# Magic Square

## Arrange the given numbers in a three by three grid to make a magic square.

##### Level 1Level 2Level 3Level 4Level 5Level 6RandomUnmagic4 by 4More Puzzles

Drag the numbers into the green cells to make a magic square.
The totals of each row, column and diagonal should be the same.

Congratulations!
Claim your trophy by clicking on the red button below.
Are there any other ways to make a magic square using these numbers?

The totals of each row, column and diagonal should be the same. Try again.

45

4

35

18

28

38

21

52

11

This is Magic Square level 8. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology:

"This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative."

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

#### Hi-Low Predict

A version of the Play Your Cards Right TV programme. Calculate the probabilities of cards being higher or lower than the one shown. a fun way to practise applying probability and using fractions.

## Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

Transum,

Monday, December 2, 2013

"As an extension activity consider the following questions:
How many magic squares are there that contain the numbers 5, 8 and 12? (ignore rotations and reflections).
Is the centre number of a magic square always one third of the row and column totals?
Can you create a magic square using only prime numbers?"

Transum,

Friday, June 2, 2017

"In the year 1514 the German artist Albrecht Dürer created an engraving called Melencolia with a magic square in the background. The image below shows an enlargement of the magic square. The date appears in the bottom row of the magic square.

"

Ian Stewart, Cabinet Of Mathematical Curiosities

Friday, June 2, 2017

"Using consecutive whole numbers and counting rotations and reflections of a given square as being the same there are precisely:

1 magic square of size 3 × 3
880 magic squares of size 4× 4
275,305,224 5×5 magic squares of size 5 × 5.

For the 6×6 case, there are estimated to be approximately 1.77 × 1019 squares."

Transum,

Saturday, February 17, 2018

"One method of finding a solution to a puzzle in which the digits one to nine have to be arranged in a particular formation is by trying every different permutation. This strategy however is very time consuming. Even if it only took one second to arrange the numbers and check whether a solution has been found, you would need to allow over one hundred hours to complete the task!

Developing a strategy with some insight or consideration of the number patterns might be a better course of action. Good Luck! "

Student,

Tuesday, April 2, 2019

"There is a pattern that isn't time consuming. Place the 1st number in the center of the top row(can be done on the sides but easier if explained like this)(can only be done on oddxodd magic squares) and place next number on the box diagonally upwards to the right(could be left as well). If there is no box on top, place the number at the bottom of the next column. If there is no box to the right, then place it at the start of the next row. If the space is blocked by a number, then place it underneath the number you just wrote. When you reach the upper-right corner, place the next number directly below it and continue on. Repeat until all boxes are filled"

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