Calendar Capers

Choose any three by three square of dates on a calendar page. Circle any number on the top row, put a line through the other numbers that are in the same row and column as your circled number. Repeat this for a number of your choice from the second row. You should now have just one number left on the bottom row, circle it. Find the total for the three numbers circled. Compare this total with the number in the centre of the square. What do you find? Can you explain why this happens?

Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

Reverse to Order

Take any two digit number, for example 58. What do you have to do to reverse the order of the digits? Can you find a rule for reversing the order of digits for any two digit number?

Calendars

Stage: 1, 2 and 3

Published February 2011.

Calendars were one of the earliest calculating devices developed by civilizations. There have been many different calendars, but most are based on the sun, moon, seasons and often involve religious ideas.

The Mayans made an incredibly accurate calendar. The Mayan pyramid (Mexico) was built in about 1050 as a huge calendar. It has 91 steps up each side and one platform at the top, making a total of 365 (one for each day of the year).

The Mayan calendar was adopted by the Aztecs, who kept the mathematics of the calendar the same, but changed the names of the months.

We take our modern 'western' calendar for granted, but it has passed through a rather dramatic history, including the famous affair between Julius Caesar and Cleopatra, ard bloody war fought over dates! But it is not the only calendar. There are still forty different calendars in use around the world.

Why are there 53 weeks in some years, not 52?

Which day is the first day of the week, Sunday or Monday?

Where did the names for the days come from?

Why is a year 365 days?

The year 2000 was the Chinese Year of the Dragon. How does the Chinese calendar work?

If you're interested in finding out the answers to any of these questions, perhaps you should visit http://webexhibits.com/calendars , which is packed with lots more information about the history of calendars.