List

LTHC 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.

 

Flippin' discs
problem

Flippin' discs

Age
11 to 14
Challenge level
filled star empty star empty star

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
problem

Odds and evens

Age
11 to 14
Challenge level
filled star empty star empty star

Are these games fair? How can you tell?

Cosy corner
problem

Cosy corner

Age
11 to 14
Challenge level
filled star filled star empty star

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
problem

Two's company

Age
11 to 14
Challenge level
filled star filled star empty star

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Factorising with Multilink
problem

Factorising with multilink

Age
14 to 16
Challenge level
filled star empty star empty star

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Hollow Squares
problem

Hollow squares

Age
14 to 16
Challenge level
filled star empty star empty star

Which armies can be arranged in hollow square fighting formations?