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Find as many other examples of this as you can. In each case, you must write the cubes in order as in the given example. Re-ordering does NOT make a different example. Also, you may not multiply the integers on the left by a square, and the integer on the right by the corresponding cube. Thus, 43+83 = 242, or (1×22)3+(2×22)3 = (3×23)2, is exactly the same as the first example given.
Give your solution to your Mathematics teacher, who will forward it to:
Mathematical Challenge for Junior High School Students 1999-2000: # 4
Department of Mathematics and Statistics
Memorial University of Newfoundland
St. John's, Newfoundland. A1C 5S7
DEADLINE for postmarking of solutions: 20 March 2000
Make sure that your solution is written legibly and neatly.
A copy of the following form MUST accompany the entry for each student:
| STUDENT'S NAME | ------------------------------------- | (Please PRINT) |
| School | ------------------------------------- | |
| Community | ----------------------------- | |
| Grade | --------- | Teacher's Name ----------------------------- |
| This is my own unaided work | (Calculators are permitted, | |
| but computers are not) | ||
| Signed | ------------------------------------- | Date ------------------- |