North arolina Testing Program EOG Mathematics Grade Sample Items Goal. Susie earns $4.90 per hour. If she earned $90.7 last pay period, about how many hours did she work during the pay period? 5 0 75 70 4. The Thomas family went for a Sunday drive. efore they left, Mr. Thomas noticed the gas tank was full. When they returned 4 home the gas tank was full. If the gas tank holds gallons, how many gallons of gas did the car use on the drive? 6. Which of the following is the best estimate of the following product? 7 0.964 0.50 7 9 4. Which of the following is the best estimate of this quotient? 54.69 0. 5. Which of the following lists the numbers in order from least to greatest? 7.%, 7., 7, 7.4 4 5 6 7., 7, 7.%, 7.4 7.4, 7., 7, 7.% 7.%, 7., 7.4, 7 Page Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 6. Which of the following is closest to? 7 9. Sally s math grade average went from an 4 to a 9. What was the percent of increase in her grade average? 4% 57 76 4 % 7 0 6 % 4 9 % 7. Students in four classrooms were asked if they planned to participate in a school sport for the coming year. Which group had the highest percent reply yes? lassroom 5 yes out of 4 lassroom 0 yes out of 4 lassroom yes out of 7 lassroom yes out of 6 0. Over the past years the property tax value of Jake s house increased from $5,000 to $9,000. y about what percent did the property tax value increase? % 9% % %. 9 Which decimal represents? 6.6.6.6.. The manufacturer s price for a tent is $.50. camping store that bought the tents sells them for $40.76. pproximately what was the percent of increase in the price of the tents? 4.0% 57.0% 75.4% 76.0% Page Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal. Mr. Jones purchased a new compact disc () player for $97.9 including tax. The player had a sticker price of $9.99. To the nearest whole number, what percent sales tax did he pay? 6% 7% % 9% 4. ccording to the 99 ensus ureau data, New York ity was ranked number in population with a population of approximately 7. 0 6. Los ngeles, alifornia, ranked number with a population of slightly less than half that of New York ity. Which of the following could be the approximate population for Los ngeles? 7,00,500,000,900,000. There were approximately,00,000 people living in Nigeria in 999. How is this number written in scientific notation? 4,700,000 6. 0 7. 0 5.0 0. 0 Page Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 5. manda determined that it would be easier to find the answer to this homework problem by using scientific notation. 7,000,000 0.000006 7. Evaluate: Ê ˆ Ë - 9 manda correctly rewrote this problem using scientific notation. Which did manda write?.7 0 6.0 0 6 0.7 0 0.6 0 5 9-6 9-7 7.7 0 6.0 0 6 6. Which expression is equivalent to 4 6? 7 0 6.0 6 5 6 6 6 6. The radius of an atom is one nanometer, which is approximately.97 0 of an inch. What is this length expressed in standard notation? 5 0.0000000097 in. 0.000000097 in. 0.00000097 in. 0.0000097 in. Page 4 Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 9. ( ) Simplify: 5 5 5 5 5 5. The area of a square is 00 square meters. The length of its side is between which two numbers? 7 and and 9 00 and 0 400 and 40 5 5. Jean used the Pythagorean Theorem to determine the distance in feet from point to point across the lake. 0. Kelly found that the length of the hypotenuse of a triangle was equal to the square root of 5. The length of the hypotenuse was between which two consecutive integers? 0 and and 0 and If the length of is equal to the square root of,000, what is true about this distance? 6 and 6 It is between 0 feet and feet. It is between 40 feet and 50 feet. It is between 54 feet and 55 feet. It is between 55 feet and 56 feet. Page 5 Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal. surveyor determined that the distance across a pond is,55 feet. What is this distance to the nearest tenth of a foot?.6 ft 5. One astronomical unit (U) is the average distance from Earth to the sun. This distance is about.5 0 kilometers. What is the equivalent distance in kilometers for astronomical units? 5.0 ft 4.5 0 47.5 ft.5 0,7.5 ft 4.5 0 4 4.5 0 4. ertain bacteria double in number every 0 minutes. When starting with a single bacterium of this type, which of the following best represents the number of bacteria that are present after 7 hours?. 0 6. The mass of an electron is 9 0 grams. proton weighs,6 times as much as an electron. Which of the following represents the weight, in grams, of a proton written in scientific notation?.4 0.06 0-4 6. 0.06 0-6. 0.654 0-4.654 0 - Page 6 Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 7. n insect population in a lab has 6 insects. If the population doubles, how many insects will there be? 7 0. Which point below corresponds to the value of - 4 +? E F G H 6 4 0 4 6 E 6 4 F 4 G H. Which of the following numbers graphed on the number line below has the smallest absolute value? 