This is used to determine the day of the week for any date after 14 September, 1752.

MAGIC NUMBERS FOR FINDING THE DAY OF THE WEEK

Note: 1800 and 1900 are not leap years.

Day of the Week

Sunday1

Monday2

Tuesday3

Wednesday4

Thursday5

Friday6

Saturday0

Regular YearMonth

January3

February6

March6

April2

May4

June0

July2

August5

September1

October3

November6

December1

Leap Year Month

has the following magic numbers:

January2

February5

March6

April2

May4

June0

July2

August5

September1

October3

November6

December1

Each Century

1700's2

1800's0

1900's5

2000's4

2100's2

A. Write down the century magic number: ______

B. Write down the year: ______

Cross off the first two digits: ______

Write this new number on the side: ______

C.Divide this new number by 4: ______

Cross off anything that comes after a decimal: ______

Write this new number in the blank:______

D. Write down the magic value for the month:______

E. Write down the day of the month: ______

F. Add up all the numbers in the column on the right:______

G. Divide F by 7 by hand.

What is the remainder: ______

What day of the week is this the Magic Number for?______

That’s the answer.

Example: Suppose we want to know what day of the week 26 December, 2006 is.

MAGIC NUMBERS FOR FINDING THE DAY OF THE WEEK

Note: 1800 and 1900 are not leap years.

Day of the Week

Sunday1

Monday2

Tuesday3

Wednesday4

Thursday5

Friday6

Saturday0

Regular YearMonth

January3

February6

March6

April2

May4

June0

July2

August5

September1

October3

November6

December1

Leap Year Month

has the following magic numbers:

January2

February5

March6

April2

May4

June0

July2

August5

September1

October3

November6

December1

Each Century

1700's2

1800's0

1900's5

2000's4

2100's2

A. Write down the century magic number: 4

B. Write down the year: 2006

Cross off the first two digits: 2006

Write this new number on the side: 06

C.Divide this new number by 4: 1.5

Cross off anything that comes after a decimal: 1.5

Write this new number in the blank: 1

D. Write down the magic value for the month: 1

E. Write down the day of the month: 26

F. Add up all the numbers in the column on the right: 38

G. Divide F by 7 by hand. 38 / 7 = 5 remainder 3

What is the remainder: 3

What day of the week is this the Magic Number for?Tuesday

That’s the answer.