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Problem
Solving Strategy |
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Solution |  |
1. Find the next 3 numbers in the following sequence.
2, 5, 11, 23, ____, _____, ______.
Pattern : x 2 + 1
47, 95, 191
2. If this pattern was formed to make a cube, what numbers would appear where the question marks are?
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3. The number of line segments joining a set of points increases as the number of points increases. Find how many line segments there will be when there are 8 points; 10 points.
| Points | 2 | 3 | 4 | 5 | ...... | 8 | 9 | 10 | n | ||||||||||||||
| Lines | 1 | 3 | 6 | 10 | ...... | 28 | 36 | 45 | n(n-1)�2 | ||||||||||||||
| +2 | +3 | +4 | +5 | ...... | +7 | +8 | +9 | ||||||||||||||||
4. For the hexagon with 42 dots, how many dots are there on each side?
| No. of dots | 6 | 12 | 18 | ...... | 42 | n |
| Dots per side | 2 | 3 | 4 | ...... | 8 | (n�6)+1 |
5. Look for a common element in each of the following.
This is a RUMDA. |
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This is a not RUMDA. |
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This is a RUMDA. |
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Is this a RUMDA (A)? Yes |
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This is a RUMDA. |
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Is this a RUMDA (B)? No |
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6. If the figure on the left is continued, how many letters will be in the J row?
Which row will contain 27 letters?
A
BBB
CCCCC
DDDDDD
| Letter | A | B | C | D | E | ...... | J | K | L | M | N | General |
| Numeral Order | 1 | 2 | 3 | 4 | 5 | ...... | 10 | 11 | 12 | 13 | 14 | n |
| Total No. | 1 | 3 | 5 | 7 | 9 | ...... | 19 | 21 | 23 | 25 | 27 | 2n-1 |
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