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Pumpkin patch
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Seega
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Alquerque
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Introducing NRICH TWILGO
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Air nets
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Ding dong bell
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The bridges of Konigsberg
Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.
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Yih or Luk tsut k'i or Three Men's Morris
Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots and a little about prime knots, crossing numbers and knot arithmetic.
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Triangles in the middle
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Instant insanity
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
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When the angles of a triangle don't add up to 180 degrees
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Vector walk
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Vector journeys
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Summing geometric progressions
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
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3D treasure hunt
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
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Back fitter
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
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Iff
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Kite in a square
Can you make sense of the three methods to work out what fraction of the total area is shaded?
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Tetra square
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Always perfect
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A rolling disc - periodic motion
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Classic cube
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Whose line graph is it anyway?
Which line graph, equations and physical processes go together?
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Mach attack
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Painting by numbers
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Set square
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Wrapping gifts
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Stonehenge
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Escriptions
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Middle man
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Trig reps
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Maximum scattering
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Maths shop window
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Circles ad infinitum
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Areas and ratios
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Five circuits, seven spins
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Hyperbolic thinking
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Curvy equation
This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.
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Cheese cutting
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Ford circles
Can you find the link between these beautiful circle patterns and Farey Sequences?
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