Each of the digits in the number ninety four is a square number. Let's call all numbers like that squigits!

1. Can you find a squigit which is divisible by 7 and larger than 50?

2. Which two squigits have a difference of 100?

3. Find a squigit whose square root is also a squigit.

4. Find a squigit that's also a prime number.

5. How many years last
century were squigits?

A Mathematics Lesson Starter Of The Day


Topics: Starter | Number

  • S.Singh, Maltby Comprehensive, Rotherham
  • Surely 0 is a square number so your answer for the years should also include 1900, 1901, 1904, 1909, 1910, 1940, 1990 making 16 in total.
  • Steve Eastop, Margate, Kent.
  • Although you can not form a square in reality from 0 items, (or a square of 0 by 0 items) nor can you form one from negative integers neither. For example, you can not draw a picture of a square containing say -9 points by -9 points (columns x widths). It is accepted, however, in Number Theory that the product of any two negative quantities always result in a POSITIVE AMOUNT! Therefore, one can 'square' a negative quantity (that doesn't exist in reality into a positive result that does)!
    The first respondent was correct in that 0 SHOULD be included within the results/ solutions to these questions! The reason being that a SQUARE NUMBER is defined as: "A number that is the square of an integer: 1, 4, 9, 16, etc." Furthermore, an INTEGER is defined as: "The positive and negative whole numbers: 0, + or - 1, + or - 2, + or- 3,...." Hence 0 IS an integer and thus it CAN be squared as in the context of first definition of a square number given!
    These defintions occur in the The Penguin book entitled: 'THE PENGUIN DICTIONARY OF MATHEMATICS' by John Daintith & R.D. Nelson! (Pages 175 and 306 respectively).

    [Transum: Thanks for all of your comments. The answers below have now been altered to include zero as a square number.]
  • Year 5, Primet Primary School
  • The children at Primet Primary school would like to know if 0 is a square number. We have been having discussions and they believe if you have nought and multiply it by nought then you cannot make a square.
    The children really enjoyed this challenge and found many different answers for each problem.

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 3.0 out of 5 based on 364 votes.

Previous Day | This starter is for 29 June | 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.


Texas Instruments Nspire Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

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.

Click the images above to see all the details of these items and to buy them online.

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 student activity about square numbers.


Student Activity


©1997-2020 WWW.TRANSUM.ORG