Dicey
Problem
A game has a special dice with a colour patch on each face.
These three pictures show different views of the same dice.
What colour is opposite Blue?
Student Solutions
Sophie and Ruyi (Annesley College, Adelaide, South Australia) explained how they worked out their answer:
Catherine (Tattingstone Primary UK) got the same answer, but thought it through a little differently:
I worked this out by making two lists. One list was of 'can't' and one of 'can'.I first took all the colours which were shown at the same time as the blue (because opposite blue would be on the bottom of the dice when blue is on the top). They are shown in the 'can't' list. Then that left orange when red was at the top. So orange was the colour opposite blue.
Ece (Private IRMAK Primary & Secondary School, Istanbul, Turkey) showed the position of each colour on the dice by drawing a net of a cube:
Jason (Priory School UK), Alison (UK), Thomas (Tattingstone School UK), Christina (Malborough Primary School, UK), Evren and Christian , Eda , and Ece D (Private IRMAK Primary & Secondary School, Istanbul, Turkey) all agreed that the colour was orange.
Teachers' Resources
Dicey
A game has a special dice with a colour patch on each face.
These three pictures show different views of the same dice.
What colour is opposite Blue?
Why do this problem?
Possible approach
Key questions
Possible extension
Possible support
