PROBLEMS

Clicking on the links will take you to the problem page in a new window, with downloads, links to solution 'think throughs', and other suggested avenues of exploration.  Clicking on the thumbnails will open up a high definition image file of the problem.  For all problems, click here.

The 12 Days of Christmas
#Sequences #GeneratingSequences #Generalising
#TriangularNumbers #WordProblem #Series

Countdown
#MentalArithmetic #OrderOfOperations 
#AlgorithmicThinking #ComputationalThinking

It's π o'clock
#Fractions #Time #Angle #Turn #Conversions 
#Pi #π #PiDay #πDay

πThe Greatest π-day Birthday in History
#Time #TimeConversion #Conversions 
#Pi #π #PiDay #πDay

Crescent Area
#Area #Circle #Arc #Sector #Segment 
#Trigonometry #CosineRule
The Sophie Germain Identity
#AlgebraicManipulation #ExpandingBrackets #Proof
The Most Fantastic Magic Square Ever Discovered
#MagicSquares #AlphmagicSquares #LeeSallows
The Repeating Number
#FundamentalTheoremOfArithmetic #PrimeFactors #MathsMagic
Planar Network
#Factors #PlanarGraphs #Topology

Vampire Numbers
#NumberProperties #Factors #VampireNumbers
Cake
#Combinations #Combinatronics #Rotation

Smarties in a Box
#Volume #Spheres #OblateSpheroids #Substitution 
#xyz #Generalisation #Smarties

Five Sets
#PropertiesOfNumber #Sequences #Venn #Sets #SetNotation

Sheep
#Factors  #Area #Ratio #PrimeFactors #Combinations 
#Symmetry #MathsWithSheep
Subfactorial
#Permutations #Factorial #Subfactorial #Derangements
Lego
#Probability #Combinations #Permutations #nCr #nPr 
#Binomial #Venn #SimpsonsMaths #LegoMaths
Play Your Cards Right
#Probability #ConditionalProbability #BruceForsyth
Tiles
#Symmetry #Reflection #Rotation
Balloons
#Generalisation #MathsWithBalloons
The Logical Demonstrator
#Logic #Fractions #Sets #SetNotation #Venn #Probability, 
#CharlesStanhope #LogicalDemonstrator #MathsHistory
Squares in Squares
#Fractions #MultiplyingFractions #Ratio #Area #MathsAndArt
Fractions of Areas
#Fractions #CancellingFractions #MultiplyingFractions #Area #CompundArea


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