6 4 0 4 6. Which of the following is a true statement? - = - + - - = - + 4 - = - + - - = - + - 6 9. What number is 5 less than four times the absolute value of -7? - - Page 7 Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal. Which property allows us to rewrite a + b + c + 4 b as a + c + b + 4 b? commutative property associative property additive identity property distributive property. ( - y) + ( y + ) The expression 4 5 is simplified in the following steps. ( ) ( ) Step 4 5 - y + y + = 0 - y + y + 6 Step = 0-9y + 6 Step = 0 + 6-9y Step 4 = 6-9y Which property was used to go from Step to Step? commutative property additive identity associative property distributive property Page Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 4. ( x) ( x) The expression 6-4 + 5 is simplified in the following steps. Step 6-4 + 5 = - x + 5 Step = + 5 - x Step = - x Which property was applied in Step? 6. Multiply times the sum of times a number and. What is the simplified expression? n + n + associative property multiplicative identity commutative property distributive property 6n + 4 6n + 6 7. Simplify: y - y - 5y + y 5. Simplify: 0 + ( 4 + w) y + y - y y w - 0y y + w - 0y 0 y + w w +. Which of the following is the perimeter of a square whose side measures a +? a a + 7 a + a + Page 9 Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 9. Simplify: 6( x + y) + ( x - y) 9x x - y 5x + 5y 4. What additional information is needed to solve this problem? Mary paid $.0 for a sandwich, a cup of fruit, and a pint of milk. If the sandwich costs $0.95, what was the cost of the cup of fruit? x + 5y 40. Sam has a total of 5 cows and horses. He feeds each animal. pounds of grain each day. Each day he also puts out 0 extra pounds of grain for the animals. How much grain does Sam use each week? the cost of a pint of milk the total cost of the lunch the size of the cup of fruit No additional information is needed. 44.5 pounds 04.5 pounds 5.5 pounds.5 pounds 4. Maria bought yards of fabric for a costume for the spring production. The material usually costs $.5 per yard but is on sale this week for 5% off. How much did Maria spend on fabric? $4.70 $4.0 $6.0 $6.0 Page 0 Published November 00. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 4. Jackie can mow the lawn at his house in 45 minutes. hris can mow the same lawn in 50 minutes. Which question would require additional information to find a solution? How much more than hris did Jackie charge to mow the lawn? Who mows the lawn faster? If Jackie works alone, how much of the lawn will be mowed in 0 minutes? If hris works alone, how much of the lawn will be mowed in 0 minutes? End of Goal Sample Items In compliance with federal law, including the provisions of Title IX of the Education mendments of 97, the epartment of Public Instruction does not discriminate on the basis of race, sex, religion, color, national or ethnic origin, age, disability, or military service in its policies, programs, activities, admissions or employment. Page Published November 00. May reproduce for instructional and
Goal nswers to EOG Mathematics Grade Sample Items. Objective.0 Estimate and compute with rational numbers. Thinking Skill: pplying orrect nswer:. Objective.0 Estimate and compute with rational numbers. Thinking Skill: Generating orrect nswer:. Objective.0 Estimate and compute with rational numbers. Thinking Skill: Generating orrect nswer: 4. Objective.0 Estimate and compute with rational numbers. Thinking Skill: pplying orrect nswer: 5. Objective.0 ompare, order, and convert among fractions, decimals (terminating and non-terminating), and percents. Thinking Skill: Organizing orrect nswer: 6. Objective.0 ompare, order, and convert among fractions, decimals (terminating and non-terminating), and percents. Thinking Skill: nalyzing orrect nswer: 7. Objective.0 ompare, order, and convert among fractions, decimals (terminating and non-terminating), and percents. Thinking Skill: Integrating orrect nswer:. Objective.0 ompare, order, and convert among fractions, decimals (terminating and non-terminating), and percents. Thinking Skill: pplying orrect nswer: 9. Objective.04 Solve problems involving percent of increase and percent of decrease. Thinking Skill: pplying orrect nswer: 0. Objective.04 Solve problems involving percent of increase and percent of decrease. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published November 00. