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Mathematicians Quiz Pythagoras 1. What country was Pythagoras from? 2. What formula is Pythagoras most famous for? 3. Find the hypotenuse in the following triangle 7cm 24cm 4. Find the missing side in this triangle 12m 15m 5. Name a Pythagorean triple where all numbers are below 20. Fibonacci 1. What country was Fibonacci from? 2. Name the next 2 numbers in the Fibonnaci Sequence 1, 1, 2, 3,.... 3. Fill in the missing numbers in the Fibonnaci Sequence _, 3, _, 7, _ 4. Name the ratio associated with Fibonacci 5. What is this ratio? Pascal 1. What country was Pascal from? 2. What number begins and ends each line of Pascal’s Triangle? 3. Write the first 5 lines of Pascal’s Triangle. 4. Name 2 patterns of numbers in Pascal’s Triangle. Archimedes 1. What country was Archimedes from? 2. What did Archimedes famously shout when he made his most famous discovery? 3. What is Archimedes Principle? 4. Why do bricks sink but boats float? 5. How much water would this shape displace? 1 cm 1 cm 4 cm 6 cm 8 cm 5 cm Answers Pythagoras 1. Greece 2. a2 + b2 = c2 3. 25cm 4. 9m 5. 3,4,5 or 6,8,10 or 5,12,13 2. 5, 8 3. 1, 4, 11 4. Golden 5. 1.618 ish Fibonacci 1. Italy Pascal 1. French 2. 1 3. 1 1 1 1 1 1 2 3 4 1 3 6 1 4 1 4. Natural numbers, triangle numbers, Fibonacci numbers, powers of 2 Archimedes 1. Greek 2. Eureka 3. Volume of the water displaced is equal to the volume of the object. 4. Volume of brick is smaller than volume of boat or density mentioned. 5. 120cm3