North arolina Testing Program EOG Mathematics Grade Sample Items Goal. There are eighty-six thousand four hundred seconds in a day. How else could this number be written? 80,06. Jenny s vacation money consisted of a $00 bill, a $20 bill, and a $5 bill. How would she correctly write the amount of her vacation money in words? 80,60 86,00 86,0 twenty-five dollars one hundred five dollars one hundred and twenty-five dollars 2. The area of North arolina is fifty-two thousand, seven hundred twelve square miles. How would this number be written? 520,702 52,72 52,702 5,272. rystal s mother was counting the money from her store. She counted $,67. How would rystal write this amount in words? four thousand three hundred sixty-seven dollars one hundred twenty-five dollars 5. The numbers of lunches served in the school cafeteria for one week are listed in the chart. Lunches Served ay Mon. Tues. Wed. Thurs. Fri. Number 267 28 5 59 29 bout how many lunches were served that week?,200 four thousand three hundred seventy-six dollars forty thousand three hundred sixty-seven dollars forty three thousand sixty-seven dollars,00,500,700 Page Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 6. Last summer, about 5,885 people visited Santa Maria Park each day for 5 days. What is the closest approximation for the total number of park visitors for those 5 days? 8. The students in twelve classes voted on their favorite food. The results are shown in the table. Favorite Food,000 0,000 00,000,000,000 Food Hamburger Hot og Taco Pizza hicken Sandwich Number 57 5 2 68 9 7. On Monday, arrie and her family traveled 792 miles. On Tuesday they traveled another 0 miles. bout how many more miles did they travel on Monday than on Tuesday? 200 miles 00 miles bout how many more students chose pizza than a chicken sandwich? 20 0 0 70 00 miles,200 miles Page 2 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 9. Which number from rian s chart has the greatest value in the tenths place? rian s Sunflower hart ay Growth Monday 0.2 cm Tuesday 2.6 cm Wednesday 5.26 cm. 2 5 6 How are,,,, and alike? 6 8 0 2 They are all mixed numbers. They are all even numbers. They are all in lowest terms. They are all equivalent to. 2 Thursday 20.0 cm 0.2 cm 2.6 cm 2. Which of the following is the largest? 5 5.26 cm 20.0 cm 8 9 2 0. Marcy s ruler only has " markings. If she needs to measure 8 eighths should she count? ", how many 7 6 7 Page Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal. Each of these models is equivalent to which fraction?. Wesley ordered a pizza to share with his friend Jordan. The drawing shows the leftover pizza. 2 6 8 2 Which fraction shows how much of the pizza they ate? 2 9 6 9 9 2 Page Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 5. How much of Mrs. Jones s new kitchen floor is made up of tiles with stars? 6. shley ran four 50-yard dash races. Times in 50-yard ash Races Race 2 Time in Seconds 0.6 9.9 0. 9.7 0.50 of the total floor 0.0 of the total floor 0.8 of the total floor 0.6 of the total floor She wants to put her times for the races in order from her shortest time to her longest time. Which is the correct order? 0., 0.6, 9.7, 9.9 0.6, 0., 9.9, 9.7 9.9, 9.7, 0.6, 0. 9.7, 9.9, 0., 0.6 7. How much of the hundred grid is shaded? 0.20 0.25 0.27 0.29 Page 5 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 8. Which bottle shows.5 quarts of juice? 9. 5 The shaded part of this figure is. 0 quart quart What decimal represents the same area? 0.05 0.5 0.50 0.55 quart quart Page 6 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 20. ased on the hundredths board below, which of the following decimals is equivalent to? 0.75 0.50 0. 0.25 Page 7 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 2. What is the total amount shaded on these two grids? 0.5 grid.0 grids.02 grids.5 grids 22. fter Sadie s soccer team party, 2.7 pizzas were left. How many pizzas were left after Sadie took home half (0.5) of a pizza?.5 2.2 2.75.2 Page 8 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal Page 9 Published November 200. May reproduce for instructional and 2. Josie was baking cupcakes. flour 2 milk 2 berries 2 water 2 sugar 2 How many cups of flour, sugar, and berries went into her cupcakes? 9 8 7 6
