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Maths Adventures

Train maths quest: decimals

A story-led junior maths adventure using timetables, distances and platform clues to measure small distances, money and scores with tenths and hundredths.

Quick answer

Decimals help us measure and count parts of a whole, like 0.5 of a metre or 0.25 of a pound. In this train adventure, you'll use decimals to read timetables, measure distances, and work with money and scores – all while helping the train journey along.

Learning outcome

By the end of this page, you will be able to read, write, and use decimals to measure distances, time, and money in real-life train situations. Success signs:
  • You can read decimals like 0.5 and 0.25
  • You can compare decimal numbers
  • You can use decimals to solve train-related problems
  • You can explain how decimals are used in real life

Why this matters

Decimals are used everywhere – in train timetables, on money, in sports scores, and even when you're cooking or measuring things. Understanding decimals helps you know exactly how far you've walked, how much money you have, or how long you've been waiting for the train. As you travel through this adventure, you'll see how decimals make train journeys more accurate and easier to understand.

How it works

Decimals are a way to show parts of a whole number. For example:
  • 0.1 means one-tenth of something
  • 0.25 means twenty-five hundredths of something
  • 0.5 means half of something
When you look at a train timetable, you might see a train arrives at 10:30. That means 30 minutes past 10 o'clock. If you count the minutes in tenths, 30 minutes is 0.5 of an hour. If you're measuring how far a train travels, you might say it went 1.5 kilometres – that’s one and a half kilometres.

Examples you can see

Let’s imagine you’re on a train journey and need to work out how far you've gone. Example 1: Train distance Your train travels 1.5 km in the first 10 minutes. That means 1 whole kilometre and 0.5 of another kilometre. You can think of it like:
  • 1 full kilometre = 1000 metres
  • 0.5 km = 500 metres
So 1.5 km = 1500 metres in total. Example 2: Train time A train leaves at 14:45 (2:45 pm). You want to know how much time is left until it reaches 15:00 (3:00 pm).
  • From 14:45 to 15:00 is 15 minutes
  • 15 minutes is 0.25 of an hour
Example 3: Train money You buy a ticket that costs £3.75. This means:
  • £3 (three pounds)
  • 0.75 (seventy-five pence)
So 3.75 = 3 pounds and 75 pence.

Try it as a mini adventure

Train Maths Quest: The Decimal Journey You are the train conductor and your job is to help passengers understand the journey. You have a train that travels 1.2 km in 10 minutes. You need to calculate how far it goes in 30 minutes. Step 1: You know it goes 1.2 km in 10 minutes. Step 2: You need to find how far it goes in 30 minutes. Step 3: You can think of 30 minutes as 3 lots of 10 minutes. Step 4: 1.2 km × 3 = 3.6 km Challenge: If the train travels 1.2 km in 10 minutes, how far does it go in 50 minutes? Answer: 1.2 km × 5 = 6 km Mini Adventure: You are planning a train journey for a family. The total distance is 12.5 km. You want to stop every 2.5 km to let passengers rest. How many stops will you make? Answer: 12.5 ÷ 2.5 = 5 stops

Common mistakes

  • Mistake: Thinking 0.5 is bigger than 0.75. Why it happens: Confusing decimal places. Fix: Remember that 0.5 = 0.50, so 0.50 is less than 0.75.
  • Mistake: Adding 0.3 + 0.4 = 0.7 instead of 0.70. Why it happens: Not thinking about place value. Fix: Write 0.3 as 0.30 and 0.4 as 0.40. Then add: 0.30 + 0.40 = 0.70.
  • Mistake: Writing 0.5 as 0.500 instead of 0.5. Why it happens: Confusing that 0.5 and 0.500 are the same. Fix: Remember that 0.5 = 0.50 = 0.500 – they are all the same value.

Parent and carer guide

Help your child by:
  • Practising decimals with everyday items like money or measuring tools
  • Using real train timetables to explore times and distances
  • Playing games where you count in tenths and hundredths
  • Encouraging them to explain their thinking when solving decimal problems
  • Not worrying if they make mistakes – they’re learning!
What to say: “Let’s look at this train timetable together. What time is the next train? How much time is between these two trains?” What not to do: Don’t rush or say “That’s wrong” – instead, ask questions like “How did you work that out?”

Practice questions

  1. How many tenths are in 0.7?
  2. What is 0.25 as a fraction?
  3. Which is larger: 0.6 or 0.55?
  4. How much is 0.5 + 0.25?
  5. If a train travels 1.8 km in 10 minutes, how far does it go in 40 minutes?
Answers:
  1. 7 tenths
  2. 25/100 or 1/4
  3. 0.6 is larger
  4. 0.75
  5. 7.2 km

FAQ

What are decimals used for in real life?

Decimals are used in many situations – like measuring distances, telling time, handling money, and scoring in sports.

How do decimals relate to fractions?

Decimals are another way to write fractions. For example, 0.5 is the same as 1/2, and 0.25 is the same as 1/4.

Can decimals be added and subtracted?

Yes! You just line up the decimal points and add or subtract like normal numbers.

Why are decimals important for train journeys?

Decimals help make train journeys more accurate – for example, knowing exactly how far a train has gone or how long it will take to arrive.

How can I help my child practice decimals at home?

Use everyday examples like shopping, cooking, or timing activities to practice reading and using decimals.