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items. Objective.04 Solve problems involving percent of increase and percent of decrease. Thinking Skill: pplying orrect nswer:. Objective.04 Solve problems involving percent of increase and percent of decrease. Thinking Skill: pplying orrect nswer:. Objective.05 Use scientific notation to express large numbers and numbers less than one. Write in standard form numbers given in scientific notation. Thinking Skill: Knowledge orrect nswer: 4. Objective.05 Use scientific notation to express large numbers and numbers less than one. Write in standard form numbers given in scientific notation. Thinking Skill: Generating orrect nswer: 5. Objective.05 Use scientific notation to express large numbers and numbers less than one. Write in standard form numbers given in scientific notation. Thinking Skill: nalyzing orrect nswer: 6. Objective.05 Use scientific notation to express large numbers and numbers less than one. Write in standard form numbers given in scientific notation. Thinking Skill: nalyzing orrect nswer: 7. Objective.06 Use rules of exponents. Thinking Skill: pplying orrect nswer:. Objective.06 Use rules of exponents. Thinking Skill: nalyzing orrect nswer: 9. Objective.06 Use rules of exponents. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published November 00. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 0. Objective.07 Estimate the square root of a number between two consecutive integers; using a calculator, find the square root of a number to the nearest tenth. Thinking Skill: nalyzing orrect nswer:. Objective.07 Estimate the square root of a number between two consecutive integers; using a calculator, find the square root of a number to the nearest tenth. Thinking Skill: nalyzing orrect nswer:. Objective.07 Estimate the square root of a number between two consecutive integers; using a calculator, find the square root of a number to the nearest tenth. Thinking Skill: nalyzing orrect nswer:. Objective.07 Estimate the square root of a number between two consecutive integers; using a calculator, find the square root of a number to the nearest tenth. Thinking Skill: nalyzing orrect nswer: 4. Objective.0 Solve problems involving exponents and scientific notation. Thinking Skill: pplying orrect nswer: 5. Objective.0 Solve problems involving exponents and scientific notation. Thinking Skill: pplying orrect nswer: 6. Objective.0 Solve problems involving exponents and scientific notation. Thinking Skill: Integrating orrect nswer: 7. Objective.0 Solve problems involving exponents and scientific notation. Thinking Skill: pplying orrect nswer:. Objective.09 etermine the absolute value of a number. Thinking Skill: nalyzing orrect nswer: 9. Objective.09 etermine the absolute value of a number. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published November 00. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 0. Objective.09 etermine the absolute value of a number. Thinking Skill: pplying orrect nswer:. Objective.09 etermine the absolute value of a number. Thinking Skill: pplying orrect nswer:. Objective.0 Identify, explain, and apply the commutative, associative, and distributive properties, inverses, and identities in algebraic expressions. Thinking Skill: nalyzing orrect nswer:. Objective.0 Identify, explain, and apply the commutative, associative, and distributive properties, inverses, and identities in algebraic expressions. Thinking Skill: nalyzing orrect nswer: 4. Objective.0 Identify, explain, and apply the commutative, associative, and distributive properties, inverses, and identities in algebraic expressions. Thinking Skill: nalyzing orrect nswer: 5. Objective.0 Identify, explain, and apply the commutative, associative, and distributive properties, inverses, and identities in algebraic expressions. Thinking Skill: pplying orrect nswer: 6. Objective. Simplify algebraic expressions. Thinking Skill: Integrating orrect nswer: 7. Objective. Simplify algebraic expressions. Thinking Skill: Integrating orrect nswer:. Objective. Simplify algebraic expressions. Thinking Skill: Integrating orrect nswer: 9. Objective. Simplify algebraic expressions. Thinking Skill: Integrating orrect nswer: North arolina Testing Program Published November 00. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 40. Objective. nalyze problems to determine if there is sufficient or extraneous data, select appropriate strategies, and use an organized approach to solve using calculators when appropriate. Thinking Skill: pplying orrect nswer: 4. Objective. nalyze problems to determine if there is sufficient or extraneous data, select appropriate strategies, and use an organized approach to solve using calculators when appropriate. Thinking Skill: nalyzing orrect nswer: 4. Objective. nalyze problems to determine if there is sufficient or extraneous data, select appropriate strategies, and use an organized approach to solve using calculators when appropriate. Thinking Skill: pplying orrect nswer: 4. Objective. nalyze problems to determine if there is sufficient or extraneous data, select appropriate strategies, and use an organized approach to solve using calculators when appropriate. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program Published November 00. May reproduce for instructional and educational purposes only; not for personal or financial gain.