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 2. Matt drew these square designs on his paper. 25. Three-tenths of Morgan s baseball collection has been signed by baseball players. Then Matt wrote a fraction for the shaded part of each square. What is the sum of the three fractions? 5 2 5 7 Which fraction shows the number of baseballs that are unsigned?, because three of the ten balls 0 are unsigned 5 7, because three of the seven balls are unsigned 7 5 7 0, because seven of the ten balls are unsigned 0 7, because ten of the seven balls are unsigned Page 0 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 26. The soccer team ordered eight pizzas. The drawing shows the pizza left over. How many pizzas were left over? 2 2 5 2 Page Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 27. Willy went bowling with his family. The bowling pins were set up as shown. If Willy knocked over 2 5 of the pins, how many pins were left standing? 2 5 6 Page 2 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 28. Nina planted 2 pink and purple tulips. If 6 8 2 of the tulips were pink, how many pink tulips were planted? Page Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 29. Patty shaded of her chart to make a 5 design. Patty s hart. Selena sorted coins into a stack of nickels and a stack of dimes. If each stack has 0 coins, which number expression will help Selena know the total value of her coins? 0($0.0) + $0.05 0 + ($0.0 + $0.05) 0($0.0 + $0.05) $0.0 + $0.05 How many squares did she shade? 50 25 20 5 2. Which expression is an example of the associative property of multiplication? 5 ( 2) = ( 5 ) 2 5 ( 2) = 5 ( 2 ) 5 ( + 2) = 5 ( 2 + ) 5 ( + 2) = ( 5 ) + ( 5 2) 0. Which model correctly shows 2 of 2? X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X Page Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal. Nika was given the following numbers to add: + 65 75 28 85 277 26 Nika quickly added the ones column by adding ( + 6 ),( 7 + ), ( then 5 + 5 ). This gave her three tens or 0. Which properties of addition did Nika use to quickly arrive at the first part of her answer? associative and distributive properties 5. Leona and her mother made a quilt. They used 56 squares and made 8 rows. How many squares are in each row? 6 7 8 9 6. arlos put 8 cookies into 8 equal rows. How many cookies were in each row? 56 commutative and associative properties commutative and distributive properties associative and inverse properties 0 8 6. Paul wrote the equation ( 8 + 25) + 25 = 88. To make his equation easier to solve with mental math, he changed it to read: 8 + ( 25 + 25) = 88. What property did Paul use? the associative property of addition the identity property of addition the associative property of multiplication the distributive property of multiplication over addition Page 5 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 7. nna makes a necklace with equal numbers of brown, red, and gold beads. 9. The weight of a famous emerald is. carats. How much is this rounded to the nearest whole number? ES 2 carats carats rown per pkg. $0.69/pkg. carats 5 carats Red per pkg. $0.89/pkg. Gold 6 per pkg. $.09/pkg. ased on the sign above, how many packages of each color will she need to buy in order to have 2 beads of each color? 0. 8 Sean needs 2 lb of carrots, lb of tomatoes, and a salad for his party. lb of lettuce to make bout how many pounds of vegetables does Sean need to buy? brown, red, and 2 gold 8 pounds brown, red, and gold 7 pounds brown, red, and 2 gold 6 pounds brown, 2 red, and gold 5 pounds 8. There are 2 children in line at an amusement park. If an equal number of those children ride in each of the bumper cars, how many ride in each car?. Which of these numbers is closest to? 8 8 2 8 2 Page 6 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 2. There are 28 papers to fold. Four children will each fold the same number. What is the best estimate of how many papers each child will fold? Each child will fold more than 70 and less than 80. Each child will fold more than 80 and less than 90. Each child will fold more than 90 and less than 00. 5. Six friends each have 86 baseball cards. How many baseball cards do they have? 00 0 56 526 Each child will fold more than 00 and less than 0. 6. Jodi walked miles each day. How many miles had she walked after days?. The typical -year-old spends 2 hours and 25 minutes per day watching television. bout how much television does the typical -year-old watch in one month? 