An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
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?
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