Maths hiding in cooking: packed lunches

Quick answer

Maths is all around us – even in your packed lunch! When you plan a balanced lunch, you're using maths to count, sort, and share food fairly. You're also using maths to make sure you have the right amount of each food group, which helps you stay healthy and energised.

Learning outcome

By the end of this page, you will be able to plan a balanced packed lunch using maths to count, sort, and share food fairly.

• You can sort foods into healthy groups (fruits, proteins, grains, etc.)
• You can count how many portions of each food you need
• You can make sure your lunch box has the right balance of nutrients
• You can share your lunch with a friend using fair maths

Why this matters

When you pack a lunch, you're not just choosing what to eat – you're using maths to make sure your lunch is healthy and balanced. You're counting how many pieces of fruit you have, sharing sandwiches fairly, and making sure you have the right mix of foods to keep your energy up. This helps you do well at school and play hard at break time!

Maths in the kitchen also helps you understand how to divide things fairly, which is useful when sharing with friends or family. Whether you're packing for a picnic or making a sandwich for a friend, you're using maths to make smart choices.

How it works

Planning a packed lunch with maths is easy when you break it down into steps:

1. Choose your foods – think about what you want to eat
2. Sort them into groups – fruits, proteins, grains, and dairy
3. Count how many you need – make sure you have enough for a healthy lunch
4. Share fairly – if you're sharing with a friend, divide the food equally

For example, if you have 6 sandwiches and 2 friends, you can use division to figure out how many sandwiches each person gets. This is called sharing fairly, and it's a big part of maths!

Examples you can see

Imagine you're packing your lunch box for the day. You have:

• 3 sandwiches
• 2 pieces of fruit
• 1 small bag of crisps
• 1 drink

Let’s sort these into groups:

Now, let’s say you want to share your lunch with a friend. You have 3 sandwiches and 2 friends. How many sandwiches can each person get?

3 ÷ 2 = 1.5

So each person gets 1 sandwich and half of the third one. You can cut the third sandwich into 2 equal pieces!

Try it as a mini adventure

Adventure: The Healthy Lunch Challenge!

You are a chef for a school picnic and must pack lunches for 4 friends. Each friend wants:

1. 1 sandwich
2. 2 pieces of fruit
3. 1 drink
4. Half a bag of crisps

How many of each item do you need to pack for everyone?

Let’s work it out together:

• 1 sandwich × 4 friends = 4 sandwiches
• 2 pieces of fruit × 4 friends = 8 pieces of fruit
• 1 drink × 4 friends = 4 drinks
• Half a bag × 4 friends = 2 bags of crisps

You need to pack 4 sandwiches, 8 pieces of fruit, 4 drinks, and 2 bags of crisps. Great job, Chef!

Common mistakes

• Mistake: Thinking you only need 1 sandwich for 4 friends.
  Why it happens: Not counting how many people you’re sharing with.
  Fix: Always multiply the number of items by the number of people.
• Mistake: Forgetting to count how many pieces of fruit you have.
  Why it happens: Getting distracted by other foods in your lunch box.
  Fix: Make a list or count each item as you put it in your lunch box.
• Mistake: Sharing food by just cutting it in half, not making equal parts.
  Why it happens: Not using a ruler or measuring tool to cut evenly.
  Fix: Use a knife or cutting board to make sure each piece is the same size.

Parent and carer guide

Packing a lunch with your child is a fun way to teach them maths in a real-world setting. Here’s how to help:

1. Ask questions – “How many sandwiches do you need for everyone?” or “Can you count how many pieces of fruit you have?”
2. Use real objects – let them handle the food and count it out
3. Encourage sorting – help them put food into groups (fruits, grains, proteins)
4. Make it a game – turn packing into a challenge or competition
5. Be patient – mistakes are part of learning, and it’s okay to try again

Remember, you don’t need to be a maths expert to help. Just ask questions, count, and encourage your child to think about how many of each item they need.

Practice questions

1. Question: You have 5 friends and want to share 10 cookies equally. How many cookies does each friend get?
   Answer: 10 ÷ 5 = 2 cookies each
2. Question: You pack 3 sandwiches and 2 drinks for 2 friends. How many sandwiches and drinks does each person get?
   Answer: 3 sandwiches ÷ 2 = 1.5 sandwiches each, 2 drinks ÷ 2 = 1 drink each
3. Question: You have 6 pieces of fruit and 3 friends. How many pieces of fruit does each friend get?
   Answer: 6 ÷ 3 = 2 pieces of fruit each
4. Question: You need 4 drinks for 4 friends. How many drinks do you need?
   Answer: 4 drinks
5. Question: You have 8 pieces of fruit and 4 friends. How many pieces of fruit does each friend get?
   Answer: 8 ÷ 4 = 2 pieces of fruit each

FAQ

How can I use maths to make a healthy lunch?

You can use maths to count how many pieces of fruit you have, sort foods into groups, and make sure you have the right amount of each food group for a balanced lunch.

Why is it important to share food fairly?

Sharing food fairly helps everyone get a good amount and makes sure no one feels left out or gets too much. It also teaches you how to divide things using maths.

Can I use maths to plan a lunch for a party?

Yes! You can use maths to count how many sandwiches or cookies you need, and to make sure there are enough for everyone.

What if I don’t have enough food for everyone?

You can use maths to figure out how many more items you need or to adjust the portions so everyone gets a fair share.

How can I make packing a lunch more fun?

You can turn packing into a game, count how many items you have, or make a chart to track your lunch box items. You can also let your child choose what to pack and how to sort it!