60 hours 2 2 75 hours 80 hours 90 hours 7. Miriam read 7 pages in her book every night for week. How many pages did she read that week? 69. The lunchroom sells about 9 cases of ice cream bars every day. There are 2 ice cream bars in each case. bout how many bars will they sell in 5 days? 9 92 79 more than 600 between 500 and 600 between 00 and 500 less than 00 Page 7 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 8. On the first day of school, each of the 8 students was given one pack of three pencils and two packs of paper. How many pencils were given out in all? 8 768,52,920 5. José, Phillip, and Timothy shared a bag of marbles. The bag contained 272 marbles. How many marbles were left over after the friends shared them equally? 90 9 6 2 9. Mrs. Gregory assigned a project that requires each of her 20 students to use 6 toothpicks. How many toothpicks will she need to provide? 72 620 720 7,200 50. Eric wants to put 2 pictures into a new photo book. Each page holds 8 pictures. What is the least number of pages Eric needs to use in his photo book? 6 7 8 52 52. Miss onrad ordered 60 felt-tip pens for 9 students in her after-school math club. Each student received the same number of pens. How many pens did each student receive, and how many pens were left over? 5 pens each with 5 left over 6 pens each with 6 left over 6 pens each with left over 7 pens each with left over 5. Ms. Howard bought 8 cheese pizzas for $8. How much did each pizza cost? $56 $0 $8 $6 Page 8 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 5. What is the value of the expression 6 + 0 2? 2 57. Ella plans to bake five cherry pies. Each pie needs 6 ounces of cherries. herries 8 oz for $.80 29 7 55. Maria made seven dozen peanut butter cookies. She needs cookies for the bake sale. Which expression gives the number of cookies she still needs to make? - ( 7 2) How much will she spend on cherries? $.80 $.60 $9.00 $8.00 ( 7 2) + ( - 7) 2 7 + 2 56. Mr. Wade wrote an expression on the board. 7-8 + 5 = Which operation should be completed first to find the value of the expression? 7-8 8 + 5 7 + 5 58. Matthew is given a chart for a function machine. Function Machine Results Input Number 56 2 9 Output Number 2 22 8 What is the best way for Matthew to determine the output number for 9? use a number line graph draw a circle graph draw a pictograph find a pattern Page 9 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 59. Which strategy listed below would be the best to use to solve this problem? Jim bought lunch on Monday and Wednesday for $5 each day. He bought a new for $5 on Thursday. On Friday he spent $5 to go to the movies. On Saturday he counted the money he had left and found he had $0. How much money did Leo have at the beginning of the week? work backwards make a graph look for a pattern There is not enough information given to solve the problem. 60. Point marks the position of the fifteenth person in line for the show. How many people are behind the wall waiting in line? 0 2 5 Page 20 Published November 200. May reproduce for instructional and
North arolina Testing Program EOG Mathematics Grade Sample Items Goal 6. Which of the following will always give a product that is an odd number? even odd even even odd odd none of these 62. Linda owns a gift shop. She ordered 9 boxes of greeting cards. Each box contains 75 cards. How many cards did Linda order?,275,76,575,670 End of Goal Sample Items In compliance with federal law, including the provisions of Title IX of the Education mendments of 972, 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 2 Published November 200. May reproduce for instructional and
Goal nswers to EOG Mathematics Grade Sample Items. Objective.0 Read and write numbers less than one million using standard and expanded notation. Thinking Skill: Knowledge orrect nswer: 2. Objective.0 Read and write numbers less than one million using standard and expanded notation. Thinking Skill: Knowledge orrect nswer:. Objective.0 Read and write numbers less than one million using standard and expanded notation. Thinking Skill: Knowledge orrect nswer:. Objective.0 Read and write numbers less than one million using standard and expanded notation. Thinking Skill: nalyzing orrect nswer: 5. Objective.02 Use estimation techniques in determining solutions to problems. Thinking Skill: pplying orrect nswer: 6. Objective.02 Use estimation techniques in determining solutions to problems. Thinking Skill: pplying orrect nswer: 7. Objective.02 Use estimation techniques in determining solutions to problems. Thinking Skill: pplying orrect nswer: 8. Objective.02 Use estimation techniques in determining solutions to problems. Thinking Skill: pplying orrect nswer: 9. Objective.0 Model and identify the place value of each digit in a multi-digit numeral to the hundredths place. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program Published November 200. