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Compound Probability Percents and Proportions Misuse of Graphs Problem Solving Final Jeopardy Jeopardy Board

BoardAnswer Probability of Compound Events 100 At Reyna High School 50% of the students eat lunch in the school cafeteria. In the same school 10% of the students participate in sports. What is the probability that a student selected at random eats in the school cafeteria and participates in sports? FH G J

Board Probability of Compound Events 100 At Reyna High School 50% of the students eat lunch in the school cafeteria. In the same school 10% of the students participate in sports. What is the probability that a student selected at random eats in the school cafeteria and participates in sports? FH G J

BoardAnswer Probability of Compound Events 200 Jared has a white cube and a red cube. The surfaces of each cube are numbered with a unique number from 1 to 6. If Jared tosses the cubes, what is the probability he will get a 4 on the white cube and an odd number on the red cube? AC BD

Board Probability of Compound Events 200 Jared has a white cube and a red cube. The surfaces of each cube are numbered with a unique number from 1 to 6. If Jared tosses the cubes, what is the probability he will get a 4 on the white cube and an odd number on the red cube? AC BD

BoardAnswer Probability of Compound Events 300 In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. List all of the possible ways these three people can sit in the row

Board Probability of Compound Events 300 In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. List all of the possible ways these three people can sit in the row One possibility: They could sit junior, sophomore, sophomore Second possibility: They could sit junior, sophomore, sophomore Why are these different? The sophomores are two different people I will write the first answer J, S1, S2 I will write the second answer J, S2, S1 How many more? S2, J, S1;S1, J, S2; S1, S2, J;S2, S1, J There are six ways to sit these three people 3  2  1 = 6

BoardAnswer Probability of Compound Events 400 In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. What is the probability that the 2 sophomores are seated next to each other? FH G J

In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. What is the probability that the 2 sophomores are seated next to each other? FH G J Board Probability of Compound Events 400 J, S1, S2 J, S2, S1 S2, J, S1 S1, J, S2 S1, S2, J S2, S1, J 4 out of 6 times two sophomores sat next to each other

BoardAnswer Probability of Compound Events 500 Jamal has a game with 2 groups of tiles. The first group of 26 tiles is labeled with all the letters of the alphabet. The second group of 10 tiles is numbered 0 through 9. If Jamal draws 1 letter tile and 1 number tile at random, what is the probability that he will draw a letter in his name and an odd number? FH GJ

Board Probability of Compound Events 500 Jamal has a game with 2 groups of tiles. The first group of 26 tiles is labeled with all the letters of the alphabet. The second group of 10 tiles is numbered 0 through 9. If Jamal draws 1 letter tile and 1 number tile at random, what is the probability that he will draw a letter in his name and an odd number? FH GJ Trick Question, how many different letters in his name? 1, 3, 5, 7, OR, 9

BoardAnswer Percents and Proportions 100 Two race cars travel at constant speeds in the same direction around a track. The faster car travels 186 miles per hour and completes 50 laps each time the slower car completes 47.6 laps. Which is a reasonable estimate of the slower driver’s speed?

Board Percents and Proportions 100 Two race cars travel at constant speeds in the same direction around a track. The faster car travels 186 miles per hour and completes 50 laps each time the slower car completes 47.6 laps. Which is a reasonable estimate of the slower driver’s speed? A Between 180 mph and 185 mph BBetween 175 mph and 180 mph C Between 145 mph and 150 mph D Between 135 mph and 140 mph 47.6 x 50x = x =

BoardAnswer Percents and Proportions 200 Antonio works 40 hours per week at Electronics Warehouse. He earns $6.50 per hour plus a 3% commission on the total dollar value of the service contracts he sells. If Antonio’s hourly rate were increased by $0.15 and his commission were raised to 5%, how much would he earn if he sold $4000 worth of service contracts for the week?

Board Percents and Proportions 200 Antonio works 40 hours per week at Electronics Warehouse. He earns $6.50 per hour plus a 3% commission on the total dollar value of the service contracts he sells. If Antonio’s hourly rate were increased by $0.15 and his commission were raised to 5%, how much would he earn if he sold $4000 worth of service contracts for the week? A $ B $ C$ D $ Earns $6.65 per hour for 40 hours 5% commission on $4000 Total?

BoardAnswer Percents and Proportions 300 Of the 32 students in Mrs. Zane’s class, 25% have brown hair. Of the remaining students, 12.5% have red hair. How many students in Mrs. Zane’s class have red hair?

