Problem Solving Worksheets With Answer Key - Math Stars Page 11
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39Vol. 7 No. 3
About these newsletters...
The purpose of the MathStars Newsletters is to challenge students beyond the classroom
setting. Good problems can inspire curiosity about number relationships and geometric
properties. It is hoped that in accepting the challenge of mathematical problem solving,
students, their parents and their teachers will be led to explore new mathematical
horizons.
As with all good problems, the solutions and strategies suggested are merely a sample of
what you and your students may discover. Enjoy!!
Discussion of the problems...
1. (8 , none) Guess and check is one strategy students may employ remembering the definition of
integer. In pursuing a largest integer, students should note that all integers greater than seven will satisfy
the expression.
2. (36) If 18 fewer cards would leave Tony with half the number he has now, then half is 18. He must
have 36 now.
3. (1/3) Georgio and Hal own half the bike. Their share can be viewed as 1/2 = 3/6 = 2/6 + 1/6.
The share that Georgio owns (2/6) is twice Hal's (1/6).
4. (L = 3, M = 7, N = 9, X = 9, Y = 1, Z = 2) Since Y is the "carry" for Z + X, the largest and only
possible value for Y is one. Therefore, X + Z must be 11. The possibilities are 9 + 2, 8 + 3, 7 + 4, 6 + 5
the second column is 11 + 1 or 12 which makes Z = 2 and X = 9.
5. (Answers will vary.)
6. (C) Dividing by seven (A-G), 100 ÷ 7 = 14 with remainder 2. Multiples of seven are in Column B.
From B, numbers continue left and down to the next row. Proceeding, 99 will be in column A and 100
in column C.
7. (12) Another good problem for the guess and check strategy.
8. (216 cc) Each of the conguent squares has area 1/5(180) or 36 square centimeters. The edge measure
is therefore 6 centimeters. The volume of the box becomes 6 x 6 x 6 or 216 cc.
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