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 0. Objective.0 Model, identify, and compare rational numbers (fractions and mixed numbers). Thinking Skill: nalyzing orrect nswer:. Objective.0 Model, identify, and compare rational numbers (fractions and mixed numbers). Thinking Skill: nalyzing orrect nswer: 2. Objective.0 Model, identify, and compare rational numbers (fractions and mixed numbers). Thinking Skill: nalyzing orrect nswer:. Objective.0 Model, identify, and compare rational numbers (fractions and mixed numbers). Thinking Skill: nalyzing orrect nswer:. Objective.0 Model, identify, and compare rational numbers (fractions and mixed numbers). Thinking Skill: nalyzing orrect nswer: 5. Objective.05 Identify and compare rational numbers in decimal form (tenths and hundredths) using models and pictures. Thinking Skill: nalyzing orrect nswer: 6. Objective.05 Identify and compare rational numbers in decimal form (tenths and hundredths) using models and pictures. Thinking Skill: Organizing orrect nswer: 7. Objective.05 Identify and compare rational numbers in decimal form (tenths and hundredths) using models and pictures. Thinking Skill: nalyzing orrect nswer: 8. Objective.05 Identify and compare rational numbers in decimal form (tenths and hundredths) using models and pictures. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program Published November 200. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 9. Objective.06 Relate decimals and fractions (tenths and hundredths) to each other using models and pictures. Thinking Skill: nalyzing orrect nswer: 20. Objective.06 Relate decimals and fractions (tenths and hundredths) to each other using models and pictures. Thinking Skill: nalyzing orrect nswer: 2. Objective.07 Use models and pictures to add and subtract decimals, explaining the processes and recording results. Thinking Skill: pplying orrect nswer: 22. Objective.07 Use models and pictures to add and subtract decimals, explaining the processes and recording results. Thinking Skill: pplying orrect nswer: 2. Objective.08 Use models and pictures to add and subtract rational numbers with like denominators. Thinking Skill: Integrating orrect nswer: 2. Objective.08 Use models and pictures to add and subtract rational numbers with like denominators. Thinking Skill: Integrating orrect nswer: 25. Objective.08 Use models and pictures to add and subtract rational numbers with like denominators. Thinking Skill: nalyzing orrect nswer: 26. Objective.08 Use models and pictures to add and subtract rational numbers with like denominators. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program Published November 200. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 27. Objective.09 Find the fractional part of a whole number using models and pictures. Thinking Skill: pplying orrect nswer: 28. Objective.09 Find the fractional part of a whole number using models and pictures. Thinking Skill: pplying orrect nswer: 29. Objective.09 Find the fractional part of a whole number using models and pictures. Thinking Skill: pplying orrect nswer: 0. Objective.09 Find the fractional part of a whole number using models and pictures. Thinking Skill: nalyzing orrect nswer:. Objective.0 Model and explain associative and distributive properties. Thinking Skill: nalyzing orrect nswer: 2. Objective.0 Model and explain associative and distributive properties. Thinking Skill: Knowledge orrect nswer:. Objective.0 Model and explain associative and distributive properties. Thinking Skill: Knowledge orrect nswer:. Objective.0 Model and explain associative and distributive properties. Thinking Skill: Knowledge orrect nswer: 5. Objective. Memorize the division facts related to the multiplication facts/tables through 0. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published November 200. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 6. Objective.2 Identify missing factors in multiplication facts. Thinking Skill: pplying orrect nswer: 7. Objective.2 Identify missing factors in multiplication facts. Thinking Skill: pplying orrect nswer: 8. Objective.2 Identify missing factors in multiplication facts. Thinking Skill: pplying orrect nswer: 9. Objective. Round rational numbers to the nearest whole number and justify. Thinking Skill: nalyzing orrect nswer: 0. Objective. Round rational numbers to the nearest whole number and justify. Thinking Skill: pplying orrect nswer:. Objective. Round rational numbers to the nearest whole number and justify. Thinking Skill: nalyzing orrect nswer: 2. Objective. Estimate solutions to problems. Thinking Skill: pplying orrect nswer:. Objective. Estimate solutions to problems. Thinking Skill: Integrating orrect nswer:. Objective. Estimate solutions to problems. Thinking Skill: Integrating orrect nswer: North arolina Testing Program Published November 200. