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Maths Games

Lego maths challenges

Use bricks for arrays, fractions, perimeter, area and symmetry.

Quick answer

Lego bricks are a fantastic way to explore maths concepts like arrays, fractions, area, perimeter, and symmetry. You can build with them to see how numbers work, create shapes, and solve real-life problems using your bricks.

Learning outcome

By the end of this page, you will understand how to use Lego bricks to solve maths problems and explore shapes and numbers in a hands-on way. Success signs:
  • You can make arrays with Lego bricks to show multiplication
  • You can build shapes and measure their area and perimeter
  • You can split Lego creations into equal parts to show fractions
  • You can find lines of symmetry in your Lego designs

Why this matters

Lego bricks help you see and touch maths, making it easier to understand. Whether you're building a castle, a car, or a robot, you're also learning how maths works in the real world. This kind of play helps you get ready for more formal maths in school and shows how useful maths can be when you're creating something fun.

How it works

Lego bricks are perfect for maths because they are:
  • Easy to count
  • Good for making equal groups
  • Great for building shapes
  • Helpful for showing symmetry
  • Fun to use for exploring patterns
You can use them to:
  1. Make arrays to show multiplication
  2. Build shapes to find area and perimeter
  3. Split designs into parts to show fractions
  4. Find lines of symmetry in your creations

Examples you can see

Arrays with multiplication Let's say you want to show 3 × 4 using Lego bricks. You can make 3 rows of 4 bricks each. This is an array. Count the bricks: 4 + 4 + 4 = 12. So 3 × 4 = 12. Area and perimeter If you build a rectangle with 6 bricks in each row and 4 rows, you have:
  • Area: 6 × 4 = 24 bricks
  • Perimeter: 6 + 6 + 4 + 4 = 20 bricks
Fractions If you have 12 bricks and split them into 3 equal groups, each group has 4 bricks. So 4/12 = 1/3 of the bricks. Symmetry If you build a tower and then make a mirror image on the other side, the tower is symmetrical.

Try it as a mini adventure

Adventure: Build a Lego Farm You are building a farm with Lego bricks. You want to:
  1. Make 5 rows of 6 bricks to show how many animals live in each pen
  2. Measure the area of the farm by counting how many bricks are in the whole farm
  3. Split your farm into 2 equal parts to show half the animals
  4. Draw a line down the middle to see if it is symmetrical
4th time: How many bricks are in your farm? 5th time: How many animals are in each pen? 6th time: How many animals are in half your farm? 7th time: Is your farm symmetrical?

Common mistakes

  • Mistake: Thinking that 3 × 4 is the same as 4 × 3 just because they both equal 12. Why it happens: Children often mix up the order of multiplication. Fix: Use Lego to show 3 rows of 4 bricks and 4 rows of 3 bricks. They look different even though they equal the same number.
  • Mistake: Forgetting to count all the sides when measuring perimeter. Why it happens: It’s easy to skip a side when building. Fix: Count each side one by one and use a ruler or a brick to check.
  • Mistake: Thinking that a shape is symmetrical if it looks similar on both sides. Why it happens: Not all similar shapes are symmetrical. Fix: Use a mirror or fold the shape to check if both sides are exactly the same.

Parent and carer guide

As a parent or carer, you can help by:
  • Encouraging your child to build with Lego and talk about what they are making
  • Asking questions like: “How many bricks are in each row?” or “How many rows do you have?”
  • Using the bricks to show multiplication and fractions
  • Letting your child explore and make mistakes – it’s part of learning
  • Not worrying if they don’t get the right answer straight away – maths is about thinking and trying

Practice questions

  1. Make 4 rows of 5 bricks. How many bricks are there in total?
  2. Build a rectangle with 3 rows of 6 bricks. What is the area?
  3. You have 12 bricks. Split them into 3 equal groups. How many are in each group?
  4. Build a shape with 8 bricks. How many sides does it have if it is a square?
  5. How many bricks are needed to make a perimeter of 10 bricks?
Answers:
  1. 4 × 5 = 20 bricks
  2. 3 × 6 = 18 bricks
  3. 12 ÷ 3 = 4 bricks
  4. 4 sides
  5. 10 bricks

FAQ

Can Lego be used for all types of maths?

Yes! Lego is great for exploring multiplication, fractions, area, perimeter, symmetry, and even basic addition and subtraction.

What age is best for Lego maths challenges?

Children as young as 4 can start with simple arrays and counting. Older children can explore fractions, area, and symmetry in more depth.

How can I make Lego maths more fun?

Turn it into a game! Ask your child to build something, then ask questions about it. Use stories like “You’re building a castle” or “You’re designing a spaceship” to make it exciting.

Do I need lots of Lego to do these challenges?

No! Even a small set of bricks can be used to explore maths. The key is to think creatively and use what you have.

How can I help my child if they get stuck?

Ask guiding questions like: “Can you count the bricks?” or “What do you notice about the sides?” Let them try and make mistakes – that’s how they learn!