Online Mathematics

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33-D Geometry, 3D Shapes

AAlgebra, Algebra and Functions, Algorithms, Algorithms on graphs, Applications, Applications of the integrals, Area, Areas, Areas Related to Circles, Arithmetic, Arithmetic Progressions, Algebraic Expressions, Applying Congruence and Similarity, Approximate Solutions Using Graph

BBinomial Theorem, The Binomial Distribution, The Normal Distribution, Probability

CCalculus, Centres of Mass, Circles, Collecting data, Collisions, Combinations of random variables, Complex Numbers, Complex Numbers and Quadratic Equations, Compound measures, Construction, Constructions, Continuous Distributions, Continuous Random Variables, Coordinate geometry, Coordinates, Correlation and Regression, Critical path analysis, Summary

DDecimals, Determinants, Differential equations, Differentiation, Dimensions, Direct and indirect proportion, Discrete Random Variables, Displaying data, Drawing, Dynamics, Statics, Calculus

EEnlargement, Equivalence classes, Estimation, Exam preparation, Exponentials and logs, Differentiation, Dynamics

F1st Order Differential Equations, Financial mathematics, Flows in a network, Fourier series, Fractions, Functions, Functions and expressions, Further Dynamics, Summary

GGeometry, Goodness of fit, Graphic calculators, Graphics calculator, Graphs, Groups, Summary

HHyperbolic Functions, Hypothesis Tests, Hypothesis Testing

IImpulse and momentum in 2D, Indices, Inequalities, Integer Arithmetic, Integration, Introduction to 3-Dimesional Geometry, Inverse Laplace transforms, Inverse Trigonometric Functions, Irrational Functions, Inequalities in One Variable

KKinematics, Summary

LLaplace transforms, Limits and continuity, Limits and Derivatives, Linear Equations in 2 Variables, Linear programming, Linear-Programming, Summary

MMaclaurin and Taylor Series, Matchings, Mathematical modelling, Matrices, Matrix algebra, Measures, Mensuration, Moments, Motion in a circle, Multivariable calculus, Summary

NNotation, Number, Number and algebra, Numerical Methods, The Normal Distribution

OOscillations, Summary

PPaper 1, Paper 2, Percentages, Perimeter area volume, Permutation and Combinations, Piecewise functions, Polar Coordinates, Polynomials, Powers and roots, Probability, Proof, Properties of shapes, The Poisson Distribution, Statistics

QQuadratic equations, Quadratic functions

RRoute inspection, Summary

S2nd Order Differential Equations, Sampling, Scales and ratios, Sequence and Series, Sequences, Sequences and series, Sets, Shape and space, Simple equations, Simulation, Simultaneous equations, Statics, Statistical models, Statistics, Summarising data, Surds, Surface Area and Volume, Surface Areas and Volumes, Symbolic Logic, Symbols, Systems of D.E.s, Systems of Rigid Bodies, Straight Line Graphs, Sketching Graphs of Functions, Solving Quadratics by Factorising, Simultaneous Linear Equations, Special Sequences

TTransformations, Travelling salesman problem, Triangles, Trigonometry

UUpper and lower bounds, Using a calculator

VVectors

WWork and Energy

MAPSelect Using the Interactive Map

Awarding Bodies

Page ID: 13073

A | Arithmetic | Negative numbers | «Magic square O-test 3»

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

Student scores

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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:

Syllabus	Module	Section	Topic	Exam Year
AQA GCSE (9-1) Foundation (UK)	N: Structure and Calculation	N1: Ordering, Equality and Inequality	Negative Numbers	-
CIE IGCSE (9-1) Maths (0626 UK)	1 Number	B1.1 Understanding Numbers	Negative Numbers	-
Edexcel GCSE (9-1) Foundation (UK)	N: Structure and Calculation	N1: Ordering, Equality and Inequality	Negative Numbers	-
GCSE Foundation (UK)	Number	Arithmetic	Negative numbers	-
OCR GCSE (9-1) Foundation (UK)	1: Number Operations and Integers	1.01a: Four Rules	Negative Numbers	-
Universal (all site questions)	A	Arithmetic	Negative numbers	-