Indian Mathematicians knew how to quickly add up difficult-looking sums like (the answer is 25502500 by the way) Possibly related, how many squares can be fitted into the grid? There are: 5 x 5 ways to fit a 1 by 1 square 4 x 4 ways to fit a 2 by 2 square 3 x 3 ways to fit a 3 by 3 square 2 x 2 ways to fit a 4 by 4 square 1 x 1 way to fit a 5 by 5 square = 55 squares Indian mathematicians were the first to develop a proper decimal system Use 8 8s in an addition sum to make 1000 888 + 88 + 8 + 8 + 8 Indian mathematicians were the first to develop the concepts of zero and negative numbers Cut out and position the numbers so that every circle add up to zero -3 2 7 -4 -2 3 -6 1 4
Eg Eg can be written two ways as an Egyptian fraction: 7 Find three ways to write as an Egyptian fraction 60Įgyptians used symbols to represent numbers: Solve this problem, giving your answer in the Egyptian style! The Egyptians liked to keep things simple They only liked to use unit fractions - with one for the numerator. Hero worked out this formula for a triangle with sides a, b and c Area = where Find the area of a triangle with sides of 4, 13 and 15cmĮgyptians realised that the volume of a pyramid is a third of the volume of a cuboid with the same base and height Eg volume of cuboid = 2 x 2 x 3 = 12 so volume of pyramid = 4 Cut out the nets, fold and stick to make 3 pyramids. The Greeks knew of several rules for the area of a triangle. 2 x 3 x 5 = 30 30 + 1 = 31 is prime Without a calculator, evaluate the prime given by this method, using the first 8 primes = 9699691 Eg using the first 3 primes 2,3 and 5 Take the first n primes, multiply them together and add one to obtain a new prime. He also wrote about primes and proved that there an infinite number of them. Plato is best known for his identification of 5 regular solids now known as the Platonic Solids, made from one regular shape each: Tetrahedron Octahedron Cube Dodecahedron Icosahedron Use the straws and play doh to make an icosahedron (hint – it has 20 sides)Įuclid is known as the ‘father of geometry’ and laid down the rules of geometry still used today. Get into teams of 4 The Crystal Maze is split into four zones based on four ancient cultures that made important Mathematical discoveries Each zone has three puzzles: A physical puzzle that requires you to make something A skill puzzle that uses some of the number skills you have learnt A mystery puzzle - something slightly different to the usual! For each puzzle: 3 crystals are awarded to the team that finishes first 2 crystals are awarded to the team that finishes second 1 crystal is awarded to the team that finishes third Each crystal counts as a 5 second head-start on a final puzzle to be revealed after the rest.
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