Exploring and noticing

problem

Sheep Talk

Age

7 to 11

Challenge level

In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?
problem

There's Always One Isn't There

Age

14 to 16

Challenge level

Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders.
problem

Tricky Triangles

Age

5 to 7

Challenge level

Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
problem

Almost Constant Digits

Age

11 to 14

Challenge level

How many 10-digit numbers containing only 1s, 2s and 3s can you write?
problem
Favourite

Seesaw Shenanigans

Age

3 to 7

Challenge level

A group of animals has made a seesaw in the woods. How can you make the seesaw balance?
problem
Favourite

Paper Patchwork 1

Age

5 to 7

Challenge level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?
problem
Favourite

Paper Patchwork 2

Age

5 to 7

Challenge level

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?
problem

Homes

Age

5 to 7

Challenge level

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
problem
Favourite

Let's Investigate Triangles

Age

5 to 7

Challenge level

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
problem
Favourite

Biscuit Decorations

Age

5 to 7

Challenge level

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?