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A challenge

In this magic square the four numbers in each row, column and diagonal add up to the same total. This total is called the Magic total.

The example used here is based on a 4x4 magic square from India, which can be seen in Khajuraho in the Parshvanath Jain temple. It dates from the 10th century.

It is referred to as the Chautisa Yantra, since each row, column, diagonal, 2x2 sub-square, the corners of each 3x3 and 4x4 square, and the sum of the middle two entries of the two outer columns and rows all add to the Magic total.

Because there are so many patterns, you have to find 10 missing numbers!

Software/Applets used on this page

This page uses the UserInput applet specifically written for the site.

It is used on o-test pages, where you can repeat the test as often as you like and if you are logged in using a personal ID your score will be saved. You can view all your saved scores by clicking on your user name and following the links there. For more information on this see Help on assessment

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA GCSE (9-1) Foundation (UK)N: Structure and CalculationN1: Ordering, Equality and InequalityNegative Numbers-
CIE IGCSE (9-1) Maths (0626 UK)1 NumberB1.1 Understanding NumbersNegative Numbers-
Edexcel GCSE (9-1) Foundation (UK)N: Structure and CalculationN1: Ordering, Equality and InequalityNegative Numbers-
GCSE Foundation (UK)NumberArithmeticNegative numbers-
OCR GCSE (9-1) Foundation (UK)1: Number Operations and Integers1.01a: Four RulesNegative Numbers-
Universal (all site questions)AArithmeticNegative numbers-