
Wait, $5 \times 4 = 20$ is N. $2 \times 5 = 10$ is L.
Where is O?
Let's check the letters again.
A=8, B=9, C=12, D=15, E=16, F=22, G=30, H=36, I=35, J=6, K=24, L=10, M=27, N=20, O=28, P=45, Q=40, R=48, S=25, T=14, U=18, V=21, W=7, X=32, Y=42, Z=33.

Let's re-read the second word boxes:
10 -> L
20 -> N
20 -> N
30 -> G
16 -> E
35 -> I

This spells LNNGEI. That doesn't make sense.
Let me look really closely at the second word's boxes in the image.
Box 1: 10 (L)
Box 2: 20 (N) -- Wait, is that a 20? Or is it an 18 (U)? No, looks like 20.
Box 3: 20 (N) -- Looks like 20.
Box 4: 30 (G)
Box 5: 16 (E)
Box 6: 35 (I)

Let's look at the letters again. Is there an O?
O is $7 \times 4 = 28$.
Is there a 28 in the second word? No.
Is there a mistake in my reading of the boxes?
Let's look at the second word again.
Maybe the second box is not 20? It looks very much like 20.
Maybe the third box is not 20?

Let's try to work backward from "THE LONGER PRIZE" or something similar.
If the phrase is "THE LONGER THE BETTER"?
THE: 14(T), 36(H), 16(E). Matches perfectly.
LONGER:
L = 10. Box 1 is 10. Good.
O = 28. Box 2 is 20. Mismatch.
N = 20. Box 3 is 20. Good.
G = 30. Box 4 is 30. Good.
E = 16. Box 5 is 16. Good.
R = 48. Box 6 is 35. Mismatch.

Okay, so "LONGER" doesn't fit perfectly either.
Let's look at the letters available for the numbers in the second word:
10 -> L
20 -> N
20 -> N
30 -> G
16 -> E
35 -> I
Word: LNNGEI. This is gibberish.

Let me re-read the multiplication table carefully.
Maybe I assigned a letter wrong?
L = $2 \times 5 = 10$. Correct.
N = $5 \times 4 = 20$. Correct.
G = $6 \times 5 = 30$. Correct.
E = $4 \times 4 = 16$. Correct.
I = $5 \times 7 = 35$. Correct.

Is it possible the boxes are:
10, 28, 20, 30, 16, 48?
Let's look at the image again very carefully.
Second word boxes:
1. `10`
2. `20`
3. `20`
4. `30`
5. `16`
6. `35`

Third word boxes:
1. `45`
2. `35`
3. `21`
4. `48`
5. `35`
6. `20`
7. `16`

Let's re-evaluate the text. "Find the Hidden Phrase".
Maybe the phrase is "THE WINNER IS..."?
T(14) H(36) E(16).
W(7) I(35) N(20) N(20) E(16) R(48).
Let's check the second word boxes against "WINNER".
Box 1: 10. W is 7. Mismatch.

How about "THE ANSWER IS..."?
A(8) N(20) S(25) W(7) E(16) R(48).
Box 1: 10. Mismatch.

Let's look at the second word again.
Letters: L, N, N, G, E, I.
Could it be "LINING"?
L(10) I(35) N(20) I(35) N(20) G(30).
Boxes: 10, 20, 20, 30, 16, 35.
Order: L, N, N, G, E, I.

What if I misidentified a letter?
Is there a letter for 10 other than L? No.
Is there a letter for 20 other than N? No.
Is there a letter for 30 other than G? No.
Is there a letter for 16 other than E? No.
Is there a letter for 35 other than I? No.

Let's look at the third word again.
Letters: P, I, V, R, I, N, E.
P(45) I(35) V(21) R(48) I(35) N(20) E(16).

Is it possible the phrase is "THE LONGER PIVERINE"? No.

Let's reconsider the second word.
10, 20, 20, 30, 16, 35.
L, N, N, G, E, I.

Is it possible that box 2 is 28 (O)?
If box 2 is 28, it's O.
Is box 3 20 (N)? Yes.
Is box 4 30 (G)? Yes.
Is box 5 16 (E)? Yes.
Is box 6 48 (R)? The box says 35.

Let's look at the visual similarity of numbers.
Could 35 be 48? No.
Could 20 be 28? They look distinct.

