## Daily Lego Maths: Day 31

These three squares have the special property that the area of the two smaller squares together is equal to the area of the larger square.

Can you find some more sets of three squares with this property?
What happens if you arrange them in a triangle?

## Daily Lego Maths: Day 30

Here is a rectangle made from squares.
What do you notice? What do you wonder?

What are the dimensions of each square?
The shape was built outwards, starting with the smallest squares. What dimensions of square would we need to add next? Where would we add it?

## Daily Lego Maths: Day 29

In the picture below, three congruent rectangles have been made in different ways with red and blue bricks.
The blue bricks are all arranged pointing up and down. The red bricks are arranged going across.
If we stick to this rule where blue bricks point in one direction and reds in the other, how else could you make this rectangle?

You might like to explore longer rectangles – this is the same size rectangle as five blue bricks, but we could make rectangles from six, seven or even more blue bricks. The bigger the rectangle you start with, the more ways there are of making it from a mixture of reds and blues in this way. Is there a pattern?

## Daily Lego Maths: Day 28

Here are four shapes made out of Lego. Which one doesn’t belong?

Could you make other Lego shapes that belong in a group with some of these ones?
Could you make other groups of Lego shapes?
Could you make shapes that don’t belong in your groups?

## Daily Lego Maths: Day 27

Here is a pattern made from red and white bricks.
What do you notice? What do you wonder?
Can you figure out how the pattern might have been made?
Can you figure out how the pattern might continue?

## Daily Lego Maths: Day 26

On Day 19 the challenge was to find all possible pentominoes – the shapes made from 5 squares. Spoilers below – go and try the task first if you want to have a go for yourself.

Here are the twelve possible pentominoes, made out of lego. Some of them have been fitted together to make an enlargement of one of the pentominoes.

Can you make your own set of pentominoes?
Can you make enlargements of any of the other shapes?
Can you make a rectangle that uses all the pentominoes?

## Daily Lego Maths: Day 25

Here is a large square of Lego bricks.
What do you notice?
What do you wonder?

Can you see any smaller squares in the large square?
Can you see any half-squares?
If this was the fourth pattern in a sequence, what might the fifth one look like?

## Daily Lego Maths: Day 24

Here are two shapes.
What’s the same? What’s different?
What other shapes could you make from these pieces?

How many different rectangles can you make using exactly 24 bricks?
If you had more bricks, could you make more rectangles?

## Daily Lego Maths: Day 23

Here are two shapes made from Lego. What’s the same? What’s different?

Both shapes use 20 red bricks to make the border.
What other shapes can you make with a border made from 20 red bricks?
How many yellow bricks would you need to fill in the interior of your shapes?

## Daily Lego Maths: Day 22

How many bricks would you need to make this shape?
What assumptions did you make to work it out?