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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Low Threshold High Ceiling Tasks

### Sort the Street

### Inside Triangles

### Sizing Them Up

### Noah

### Totality

### Four Triangles Puzzle

### Poly Plug Rectangles

### How Many?

### Nine-pin Triangles

### Tiling

### Reach 100

### Magic Crosses

### Neighbourly Addition

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We hope that you find you can easily get started on the activities in this feature but that you can also take the mathematics to great heights!

Age 5 to 7

Challenge Level

Sort the houses in my street into different groups. Can you do it in any other ways?

Age 5 to 7

Challenge Level

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Age 5 to 7

Challenge Level

Can you put these shapes in order of size? Start with the smallest.

Age 5 to 7

Challenge Level

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

Age 5 to 11

Challenge Level

This is an adding game for two players. Can you be the first to reach the target?

Age 5 to 11

Challenge Level

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Age 5 to 11

Challenge Level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Age 5 to 11

Challenge Level

Have a look at these photos of different fruit. How many do you see? How did you count?

Age 7 to 11

Challenge Level

How many different triangles can you make on a circular pegboard that has nine pegs?

Age 7 to 11

Challenge Level

An investigation that gives you the opportunity to make and justify predictions.

Age 7 to 11

Challenge Level

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Age 7 to 14

Challenge Level

Can you find examples of magic crosses? Can you find all the possibilities?

Age 7 to 14

Challenge Level

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?