Board Percents and Proportions 300 Of the 32 students in Mrs. Zane’s class, 25% have brown hair. Of the remaining students, 12.5% have red hair. How many students in Mrs. Zane’s class have red hair? A3 B 4 C 21 D Not here 25% of 32 students have brown hair Remaining students (don’t have brown hair) 12.5% of 24 student have red hair

BoardAnswer Percents and Proportions 400 Mr. Salinas, a real estate agent, received a 5% commission on the selling price of a house. If his commission was $6,975, what was the selling price of the house?

Board Percents and Proportions 400 Mr. Salinas, a real estate agent, received a 5% commission on the selling price of a house. If his commission was $6,975, what was the selling price of the house? F $7,342 G $34,875 H $139,500 J $662,625 5% commission on $10,000 = _____________ 5% commission on $25,000 = _____________ 5% commission on $140,000 = _____________ 5% commission on _________ = $ x = $ x = 139,500

BoardAnswer Percents and Proportions 500 Olivero is choosing between two brands of AAA batteries for his graphing calculator. A package of three Brand M batteries costs $5.50, and a package of three Brand P batteries costs $3.85. What percent of the cost of Brand M batteries did Olivero save by buying a package of Brand P batteries?

Board Percents and Proportions 500 Olivero is choosing between two brands of AAA batteries for his graphing calculator. A package of three Brand M batteries costs $5.50, and a package of three Brand P batteries costs $3.85. What percent of the cost of Brand M batteries did Olivero save by buying a package of Brand P batteries? F 17% G30% H 43% J 70% To find a percent think of the words “out of” Saved _______ “out of” __________ $1.65 $5.50

BoardAnswer Misuse of Graphs 100 The table shows the results of a survey given to 450 graduating seniors about their educational plans after high school. Based on these data, which of the following statements is true? A 63 students have no future educational plans. B More students plan to attend a community college or technical school than plan to attend a university. C 44 students plan to attend a university. D Fewer than one-fourth of the students plan to attend a community college. Educational Plans InstitutionPercent University44 Comm. Coll.26 Tech.School16 Undecided14

A 63 students have no future educational plans. B More students plan to attend a community college or technical school than plan to attend a university. C 44 students plan to attend a university. D Fewer than one-fourth of the students plan to attend a community college. The table shows the results of a survey given to 450 graduating seniors about their educational plans after high school. Based on these data, which of the following statements is true? Board Misuse of Graphs 100 Educational Plans InstitutionPercent University44 Comm. Coll.26 Tech.School16 Undecided14 Fewer than one-fourth means fewer than 25%  44 % plan to attend  26% + 16% = 42% 42% < 44%  14%  450  0.14  450 = 63

BoardAnswer Misuse of Graphs 200 The graph below shows the amount of time Dennis spent studying over a 2-week period in October. Which of the following statements would be an invalid conclusion for these data? F Dennis spent a total of 660 minutes studying. G Dennis studied for an average of about 47 minutes/day. H Dennis studied for an average of 330 minutes per week. JDennis earned good grades during this 2-week period.

The graph below shows the amount of time Dennis spent studying over a 2-week period in October. Which of the following statements would be an invalid conclusion for these data? F Dennis spent a total of 660 minutes studying. G Dennis studied for an average of about 47 minutes/day. H Dennis studied for an average of 330 minutes per week. JDennis earned good grades during this 2-week period. Board Misuse of Graphs 200

BoardAnswer Misuse of Graphs 300 The table below shows the population and the area in square miles of some U.S. states. Which statement best describes the relationship between the population and the area of a state? A The larger a state’s area, the larger its population is. BNo relationship can be determined from the data in the table. C New Jersey has the smallest population of the states in the table because it has the smallest area. D Texas is the largest U.S. state.

The table below shows the population and the area in square miles of some U.S. states. Which statement best describes the relationship between the population and the area of a state? A The larger a state’s area, the larger its population is. BNo relationship can be determined from the data in the table. C New Jersey has the smallest population of the states in the table because it has the smallest area. D Texas is the largest U.S. state. Board Misuse of Graphs 300

BoardAnswer Misuse of Graphs 400 The table below shows the cost of fertilizer, depending on the amount purchased. Which conclusion can be made based on information in the table? A The cost of 10 pounds of fertilizer would be more than $4.00. BThe cost of 200 pounds of fertilizer would be less than $ C The cost of fertilizer is always more than $0.35 per pound. D The cost of fertilizer is always less than $0.30 per pound.

