TAKS Short Course Objective 5

6.9(A) The student is expected to construct sample spaces using lists, and tree diagrams

1. Charlie had 1 red marble, 1 blue marble, 1 yellow marble, and 1 green marble in a bag. He picked 2 marbles at random from the bag. Which diagram shows all the possible color combinations of the 2 marbles that Charlie picked?

Red Blue

Yellow

Green

Blue Yellow

Green

Yellow Green

6.9(B) The student is expected to find the probabilities of a simple event and its complement and describe the relationship between the two.

4. Scott has 5 green marbles, 8 red marbles, 2 purple marbles, and 6 blue marbles in a container. If he draws a marble at random from the container, what is the probability that he will NOT draw a blue marble?

5 green marbles, 8 red marbles, 2 purple marbles, and 6 blue

7

5

21

15

216285

Not blue

Total marbles

5. Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is the probability that the marble will be blue?

3 red, 2 blue, 4 yellow, and 3 green

6

1

12

2

123423

WILL BE BLUE

TOTAL MARBLES

6. Jocelyn made a spinner with equal sections, as shown below.

If Jocelyn spins only one time, what is the

probability that the arrow will NOT land on a

red section of the spinner?

A B

C D

1

85

8

3

81

2

Red, red, blue, blue, white, blue, blue, red

8

5 Not red

Total colors

6.10(A) The student is expected to select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot

7. Cynthia surveyed the students at her school about their favorite month during the school year. The table below shows the results of the survey.

Which graph correctly displays the data in the table?

8. The table shows the gross income of 5 of the highest-grossing U.S. movies from 1982 to 1996.

Which graphmost accuratelydisplays theinformation inthe table?

9. Terrance created a graph to show the number of hours he plans to work on his science project each day next week.

Which table best represents thesame information as the graph?

6.10(B) The student is expected to identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data

10. Mr. Franks recorded these mathematics test scores of his sixth-grade students.

67, 69, 71, 73, 74, 75, 79, 81, 81, 82, 83, 87, 88, 88, 88, 88, 90, 91, 93, 95, 99, 100

What is the median of these test scores?

67, 69, 71, 73, 74, 75, 79, 81, 81, 82, 83, 87, 88, 88, 88, 88, 90, 91,

93, 95, 99, 100

85

852

170

1708783

Is the median

11. There are 6 children in Todd’s family, including Todd. Their ages in years are listed below.

1, 2, 2, 8, 9, 14

What is the median of the children’s ages?

A) 6 B) 5

C) 2 D) 13

1, 2, 2, 8, 9, 14

median5

52

10

1082

12. The Q&R Band performed concerts from 1992 to 2001. The table shows the number of concerts the band performed each year.

What is the median of the number of concerts?

142,162,162,168, 168,172,172, 180,180,180,

170

1702

340

340172168

Is the median

6.10(C) The student is expected to sketch circle graphs to display data;

13. Of the 100 people An Li surveyed about their favorite sport, 45 said football, 30 said wrestling, 20 said baseball, and 5 said basketball. Which circle graph best displays the data?

45 said football, 30 said wrestling, 20 said baseball, and 5 said basketball

14. At Central City Music Store, 15% of the music sold is classical, 20% is blues, 25% is rock, and 40% is country. Which graph best represents these data?

15% of the music sold is classical, 20% is blues, 25% is rock, and 40% is country

15. Angela receives a $20.00 allowance each week. She spends $4.00 on art supplies, $6.00 on movies, and $7.50 on school lunches, and she puts $2.50 into savings. Which graph best represents Angela’s allowance?

%5.1220$

50.2$

%5.3720$

50.7$

%3020$

6$

%2020$

4$

6.10(D) The student is expected to solve problems by collecting, organizing, displaying, and interpreting data.

16. The line plot shows the homework grades of the students in Mrs. Smith’s class. Which statement is supported by the information in the line plot?

A The same number of students received a B as received a D.

B Eighteen students received a C or higher.

C The same number of students received a D or an F as received an A or a B.

D Sixteen students received a C or lower.

A The same number of students received a B as received a D. B=6 D =4 B Eighteen students received a C or higher.C= 9 B = 6 A = 3 9+6+3= 18C The same number of students received a D or an F as received an A or a B. D or F = 6 A or B = 9D Sixteen students received a C or lower. C=9 B= 6 A= 3 = 18

3 6 9 4 2

A More than 25% of the students were born in either January or March.B The second half of the year had fewer births than the first half.C May was the birth month for 30 students.D The same number of births per month occurred in February, October, and

November.

17. Apollo Middle School collected the following data from students. Which statement is supported by the graph?

B) The second half of the year had fewer births than the first half.Jan-June =203 birthsJuly- December = 138 births

Which statement is best supported by the information in the graph?

A Dee walked more miles each day than Ella did.B Ella walked more miles in all than Dee did on these 4 days.C Dee and Ella walked more than 15 miles each on these 4

days.D Ella walked 0.5 mile farther than Dee each day.

18. Dee and Ella kept track of the miles they hiked over 4 days, as shown in the graph below.

18. Dee and Ella kept track of the miles they hiked over 4 days, as shown in the graph below.

B) Ella walked more miles in all than Dee did on these 4 days.

Ella = 10.5 mileDee = 10 miles