Problem Solving Worksheets With Answer Key - Math Stars Page 27
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39Vol. 7 No. 7
5. [16 and 3] Students can use any clue to begin their search. Knowing that the product is 48 will yield
a set of factors whose sums and differences can be computed and checked against the clues.
Using the fact that the sum is 19, a series of addends can be written and their products and differences
computed and checked. The same is true for the fact that the difference is 13. Students might then be
asked, "Which strategy is most efficient?" or "Which strategy gives the smallest set to be examined?"
The groundwork for algebraic, or symbolic, expression is laid when students express the clues as
equations and then examine the results. The non-commutivity of subtraction makes for a unique
assignment of variables.
6. [27˚, scalene or obtuse] This problem affords a good opportunity to review some vocabulary and
basic facts about triangles.
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7. [79, 119; Y = X
- 2] Students need to look for a pattern; what happens to X to transform it to Y?
8. [2/90] There are ten fish in the pond. The probability of drawing the first 15-pointer is 2/10; the
probability of drawing the second 15-pointer is 1/9, which gives the probability of two in a row as
(2/10)(1/9) or 2/90.
9. Answers will vary.
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