Problem Solving Worksheets With Answer Key - Math Stars Page 13
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39Vol. 7 No. 4
4. A hiking club of 34 adults and 27
1. The evil warlord, Medar, has locked
children are on a mountain excursion when they
the beautiful (and brainy) Princess Almedia in a
come upon a swift and deep river. A canoe which
dungeon. To be released, she must find the first
can hold one adult or two children rests on the
perfect square number greater than 100 whose
riverbank. How many trips will it take to get the
digits do not sum to a perfect square! Can you
party across the river if everyone can row the
help her find the number?
canoe?
_________
5. How many squares are in this figure?
2. The Murphys love to give parties. Last
Friday they gave a party and the doorbell rang 15
times. At the first ring, one guest arrived. Each
time the doorbell rang after that, two more guests
arrived than the time before.
1st ring
2nd ring
3rd ring
Strategy of the Month
Noticing patterns helps people solve problems
On Saturday they had another party. At the first
at home, at work, and especially in math class!
ring of the doorbell a single guest arrived, at the
Math has been called "the study of patterns," so
second ring two guests appeared, at the third ring
it makes sense to look for a pattern when you
three guests and so on. If the doorbell rang 20
are trying to solve a problem. Recognizing
times Saturday night, how many guests attended?
patterns helps you to see how things are orga-
Was this party bigger than Friday's? How do you
nized and to make predictions. If you think you
know?
see a pattern, try several examples to see if
using the pattern will fit the problem situation.
Looking for patterns is helpful to use along
with other strategies such as make a list or
3. Steve, Adam, Jose and Don are going
guess and check. How can finding a pattern
camping. Steve brought $5 worth of snacks.
help you solve this problem?
Adam bought hot dogs and buns for $4, Jose spent
$8 on the s'mores and other goodies while Don
2
3
4
If 3
=9 , 3
=27 , 3
= 81, the products have
bought sodas for $3. If expenses are to be shared
9,7,1 respectively in the one's place. If you
equally, how much should each pay the other?
15
compute 3
, what number will be in one's
place?
2
3
4
Is there a similar pattern for 4
,4
, 4
...?
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