Mathematical Puzzles These puzzles (most of them old classics) from various sources can be used with pupils who finish classwork early. Most of the questions were chosen with enthusiastic‚ bright early teenagers in mind. Some of the puzzles are also appropriate for class work - an initial worked example on the board will help a lot. There are a few trick questions. Some questions can be quickly answered if you chance upon the right approach‚ but the ’long’ solution isn’t too arduous. Several of
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------------------------------------------------- 1 (number) 1 | −1 0 1 2 3 4 5 6 7 8 9 →List of numbers — Integers0 10 20 30 40 50 60 70 80 90 → | Cardinal | 1 one | Ordinal | 1st first | Numeral system | unary | Factorization | | Divisors | 1 | Greek numeral | α’ | Roman numeral | I | Roman numeral (Unicode) | Ⅰ‚ ⅰ | Persian | ١ - یک | Arabic | ١ | Ge’ez | ፩ | Bengali | ১ | Chinese numeral | 一，弌，壹 | Korean | 일‚ 하나 | Devanāgarī | १ | Telugu | ೧ | Tamil |
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Name Chapter 2‚ Lesson 1 Practice Date Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Use > or < to compare the numbers. Make a number line on a separate sheet of paper to help. 1. 4‚351 4. 119‚832 7. 9‚889 4‚315 2. 8‚998 5. 745‚271 8. 911‚238 60‚060 6‚600 30‚298 75‚271 30‚302 3. 69‚780 6. 598‚401 9. 14‚501 96‚870 589‚410 13‚799 Test Practice Circle the letter of the correct answer. 10.
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Complex Numbers All complex numbers consist of a real and imaginary part. The imaginary part is a multiple of i (where i =[pic] ). We often use the letter ‘z’ to represent a complex number eg. z = 3 +5i The conjugate of z is written as z* or [pic] If z1 = a + bi then the conjugate of z (z* ) = a – bi Similarly if z2 = x – yi then the conjugate z2* = x + yi z z* will always be real (as i2 = -1) For two expressions containing complex numbers to be equal‚
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understanding. Based on geometry alone‚ many special patterns evolve‚ such as the square numbers‚ triangular numbers‚ and much more. The Stellar Numbers are mostly used in astronomy and astrology. Stellar Numbers are figurate numbers based on the number of dots that can fit into a midpoint to form a star shape. The points of the star determine the number of points plotted around the midpoint. Triangular numbers is a figurate number system that can be represented in the form of a triangular grid of points where
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Quantum Numbers Quantum Numbers The Bohr model was a one-dimensional model that used one quantum number to describe the distribution of electrons in the atom. The only information that was important was the size of the orbit‚ which was described by the n quantum number. Schrödinger’s model allowed the electron to occupy three-dimensional space. It therefore required three coordinates‚ or three quantum numbers‚ to describe the orbitals in which electrons can be found. The three coordinates that
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he number theory or number systems happens to be the back bone for CAT preparation. Number systems not only form the basis of most calculations and other systems in mathematics‚ but also it forms a major percentage of the CAT quantitative section. The reason for that is the ability of examiner to formulate tough conceptual questions and puzzles from this section. In number systems there are hundreds of concepts and variations‚ along with various logics attached to them‚ which makes this seemingly
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English 101C- WB 10/04/12 Uncontrollable Numbers Today‚ magazines are causing uproar with targeting consumers with outrageous numbers to gain attention. Seeyle states‚ “A trip to the newsstand these days can be a dizzying descent into a blizzard of numbers.” Reading through the article‚ the author adventured through numbers in sales‚ and how people can be addicted to these certain number strategies. She claims that in most popular magazine distribution all numbers sell. Seeyle looks into most of many
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------------------------------------------------- Prime number A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime‚ as only 1 and 5 divide it‚ whereas 6 is composite‚ since it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than
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assessment in 2011 and 2012 STELLAR NUMBERS SL TYPE I Aim: In this task you will consider geometric shapes which lead to special numbers. The simplest example of these are square numbers‚ 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3 and 4. The following diagrams show a triangular pattern of evenly spaced dots. The numbers of dots in each diagram are examples of triangular numbers (1‚3‚6‚)…. 1 3 6 10 15 Complete the triangular numbers sequence with three more terms. Find
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