HighFour History of Mathematics Category A: Grades 4 – 5 Round 4 Monday, December 7, 2015 The use of calculator is not required. Answer #1: Explanation: protractor A protractor is a measuring instrument, typically made of transparent plastic or glass, for measuring angles. Most protractors measure angles in degrees (°). Radian-scale protractors measure angles in radians. Most protractors are divided into 180 equal parts. Answer #2 Explanation: 100 A googol is 10 to the 100th power (which is 1 followed by 100 zeros). A googol is larger than the number of elementary particles in the universe, which amount to only 10 to the 80th power. Answer #3 Explanation: quadrilateral Quadrilateral means "four sides" (quad means four, lateral means side). Answer #4 Explanation: abacus The abacus, also called a counting frame, is a calculating tool that was in use centuries before the adoption of the written modern numeral system and is still widely used by merchants, traders and clerks in Asia, Africa, and elsewhere. Today, abaci are often constructed as a bamboo frame with beads sliding on wires, but originally they were beans or stones moved in grooves in sand or on tablets of wood, stone, or metal. Answer #5 Explanation: Euclid Euclid was a Greek mathematician, often referred to as the "Father of Geometry". His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. HighFour History of Mathematics Category A: Grades 4 – 5 Round 4 Monday, December 7, 2015 The use of calculator is not required. Answer #6 Explanation: Euler Euler was the most eminent mathematician of the 18th century and is held to be one of the greatest mathematicians in history. He is also widely considered to be the most prolific mathematician of all times. Answer #7 Explanation: Lewis Carroll Lewis Carroll was the pen name of Charles L. Dodgson, author of the children's classics "Alice's Adventures in Wonderland" and "Through the Looking-Glass." Answer #8 Explanation: Archimedes Legend has it that Archimedes was killed by invading soldiers after he refused to get up from the math problem he was working on. Answer #9 Explanation: Hypatia The mob, which according to some stories was led by monks, assaulted her in the street. Her death is symbolic for some historians. For example, Kathleen Wider proposes that the murder of Hypatia marked the end of Classical antiquity, and Stephen Greenblatt observes that her murder "effectively marked the downfall of Alexandrian intellectual life". Answer #10 Explanation: Descartes Cogito ergo sum is a Latin philosophical proposition by René Descartes usually translated into English as "I think, therefore I am". The phrase originally appeared in French as je pense, donc je suis in his Discourse on the Method, so as to reach a wider audience than Latin would have allowed. HighFour History of Mathematics Category A: Grades 4 – 5 Round 4 Monday, December 7, 2015 The use of calculator is not required. Answer #11 Explanation: Fibonacci Fibonacci was born in Pisa around 1170. He gained his nickname "Fibonacci" due to his father's nickname (Bonaccio - "good natured"). Fibonacci is derived from filius Bonacci, which literally means "son of Bonaccio"). He was also known by the nickname "Bigollo", which may be taken to mean loafer, and may have expressed the general lack of interest in the purely theoretical mathematics. Answer #12 Explanation: Archimedes Archimedes drew a very large circle. Archimedes drew regular polygons (straight-sided figures with sides of equal length) around the circle, and inside the circle. He started with 12-sided figures, then 24-sided, 48-sided and finally 96-sided. The small arc lengths approximated to straight lines, so the value of pi could be related to the radius. The numbers may seem an odd choice, but exactly six chords of length equal to the radius fit exactly inside a circle. Continually halving the length leads to the numbers he chose. Answer #13 Explanation: 6 In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself (also known as its aliquot sum). Answer #14 Explanation: The sieve of Eratosthenes In mathematics, the sieve of Eratosthenes, one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit. Answer #15 Explanation: Ursa Minor, aka Little Bear, aka Little Dipper The constellation Ursa Minor contains the group of stars commonly called the Little Dipper. The handle of the Dipper is the Little Bear's tail and the Dipper's cup is the Bear's flank. The Little Dipper is not a constellation itself, but an asterism, which is a distinctive group of stars. Another famous asterism is the Big Dipper in the constellation Ursa Major. HighFour History of Mathematics Category A: Grades 4 – 5 Round 4 Monday, December 7, 2015 The use of calculator is not required. Answer #16 Explanation: rhombus In Euclidean geometry, a rhombus, plural rhombi or rhombuses, is a simple (non-self-intersecting) quadrilateral all of whose four sides have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. Answer #17 Explanation: Degree Symbol (°) The degree symbol (°) is a typographical symbol that is used, among other things, to represent degrees of arc (e.g. in geographic coordinate systems), hours (in the medical field), degrees of temperature, alcohol proof, or diminished quality in musical harmony. The symbol consists of a small raised circle, historically a zero glyph. Answer #18 Explanation: constant(s) Answer #19 Explanation: March 14 Answer #20 Explanation: Pi Approximation Day
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