HighFour History of Mathematics Category C: Grades 9 – 10 Round 2 Thursday, October 15, 2015 The use of calculator is not required. Question #1 This Indian mathematician invented zero as a number, not just as a symbol. He is one of the earliest to assign the start of each day to midnight. The first Indian satellite was named in his honor. Who is he? Question #2 He is traditionally considered as the ‘father of algebra’. He was the first to use symbols for unknown numbers. He is known to have written the book Arithmetica. Who is this famous Hellenistic mathematician? Question #3 “If the sum of n quantities be given, and also the sum of every pair containing a particular quantity, then this particular quantity is equal to of the difference between the sums of these pairs and the first given sum.” This famous rule is also known as “bloom of ___________” or as the “flower of ___________” The rule is named after the person who created it. Who is he? Question #4 What is the name of this number triangle? It is named after a famous French mathematician and philosopher. Each entry is the sum of the two entries above it (except for the 1’s at the end of each row). HighFour History of Mathematics Category C: Grades 9 – 10 Round 2 Thursday, October 15, 2015 The use of calculator is not required. Question #5 Who is the famous mathematician that started using ‘x’ to represent unknown quantities? An ‘italicized’ (x) is often used to avoid potential confusion with the multiplication symbol. Question #6 This person invented the first mechanical computer. He originated the concept of programmable computer. He is considered as the ‘father of computer’. Who is this English mathematician, philosopher, inventor and mechanical engineer? Question #7 This famous Italian poet had also contributed to the theory of probability by making the following comments, through his observation of a die game. “With 3 dice, the lowest number you can get is 3, an ace for every die. Achieving a 4 can be done with 3 die by having two on one die and aces on the other two dice.” Who is this famous poet? Question #8 “Set theory is a the branch of mathematics which deals with the formal properties of sets as units (without regard to the nature of their individual constituents) and the expression of other branches of mathematics in terms of sets.” Which famous mathematician founded the set theory? Question #9 A geometric series is a series with a constant ratio between successive terms like ½, ¼, ⅛, etc. Who was the first mathematician to calculate and use the sum of geometric series? Question #10 His book “Statistical methods for Research workers” published in 1925 influenced the practical use of statistics in many fields of study. He was described as “a genius who almost single handedly created the foundation of modern statistical science.” Who is this genius? HighFour History of Mathematics Category C: Grades 9 – 10 Round 2 Thursday, October 15, 2015 The use of calculator is not required. Question #11 In any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle. This triangle is named after the mathematician who made this discovery. What is the name of the triangle? Question #12 These diagrams play a major role in the fields of set theory, probability, logic, statistics and computer science. They are named after the person who introduced them. An example of such a diagram is shown. What are they called? Question #13 What is the full name of the English logician and philosopher who introduced the diagrams mentioned in Question #12? Question #14 She was the first African-American woman to gain a PhD in mathematics. This lady was an American mathematician and educator. What is name of this famous mathematician? Question #15 He is famous for his principle, which is named after him, the __________ effect. It is the change in frequency of a wave (or other periodic event) for an observer moving relative to its source. What is the name of this famous Austrian mathematician and physicist? HighFour History of Mathematics Category C: Grades 9 – 10 Round 2 Thursday, October 15, 2015 The use of calculator is not required. Question #16 This famous Greek construction was believed to follow the proportion of the golden rectangle. What is its name? Question #17 The surface area of a sphere is and volume of a sphere is . This Ancient Greek mathematician was believed to be the first to calculate the surface area and volume of a sphere? Question #18 The binomial theorem states the following: ( ) ( ) ( ) ( ) Who discovered this binomial theorem? This theorem led him to the development of calculus. Question #19 He is one of the key figures in scientific revolution. He is credited as the father of analytical geometry, the bridge between algebra and geometry. Who is this French philosopher, mathematician and scientist? Question #20 According to this ancient Greek mathematician geometry, the sum of the angles of a triangle is two right angles. He is regarded as the ‘father of geometry’. His book, Elements is one of the most influential books in the history of mathematics. Who is this greatest mathematician?