Math word problems worksheet for students to practice real-life scenarios.

Here are the step-by-step solutions for the word problems on the worksheet.

1. Airplane Speed
* Goal: Find out how fast the plane is flying (speed).
* Formula: Speed = Distance ÷ Time.
* Step 1: Identify the distance. The problem says San Francisco is 3060 miles away.
* Step 2: Identify the time. The flight takes 5 hours.
* Step 3: Divide the distance by the time.
$$3060 \div 5 = 612$$
* Result: The plane travels at 612 miles per hour.

2. Twelve Days of Christmas
* Goal: Add up all the gifts mentioned in the song verse.
* List the items:
* Partridge in a Pear Tree: 1
* Turtle Doves: 2
* French Hens: 3
* Calling Birds: 4
* Golden Rings: 5
* Calculation: Add these numbers together.
$$1 + 2 + 3 + 4 + 5 = 15$$
* Note: The answer written on the paper ("78") is actually the total for *all* 12 days combined. However, the question specifically asks about the "12 days of Christmas" verse listing those specific birds and rings. Based strictly on the list provided in the text of the question, the sum is 15. If the question implies the cumulative total of the whole song, it would be 78, but usually, these questions want you to add the visible numbers. Let's look closer. The question lists specific items found in the *first five verses*. It asks "how many gifts did the 'True Love' receive?". In the context of just that list, it is 15.

3. Birthday Cake Sharing
* Goal: Figure out how to cut a cake so everyone gets a fair share.
* Count the people:
* You: 1
* Two friends: 2
* A 4th friend who comes later: 1
* Total people = $1 + 2 + 1 = 4$ people.
* Action: To share fairly among 4 people, you need to divide the cake into 4 equal parts.
* How to cut: Cut the cake in half vertically, then cut it in half horizontally (like a plus sign `+`). This creates 4 equal slices.

4. Gift Certificate Spending
* Goal: Spend as close to $\$50.00$ as possible using one movie pass and one recreation pass.
* Prices:
* Movie Passes: $\$12.00$, $\$14.00$
* Recreation Passes: $\$22.00$, $\$20.00$
* Combinations:
1. $\$12$ (Movie) + $\$22$ (Rec) = $\$34.00$
2. $\$12$ (Movie) + $\$20$ (Rec) = $\$32.00$
3. $\$14$ (Movie) + $\$22$ (Rec) = $\$36.00$
4. $\$14$ (Movie) + $\$20$ (Rec) = $\$34.00$
* Comparison: We want the total closest to $\$50.00$.
* $\$36.00$ is the highest amount we can spend.
* Difference from $\$50$: $\$50 - \$36 = \$14$ left over.
* Selection: Buy the $\$14.00$ Movie Pass and the $\$22.00$ Recreation Pass.

5. Skating Party Legs
* Goal: Find out how many legs are on the outdoor rink.
* Rule: Only count legs touching the ice (on the rink). People inside or outside the building don't count. Dogs generally don't go on ice rinks, but even if they did, the prompt distinguishes between "outdoor rink" and "outside". Usually, in these riddles, only humans wearing skates are on the rink.
* Analyze the groups:
* 30 logs: Logs do not have legs. (0 legs)
* 4 dogs: Dogs are likely "outside" or not wearing skates. Even if they were there, standard riddle logic usually excludes animals from "skating" unless specified. However, the most important clue is "people... are on the outdoor rink".
* 7 people: These people are explicitly stated to be on the outdoor rink.
* Calculation: Humans have 2 legs.
$$7 \text{ people} \times 2 \text{ legs/person} = 14 \text{ legs}$$
* Check: Do the dogs count? The text says "7 people [are] on the outdoor rink". It lists the dogs separately. Usually, dogs are not allowed on ice rinks. Therefore, only the human legs count.

Final Answer:
1. 612 mph
2. 15 gifts
3. Cut the cake into 4 equal slices (cut in half, then half again).
4. Buy the $14.00 Movie Pass and the $22.00 Recreation Pass.
5. 14 legs