Imagine you have six different colours of paint. You paint a cube
using a different colour for each of the six faces. How many
different cubes can be painted using the same set of six colours?
How many positive integers less than or equal to 4000 can be
written down without using the digits 7, 8 or 9?
Explain why it is that when you throw two dice you are more likely to get a score of 9 than of 10. What about the case of 3 dice? Is a score of 9 more likely then a score of 10 with 3 dice?
Class 9Y-1 from Downend School sent us the correct solution and showed that it satisfied the criteria:
Similar solutions were sent by Kate and Hannah from Marist College in New Zealand; students from Wingham Primary School; James from Wellington School; Can, Jack and Lee from Ashmount Primary School; Patrick and Natalie also from Ashmount Primary School; Thomas, Jack, Jim, Jenny and Timothy from Bay House School; Tasmin from St. Pauls; Kirsty from Herts and Essex High School;
Levi from Greenwood Junior School; Tommy from St Mary's Hall, Lincoln and Jaehyung from ACS Egham International School, and Daniel from Ysgol Dyffryn Dulas Corris.
Jae explained his reasoning:
Alex from Bristol Grammar School also explained his reasoning:
Sammy & Lucy from Hove Park School also showed that their solution satisfied all the criteria:
Well done to you all.