Christmas Eve E V E

A Mathematics Lesson Starter of The Day

Christmas Bells Christmas Bells Christmas Bells

The word "Eve" is a palindrome, it reads the same forwards as backwards.

Here is the beginning of the sequence of palindromic numbers:

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44

How many palindromic numbers are less than 100?

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How many palindromic numbers are less than 1000?

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How many palindromic numbers are less than 10000?

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Is there a pattern?

Topics: Starter | Mixed | Number | Xmas

You can find many more ChristMaths activities at:


  • Transum,
  • Palindrome noun. a word, number or sentence reading the same backward as forward: Eg; 'Rotator', 'Madam, I'm Adam' or 'Poor Dan is in a droop'. From the Greek palindromos meaning 'running back again'.
  • Tony, Cumbernauld
  • None of the answers you had were correct! 18 is not a palindrome as it reads as 81 backwards, and the same goes for the other numbers. 101, 242, 555 are examples of palindorome numbers.

    [Transum: Thanks for the comment Tony but I think you have a slight misunderstanding. The answers provided below are the number of palindromic numbers in the range... not the numbers themselves.]
  • Emma,
  • Those are the answers to the there are 9 numbers less than 10, 18 less than 100 etc.
  • Charlie, Guernsey
  • For 10 its 9 and 18 for 100, 27 for 1000 and 36 for 10000 so it goes up in 9s.
  • Mr, Smith
  • Actually for less than 1000 there are 108 answers, 101,111,121,131,141,151,161,171,181,191, this pattern occurs eight more times for the 200's, 300's... etc. Add the 18 for less than 100 and you will have 9 x (9 + 1) + 18 = 108
    For under 10000 there are 279 ways 9 x (18 + 1) + 108
    The pattern is 9, 18, 108, 279
    for less than 100 000 it would be "9 x (108 + 1) + 279"
    I know explanations are missing but I'll leave you with some of the work.
  • Maths Assassin, Mrs Hope's Class
  • NEVER ODD OR EVEN is the same backwards.

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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a fun Christmas Eve activity.

Student Activity

Here is the URL which will take them to more activities involving palindromic numbers.

Student Activity


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