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Sports Day Maths

Maths in sports day: fair teams

Share children into equal teams.

Quick answer

You can make fair teams for sports day by sharing the number of children equally between teams, using division or repeated subtraction.

Learning outcome

By the end of this page, you will be able to share a group of children into equal teams, using division or repeated subtraction. Success signs:
  • You can divide a number of children into equal teams
  • You can explain how you shared them fairly
  • You can check if your teams are equal
  • You can solve a problem about sharing children into teams

Why this matters

Maths helps you make fair teams for sports day. When you have a group of children, you need to split them into teams so everyone gets a fair chance to play. This is a real-life maths problem that uses division and sharing. You might also use this when sharing snacks, toys, or even when playing board games with friends.

How it works

To make fair teams, you need to:
  1. Count how many children there are
  2. Decide how many teams you want
  3. Divide the total number by the number of teams
  4. Check if each team has the same number of children
You can also use repeated subtraction to find out how many children go in each team. For example, if you have 12 children and want 3 teams, you can subtract 3 from 12 repeatedly until you get to 0, counting how many times you subtracted.

Examples you can see

Let's imagine you are helping plan sports day. You have 16 children and want to make 4 teams. Method 1: Division
  • 16 children ÷ 4 teams = 4 children per team
Method 2: Repeated subtraction
  • Start with 16 children
  • Subtract 4 (for first team): 16 - 4 = 12
  • Subtract 4 (for second team): 12 - 4 = 8
  • Subtract 4 (for third team): 8 - 4 = 4
  • Subtract 4 (for fourth team): 4 - 4 = 0
  • You subtracted 4 four times, so 4 children per team
Another example: 20 children in 5 teams
  • 20 ÷ 5 = 4 children per team

Try it as a mini adventure

Adventure: Sports Day Team Builder You are the sports day captain! You have 24 children in your class and need to make teams for football. You want to make 6 teams.
  1. How many children will be in each team?
  2. Check if your answer is fair
  3. Try making 3 teams with 24 children
  4. How many children are in each team now?
Challenge: You have 18 children and want 3 teams. How many children are in each team? Answer: 18 ÷ 3 = 6 children per team

Common mistakes

  • Mistake: Not checking if teams are equal
    Why it happens: Children might quickly divide without double-checking
    Fix: Count the children in each team to make sure they are the same
  • Mistake: Forgetting that division means sharing equally
    Why it happens: Confusing division with multiplication
    Fix: Remember that sharing equally means each team gets the same amount
  • Mistake: Using the wrong number for teams
    Why it happens: Misreading the problem
    Fix: Read the question carefully and make sure you know how many teams you need

Parent and carer guide

To help your child learn about fair teams:
  • Ask them to share toys or snacks into equal groups
  • Use real-life examples like sharing 12 cookies among 4 friends
  • Encourage them to check their work by counting each group
  • Ask questions like: "How many will each person get?" or "Are the groups equal?"
  • Use games or puzzles that involve sharing equally
  • Don't worry if they make mistakes - it's part of learning

Practice questions

  1. There are 10 children. Make 2 teams. How many children are in each team?
  2. There are 15 children. Make 3 teams. How many children are in each team?
  3. There are 20 children. Make 4 teams. How many children are in each team?
  4. There are 25 children. Make 5 teams. How many children are in each team?
  5. There are 30 children. Make 6 teams. How many children are in each team?
Answers:
  1. 10 ÷ 2 = 5 children per team
  2. 15 ÷ 3 = 5 children per team
  3. 20 ÷ 4 = 5 children per team
  4. 25 ÷ 5 = 5 children per team
  5. 30 ÷ 6 = 5 children per team

FAQ

How do I know if my teams are fair?

Each team should have the same number of children. You can check by counting or using division.

What if I have children left over?

If there are children left over, they can be added to existing teams or you can make one extra team.

Can I make teams with different numbers?

Yes, but they won't be fair teams. Fair teams have equal numbers of children.

How can I practice this at home?

Use toys, snacks, or family members to practice sharing into equal groups.

Why is sharing equally important?

It helps everyone get a fair chance to play and feel included in activities.