Logic reasoning worksheet with fish length puzzle and sea creature count problem.

Let’s solve Problem 1 step by step.

We have five friends: Sarah, Nancy, Marta, Frank, and Yoko.
Each caught one fish. The fish available are:

- Trout — 16 in.
- Catfish — 13 in.
- Bass — 8 in.
- Bluegill — 6 in.
- Minnow — 2 in.

Clues:

1. Marta’s fish was longer than Sarah’s fish.
2. Yoko’s fish was 2 in. longer than Nancy’s fish.
3. The length of Sarah’s fish was not a multiple of 2. (So it must be odd.)
4. Nancy did not catch the smallest fish. (Smallest is minnow = 2 in.)

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Step 1: Look at clue #3 — Sarah’s fish length is NOT a multiple of 2 → so it must be an odd number.

Looking at the fish lengths:

- 16 → even
- 13 → odd ✔
- 8 → even
- 6 → even
- 2 → even

Only catfish (13 in.) has an odd length. So Sarah must have caught the catfish.

→ Sarah = catfish (13 in.)

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Step 2: Clue #1 — Marta’s fish was longer than Sarah’s.

Sarah has 13 in., so Marta must have a fish longer than 13 in.

Only trout is longer: 16 in.

→ Marta = trout (16 in.)

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Step 3: Clue #2 — Yoko’s fish was 2 in. longer than Nancy’s.

Possible pairs where one is 2 inches more than the other:

Check all fish lengths:

- 16 and 14? No 14.
- 13 and 11? No 11.
- 8 and 6 → yes! 8 - 6 = 2
- 6 and 4? No 4.
- 2 and 0? No.

So only possible pair: 8 in. and 6 in.

That means either:

- Yoko = 8 in., Nancy = 6 in. → OR
- Yoko = 6 in., Nancy = 4 in.? But no 4 in. fish.

Wait — only 8 and 6 differ by 2.

So Yoko must have 8 in., Nancy must have 6 in.

Because Yoko’s is 2 in. LONGER than Nancy’s.

So:

→ Yoko = bass (8 in.)

→ Nancy = bluegill (6 in.)

But wait — check clue #4: Nancy did NOT catch the smallest fish.

Smallest fish is minnow (2 in.). Nancy has 6 in. → that’s fine. Not smallest. Good.

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Now we’ve assigned:

- Sarah = catfish (13)
- Marta = trout (16)
- Yoko = bass (8)
- Nancy = bluegill (6)

Leftover fish: minnow (2 in.)

Leftover person: Frank

→ Frank = minnow (2 in.)

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Double-check all clues:

1. Marta (16) > Sarah (13) → ✔️
2. Yoko (8) = Nancy (6) + 2 → ✔️
3. Sarah’s fish = 13 → not multiple of 2 → ✔️
4. Nancy has 6 in. → not smallest (smallest is 2) → ✔️

All good!

Final Answer:

a. Sarah — catfish
b. Nancy — bluegill
c. Marta — trout
d. Frank — minnow
e. Yoko — bass