1. No category

Problem of the Week
Problem B
Dizzying Distances
Dizzy the indecisive rabbit is sitting by his favourite
tree stump when he hears a dog barking nearby.
In a panic, he runs 1 m to the right, then turns around
and runs 3 m to the left, then turns around and runs
5 m to the right, then 7 m left, etcetera.
a) If he continues to run in this pattern,
how far will he be from the stump as
he makes his 10th turn?
Turn
No.
Total
Distance
Run
b) What is the total distance Dizzy has
run at his 3rd turn? At his 6th turn?
How are these distances related to
the number of turns?
Position
R, L
(right or left
of stump)
1
1m R
1m
2
2m L
c) Using your results from part b), predict the total distance Dizzy will
have run as he makes his 10th turn.
Check your prediction by completing
the table at the right.
Check out other CEMC resources here:
cemc.uwaterloo.ca/resources/resources.html
Strand: Number Sense, Patterning and Algebra