Here is a collection of unusual problems and puzzles which are designed to help students develop their capacity to think through difficult mathematical problems in an enjoyable and challenging way. The problems are grouped into 29 sections, each developing a single theme, with each section followed by a commentary suggesting ideas and approaches that students can try. Advanced math is not required, and most sections are accessible to younger students. The emphasis is on intuitive and investigative approaches which can stimulate individual creativity and provide a focus for group discussion and learning.
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angle answer button circle Commentary on Question corners cube decimal deltahedra diagonals digit number Diophantus divide dot-lattice dots either inside dots inside edge equal equilateral triangle Euler's formula exactly once faces Fibonacci numbers five forever formula formula for prime guess happens Investigation largest number length little triangles look mathematical mathematical map measure multiple of 11 number of marks number of peaceful number of prime number of regions number you started numbers less octahedron odd numbers pairs of marks Pascal's triangle peaceful bishops perfect square piece of wood pint jug polyhedron prime factor prime numbers problems properly coloured pupils rectangle regular polygons regular polyhedra rooks round ruler semiregular polyhedron semiregular tiling slicing smallest number solution Suppose tell third number thousands column triangle ABC try to explain twin primes units digit vertex figures whole number word-sums Write