Math word problems worksheet for elementary students involving real-life scenarios like travel, gifts, money, and counting animals.

Let’s solve each problem one by one, step by step.

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Problem 1:
Your aunt is flying from San Francisco to Buffalo. The flight takes 5 hours and covers 3060 miles. How fast does the plane go?

We know:
- Distance = 3060 miles
- Time = 5 hours

Speed = Distance ÷ Time
So, Speed = 3060 ÷ 5

Let’s calculate that:

3060 ÷ 5 = ?

5 × 600 = 3000 → remainder 60
5 × 12 = 60 → so total is 600 + 12 = 612

✔ So the speed is 612 mph — which matches what’s written on the worksheet.

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Problem 2:
On the 12 days of Christmas, how many gifts did the “True Love” receive?

The list given:
- Partridge in a Pear Tree → 1 gift (but actually, it’s repeated every day — wait! Let’s think carefully.)

Actually, in the song “The Twelve Days of Christmas,” each day you get all the previous gifts again plus the new one. But here, the problem gives us a specific list:

> Partridges in a Pear Tree, 2 Turtle Doves, 3 French Hens, 4 Calling Birds, 5 Golden Rings etc.

Wait — this looks like they’re listing the *total* number of each type received over the 12 days? Or just the count per day?

Looking at the numbers listed:
Partridges in a Pear Tree → probably 12 (since you get one each day)
Turtle Doves → 2 per day for 11 days? Wait — no, let’s read the problem again.

It says:
“how many gifts did the ‘True Love’ receive? [Partridges in a Pear Tree, 2 Turtle Doves, 3 French Hens, 4 Calling Birds, 5 Golden Rings etc.]”

And then it says “How can you show your work?” and writes “78”.

Hmm — maybe they are adding up only the first five types as listed? Let’s check:

If we add:
1 (Partridge) + 2 (Doves) + 3 (Hens) + 4 (Birds) + 5 (Rings) = 1+2+3+4+5 = 15

But that’s not 78.

Wait — perhaps they mean the *traditional* way the song works: On Day 1: 1 gift
Day 2: 2 + 1 = 3 gifts
Day 3: 3 + 2 + 1 = 6 gifts
... and so on.

Total gifts over 12 days = sum of triangular numbers.

Formula: Total = n(n+1)(n+2)/6 where n=12

But let’s do it simply:

Day 1: 1
Day 2: 2+1 = 3 → total so far: 4
Day 3: 3+2+1 = 6 → total: 10
Day 4: 4+3+2+1 = 10 → total: 20
Day 5: 5+4+3+2+1 = 15 → total: 35
Day 6: 21 → total: 56
Day 7: 28 → total: 84
Day 8: 36 → total: 120
Day 9: 45 → total: 165
Day 10: 55 → total: 220
Day 11: 66 → total: 286
Day 12: 78 → total: 364

Wait — but the answer written is 78. That’s the number of gifts on Day 12 alone.

But the question says: “On the 12 days of Christmas, how many gifts...” — meaning total over all 12 days.

But 78 is too small for total. Unless… maybe the problem is miswritten?

Wait — look again: It lists “Partridges in a Pear Tree, 2 Turtle Doves, 3 French Hens, 4 Calling Birds, 5 Golden Rings etc.” — and then says “78”

Perhaps they want us to add the numbers as if each line is the total for that gift over 12 days?

In the traditional song:

- Partridges: 12 (one each day)
- Turtle Doves: 2 × 11 = 22 (starting day 2)
- French Hens: 3 × 10 = 30
- Calling Birds: 4 × 9 = 36
- Golden Rings: 5 × 8 = 40
- Geese-a-laying: 6 × 7 = 42
- Swans-a-swimming: 7 × 6 = 42
- Maids-a-milking: 8 × 5 = 40
- Ladies dancing: 9 × 4 = 36
- Lords-a-leaping: 10 × 3 = 30
- Pipers piping: 11 × 2 = 22
- Drummers drumming: 12 × 1 = 12

Now add them all:

12 + 22 = 34
34 + 30 = 64
64 + 36 = 100
100 + 40 = 140
140 + 42 = 182
182 + 42 = 224
224 + 40 = 264
264 + 36 = 300
300 + 30 = 330
330 + 22 = 352
352 + 12 = 364

That’s the real total.

But the worksheet says “78” — which is exactly the number of gifts on the 12th day alone (1+2+3+...+12 = 78).

Maybe the problem meant: “On the 12th day, how many gifts?” — but it says “on the 12 days”.

Alternatively, maybe they just want us to add the numbers shown: 1 + 2 + 3 + 4 + 5 = 15 — but that’s not 78.

