Arrange the numbers on the squares so that each of the three digit numbers formed horizontally are square numbers and each of the three digit numbers formed vertically are even.

Congratulations!
How many different ways can this puzzle be solved using these digits?

Press the Clear button and try again.

The numbers in the circles can be moved by dragging them using a mouse or your finger (if you have a touch screen or interactive whiteboard).

1

2

5

6

8

4

4

4

4

## A Mathematics Lesson Starter Of The Day

Share

Topics: Starter | Number | Problem Solving

• K. Rybarczyk, Knightswood Secondary
•
• With younger pupils, it is a good idea to begin with a reminder about square numbers. Also some practice with squares and square roots on a calculator.
Next, give a simplified 4 digit version of the same problem. The digits 1, 4, 6, 8 work well.
Now give the 9 digit version as in this starter.

[Transum: Excellent idea KR. Here is the simplified version that you suggested.]
• Ole And Daisy, Beckley School
•
• We love this website and we love this starter. It was very challenging and fun.
• Michael Guthrie, Drumkeen, Co Donegal
•
• There is another way of doing this
144 12 squared
256 16 squared
484 22 squared.
• KentuckyJohn, Ramen School
•
• Very good game.
• Transum,
•
• One way to solve this problem using technology is to use a spreadsheet or a graphic display calculator to generate a list of all 22 three digit square numbers. Manually eliminate those that contain a 0, 3, 7 or 9 as those digits arenâ€™t available. Only one of the 8 square numbers left is comprised of only even digits so this number must go in the bottom row of the grid. Eliminate square numbers from the list that can not be made using the remaining six digits. It is now quite easy to find all of the possibilities. Teachers, tutors and parents can see all of the possible answers below.

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.

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
Satisfactory
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 577 votes.

Previous Day | This starter is for 10 February | Next Day

Here are all of the possible answers:

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.

## Numbers and the Making of Us

I initially heard this book described on the Grammar Girl podcast and immediately went to find out more about it. I now have it on my Christmas present wish list and am looking forward to receiving a copy (hint!).

"Caleb Everett provides a fascinating account of the development of human numeracy, from innate abilities to the complexities of agricultural and trading societies, all viewed against the general background of human cultural evolution. He successfully draws together insights from linguistics, cognitive psychology, anthropology, and archaeology in a way that is accessible to the general reader as well as to specialists." more...

 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).

Transum.org/go/?Start=February10

Here is the URL which will take them to a game involving square numbers.

Transum.org/go/?to=dumpdice

Too difficult? Try the simplified version (two digit numbers).

For Students:

For All: