Temperature Readings. Time. About how many degrees did the temperature increase from 7 a.m. to 12 noon?

Transcription

1 1. The science class did an experiment. jar containing water and a thermometer was placed outside for twelve hours. Every hour the temperature was recorded. Temperature Readings a.m. 9 a.m. 12 noon 3 p.m. 6 p.m. Time bout how many degrees did the temperature increase from 7 a.m. to 12 noon? Page 1

2 2. Which situation could best describe the graph? Time (minutes) Jamie walked for 10 minutes, rested for 10 minutes, then ran for 10 minutes. Jamie ran for 10 minutes, rested for 10 minutes, then walked for 10 minutes. Jamie walked for 10 minutes, ran for 10 minutes, then walked for 10 minutes. Jamie ran for 10 minutes, then walked for 10 minutes, then ran for 10 minutes. Page 2

3 3. Suzie weighed her new puppy once a week for two months and charted his growth on a graph Week Which statement is true about her puppy s weight changes? For Weeks 1 8, it gained about 2 pounds per week. etween Week 5 and Week 6, it gained 4 pounds. Its weight increased every week. It gained 20 pounds over the two-month period. Page 3

4 4. ubrey kept a journal to determine what part of her day was spent at school, watching TV, sleeping, and doing other activities. Which type of graph would best display and compare this information? bar graph pictograph line graph circle graph 5. The fifth-grade students in Mrs. Lindley s class made a line plot that showed the total amount of time they spent on homework for one night. 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 Minutes Mrs. Lindley s lass Spent on Homework ased on the line plot, which statement is true? The range of the data is one hour and twenty minutes. The mode of the data is one hour and twenty minutes. The mean of the data is one hour and twenty minutes. The median of the data is one hour. Page 4

5 6. ased on the table, which of the following statements is true? North arolina Population ensity ounty Population rea (in sq mi) Population ensity lamance runswick abarrus are Edgecombe 119,397 68, ,057 28,952 55, The county with the largest area has the highest density. The county with the largest area has the lowest density. The county with the smallest area has the highest density. The county with the smallest area has the lowest density. Page 5

6 7. ccording to this graph, which of the following is true about the early pioneers food resources? Food Resources For The Early Pioneers Wheat airy Farming Fishing and fruits combined would be the largest food resources. Wheat and dairy farming make up about the same amount of the food resources. Fruits provide the least amount of food resources. Vegetables and dairy farming make up the same amount of the food resources. Page 6

7 8. ccording to this diagram, how many students have more than one favorite type of book? Fantasy Favorite ook Types iography Mystery = 1 student Page 7

8 9. randon created a graph showing the amount of harvested wheat and corn in four states. States Which Produce Wheat and orn Kansas Nebraska Texas rkansas Wheat orn Which two states harvest approximately the same amount of corn? Kansas and Nebraska Kansas and rkansas Nebraska and rkansas Texas and rkansas Page 8

9 10. survey showed that 12 students in Mrs. Scott s class liked apples and bananas but not oranges, 18 students liked oranges and bananas but not apples, and five students liked only bananas. Which Venn diagram shows this? pples 12 ananas 18 5 Oranges pples & ananas 12 5 Oranges 18 pples ananas 3 9 Oranges pples ananas Oranges Page 9

10 11. Using the following Venn diagram, how many people have both dogs and cats but no rabbits? 13. Mrs. Jones recorded the following grades for the math test: 65, 100, 95, 85, and 70. What was the average (mean) for this test? OGS Kaitlin eth Tom Zack Jon TS Jo Lauren arla Kevin Wendy hris 14. fter each game the girls basketball team ate pizza. RITS Pizza Eaten by Girls asketball Team 1 person Game Slices of Pizza Eaten 3 people 4 people people What is the approximate mean of the temperatures recorded during the week of July 6? 92 F, 89 F, 90 F, 78 F, 83 F, 90 F, 88 F What is the mean number of slices of pizza eaten after each game? F 87.1 F 87.4 F 88.7 F Page 10

11 15. The following are Tom s grades in science: 80, 85, 100, 78, 90. There will be only one more test this grading period. What is the lowest grade Tom can make and still have an 85 average in the class? Marty has the following scores in math for the first marking period. 72, 93, 88, 82, 67, 82 What is the median of his scores? Page 11

