5th Grade Math Word Problems - Free Printable

Let's solve each part of the problem step by step using the given data and the clues.

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Given Table (with known values):

| WHALE | AVERAGE MASS (lb) | ORDER OF MASS | AVERAGE LENGTH (ft) | ORDER OF LENGTH |
|-----------------|-------------------|---------------|---------------------|-----------------|
| Blue Whale | 242,500 | 1 | 83.7 | 1 |
| Bowhead Whale | 120,000 | | 49.2 | |
| Fin Whale | 125,500 | | | |
| Gray Whale | | | 44.3 | |
| Humpback Whale | 64,000 | | 44.3 | |
| Right Whale | 128,000 | | 50 | |
| Sei Whale | 49,500 | | | |
| Sperm Whale | 69,000 | | 43.5 | |

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## 1) Find Length of Fin Whale and Sei Whale

> Clue: The Fin Whale is 16.1 ft shorter than the Blue Whale.
> Blue Whale length = 83.7 ft
> → Fin Whale length = 83.7 - 16.1 = 67.6 ft

> Clue: The Sei Whale is 4.3 ft longer than the Gray Whale.
> Gray Whale length = 44.3 ft
> → Sei Whale length = 44.3 + 4.3 = 48.6 ft

✔ Answer for 1)
- Fin Whale: 67.6 ft
- Sei Whale: 48.6 ft

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## 2) Find Weight of Gray Whale

> Clue: The Gray Whale is 26,000 lb lighter than the Sperm Whale.
> Sperm Whale mass = 69,000 lb
> → Gray Whale mass = 69,000 - 26,000 = 43,000 lb

✔ Answer for 2)
- Gray Whale mass: 43,000 lb

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## 3) Fill in Order of Mass (1=heaviest, 8=lightest)

List all whales with their masses:

- Blue Whale: 242,500 → #1
- Right Whale: 128,000 → #2
- Fin Whale: 125,500 → #3
- Bowhead Whale: 120,000 → #4
- Sperm Whale: 69,000 → #5
- Humpback Whale: 64,000 → #6
- Sei Whale: 49,500 → #7
- Gray Whale: 43,000 → #8

✔ Answer for 3)
Order of Mass:
- Blue Whale: 1
- Right Whale: 2
- Fin Whale: 3
- Bowhead Whale: 4
- Sperm Whale: 5
- Humpback Whale: 6
- Sei Whale: 7
- Gray Whale: 8

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## 4) Fill in Order of Length (1=longest, 8=shortest)

List all whales with their lengths (we calculated missing ones):

- Blue Whale: 83.7 → #1
- Fin Whale: 67.6 → #2
- Right Whale: 50.0 → #3
- Bowhead Whale: 49.2 → #4
- Sei Whale: 48.6 → #5
- Gray Whale: 44.3 → #6
- Humpback Whale: 44.3 → #7 (tie with Gray Whale — but since order must be unique, we can assign Gray Whale #6 and Humpback #7 arbitrarily based on alphabetical or other logic; however, since they are equal, either way is acceptable. Let’s keep Gray Whale as #6, Humpback #7)
- Sperm Whale: 43.5 → #8

✔ Answer for 4)
Order of Length:
- Blue Whale: 1
- Fin Whale: 2
- Right Whale: 3
- Bowhead Whale: 4
- Sei Whale: 5
- Gray Whale: 6
- Humpback Whale: 7
- Sperm Whale: 8

*(Note: Gray and Humpback both 44.3 ft — if strict ordering required, perhaps list Gray first alphabetically? But problem doesn’t specify tie-breaking. Either is fine.)*

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## 5) How much heavier is the Bowhead Whale than the Sei Whale?

Bowhead Whale: 120,000 lb
Sei Whale: 49,500 lb
Difference = 120,000 - 49,500 = 70,500 lb

✔ Answer for 5)
70,500 lb

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## 6) How much shorter is the Sperm Whale than the Blue Whale?

Sperm Whale: 43.5 ft
Blue Whale: 83.7 ft
Difference = 83.7 - 43.5 = 40.2 ft

✔ Answer for 6)
40.2 ft

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## 7) Tyger says “The average mass of the Blue Whale is more than the mass of the 4 lightest whales put together.” Is he correct?

First, identify the 4 lightest whales by mass (from part 3):

- Gray Whale: 43,000 lb
- Sei Whale: 49,500 lb
- Humpback Whale: 64,000 lb
- Sperm Whale: 69,000 lb

Sum = 43,000 + 49,500 + 64,000 + 69,000
= 43,000 + 49,500 = 92,500
+ 64,000 = 156,500
+ 69,000 = 225,500 lb

Blue Whale = 242,500 lb

Is 242,500 > 225,500? → Yes

✔ Answer for 7)
Yes, Tyger is correct.

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## 8) Roughly how many times heavier is the Blue Whale than the Sei Whale?

Blue Whale: 242,500 lb
Sei Whale: 49,500 lb

Divide: 242,500 ÷ 49,500 ≈ ?

Let’s calculate:

242,500 ÷ 49,500 = 2425 ÷ 495 (divide numerator and denominator by 100)

≈ 4.898...

Roughly 5 times

✔ Answer for 8)
About 5 times heavier

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## ✔ Final Answers Summary:

1. Fin Whale length: 67.6 ft; Sei Whale length: 48.6 ft
2. Gray Whale mass: 43,000 lb
3. Order of Mass:
- Blue Whale: 1
- Right Whale: 2
- Fin Whale: 3
- Bowhead Whale: 4
- Sperm Whale: 5
- Humpback Whale: 6
- Sei Whale: 7
- Gray Whale: 8
4. Order of Length:
- Blue Whale: 1
- Fin Whale: 2
- Right Whale: 3
- Bowhead Whale: 4
- Sei Whale: 5
- Gray Whale: 6
- Humpback Whale: 7
- Sperm Whale: 8
5. Bowhead Whale is 70,500 lb heavier than Sei Whale
6. Sperm Whale is 40.2 ft shorter than Blue Whale
7. Yes, Tyger is correct
8. Blue Whale is roughly 5 times heavier than Sei Whale

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You can now fill in the table and answer all questions! 🐋