Charlie and Lynne put a counter on 42. They wondered if they could
visit all the other numbers on their 1-100 board, moving the
counter using just these two operations: x2 and -5. What do you
Can you find the values at the vertices when you know the values on
Can you make a hypothesis to explain these ancient numbers?
We received several very detailed solutions to
this problem - thank you. You might have noticed that, like in real
life, even if you kept the training regime the same, the rowers'
time trials did vary slightly so this means you won't all have
found exactly the same optimum training regime.
Sarah and Lauren, and Laura and Emily, and
Elle and Danielle, all from St. Mary's C.E. Primary Albrighton,
used a spreadsheet to keep track of the trials. Here are Laura and
I wonder what made you jump from the values in
test 11 to test 12? Perhaps you were listening to what your other
classmates had tried too? So, the best time that they got was
24.75s when the training included 30 minutes of circuits, 8 miles
running and 4 hours of rowing.
Sam, Alex and Ryan from Brewood Middle
School also used a spreadsheet, which you can see here
. They say:
Their suggested regime is 19 minutes of
circuits, 10 miles of running and 5 hours of rowing which gave a
time of 25 seconds.
Yasmin from Rochester Grammar School told
Yasmin also sent this
spreadsheet which shows the
combinations she tried.
Thank you also to pupils from Wesley College
for your comments.