Calendar Problems

Hints:

• Use 0/00 format
• Pi = 3.14159265

Hints:

• One isn't a prime or composite.
• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
• 2, 3, 5, 7, & 11 are primes.
• 2/2, 2/3, 2/5 ...2/23 , & 2/29 if a leap year.
• 3/_, 5/_, 7/_, 11/_

Hints:

• A multiple is a number that can be divided by another number without a remainder.
• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
• There is only one in January (1/1).
• There are two in February (2/1, 2,2).
• Two in March.
• Three in April.
• Two in May. Four in June. Two in July. Four in August. Three in Spetmber, Four in October. Two in November. Six in December.
  

Hints:

• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
• January has two.
• February has two.
• March has one.
• April, May, June, July, & December have ...
• October & November have ...

Hints:

• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
• January has the most.
• February 2/2, 2/4, 2/6, ... 2/28
• March 3/3, 3/6, 3/9, ... 3/30
• April 4/4, 4/8, ... 4/28
• May
  

Hints:

• Triangular numbers make a pattern that form equilateral triangles. For example: each row of dots adds to the total number of dots in another equilateral triangle.
• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
• January has 7: 1/1, 1/3, 1/6, 1/10, 1/15, 1/21, 1/28
• March has seven: 3/1,
• June has seven
• October has seven
  
  

Hints:

• Square numbers are 1, 4, 9, 16, 25, 36 ...
• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
• January has five.
• April has five.
• September has five.
  
  

Hints:

• Dates can be written numerically with: two digits - 1/1, three digits - 1/11, four digits - 11/11, six digits - 11/11/11, & eight digits - 11/11/1111
• Palindromes are numbers that have the same value if read from left to right has right to left.
• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
• April, .. October have two.
• January has four: 1/1, 1/11, 1/21, 1/31
• Februaryhas three: 2/2, 2/12, 2/22
• March, April, May, June, July, August, September, have three
• November, December two
• Eight digit dates - 12 in a 21^st century

Hints:

• A perfect number is a positive integer whose sum 0f all its factors, except itself, add to the number. For example: six is a perfect number, because its factors 1, 2, and 3 add to itself, 6. Twenty- eight is also: 1, 2, 4, 7, 14 add to 28.
• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
• There are only two.

Hints:

• Reciprocal dates are two dates whose product as fractions is one. For example: 1/2 * 2/1 are reciprocal.
• Reciprocal dates inverted are: 1/1 & 1/1, 1/2 & 2/1, 21/1 & 1/21.
• 1/2 & 4/2 are reciprocal, but do not have the same numbers.
• Take one date at a time starting with January 1 (1/1) and check each until you find a pattern to identify answers and eliminate non answers.
  
  

Hints:

• Reciprocal dates are two dates whose product as fractions is one. For example: 1/2 and 2/1 are reciprocal; 1/2 is reciprocal with 2/1, 4/2, 6/3, 8/4, 10/5, 12/6
• Take one date at a time and check each until you find a pattern to identify answers and eliminate non answers.
• These dates 3/1 (9), 3/2 (6), 3/3 (11 not counting 3/3), 3/4 (3), 3/5 (2), 3/6 (6), 3/7 (1), 3/8 (1), 3/9 (4), 3/10 (1), 3/11 (1), 3/12 (3), 3/15 (2), 3/18 (2), 3/21 (1), 3/24 (1), 3/27 (1), 3/30 (1).
  
  

Hints:

• Relative primes have no common factors other than 1. In other words there is no value that you could divide them both by exactly (without a remainder). Four and fifteen are relatively prime: The factors of 4 are 1, 2, 4 and The factors of 15 are 1, 3, and 5. Therefore, the only common factor is 1. relatively prime date, is 4/15.
• List of factors for 1 - 50.
  
  

Hints:

1. Square dates: month number is the square of the day.Example: 3/9
2. Cube dates: month number is the cube of the day.Example: 3/27
3. Square root dates: month number is the square root of the day.Example: 9/3
4. Cube root dates: month number is the cube root of the day.Example: 27/3
5. Primes have a factor of one and itself. One is neither a prime or composite.
6. Six place dates with consecutive digits: 10/11/12.
   
   

Hints:

• Use 0/00/00 format
• Pi = 3.14159265