Magic Squares 5

Fill the given magic square with numbers from 11 to 45. all rows, columns and diagonals should add to the same number. Some numbers are given to help you.

Problem 150: Magic Squares 3

Place the numbers 1 to 25 in the above squares so that each row, column, and diagonal have the same sum. Some numbers are placed to help you.

Problem 149: Magic Squares 2

Place the numbers 1 to 16 in the above squares so that each row, column, and diagonal have the same sum.

Problem 148: Magic Squares 1

Place the numbers 1 to 9 in the above squares so that each row, column, and diagonal have the same sum.

Rich Tasks 51: 'What is your magic number?' (Birthday Magic Square)

With any given top row, we can complete a fourth-order magic square. 

Part 1

Here is a magic square made by the birthday of the famous mathematician Ramanujan. (22 December 1887)

In this magic square rows, columns and diagonals add up to 139. 

However, there are so many other patterns in this magic square. How many can you find?

Part 2

What is your magic number? Can you complete a magic square with the date of your birthday in the top row?

Write your birthday on the top row following the instructions below:

(i) Place the special date in the first row

(ii) b+c = m+p [there are many different possible values]

(iii) a+p = g+j [there are many different possible values]

(iv) m+d = f+k [there are many different possible values]

(v) b+n = g+k

(vi) c+o = f+j

(vii) a+m = h+l [there are many different possible values]

(viii) All rows, columns and diagonals must add up to the same total

Sources
- https://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-public/ramanujans_honour_magic_square.pdf
- https://nrich.maths.org/1380
- https://en.wikipedia.org/wiki/File:Magic_Square_Ramanujan.svg

Rich Tasks 13: Sagrada Familia "Magic" Square

The Temple Expiatori de la Sagrada Familia is a Roman Catholic Church which is under construction since 1882. 

In front of the unfinished building, there appears a "magic" square as shown. 

Designed by the sculptor Subirach, any sequential four numbers (same row, column, diagonal or other ways) on the magic square add up to 33, in 33 different ways. 

Actually, this is German mathematician Durer's famous 34 square changed by the sculptor in order to reach Jesus' age when he died. Normally there should be numbers from 1 to 16 without repetition. 

Can you show all the patterns giving 33 on the given magic squares below? First two are given as the example. 

Resources:

1.@robeastaway

2.http://www.taliscope.com/Sagrada_en.html