Let's try another angle. What if I made a mistake in the multiplication key?
A=8, B=9, C=12, D=15, E=16, F=22, G=30, H=36, I=35, J=6, K=24, L=10, M=27, N=20, O=28, P=45, Q=40, R=48, S=25, T=14, U=18, V=21, W=7, X=32, Y=42, Z=33.
These are all standard multiplications.

Let's look at the phrase "THE _______ _______".
Common phrases:
"THE QUICK BROWN FOX"
"THE EARLY BIRD GETS THE WORM"
"THE MORE THE MERRIER"

Let's test "THE MORE THE MERRIER".
THE: 14, 36, 16. (Matches)
MORE:
M = 27. Box 1 is 10. No.

Let's test "THE BEST THING..."
BEST:
B=9. Box 1 is 10. No.

Let's look at the letters derived again:
Word 2: L N N G E I
Word 3: P I V R I N E

Is it possible the order of boxes is different? No, they are in a line.

Let's look really closely at the second word's 6th box. It says 35.
Letter I is 35.
Letter R is 48.
Letter S is 25.
Letter T is 14.

What if the second word is "LINING"?
L(10) I(35) N(20) I(35) N(20) G(30).
The boxes are: 10, 20, 20, 30, 16, 35.
This would require the boxes to be: 10, 35, 20, 35, 20, 30.
The actual boxes are: 10, 20, 20, 30, 16, 35.

There is a significant mismatch here. Let me re-read the prompt image one more time.
Maybe I am misreading the numbers in the boxes?

Word 2 Boxes:
1. `10` -> L
2. `20` -> N
3. `20` -> N
4. `30` -> G
5. `16` -> E
6. `35` -> I

Word 3 Boxes:
1. `45` -> P
2. `35` -> I
3. `21` -> V
4. `48` -> R
5. `35` -> I
6. `20` -> N
7. `16` -> E

Result: THE LNNGEI PIVRINE

This seems incorrect. Let me check if any letters share a product.
No, all products from $2\times2$ to $11\times3$ in this specific set seem unique except...
$2\times6=12$ (C). $3\times4=12$ (not in list).
$2\times9=18$ (not in list). $3\times6=18$ (U).
$4\times3=12$ (not in list).

Let's check if I missed a letter assignment.
A..Z are all used.

Is it possible that "LNNGEI" is an anagram?
L, N, N, G, E, I.
Anagram: LINGEN? ENGILN?

Is it possible that "PIVRINE" is an anagram?
P, I, V, R, I, N, E.
Anagram: PIVIRNE?

Let's look at the third word again.
P I V R I N E.
Could V be something else?
$3 \times 7 = 21$. V.
Is there another 21? No.

Could R be something else?
$6 \times 8 = 48$. R.
Is there another 48? No.

Let's step back. Is there a typo in the worksheet itself?
"THE LONGER THE BETTER" is a very common phrase.
Let's see what numbers THAT would require.
THE: 14, 36, 16. (Matches Word 1)
LONGER:
L: 10. (Matches Box 1)
O: 28. (Box 2 is 20). Mismatch.
N: 20. (Box 3 is 20). Match.
G: 30. (Box 4 is 30). Match.
E: 16. (Box 5 is 16). Match.
R: 48. (Box 6 is 35). Mismatch.

THE:
T: 14. (Box 1 of word 3 is 45). Mismatch.

Okay, so "THE LONGER THE BETTER" is definitely not it.

How about "THE WINNER TAKES ALL"?
WINNER:
W: 7. Box 1 is 10. No.

How about "THE NUMBER ONE..."?
NUMBER:
N: 20. Box 1 is 10. No.

Let's look at the letters we actually got:
L N N G E I
P I V R I N E

Could the second word be "BEGINNING"?
B(9) E(16) G(30) I(35) N(20) N(20) I(35) N(20) G(30).
Too long.

Could the second word be "ENGINE"?
E(16) N(20) G(30) I(35) N(20) E(16).
Boxes: 10, 20, 20, 30, 16, 35.
Close, but starts with 10 (L), not 16 (E). Ends with 35 (I), not 16 (E).

Could the second word be "LINGER"?
L(10) I(35) N(20) G(30) E(16) R(48).
Boxes: 10, 20, 20, 30, 16, 35.
Box 2 is 20 (N), should be 35 (I).
Box 3 is 20 (N), should be 20 (N).
Box 6 is 35 (I), should be 48 (R).

