If
you divide my number by 2,3,4,5 or 6, you will find there is always
a remainder of 1. But if you divide it by 11, there is no remainder.
My number is less than 200. What's my number?

Remarkable
Numbers

Seven
hundred twenty (720) is a remarkable number. It can be divided evenly
by many numbers (1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24,
30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720).
There are 30 different numbers in all. Can you find an even more remarkable
number, less than 1,000?

Oranges

A
grocer bought 15 dozen oranges at $0.99 a dozen. He found 15 bad
oranges in the box. He sold the rest of the oranges in sacks of
three.

What
is the least amount that three oranges can sell for in order for
the grocer to break even?

How
much must three oranges sell for in order for the grocer to make
an $11.00 profit?

Decimal
Magic Squares

Insert
the following decimals into a 3 by 3 grid like the one below to
get a sum of 3 along the horizontal, vertical and diagonal axis:

0.2,
0.4, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8

What
pattern do you notice?

Traveling

Three
travelers are leaving Houston for Austin on the same day. One is
traveling by car, one by train, and one by air. The round trip by
car takes 300 minutes. The round trip by train takes 360 minutes.
The round trip by air takes 70 minutes. How much time will elapse
before all three passengers will leave Houston again at the same
time?

Assume
continuous round-trip activities for all three travelers.

Game
of Chance

In
a game of chance Susan doubled her money and then spent $5.00. In
a second game of chance she tripled her money and then spent $15.00.

If
she had $12.00 left how much money did Susan start with?

Missing
Numbers

What
are the missing numbers in this arrangement?

1

2

3

4

5

1

3

9

21

41

1

?

?

?

?

1

?

?

?

244769

Fraction
Magic Squares

Insert
the following fractions into the 3 by 3 grid to yield a sum of 3
3/4 along the horizontal, vertical, and diagonal axis:

1/4,
1/2, 3/4, 1, 1 1/4, 1 1/2, 1 3/4, 2, 2 1/4

What
pattern do you notice?

Mathematical
Boast?

Back
in the year 1849, people born in 1806 were able to make an unusual
mathematical boast. This unusual boast could also have been made by
people in 1936 by people born in 1892. In 2025, this ususal mathematical
boast can be made by individuals who were born in 1980. Given that
a person was born in the 21st century, in what year will that person
be able to make this unusual mathematical boast?

Account
Balance

Marcus,
Oscar, Jose, Charles, and Joel are making remarks about their own
and each others bank account balances.

Marcus

Joel
has $729

Oscar

I
have $1024

Jose

Oscar
has $613

Charles

Marcus
has $571

Joel

Oscar
has more than Marcus
Charles has $30 less than Jose

Remarks
made by anyone whose balance is $500 or over are true, unless his
account balance is perfect square. Remarks made by anyone whose
balance is under $500 are flase, unless hiss account balance is
a perfect cube. Find all their account balances.

Cross
Number Puzzle

ACROSS

DOWN

1. Square of 11
down

1. A perfect cube

6. Sum of digits
is 10

2. An odd number

7. A prime number

3. A prime number

8.Odd, but not prime

4. Its square equal
its cube

9. This number is
larger when reversed; the sum its digits is 7

5. The cube of a
prime number

10. Square of product
of two primes

7. When reversed
this is the square of a prime number

12. A perfect cube

9. A perfect cube

11. A prime number

1

2

3

4

5

6

7

8

9

10

11

12

Apples

John
has a crate of 256 apples. he sold 25% of them to Marci. Next he sold
25% of those remaining to George. Next he sold 25% of those to George.
Next he sold 25% of those to Carla. Then he sold 25% of those remaining
to Joy. Since 25% + 25% + 25% + 25% = 100%, does this mean that john
sold all of his apples?