(01/07/97)
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MathMagic Cycle 23: Level 10-12 Regular
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Patterns
1) Without the aid of algebra, try to find a two digit number that is
twice the sum of its digits.
2) A sequence of figures is built as follows:
x
x xxx
x xxx xxxxx etc...
Fig.1 Fig.2 Fig.3
How many "x" are there in figure 100?
3) For this pattern:
1 + 2 = 3
4 + 5 + 6 = 7 + 8
9+ 10 + 11 + 12 = 13 + 14 + 15 ...
What is the last number in the 80th row going to be?
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MathMagic Cycle 23: Level 10-12 Advanced
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1) If the natural numbers are arranged in a triangular grid (see below),
what is the third number in the 50th row?
1
2 3 4
5 6 7 8 9 ...
2) What is the last digit of this exponent?
1992
3
3) What is the last digit of the product of these exponents?
1988 1988 1988
2 X 3 X 7
Remember MathMagicians: share your thoughts with us.
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Good luck
MrH