The letters of the word ABACUS have been arranged in the shape of a
triangle. How many different ways can you find to read the word
ABACUS from this triangular pattern?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
This was a very popular problem - we received
over 200 correct solutions including many from Oxgangs Primary
School in Edinburgh, Red Hill Field Primary School, Culford Prep
School, Jebel Ali Primary School in Dubai, Greenfields Junior
School, Howell's School in Cardiff,Archbishop Temple High School,
Stewart County Middle School, Hassall Grove P.S. in Australia,
St.Paul's Catholic College, Cardiff High School,Casterton
Preparatory School, Outwoods Edge Primary School, Thomas Deacon
Danielle from Howell's School in Cardiff
explained the strategy for getting the four friends across in the
Josh captured the different stages here
Patrick from Woodbridge School wrote:
Rhea and Macy from Mason Middle School found
another set of timings when both Strategies would give identical
Harry from Dumpton School compared the times
involved in each strategy:
Someone calling themselves "a very old person"
used the same reasoning to explain how to choose between the
Here are examples of each case:
2B = A+C (use either Strategy) when the times
are 4, 5, 6, and 7
A+C is greater than 2B (use Strategy 1) when
the times are 1, 2, 7 and 10 (as in the original problem)
A+C is less than 2B (use Strategy 2) when the
times are 1, 8, 9 and 10