Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Can you find which shapes you need to put into the grid to make the
totals at the end of each row and the bottom of each column?
Thank you for your solutions to this
tricky challenge. Sebastian and Josh from Swaffham Prior
C of E Primary School Mega Maths Club found two solutions to
the six-digit challenge and outlined their method for
Zara from Oldfield Primary School gave us a
bit more detail about how she worked on the solution.
Daniel also explained very clearly how
he reached the solution. He started in the same way as Zara
but then used a slightly different approach:
Hannah, Megan, Jess, Toby, Callum,
Callum, Lydia, Nadia, Sam and Chris from Peterchurch Primary School
also used very similar reasoning to start with, but used a
different method again towards the end of their
We also received fantastic solutions
from Samuel at St Michael's Primary in Oxford; Orange Kingfishers
at Wood Farm Primary; Alyssa, Caleb, Chelsea, Jake and Katie
from Myland Primary and Krystof from Uhelny Trh, Prague.
Finally, Rachel from Greenacre School for
Girls took the challenge even further. She used digits $0$ to
$9$ and found one solution:
Very well done, Rachel. What
perseverence! The challenge that Rachel set herself is in
fact another NRICH problem in its own right: American Billions. Try it yourself!