12 17. Olivia has taken several tests this semester. Her grades are: 88, 94, 100, 98, 94, 95, 100 If she makes a 70 on her next test, what will be the mean of her test scores? fter science class, Stacy interviewed her classmates to find out how many rocks they had in their collections. She recorded the following data: 15, 21, 12, 8, 25, 20, 18, 15, 11, and 15. Which statement is true about Stacy s findings? The range of the data is 15. The mean of the data is 160. The median of the data is 25. The mode of the data is errick observed the water temperature in his fish tank for a science project. On the first day, it was 76 F, the second day, it was 72 F, the third day, it was 78 F, and on the fourth and fifth days, it was 74 F. What was the range of the temperature readings? 74.8 F 74 F 8 F 6 F Page 12

13 20. The cafeteria is serving French toast, cereal, and fruit. If a student may choose any two of those items plus either grape juice or orange juice, how many different breakfast combinations are possible? Richard s dog has a litter of three puppies. There is one black puppy, one tan puppy, and one white puppy. If Richard reaches into the basket and picks up two of the puppies, which of the following lists all the different combinations of puppies Richard can pick up? Max is selling candy bars. He has chocolate bars, nut bars, and mint bars. If a customer buys two bars, and the bars are not of the same type, how many different combinations are possible? black and tan, black and white, tan and white black and tan, tan and white, tan and black black and tan, black and white, white and black black and tan, white and tan, tan and black 22. Kimmie needs to give twenty cents in change but has run out of dimes. How many other ways can she make change using nickels and pennies? Page 13

14 24. Karen and Jamel spun the spinner 21 times. 25. The students in Mr. Smith s class play a game using a fair spinner. fter spinning, they record the following results: White lue Yellow 6 Green 18 Red 3 lue 9 Green Which spinner was Mr. Smith s class probably using? Which chart would be the most likely table of outcomes? Red lue Green White lue Green lue Green White Green Red lue lue Green White Red Green lue Green White lue Green Red lue Page 14

15 26. Kevin and his math group experimented with a fair spinner. 27. Joe spins this fair spinner 28 times. Red Yellow M lue Green H T The students knew that the chance of the spinner landing on any one of the colors was 1. They spun the spinner 4 20 times and recorded the results. If he spins a T 7 times, is the expected result the same as the experimental result? No, the expected result is only 4. olor Red Yellow lue Green Spins No, the expected result is only 6. Yes, the expected result is 7. Yes, the expected result is 8. Which colors best match the expected results? green only red only red and yellow only blue and yellow only Page 15

16 28. If there are 180 days in a school year, about how many more days were spent on computation than on geometry? 180 ays of Math Lessons 29. Sam has three quarters, four dimes, two nickels, and one penny in his pocket. If he reaches into his pocket and pulls out one coin, what is the probability that the coin will be worth more than a dime? 3 4 computation decimals and fractions other geometry Page 16

17 30. The bags pictured below contain red and green chips. If Jeff picks a chip at random, from which bag will he have the greatest chance of picking a red chip? 5 Red 4 Green 7 Red 8 Green 31. Mark and Mary are responsible for ordering hot dogs for their class to sell during field day. Using data from a random sample of 20 students, they found that 4 out of 20 students would buy a hot dog. ased on this data, if 100 students will be attending, about how many students can they expect to buy hot dogs? End of Goal 4 Sample Items 2 Red 1 Green In compliance with federal law, including the provisions of Title IX of the Education mendments of 1972, 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. 14 Red 15 Green Page 17

18 Goal 4 nswers to EOG Mathematics Grade 5 Sample Items 1. Objective 4.01 Interpret and construct line graphs. Thinking Skill: nalyzing orrect nswer: 2. Objective 4.01 Interpret and construct line graphs. Thinking Skill: nalyzing orrect nswer: 3. Objective 4.01 Interpret and construct line graphs. Thinking Skill: nalyzing orrect nswer: 4. Objective 4.02 Explain the kinds of decisions that need to be made in selecting and constructing appropriate graphs including pictograph, bar, line plot, circle, and line graph. Thinking Skill: nalyzing orrect nswer: 5. Objective 4.03 Systematically collect, organize, display, and interpret data both orally and in writing using information from a variety of content areas. Thinking Skill: nalyzing orrect nswer: 6. Objective 4.03 Systematically collect, organize, display, and interpret data both orally and in writing using information from a variety of content areas. Thinking Skill: nalyzing orrect nswer: 7. Objective 4.03 Systematically collect, organize, display, and interpret data both orally and in writing using information from a variety of content areas. Thinking Skill: nalyzing orrect nswer: 8. Objective 4.03 Systematically collect, organize, display, and interpret data both orally and in writing using information from a variety of content areas. Thinking Skill: nalyzing orrect nswer: 9. Objective 4.04 ompare increasingly complex displays of data, including multiple sets of data on the same graph, computer applications, and Venn diagrams. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program educational purposes only; not for personal or financial gain.

