Christmas Eve

A Maths 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?

Christmas Bells Christmas Bells Christmas Bells

How many palindromic numbers are less than 1000?

Christmas Bells Christmas Bells Christmas Bells

How many palindromic numbers are less than 10000?

Christmas Bells Christmas Bells Christmas Bells

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.
  • 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.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.1 out of 5 based on 148 votes.

Previous Day | This starter is for 24 December | Next Day




Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.


Apple iPad Pro

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

The redesigned Retina display is as stunning to look at as it is to touch. It all comes with iOS, the world's most advanced mobile operating system. iPad Pro. Everything you want modern computing to be. more...

Before giving an iPad as a Christmas gift you could add a link to iPad Maths to the home screen.

Math with Bad Drawings

I had been tutoring the wonderful Betsy for five years. When the day came for our last ever session together before the end of her Year 13, I received this beautiful book as a gift of appreciation.

This a very readable book by Ben Orlin. I'm really enjoying the humour in the writing and the drawings are great.

Ben Orlin answers maths' three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that mathematics should belong to everyone.

A Compendium Of 	Mathematical Methods

A Compendium Of Mathematical Methods

How many different methods do you know to solve simultaneous equations? To multiply decimals? To find the nth term of a sequence?

A Compendium of Mathematical Methods brings together over one hundred different approaches from classrooms all over the world, giving curious mathematicians the opportunity to explore fascinating methods that they've never before encountered.

If you teach mathematics to any age group in any country, you are guaranteed to learn lots of new things from this delightful book. It will deepen your subject knowledge and enhance your teaching, whatever your existing level of expertise. It will inspire you to explore new approaches with your pupils and provide valuable guidance on explanations and misconceptions. more...

Online Maths Shop

Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

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

Student Activity


©1997-2020 WWW.TRANSUM.ORG