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Problem
Solving Strategy
~ Solve a Simpler Problem ~ |
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Solution |
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1.Make a table and work backward from year 7 when there are 3200
rabbits. Since population doubles each year, working backward means halving it.
| Possible size of Square |
No. of each size |
|
|
9 |
|
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4 |
|
|
1 |
Total |
= 14 |
2. Divide the large triangle into its smaller components:
| Component 1 |
Component 2 |
Component 3 |
Component 4 |
Component 5 |
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| |
 |
 |
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| 5 |
2 |
2 |
2 |
1 |
| Total of 12 triangles can be found within the given
triangle |
3. Make a table and start with the least possible number of people
and find a pattern.
| No. of people |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
| No. of handshakes |
0 |
1 |
3 |
6 |
10 |
15 |
21 |
28 |
| Pattern |
0 |
+1 |
+2 |
+3 |
+4 |
+5 |
+6 |
+7 |
8 people were present at the party.
4. Method: Measure the thickness of say, 100 pages of the text
book. Then divide the result by 100 to obtain the thickness of one page.
5. Divide the pages of the book into groups of 1-, 2- and 3-digit
pages and count them separately in batches.
| Page Number |
No. of digits per page |
No. of pages |
No. of digits |
| 1 to 9 |
1 |
9 |
1x9=9 |
| 10 to 99 |
2 |
99 - 9 = 90 |
2x90=180 |
| |
|
Total = 99 |
Total = 189 |
No. of digits left excluding the 1- and 2-digit pages = 642 - 189
= 453
No. of pages with 3-digit numbers = 453 / 3 = 151
Total no. of 1-, 2- and 3-digit pages totalling 642 digits = 99 +
151 = 250
There were 250 pages in the book.
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