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.

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Low Threshold High Ceiling - an introduction

In this article for teachers, we explain what is meant by Low Threshold High Ceiling tasks, and why we like them.

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Creating a Low Threshold High Ceiling Classroom

This article explores the key features of a Low Threshold High Ceiling classroom.

problem

Favourite

Flippin' discs

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?

problem

Favourite

Odds and Evens

Age

11 to 14

Challenge level

Are these games fair? How can you tell?

problem

Favourite

Cosy corner

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?

problem

Favourite

Two's company

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?

problem

Favourite

Factorising with Multilink

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?

problem

Favourite

Hollow Squares

Age

14 to 16

Challenge level

Which armies can be arranged in hollow square fighting formations?

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