2014 EOC FSA Mathematics Training Test Questions The purpose of these training test materials is to orient teachers and students to the types of questions on FSA tests. By using these materials, students will become familiar with the types of items and response formats they will see on the actual test. The training questions and answers are not intended to demonstrate the length of the actual test, nor should student responses be used as an indicator of student performance on the actual test. The training test is not intended to guide classroom instruction. Directions for Answering the Mathematics Training Test Questions If you don t know how to work a problem, ask your teacher to explain it to you. Your teacher has the answers to the training test questions. You may need formulas and conversions to help you solve some of the problems. You may refer to the appropriate Reference Sheet on pages 3 8 as often as you like. Use the space in your Mathematics Training Test Questions booklet to do your work on the multiple-choice and short-answer questions.
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Algebra 1 EOC FSA Mathematics Reference Sheet Customary Conversions 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5,280 feet 1 mile = 1,760 yards 1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 pound = 16 ounces 1 ton = 2,000 pounds Metric Conversions 1 meter = 100 centimeters 1 meter = 1000 millimeters 1 kilometer = 1000 meters 1 liter = 1000 milliliters 1 gram = 1000 milligrams 1 kilogram = 1000 grams Time Conversions 1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours 1 year = 365 days 1 year = 52 weeks Page 3
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Geometry EOC FSA Mathematics Reference Sheet Customary Conversions 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5,280 feet 1 mile = 1,760 yards 1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 pound = 16 ounces 1 ton = 2,000 pounds Metric Conversions 1 meter = 100 centimeters 1 meter = 1000 millimeters 1 kilometer = 1000 meters 1 liter = 1000 milliliters 1 gram = 1000 milligrams 1 kilogram = 1000 grams Time Conversions 1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours 1 year = 365 days 1 year = 52 weeks Page 5
Formulas Geometry EOC FSA Mathematics Reference Sheet sin A = opposite hypotenuse cos A = adjacent hypotenuse tan A = opposite adjacent V = Bh V = 1 3 Bh 4 V = πr 3 3 y = mx + b, where m = slope and b = y-intercept y y1 = m(x x1), where m = slope and (x1, y1) is a point on the line Page 6
Algebra 2 EOC FSA Mathematics Reference Sheet Customary Conversions 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5,280 feet 1 mile = 1,760 yards 1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 pound = 16 ounces 1 ton = 2,000 pounds Metric Conversions 1 meter = 100 centimeters 1 meter = 1000 millimeters 1 kilometer = 1000 meters 1 liter = 1000 milliliters 1 gram = 1000 milligrams 1 kilogram = 1000 grams Time Conversions 1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours 1 year = 365 days 1 year = 52 weeks Page 7
Formulas Algebra 2 EOC FSA Mathematics Reference Sheet x = b b 2 4ac 2a, where a, b, and c are coefficients in an equation of the form ax 2 + bx 2 + c = 0 logb a = log a log b sin A = opposite hypotenuse cos A = adjacent hypotenuse tan A = opposite adjacent P(B A) = P(A and B) P(A) P(A or B) = P(A) + P(B) P(A and B) (x μ) z =, where μ = mean and σ = standard deviation σ Page 8
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FSA Mathematics Training Test Questions 1. An expression is shown. a 3 4 a 3 2 What is the product of the two factors? A B C D 2 a 3 8 a 9 a 2 8 a 3 14440 Page 11
FSA Mathematics Training Test Questions 2. Mrs. Jones surveys her class about their siblings. In the class, 75% of the students have a brother, 82% have a sister, and 65% have both a brother and a sister. What is the probability that a student has a brother or a sister? ------- ````` aaaaaaa 0000000 1111111 2222222 3333333 4444444 5555555 6666666 7777777 8888888 9999999 14376 Page 12
FSA Mathematics Training Test Questions 3. Paul deposits $1,500 in a savings account every year on the last business day in June. The account earns 5% annual interest, compounded annually (once per year). Which formula shows A, the amount of money in the account, in dollars, on the first business day in July, as a result of n deposits plus interest for n 4? 14399 A A = 1,500[(1.05) n + (1.05) n 1 + (1.05) n 2 +... + (1.05) 1 ] B A = 1,500[(1.05) n + (1.05) n 1 + (1.05) n 2 +... + (1.05) 0 ] C A = 1,500[(1.05) n 1 + (1.05) n 2 + (1.05) n 3 +... + (1.05) 1 ] D A = 1,500[(1.05) n 1 + (1.05) n 2 + (1.05) n 3 +... + (1.05) 0 ] 4. A square is inscribed in a circle. The circle has a diameter of 11 2 cm. What is the length of one side of the square, in centimeters? ------- ````` aaaaaaa 0000000 1111111 2222222 3333333 4444444 5555555 6666666 7777777 8888888 9999999 14410 Page 13
5. A contingency table for a class is shown. FSA Mathematics Training Test Questions Females Males Total Class Data Juniors Seniors 6 10 9 7 15 17 Total 16 16 32 What is the probability that a student selected at random is a female given that the student is not a senior? A 30% B 40% C 50% D 60% 14422 Page 14
FSA Mathematics Training Test Questions 6. A line contains the points (0, 0) and (1, 4). Select all the equations that represent this line. 14394 A y = x +4 B y =4x C (y 0) = 4(x 0) D x =4y E x =0.25y F y =4x 2 Page 15
FSA Mathematics Training Test Questions 7. Select all the numbers that could be the sum of a rational number and an irrational number. 14408 A 4.076923076923 B 5.236067977567... C 3.116666666666 D 9.605555127513... E 6.714285714285 F 2.718281828582... Page 16
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