Exploring and noticing

game
Favourite

Factors and Multiples Game

Age

7 to 16

Challenge level

1 out of 3

A game in which players take it in turns to choose a number. Can you block your opponent?
problem
Favourite

Xavi's T-Shirt

Age

7 to 16

Challenge level

1 out of 3

How much can you read into a T-shirt?
problem
Favourite

Almost One

Age

11 to 14

Challenge level

1 out of 3

Choose some fractions and add them together. Can you get close to 1?
problem
Favourite

Angles Inside

Age

11 to 14

Challenge level

1 out of 3

Draw some angles inside a rectangle. What do you notice? Can you prove it?
problem
Favourite

Climbing Complexity

Age

11 to 14

Challenge level

1 out of 3

In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?
problem
Favourite

Days and Dates

Age

11 to 14

Challenge level

1 out of 3

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
problem
Favourite

Frogs

Age

11 to 14

Challenge level

1 out of 3

How many moves does it take to swap over some red and blue frogs? Do you have a method?
problem
Favourite

Largest Product

Age

11 to 14

Challenge level

1 out of 3

Which set of numbers that add to 100 have the largest product?
problem
Favourite

Cinema Problem

Age

11 to 14

Challenge level

1 out of 3

A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
problem
Favourite

Shady Symmetry

Age

11 to 14

Challenge level

1 out of 3

How many different symmetrical shapes can you make by shading triangles or squares?