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Travel Maths

Maths hiding in travel: train platforms

Use platform numbers, carriage numbers and seat numbers.

Quick answer

Maths is all around us when we travel, especially on train platforms. You can use platform numbers, carriage numbers, and seat numbers to practice counting, patterns, addition, subtraction, and even multiplication!

Learning outcome

By the end of this page, you will be able to use numbers on train platforms to solve simple maths problems like:
  • Counting forward and backward along platform numbers
  • Recognising patterns in carriage numbers
  • Using seat numbers to practice addition and subtraction
  • Applying maths to plan your journey

Why this matters

When you travel by train, you're not just moving from one place to another – you're using maths every step of the way! Platform numbers help you find your train, carriage numbers help you find your carriage, and seat numbers help you find your seat. All of this uses maths that you already know and can use to solve problems. Understanding these numbers helps you feel confident when you travel, and it helps you learn to use maths in real life.

How it works

Think of a train platform like a long line of numbers. Each platform has a number, like platform 1, platform 2, and so on. When you're waiting for your train, you can count these numbers to make sure you're on the right one. Train carriages are also numbered, and they usually go in a pattern. Seat numbers help you find where you're sitting. You can use these numbers to solve simple problems like:
  1. Counting how many platforms there are
  2. Adding or subtracting carriage numbers
  3. Working out how many seats are in a carriage
  4. Using seat numbers to find a friend

Examples you can see

Let’s imagine you’re at a train station with 10 platforms. The platforms are numbered from 1 to 10. If you're waiting for a train on platform 5, you can count backwards to platform 1, or forwards to platform 10. This helps you know where you are. Example 1: Counting Platforms If you start at platform 3 and walk to platform 8, how many platforms did you walk past?
  • Platform 3 (start)
  • Platform 4
  • Platform 5
  • Platform 6
  • Platform 7
  • Platform 8 (end)
You walked past 5 platforms. Example 2: Carriage Numbers A train has carriages numbered 1, 2, 3, 4, 5, 6. If you want to find carriage number 4, you count from carriage 1. You can also count backwards from carriage 6 to carriage 4. Example 3: Seat Numbers In a carriage, seats are numbered like 1, 2, 3, 4, 5, 6. If you are in seat 3 and your friend is in seat 6, how many seats are between you?
  • Seat 3 (you)
  • Seat 4
  • Seat 5
  • Seat 6 (friend)
There are 2 seats between you.

Try it as a mini adventure

Adventure: The Train Station Challenge You are planning a journey on the train. Your train leaves from platform 1 and you need to get to platform 7. But you have to walk past some platforms to get there. Here’s your challenge:
  1. Start at platform 1
  2. Walk to platform 2
  3. Walk to platform 3
  4. Walk to platform 4
  5. Walk to platform 5
  6. Walk to platform 6
  7. Walk to platform 7
How many platforms did you walk past in total? Answer: You walked past 6 platforms. Now, let’s say your friend is in carriage 3 and you are in carriage 5. How many carriages are between you? Answer: There are 1 carriage between you.

Common mistakes

  • Mistake: Thinking that if you go from platform 3 to platform 7, you walk past 4 platforms.
    Why it happens: Children often subtract the numbers without counting the platforms in between.
    Correct answer: You walk past 4 platforms (4, 5, 6, 7), but you started at platform 3, so it's 4 platforms you walked past.
  • Mistake: Confusing carriage numbers with seat numbers.
    Why it happens: Both are numbers, so it's easy to mix them up.
    Correct answer: Carriage numbers tell you which carriage to get on, seat numbers tell you where you sit.
  • Mistake: Counting from the wrong platform when solving problems.
    Why it happens: Children sometimes forget to include the starting platform.
    Correct answer: Always remember to include the starting platform in your count.

Parent and carer guide

Parents and carers can help children practice train platform maths by:
  • Walking with your child to the train station and asking them to count platforms
  • Using the numbers on the platform to play counting games
  • Practicing adding and subtracting carriage numbers when looking at train carriages
  • Encouraging children to find friends using seat numbers
  • Using real-life examples to make the maths more relatable
It's important not to rush or pressure your child. Let them explore and ask questions. If they make a mistake, guide them gently by asking questions like, "How many platforms did you walk past?" or "What numbers did you count?"

Practice questions

  1. If you start at platform 2 and walk to platform 6, how many platforms did you walk past?
  2. A train has carriages numbered 1 to 8. If you are in carriage 5, how many carriages are between you and carriage 8?
  3. If seat number 4 is next to seat number 5, and seat number 6 is next to seat number 7, how many seats are between seat 4 and seat 7?
  4. You are at platform 10 and you walk to platform 4. How many platforms did you walk past?
  5. If carriage 1 is at the front and carriage 5 is at the back, how many carriages are between them?
Answers:
  1. 4 platforms
  2. 2 carriages
  3. 2 seats
  4. 5 platforms
  5. 3 carriages

FAQ

What numbers do train platforms usually have?

Train platforms are usually numbered with consecutive numbers like 1, 2, 3, 4, 5, etc. Some stations might have even or odd numbers on different sides of the station.

How can I use platform numbers to practice maths?

You can practice counting, addition, and subtraction by moving from one platform to another. For example, if you're on platform 3 and walk to platform 7, you can count how many platforms you passed.

Why do train carriages have numbers?

Carriage numbers help passengers find their way to the right carriage. They also help train staff know which carriages to load and unload.

Can I use seat numbers to solve puzzles?

Yes! You can use seat numbers to find a friend, or to figure out how many seats are between you and someone else. It's a fun way to practice addition and subtraction.

How can I make learning about train platforms more fun?

Try playing counting games with platform numbers, or use a toy train set to practice finding carriages and seats. You can also look for patterns in the numbers and make up stories about your train journey.