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The test for Grades 7-8 covers the subjects under Grades 4-6 plus algebra, geometry and number theory. The test for Grades 9-12 covers the subjects under both Grades 4-6 and Grades 7-8 plus analysis, trigonometry and calculus. For Grades 4-6 and Grades 7-8 each school may send up to three students per division.
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."
For example, if one can understand simple mathematical equations such as 2 + 2 = 4, then one would be considered to possess at least basic numeric knowledge. Substantial aspects of numeracy also include number sense, operation sense, computation, measurement, geometry, probability and statistics.
There are also some differences in how number sense is defined in math cognition. For example, Gersten and Chard say number sense "refers to a child's fluidity and flexibility with numbers, the sense of what numbers mean and an ability to perform mental mathematics and to look at the world and make comparisons." [2] [3] [4] In non-human animals ...
There were, however, other early and more reliable studies on number sense in animals. A prominent example is the work of Otto Koehler, who conducted a number of studies on number sense in animals between 1920s and 1970s. [4] In one of his studies [5] he showed that a raven named Jacob could reliably distinguish the number 5 across different ...
For example, 3 is the only prime with period 1, 11 is the only prime with period 2, 37 is the only prime with period 3, 101 is the only prime with period 4, so they are unique primes. The next larger unique prime is 9091 with period 10, though the next larger period is 9 (its prime being 333667).