Question 2 for this challenge continues the 'make
something' theme for
this semester. We have found that almost every hardware store will have
50mm PVC pipe and I'm sure that they will cut off as many 10mm slices as
you need to complete the question. Double sided tape works well to join
the OHP transparency to the pipe and a strip of ordinary cellotape along
the outside join will help keep the flume in place.
Question 1
How
should the numbers 1 - 9 be positioned in the empty boxes so that the
totals of the rows are the consecutive numbers 14, 15 and 16 and the
totals of the columns are the consecutive odd numbers 13, 15 and 17?
Question 2
Flume
Gliders
Take a 10mm length of 50mm PVC pipe and, to make the
flume, attach a piece of overhead projector transparency with double-sided
tape. Run a piece of ordinary tape up the outside of the flume to cover
the join.
We have made a few of these, but we can't decide how
long the flume should be.
The Challenge
Make and test three flume-gliders with flumes of
different lengths so that you can advise what the length of the flume
should be for the best flight results.
Include photos of your gliders in your answer and let us
know what experiments you made to reach your conclusions.
Question 3
These
nine counters have the same number on each side, but a coloured green on
one side and yellow on the other side.
The Challenge
In what different ways can you turn over two of the
counters to make the total of the green counters the same as the total on
the yellow counters?
What if you had to turn over 3, 4, 5, 6 or even 7
counters? Is it still possible to make the total on the green counters the
same as the total on the yellow counters each time?
If you would like some help with this one, click on the
link below to open up an applet that will keep a score of the totals as
you go.
How
should the numbers 1 - 9 be positioned in the empty boxes so that the
totals of the rows are the consecutive numbers 14, 15 and 16 and the
totals of the columns are the consecutive odd numbers 13, 15 and 17?
Flume
Gliders
These
nine counters have the same number on each side, but a coloured green on
one side and yellow on the other side.