1. (6.5, 6.6) Use pencil and paper to answer the question. One survey reported favorite types of books for fifth graders. The results of the survey were as follows: adventure books: 37% mystery books: 30% comedies: 23% other: 10% a. Which of the following bar graphs best represents the survey results? b. If 100 students answered the survey, how many of them chose comedies? c. If 10 students answered the survey, how many of them chose mysteries? d. If 50 students answered the survey, how many of them chose other? e. If you were trying to decide what kinds of books to buy for the library in your town, how many fifth graders would you interview? Explain why you chose that number. Powered by Cognero Page 1
a. Graph 1 b. 23 c. 3 d. 5 e. interview at least 100, but more if I could. The larger the sample, the better my data would represent the kinds of books most 5th graders would want to read. 2. (6.1) A survey reported favorite movies for fifth graders. The results of the survey were as follows: 38% Comedy 30% Science Fiction 22% Adventure 10% Other If 50 students answered the survey, how many of them chose science fiction movies? 15 3. (6.1) What is the median? a. The smallest value b. The middle value c. The largest value d. The most frequent value b 4. (6.1) What is the maximum? a. The smallest value b. The middle value c. The largest value d. The most frequent value c Powered by Cognero Page 2
5. (6.1) What is the mode? a. The smallest value b. The middle value c. The largest value d. The most frequent value d 6. (6.1) What is the minimum? a. The smallest value b. The middle value c. The largest value d. The most frequent value a 7. (6.2, 6.3) Use pencil and paper to answer the question. Bianca asked 9 girls in her fifth-grade class how many sports they like to play. Here are the results of her survey: 4 7 1 8 7 5 0 3 7 a. What was the median number of sports played? b. Bianca concluded: The typical fifth grader likes about 7 sports. Do you agree with her conclusion? Explain. c. Describe two ways Bianca could improve her survey. a. 5 b. conclusion applies to both boys and girls, but Bianca only asked girls in her survey. Bianca used the mode to make her conclusion. For such a small data set, Bianca should use the mean or median to get a more accurate conclusion. c. Sample answer: Bianca should ask more students. She should ask both boys and girls. Powered by Cognero Page 3
8. (6.8) Use pencil and paper to answer the question. Add. or 9. (6.8, 6.9, 6.10) Use pencil and paper to answer the question. Add or subtract. a. b. c. d. e. f. g. h. a. or b. c. or d. e. f., or g. h. or Powered by Cognero Page 4
10. (6.8, 6.9, 6.10) Subtract. 1/6 11. (6.8, 6.9, 6.10) Subtract. 2/8 or 12. (6.8, 6.9, 6.10) Add. 11/12 13. (6.8, 6.9, 6.10) Subtract. 1/6 14. (6.8, 6.9, 6.10) Use pencil and paper to answer the question. Add. or Powered by Cognero Page 5
15. (6.8, 6.9, 6.10) Use pencil and paper to answer the question. Subtract. 16. (6.8, 6.9, 6.10) Use pencil and paper to answer the question. Add. or 17. (6.8) Use pencil and paper to answer the question. What is the fraction pair represented by the drawing below? and Powered by Cognero Page 6
18. (6.8) Use pencil and paper to answer the question. Write a pair of fractions with common denominators for the drawing below. and 19. (6.4, 6.7) Anna is writing a report on eating habits, sleep, and dreams. She gave a survey to the students in her class. Which question best goes with the graph shown below? a. About how many snacks do you eat between your evening meal and bedtime? b. About how many hours do you sleep each night? c. About what time do you usually eat your evening meal? d. About how many dreams do you remember having in an average week? a Powered by Cognero Page 7
20. (6.4) Use pencil and paper to answer the question. Find the median and mode of the stem-and-leaf plot below. Median = Mode = Stems Leaves (10s) (1s) 1 3 5 6 7 9 2 0 1 4 4 6 7 8 3 0 1 5 median: 24 mode: 24 21. Use pencil and paper to answer the question. Find the median and mode of each stem-and-leaf plot below. a. StemsLeaves (10s) (1s) b. Stems Leaves (10s) (1s) 1 1 8 9 1 3 4 7 8 9 2 0 2 6 8 8 8 9 2 0 1 4 6 7 7 8 3 0 3 1 3 4 median: median: mode: mode: a. median: 26 b. median: 24 mode: 28 mode: 27 22. Use pencil and paper to answer the question. Quentin's class made these estimates for the number of jellybeans in a jar: 140, 156, 136, 149, 145, 159,106, 125, 152, 192, 145, 131, 129, 145, 125, 122, 143, 193 Stems Leaves (100s and 10s) (1s) 10 6 Powered by Cognero Page 8
12 2 5 9 13 1 6 14 0 3 5 9 15 2 6 9 19 2 3 a. Explain the mistake in the stem-and-leaf plot for the jellybean estimates. b. Create a new stem-and-leaf plot to make the stem-and-leaf plot correct. a. Sample answer: 125 appears only once, and it should appear 2 times. 145 appears once, and it should appear 3 times. b. Sample answer: Stems Leaves (100s and 10s) (1s) 10 6 12 2 5 5 9 13 1 6 14 0 3 5 5 5 9 15 2 6 9 19 2 3 Powered by Cognero Page 9
23. Use pencil and paper to answer the question. a. Use your ruler to draw a line segment that is in. long. b. If you erased inch from this line segment, how long would it be? c. If you drew a line segment twice as long as the original line, how long would it be? a. A line segment should be drawn that is inches long. b. inches c. or inches Powered by Cognero Page 10
24. Use pencil and paper to answer the question. One survey reported favorite types of books for fifth graders. The results of the survey were as follows: adventure books: 38% mystery books: 32% comedies: 23% other: 7% a. Which of the following bar graphs best represents the survey results? b. If you were trying to decide what kinds of books to buy for the library in your town, how many fifth graders would you interview? Explain why you chose that number. a. Graph 2 b. interview at least 100, but more if I could. The larger the sample, the better my data would represent the kinds of books most 5th graders would want to read. Powered by Cognero Page 11
25. Use pencil and paper to answer the question. Explain how you would use the multiplication rule to find the common denominator for the given fraction pair: and _ SAMPLE Multiply the denominators, 5 times 6, to get the common denominator of 30. 26. Use pencil and paper to answer the question. Explain one way to rename as a percent without using a calculator. SAMPLE Rewrite as, or., or = 80%, so = 80%. Powered by Cognero Page 12
27. Use pencil and paper to answer the question. Mean Age Imagine a family of seven people. Pretend you are one of the 7 people in the family. The average age of this family is 22 years. a. List the ages of all seven people in the family. Describe the relationship each of the imaginary family members has to you - for example, my mom, my younger sister, etc. b. Explain how you used the mean to find the ages of the family members. a. Sample answer: my father: 45 me: 10 my mother: 40 my younger sister: 9 my older brother: 22 my younger brother: 7 my older sister: 21 b. Sample answer: I multiplied the mean (average), 22, by the number of people, 7, in the family to find the sum of the ages of each family member. Then I chose ages for each member and added the ages. I made changes to the ages until I got the correct sum. Powered by Cognero Page 13