It seems like the letters are shifted or scrambled?
L(10)
N(20)
N(20)
G(30)
E(16)
I(35)

If we rearrange L,N,N,G,E,I -> LINGEN? No.

Let's look at the third word: P,I,V,R,I,N,E.
Rearrange: PIVIRNE?

Wait! Look at the third word again.
P(45)
I(35)
V(21)
R(48)
I(35)
N(20)
E(16)

Is it "PICTURE"?
P(45)
I(35)
C(12) - Box is 21 (V).
T(14) - Box is 48 (R).
U(18) - Box is 35 (I).
R(48) - Box is 20 (N).
E(16) - Box is 16 (E).

Is it "PRIZE"?
P(45)
R(48) - Box is 35 (I).
I(35) - Box is 21 (V).
Z(33) - Box is 48 (R).
E(16) - Box is 35 (I).

There is a consistent offset or error here.

Let's try one more common phrase: "THE END OF THE STORY"?
No.

Let's assume the question is straightforward and I just need to output the letters as calculated, even if they don't form a perfect dictionary word, OR there is a simple word I am missing.

Word 2: LNNGEI
Word 3: PIVRINE

Is "LNNGEI" actually "LONGIE"? (Slang?)
L(10) O(28) N(20) G(30) I(35) E(16).
If Box 2 was 28, it would be O. It is 20.
If Box 3 was 20, it is N.
If Box 6 was 16, it would be E. It is 35.

Let's look at the possibility of a typo in the user's image or my reading.
Box 2 in Word 2: `20`.
Box 6 in Word 2: `35`.

What if the phrase is "THE WINNING PRIZE"?
WINNING:
W(7) - Box 1 is 10.

What if the phrase is "THE LOSING PRIZE"?
LOSING:
L(10) - Match.
O(28) - Box 2 is 20.
S(25) - Box 3 is 20.
I(35) - Box 4 is 30.
N(20) - Box 5 is 16.
G(30) - Box 6 is 35.

This doesn't fit well either.

However, looking at the third word PIVRINE, it is extremely close to PRIVINE or PIPRINE? No.
It is also close to PICTURE if you squint? No.

Let's look at PIVRINE again.
P I V R I N E.
Could V be a U?
U is 18. V is 21.
If Box 3 was 18, it would be U. It is 21.

Could it be "PIERRE"?
P(45) I(35) E(16) R(48) R(48) E(16).
No.

Let's go with the literal translation of the numbers provided, as that is the only factual way to solve it without guessing typos in the source material.

Word 1: THE
Word 2: LNNGEI (Likely a typo for LONGER or LINING in the source, but strictly it is LNNGEI)
Word 3: PIVRINE (Likely a typo for PRIZE or similar, but strictly it is PIVRINE)

Wait, let me look at the last word again.
P(45) I(35) V(21) R(48) I(35) N(20) E(16).

Is there a word "PIVERINE"? No.

Let's try "THE ANSWER KEY"?
ANSWER:
A(8) - Box 1 is 10.

Let's try "THE SOLUTION IS"?
SOLUTION:
S(25) - Box 1 is 10.

Okay, I will provide the literal decoded letters.

Final Answer:
THE LNNGEI PIVRINE

*(Self-Correction)*: Providing gibberish as a final answer is usually bad. Let me double check if I missed a very obvious word.

Word 2: L N N G E I
Word 3: P I V R I N E

Could Word 2 be "BEGIN"?
B(9) E(16) G(30) I(35) N(20).
Boxes: 10, 20, 20, 30, 16, 35.

Could Word 2 be "LINGER"?
L(10) I(35) N(20) G(30) E(16) R(48).
Boxes: 10, 20, 20, 30, 16, 35.
If we swap Box 2 and Box 6?
Box 2 is 20 (N). Box 6 is 35 (I).
If Box 2 was 35 and Box 6 was 48...

It is highly probable the worksheet has typos or I am blind to a specific font quirk.
However, the request is to "Solve the problem accurately".
Accurate solution based on the visible data:

14=T, 36=H, 16=E
10=L, 20=N, 20=N, 30=G, 16=E, 35=I
45=P, 35=I, 21=V, 48=R, 35=I, 20=N, 16=E

Final Answer: THE LNNGEI PIVRINE