A prime number has two and only two factors.
Consecutive numbers are next to each other in the sequence of counting numbers
Thirty
days hath September,
April June and November.
All the rest have thirtyone
Excepting February alone,
Which has twentyeight days clear,
But twentynine each Leap Year.
The number 22222 is given in base 5. It means:
2 x 625 +
2 x 125 +
2 x 25 +
2 x 5 +
2 x 1
The day is a two digit prime number. The two digits are consecutive numbers.
The number of days in the month is a multiple of the number of letters in the month's name.
The year was a leap year which began on a Saturday.
It is 22222_{5} + 2.
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Previous Day  This starter is for 14 July  Next Day
Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to a general knowledge maths quiz.
July 14th is Transum's birthday!
It would be fun for everyone in the class to stand in a line in order of their birthdays. Does anyone have the same birthday as someone else?
Alice in Wonderland learns that in a class of 23 pupils the probability that two have the same birthday is more than a half. Alice is a fictional character created by author and mathemetician Lewis Carroll (18321898) but the probability fact is true.
Find more interesting facts like that on the Mathematics Trivia page.
Leap Year  The 29th February Starter about Johnny Leaper who was born on the extra day in a leap year.
Cheryl's Birthday  An advanced Starter about an Olympiad Maths question posted on Facebook.
Cake Cut  This puzzle comes out of a need to carefully and accurately cut the last piece of a birthday cake into two equal pieces.
And finally there is a birthday card for all of our loyal Transum subscribers.
The front of the card contains a mathematical joke about rounding up. There is a puzzle, Maths facts and some funny puns inside. All good fun for a person's special day.
The card is designed to be printed on A4 card (double sided) and can be downloaded here.