Problem Solving Worksheets With Answer Key - Math Stars Page 9

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Vol. 7 No. 3
5.Using exactly four 4's and any
operations [+, -, x, ÷, (),
1 What is the smallest integer that will
, !], find an
make this expression true? The largest?
expression to equal each of the following:
4 x
+ 9 > 37
11 = _____________ 12 = ____________
13 = _____________ 14 = ____________
2.
If Tony had 18 fewer baseball cards he would
15 = _____________
have half as many as he has now.
How many cards does he have now?
6. If this pattern continues, in which
column will 100 appear?
A B
C
D
E
F
G
3. Three friends buy a motorcycle together.
1
2
3
4
Fred pays half the cost while Georgio pays twice as
7
6
5
much as Hal. What fraction of the bike does
8
9
10
11
Georgio own?
14
13
12
15
...
...
Strategy of the Month
Being a problem solver is something like being a
detective! A detective has to solve crimes by
guessing what happened and checking the guess
to see if it fits the situation. For some problems,
your best strategy may be to make a guess and
then check to see if your answer fits the problem.
If not, decide if your guess was too high or too
4. In the problems below each letter stands for
low and then make a second "guesstimate." A
a different digit.
good detective keeps records (usually some kind
ZX
LM
of chart) to help see any patterns and to narrow
+XZ
x N
down the possibilities. You should do this too.
YZY
LLL
The results of incorrect guesses can give you
valuable clues to the correct solution. Guess and
then check the solution to :
L = ___ M = ___ N = ___
Jo, Ro & Bo have less than 20 tokens. Ro has
X = ___ Y = ___ Z = ___
more than Mo and Mo has more than Bo. Ro
gives Bo three tokens and Mo gives Bo two.
Now they each have the same number. What
did they start with?

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