19 Goal 4 nswers to EOG Mathematics Grade 5 Sample Items 10. Objective 4.04 ompare increasingly complex displays of data, including multiple sets of data on the same graph, computer applications, and Venn diagrams. Thinking Skill: nalyzing orrect nswer: 11. Objective 4.04 ompare increasingly complex displays of data, including multiple sets of data on the same graph, computer applications, and Venn diagrams. Thinking Skill: nalyzing orrect nswer: 12. Objective 4.05 etermine the mean of a given set of data using a calculator when appropriate. Thinking Skill: pplying orrect nswer: 13. Objective 4.05 etermine the mean of a given set of data using a calculator when appropriate. Thinking Skill: pplying orrect nswer: 14. Objective 4.05 etermine the mean of a given set of data using a calculator when appropriate. Thinking Skill: pplying orrect nswer: 15. Objective 4.05 etermine the mean of a given set of data using a calculator when appropriate. Thinking Skill: nalyzing orrect nswer: 16. Objective 4.06 Use the range, median, mean and mode to describe a set of data. Thinking Skill: pplying orrect nswer: 17. Objective 4.06 Use the range, median, mean and mode to describe a set of data. Thinking Skill: pplying orrect nswer: 18. Objective 4.06 Use the range, median, mean and mode to describe a set of data. Thinking Skill: Integrating orrect nswer: 19. Objective 4.06 Use the range, median, mean and mode to describe a set of data. Thinking Skill: pplying orrect nswer: North arolina Testing Program educational purposes only; not for personal or financial gain.

20 Goal 4 nswers to EOG Mathematics Grade 5 Sample Items 20. Objective 4.07 Show all arrangements (permutations) and combinations of up to four items; list and explain all possible outcomes in a given situation. Thinking Skill: nalyzing orrect nswer: 21. Objective 4.07 Show all arrangements (permutations) and combinations of up to four items; list and explain all possible outcomes in a given situation. Thinking Skill: nalyzing orrect nswer: 22. Objective 4.07 Show all arrangements (permutations) and combinations of up to four items; list and explain all possible outcomes in a given situation. Thinking Skill: Integrating orrect nswer: 23. Objective 4.07 Show all arrangements (permutations) and combinations of up to four items; list and explain all possible outcomes in a given situation. Thinking Skill: nalyzing orrect nswer: 24. Objective 4.08 ompare experimental and theoretical (expected) results for a variety of simple experiments. Thinking Skill: nalyzing orrect nswer: 25. Objective 4.08 ompare experimental and theoretical (expected) results for a variety of simple experiments. Thinking Skill: nalyzing orrect nswer: 26. Objective 4.08 ompare experimental and theoretical (expected) results for a variety of simple experiments. Thinking Skill: nalyzing orrect nswer: 27. Objective 4.08 ompare experimental and theoretical (expected) results for a variety of simple experiments. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program educational purposes only; not for personal or financial gain.

21 Goal 4 nswers to EOG Mathematics Grade 5 Sample Items 28. Objective 4.09 Use an organized approach and appropriate strategies to solve multi-step problems involving graphing, probability, and statistics. Use calculators and computers as appropriate. Thinking Skill: Integrating orrect nswer: 29. Objective 4.09 Use an organized approach and appropriate strategies to solve multi-step problems involving graphing, probability, and statistics. Use calculators and computers as appropriate. Thinking Skill: pplying orrect nswer: 30. Objective 4.09 Use an organized approach and appropriate strategies to solve multi-step problems involving graphing, probability, and statistics. Use calculators and computers as appropriate. Thinking Skill: nalyzing orrect nswer: 31. Objective 4.09 Use an organized approach and appropriate strategies to solve multi-step problems involving graphing, probability, and statistics. Use calculators and computers as appropriate. Thinking Skill: pplying orrect nswer: North arolina Testing Program educational purposes only; not for personal or financial gain.