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Additional resources for Aphraates and the Jews. A Study of the Controversial Homilies of the Persian Sage in their Relation to Jewish Thought

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47 24 29 17 97 35 56 67 52 49 6 19 34 44 3 89 3 46 22 26 99 4 11 87 83 13 18 53 74 8 7 75 48 37 28 54 21. Two points are placed on the same side of a square. A segment is drawn from each of these points to each of the 2 vertices (corners) on the opposite side of the square. How many triangles of all sizes are formed? 22. Using the triangle in Problem 10 in Set A, determine whether you can make similar triangles using the digits 1, 2, . . , 9, where the side sums are 18, 19, 20, 21, and 22. 23.

If the length of the court is 6 feet more than twice the width, find the dimensions of the tennis court. 4. A multiple of 11 I be, not odd, but even, you see. My digits, a pair, when multiplied there, make a cube and a square out of me. Who am I? 5. Show how 9 can be expressed as the sum of two consecutive numbers. Then decide whether every odd number can be expressed as the sum of two consecutive counting numbers. Explain your reasoning. 13. Using a 5-minute and an 8-minute hourglass timer, how can you measure 1 minute?

Indd 11 7/30/2013 2:36:21 PM 12 Chapter 1 Introduction to Problem Solving Step 4 Look Back Many similar problems can be posed using fewer or more squares. The problems become much more complex as the number of squares increases. Also, new problems can be posed using patterns of equilateral triangles. 2. If you have a chain saw with a bar 18 inches long, determine whether a 16-foot log, 8 inches in diameter, can be cut into 4-foot pieces by making only two cuts. 3. It takes 64 cubes to fill a cubical box that has no top.

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