Ciphering%20Practice

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Ciphering Practice

• August 20, 2007

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If , what are the
values of k, such that ?
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If you ask Batmans nemesis, Catwoman, how many
cats she has, she answers with a riddle
Five-sixths of my cats plus seven. How many
cats does Catwoman have?
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In right triangle ABC, with right angle ACB, AC8
inches and BC6 inches. Point X is on AC,
equidistant from A and B. Find CX
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When Billy turned 14 years old, his father was 42
years old, which was three times Billys age at
the time. Today is Billys birthday, and Billys
father is now twice as old as Billy. How old is
Billy?
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An ice-cream cone, which is 8cm in diameter, is
packed full of ice cream and a generous
hemisphere of ice cream is placed on top. If the
volume of the cone is the same as the volume of
the ice cream on top of the cone, find the height
of the cone.
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In a three-digit number, the hundreds digit is
greater than 5, the tens digit is greater than 4
but less than 8, and the units digit is the
smallest prime number. How many three digit
numbers satisfy all these conditions?
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Let a be the number of digits of 22001, and let b
be the number of digits of 52001. Compute
.
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How many full seven-day weeks are in seven
consecutive years? Assume that the first day of
the first year is the first day of the week?