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 5. Objective.5 Multiply 2- or - digit numbers by -digit numbers or a 2-digit multiple of 0. Thinking Skill: pplying orrect nswer: 6. Objective.5 Multiply 2- or - digit numbers by -digit numbers or a 2-digit multiple of 0. Thinking Skill: pplying orrect nswer: 7. Objective.5 Multiply 2- or - digit numbers by -digit numbers or a 2-digit multiple of 0. Thinking Skill: pplying orrect nswer: 8. Objective.5 Multiply 2- or - digit numbers by -digit numbers or a 2-digit multiple of 0. Thinking Skill: pplying orrect nswer: 9. Objective.5 Multiply 2- or - digit numbers by -digit numbers or a 2-digit multiple of 0. Thinking Skill: pplying orrect nswer: 50. Objective.6 ivide using single-digit divisors, with and without remainders. Thinking Skill: pplying orrect nswer: 5. Objective.6 ivide using single-digit divisors, with and without remainders. Thinking Skill: pplying orrect nswer: 52. Objective.6 ivide using single-digit divisors, with and without remainders. Thinking Skill: pplying orrect nswer: 5. Objective.6 ivide using single-digit divisors, with and without remainders. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published November 200. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 5. Objective.7 Use order of operations with addition, subtraction, multiplication, and division. Thinking Skill: pplying orrect nswer: 55. Objective.7 Use order of operations with addition, subtraction, multiplication, and division. Thinking Skill: Integrating orrect nswer: 56. Objective.7 Use order of operations with addition, subtraction, multiplication, and division. Thinking Skill: nalyzing orrect nswer: 57. Objective.8 Solve multi-step problems; determine if there is sufficient data given, then select additional strategies including: make a chart or graph; look for patterns; make a simpler problem; use logic; work backwards; break into parts. Verify and interpret results with respect to the original problem; use calculators as appropriate. iscuss alternate methods for solution. Thinking Skill: pplying orrect nswer: 58. Objective.8 Solve multi-step problems; determine if there is sufficient data given, then select additional strategies including: make a chart or graph; look for patterns; make a simpler problem; use logic; work backwards; break into parts. Verify and interpret results with respect to the original problem; use calculators as appropriate. iscuss alternate methods for solution. Thinking Skill: nalyzing orrect nswer: 59. Objective.8 Solve multi-step problems; determine if there is sufficient data given, then select additional strategies including: make a chart or graph; look for patterns; make a simpler problem; use logic; work backwards; break into parts. Verify and interpret results with respect to the original problem; use calculators as appropriate. iscuss alternate methods for solution. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program Published November 200. May reproduce for instructional and educational purposes only; not for personal or financial gain.
Goal nswers to EOG Mathematics Grade Sample Items 60. Objective.8 Solve multi-step problems; determine if there is sufficient data given, then select additional strategies including: make a chart or graph; look for patterns; make a simpler problem; use logic; work backwards; break into parts. Verify and interpret results with respect to the original problem; use calculators as appropriate. iscuss alternate methods for solution. Thinking Skill: nalyzing orrect nswer: 6. Objective.8 Solve multi-step problems; determine if there is sufficient data given, then select additional strategies including: make a chart or graph; look for patterns; make a simpler problem; use logic; work backwards; break into parts. Verify and interpret results with respect to the original problem; use calculators as appropriate. iscuss alternate methods for solution. Thinking Skill: nalyzing orrect nswer: 62. Objective.5 Multiply 2- or - digit numbers by -digit numbers or a 2-digit multiple of 0. Thinking Skill: pplying orrect nswer: North arolina Testing Program Published November 200. May reproduce for instructional and educational purposes only; not for personal or financial gain.