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Maths Adventures

Train maths quest: division

A story-led junior maths adventure using timetables, distances and platform clues to share rewards fairly and split teams into equal groups.

Quick answer

Division is sharing equally or splitting into equal groups. You can use division to split rewards fairly, share teams evenly, or work out how many items each person gets when you share.

Learning outcome

By the end of this page, you will be able to share items or groups equally using division. Success signs:
  • You can split a number into equal groups
  • You can find how many items each person gets when sharing
  • You can use division to solve real problems like sharing rewards or splitting teams
  • You can explain how division helps make fair sharing

Why this matters

Division helps you share things fairly, like when you split a pizza between friends or divide a group of players into teams. In real life, division is used in sports, cooking, games, and everyday situations where you need to share equally. It also helps you understand how many items each person gets when you split a group.

How it works

Division means splitting something into equal parts. You can think of it as:
  1. Sharing a group of items equally
  2. Splitting a number into equal groups
  3. Working out how many items each person gets
Division is the opposite of multiplication. If you know that 3 × 4 = 12, then you also know that 12 ÷ 4 = 3.

Examples you can see

Let's imagine you are on a Train Maths Quest and you have a treasure chest to share with your friends. Example 1: Sharing treasures You find 12 golden coins and you want to share them equally between 3 friends. How many coins does each friend get?
  • Step 1: Think of 12 coins shared between 3 people
  • Step 2: Divide 12 by 3
  • Step 3: 12 ÷ 3 = 4
  • Answer: Each friend gets 4 coins
Example 2: Splitting teams There are 20 children on a train. You need to split them into 4 equal teams for a game. How many children are in each team?
  • Step 1: Think of 20 children split into 4 teams
  • Step 2: Divide 20 by 4
  • Step 3: 20 ÷ 4 = 5
  • Answer: Each team has 5 children
Example 3: Train journey distances A train journey is 60 km long. If the train travels 10 km each hour, how many hours does the journey take?
  • Step 1: Think of 60 km divided by 10 km per hour
  • Step 2: Divide 60 by 10
  • Step 3: 60 ÷ 10 = 6
  • Answer: The journey takes 6 hours

Try it as a mini adventure

Train Maths Quest: The Treasure Split You are on a train journey and you have discovered a treasure chest! Inside, there are 24 magical stickers. You want to share them fairly with your 3 best friends.
  1. 1st time: You have 24 stickers to share between 4 people (you and 3 friends)
  2. 2nd time: How many stickers does each person get? 24 ÷ 4 = ?
  3. 3rd time: You find 30 more stickers! Now you have 54 stickers total. How many does each person get now if you still share between 4 people? 54 ÷ 4 = ?
  4. 4th time: You decide to give 2 stickers to each person, but you only have 20 stickers. How many people can get 2 stickers each? 20 ÷ 2 = ?

Common mistakes

  • Mistake: Thinking that 12 ÷ 3 = 9 instead of 4.
    Why it happens: Confusing division with subtraction or addition.
    Fix: Use objects or draw pictures to show sharing equally. 12 stickers shared between 3 people = 4 each.
  • Mistake: Forgetting that division by zero is not possible.
    Why it happens: Not understanding that you cannot split something into zero groups.
    Fix: Remember that you can't share anything into zero parts. 5 ÷ 0 is not possible.
  • Mistake: Thinking that 10 ÷ 2 = 5 and 2 ÷ 10 = 5.
    Why it happens: Mixing up the order of numbers.
    Fix: Remember that the first number is the total to be shared, and the second is how many groups or people.

Parent and carer guide

  1. How to help: Use everyday sharing examples like splitting cookies or dividing toys into equal groups.
  2. What to say: "If you have 15 sweets and 3 friends, how many do you each get?"
  3. What to watch for: Children might mix up division and multiplication or forget the meaning of sharing equally.
  4. How to keep it fun: Play division games with counters, blocks, or drawings.
  5. What not to worry about: It's okay if they need to count or draw to work out division at first. This builds understanding.

Practice questions

  1. There are 18 apples and 6 children. How many apples does each child get? Answer: 3
  2. 15 toy cars are shared between 3 friends. How many cars does each friend get? Answer: 5
  3. 24 pencils are split between 4 students. How many pencils does each student get? Answer: 6
  4. 30 candies are shared between 5 people. How many candies does each person get? Answer: 6
  5. There are 35 marbles and 7 players. How many marbles does each player get? Answer: 5

FAQ

What does division mean?

Division means sharing equally or splitting something into equal groups.

How can I practice division at home?

You can practice by sharing snacks, toys, or small objects equally with family members.

Why is division important?

Division helps you share fairly, understand how many items each person gets, and solve real-life problems.

Can you divide by zero?

No, you cannot divide by zero. It is not possible to split something into zero groups.

What are some real-life examples of division?

Examples include splitting a pizza between friends, sharing toys, or dividing a group of players into teams for a game.