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Elementary arithmetic

Weather Station Models

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87 87 87 How to convert between station model number and actual barometric pressure: If the first number is less than or equal to 5, place a 10 in front of the number and a decimal between the last two digits If the first number is greater than 5 place a nine in front of the number and a decimal between the last two digits. * * *
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Bob Jones PPT Notes -- Chapter 3b

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Measurements Reporting 1 how close a measurement or the average of several measurements is to the established or theoretical value accuracy Accuracy How close you are to the correct answer Small percent error ? 100% Percent Error O ? A A percent error = Your answer is 2351. The correct answer is 2048. What is your percent error? 2351 ? 2048 2048 ? 100 = 14.79% Sample Problem how close several measurements of the same event are to each other how reproducible the results are precision precise but not accurate 9.75 sec 9.74 sec 9.73 sec 9.75 sec Electronic Gate Timer Hand Timers Avg: 9.7425 9.0241sec accurate but not precise 9.51 sec 9.20 sec 8.52 sec 8.85 sec Electronic Gate Timer Hand Timers Avg: 9.0200 9.0241sec precise and accurate 9.02 sec 9.01 sec 9.03 sec 9.02 sec

AHSME 1987

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USA AIME 1987 1 An ordered pair (m,n) of non-negative integers is called ?simple? if the addition m+n in base 10 requires no carrying. Find the number of simple ordered pairs of non-negative integers that sum to 1492. 2 What is the largest possible distance between two points, one on the sphere of radius 19 with center (?2,?10, 5) and the other on the sphere of radius 87 with center (12, 8,?16)? 3 By a proper divisor of a natural number we mean a positive integral divisor other than 1 and the number itself. A natural number greater than 1 will be called ?nice? if it is equal to the product of its distinct proper divisors. What is the sum of the first ten nice numbers? 4 Find the area of the region enclosed by the graph of |x? 60|+ |y| = |x/4|.

AHSME 1983

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USA AIME 1983 1 Let x, y, and z all exceed 1 and let w be a positive number such that logxw = 24, logy w = 40, and logxyz w = 12. Find logz w. 2 Let f(x) = |x? p|+ |x? 15|+ |x? p? 15|, where 0 < p < 15. Determine the minimum value taken by f(x) for x in the interval p ? x ? 15. 3 What is the product of the real roots of the equation x2 + 18x+ 30 = 2 ? x2 + 18x+ 45? 4 A machine-shop cutting tool has the shape of a notched circle, as shown. The radius of the circle is ? 50 cm, the length of AB is 6 cm, and that of BC is 2 cm. The angle ABC is a right angle. Find the square of the distance (in centimeters) from B to the center of the circle. A B C 5 Suppose that the sum of the squares of two complex numbers x and y is 7 and the sum of

Algebra 1

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Curriculum Map Staff Name: Mr. Kurth Course: Algebra 1 Month/Unit: Sept 6 ? Sep 17 UNIT 1 ? Tools of Algebra C O N T E N T Using Variables Exponents and Order of Operations Addition and Subtraction of Real Numbers Multiplication and Division of Real Numbers Distributive Property Various Properties of Real Numbers Graphing Data on a Coordinate Plane S K I L L S Add, Subtract, Multiply and Divide Variables Solve for variables Correct processing real numbers through the order of operations Use the distributive property Compare integers and real numbers

BASIC MATHEMATICS

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Question 1 The universal set is {natural numbers from 1 to 20 inclusive} (a) List the elements of each of the following subsets: A = {even numbers} B = {multiples of 5} C = {prime numbers} D = {factors of 20} E = {numbers less than 5} (b) Use (a) and answer the following questions: B E A C A B n(D) = ???. B ~ ???? [10] Question 2 Make use of a Venn diagram to solve the following problem. There are 210 learners with different home languages in a school: 110 speak Oshivambo 90 speak Otjiherero 50 speak Silozi 10 speak Oshivambo and Otjiherero 30 speak Otjiherero and Silozi 5 speak Oshivambo and Silozi Only 3 speak all three languages

BASIC MATHEMATICS

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Question 1 The universal set is {natural numbers from 1 to 20 inclusive} (a) List the elements of each of the following subsets: A = {even numbers} B = {multiples of 5} C = {prime numbers} D = {factors of 20} E = {numbers less than 5} (b) Use (a) and answer the following questions: B E A C A B n(D) = ???. B ~ ???? [10] Question 2 Make use of a Venn diagram to solve the following problem. There are 210 learners with different home languages in a school: 110 speak Oshivambo 90 speak Otjiherero 50 speak Silozi 10 speak Oshivambo and Otjiherero 30 speak Otjiherero and Silozi 5 speak Oshivambo and Silozi Only 3 speak all three languages
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