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 and Lincoln and Jaehyung from ACS Egham International
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.