Wait — perhaps “etc.” means we continue to 12? Like 1 through 12?

Then 1+2+3+4+5+6+7+8+9+10+11+12 = ?

Sum = (12 × 13) / 2 = 78 ✔

Ah! So maybe the problem is simplifying: instead of the full song, they’re saying “you get 1 of something, 2 of another, ..., up to 12” — and just add those numbers.

So even though it’s not accurate to the song, for this worksheet, they want:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78

Yes — because 12×13÷2 = 78.

So for this problem, the intended answer is 78, assuming you’re adding numbers 1 through 12.

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Problem 3:
You and two friends are ready to share your birthday cake. Just before you cut the fudge, a 4th friend comes to join you. Show and explain what you will do. Answers will vary.

Originally: 3 people (you + 2 friends) → cake divided into 3 equal parts.

Now: 4 people → need to divide cake into 4 equal parts.

What to do? You could:

- Cut the cake into 4 equal slices instead of 3.
- If already cut into 3, you might need to re-cut or adjust portions.

Since the diagram shows 3 boxes, maybe they expect you to redraw or explain dividing into 4.

Simple answer: Since there are now 4 people, I would cut the cake into 4 equal pieces so everyone gets the same amount.

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Problem 4:
Uncle gave $50 gift certificate. Choices:

Movie Passes: $12.00
Arcade Passes: $14.00
Recreation Passes: $22.00

Goal: Spend as close as possible to $50 without going over. Buy some combination of passes.

Try combinations:

Option 1: 2 Movie + 2 Arcade = 2×12 + 2×14 = 24 + 28 = $52 → too much

Option 2: 1 Movie + 1 Arcade + 1 Rec = 12 + 14 + 22 = $48 → under by $2

Option 3: 2 Rec = 44 → under by $6

Option 4: 3 Movie + 1 Arcade = 36 + 14 = 50 → PERFECT!

3 × 12 = 36
1 × 14 = 14
36 + 14 = 50 ✔

Also: 1 Rec + 2 Arcade = 22 + 28 = 50 ✔

Or 4 Movie + 1 Rec = 48 + 22 = 70 → too much

Best options that hit exactly $50:

- 3 Movie Passes + 1 Arcade Pass = $50
- 1 Recreation Pass + 2 Arcade Passes = $22 + $28 = $50

Either is fine. We’ll pick one.

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Problem 5:
At skating party: 30 legs on outdoor rink. Dogs have 4 legs, people have 2 legs. How many dogs and people?

Let D = number of dogs
P = number of people

Equation: 4D + 2P = 30

We can simplify: divide whole equation by 2 → 2D + P = 15

So P = 15 - 2D

Now, D and P must be non-negative integers.

Possible values:

If D=0 → P=15
D=1 → P=13
D=2 → P=11
D=3 → P=9
D=4 → P=7
D=5 → P=5
D=6 → P=3
D=7 → P=1
D=8 → P=-1 → invalid

So multiple solutions. But the problem doesn’t give more info — so any pair is acceptable? Probably they expect one answer.

Maybe assume at least one dog and one person? Then several choices.

But since it’s a word problem for kids, maybe they expect the most balanced? Or just list possibilities?

Wait — perhaps we missed something. The problem says “you noticed 30 legs” — doesn’t say anything else.

So technically, there are multiple correct answers.

But maybe in context, they want us to find one possible solution.

Let’s pick D=5, P=5 → 5×4 + 5×2 = 20 + 10 = 30 ✔

Or D=3, P=9 → 12 + 18 = 30 ✔

I’ll go with 5 dogs and 5 people — nice round numbers.

But let’s see if the problem implies something else. No — so any valid pair is okay.

For final answer, I’ll write one possibility.

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Now, compiling final answers:

Problem 1: 612 mph
Problem 2: 78 (sum of 1 to 12)
Problem 3: Divide cake into 4 equal parts
Problem 4: e.g., 3 Movie Passes and 1 Arcade Pass ($50)
Problem 5: e.g., 5 dogs and 5 people

But let’s make sure Problem 4: Is 3 Movie + 1 Arcade = 36 + 14 = 50 — yes.
Also 1 Rec + 2 Arcade = 22 + 28 = 50 — also good.

I’ll choose 3 Movie and 1 Arcade.

For Problem 5, I’ll choose 5 dogs and 5 people.

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Final Answer:

1. 612 mph
2. 78
3. Cut the cake into 4 equal pieces so each person gets an equal share.
4. Buy 3 Movie Passes and 1 Arcade Pass (or 1 Recreation Pass and 2 Arcade Passes) — both total $50.
5. 5 dogs and 5 people (one possible answer; others include 7 dogs and 1 person, etc.)