Problem Solving Worksheets With Answer Key - Math Stars Page 28
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39Vol. 7 No. 8
1.
Using the digits 1, 2, 3, and 4 you
4.
Al's Awesome Autos advertised a
can make 24 different four-digit numbers.
special sale on cars - Dealer cost plus 5%!!
What is the sum of these numbers?
Jack and Margaret bought a luxury sedan
for $23,727.90. What was the dealer's
cost?
_________
2.
The seven families that live in
Melville Towers want to plant a garden
5.
A craftsman wanted to make a
behind their building. They have laid out a
large set of wooden dominoes for his niece.
rectangular region with seven congruent
Each of the two halves of a domino would
plots, one for each family, as shown in the
be marked with zero to nine dots. If he is
diagram below.
to make a complete set with one domino
a
a
a
a
for each possible combination, how many
blocks of wood will he need?
________
b
b
a
a
Strategy of the Month
b
b
b
What do you do if you have a problem that
seems to be very complicated? It may have a
Each family's plot is 48 square meters. If a
lots of large numbers, too much information,
fence is to be built around the entire
or multiple conditions. One approach is to
garden along the outside boundary, how
create a simpler problem like the one you
need to solve. As you solve the easier problem,
much fencing is needed?
_________
you may see the way to solve the more difficult
one. Or you may discover a different process
3.
Builders have observed that residence
that will work with the harder problem. The
windows are most attractive if they have
trick is to be sure that your simpler problem is
the width to length ratio 3:5. If a window
enough like the original one that the patterns
is to be 48 inches wide, what should its
or process you use will help you with the
harder situation. Make a simpler problem
length be for the most attractive
first as you solve this: What is the sum of
appearance?
________
the first 500 counting numbers? i.e. The sum
of 1 + 2 + 3 + 4 + . . . + 496 + 497 + 498 +
499 + 500 ? How about only the odds : 1+ 3 +
5 +7 + . . .+ 493 + 495 + 497 + 499 ?
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