Low Threshold High Ceiling Tasks for Secondary Classrooms

Low Threshold High Ceiling Tasks for Secondary Classrooms

In our latest feature, we explore what is meant by Low Threshold High Ceiling tasks. The collection of problems is designed to offer accessible starting points that can lead to challenging extensions.
The last day for submitting solutions is Monday 9 December.
In this article for teachers, we explain what is meant by Low Threshold High Ceiling tasks, and why we like them.
This article explores the key features of a Low Threshold High Ceiling classroom.

Flippin' Discs live

Age 11 to 14 Challenge Level:
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

Odds and Evens live

Age 11 to 14 Challenge Level:
Are these games fair? How can you tell?

Cosy Corner live

Age 11 to 14 Challenge Level:
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Two's Company live

Age 11 to 14 Challenge Level:
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Factorising with Multilink live

Age 14 to 16 Challenge Level:
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Hollow Squares live

Age 14 to 16 Challenge Level:
Which armies can be arranged in hollow square fighting formations?