Board Misuse of Graphs 400 The table below shows the cost of fertilizer, depending on the amount purchased. Which conclusion can be made based on information in the table? A The cost of 10 pounds of fertilizer would be more than $4.00. BThe cost of 200 pounds of fertilizer would be less than $ C The cost of fertilizer is always more than $0.35 per pound. D The cost of fertilizer is always less than $0.30 per pound.

BoardAnswer Misuse of Graphs 500 Which conclusion can be made from the table? A The unemployment rate continuously increased over these 5 years. B The unemployment rate for the sixth year is 4.1%. C Employers hired the most people in the third year. DThe unemployment rate averaged more than 4% over these 5 years. The table below shows the yearly unemployment rates of a city over a 5-year period.

Board Misuse of Graphs 500 The table below shows the yearly unemployment rates of a city over a 5-year period. Which conclusion can be made from the table? A The unemployment rate continuously increased over these 5 years. B The unemployment rate for the sixth year is 4.1%. C Employers hired the most people in the third year. DThe unemployment rate averaged more than 4% over these 5 years.

BoardAnswer Problem Solving 100 Sean is an Algebra I student who believes that xy 2 = (xy) 2. Rudy informs Sean that this theory is not always true. Which pair of values for x and y could Rudy use to disprove Sean’s theory? F x = 0 and y = 2 G x = 1 and y = 2 H x = 2 and y = 0 Jx = 2 and y = 1

Sean is an Algebra I student who believes that xy 2 = (xy) 2. Rudy informs Sean that this theory is not always true. Which pair of values for x and y could Rudy use to disprove Sean’s theory? F x = 0 and y = 2 G x = 1 and y = 2 H x = 2 and y = 0 Jx = 2 and y = 1 Board Problem Solving 100 Test the answers, which one is wrong? 0  2 2 = (0  2) 2  0 = 0 1  2 2 = (1  2) 2  4 = 4 2  0 2 = (2  0) 2  0 = 0 2  1 2 ≠ (2  1) 2  2 ≠ 4 

BoardAnswer Problem Solving 200 Which statement about the triangles below is true? F All the triangles are scalene. G All the triangles are equiangular. H All the triangles are equilateral. JAll the triangles are isosceles.

F All the triangles are scalene. G All the triangles are equiangular. H All the triangles are equilateral. JAll the triangles are isosceles. Board Problem Solving 200 Which statement about the triangles below is true? No sides equal All angles equal All sides equal Has to be equiangular At least two sides equal

BoardAnswer Problem Solving 300 Given: Two angles are supplementary. The measure of one angle is 20° more than the measure of the other angle. Conclusion: The measures of the angles are 70° and 90°. This conclusion — F is contradicted by the first statement given G is verified by the first statement given H invalidates itself because a 90° angle cannot be supplementary to another J verifies itself because 90° is 20° more than 70°

Board Problem Solving 300 Given: Two angles are supplementary. The measure of one angle is 20° more than the measure of the other angle. Conclusion: The measures of the angles are 70° and 90°. This conclusion — F is contradicted by the first statement given G is verified by the first statement given H invalidates itself because a 90° angle cannot be supplementary to another J verifies itself because 90° is 20° more than 70° Supplementary angles add up to 180°

BoardAnswer Problem Solving 400 Lisa has a circular piece of cardboard (CB) with a 10- inch diameter. She wants to cut a 10-inch-by-2-inch rectangle from the circle. She also wants to cut 10 square pieces that are 1 inch on each side. Which information makes this scenario impossible? F There will be no CB left after the rect. has been cut. G A 10-inch-long rect. can’t be cut from the round CB H Squares cannot be cut from the circle. J There will not be enough CB to cut all the 1-inch- square pieces indicated.

Board Problem Solving 400 Lisa has a circular piece of cardboard (CB) with a 10- inch diameter. She wants to cut a 10-inch-by-2-inch rectangle from the circle. She also wants to cut 10 square pieces that are 1 inch on each side. Which information makes this scenario impossible? F There will be no CB left after the rect. has been cut. G A 10-inch-long rect. can’t be cut from the round CB H Squares cannot be cut from the circle. J There will not be enough CB to cut all the 1-inch- square pieces indicated. 10 in diameter 10 in by 2 in rectangle

and intersect at a point Q that is between F and G and between J and K. Which statement must be true? F Points F, G, J, and K are collinear. G H J BoardAnswer Problem Solving 500

and intersect at a point Q that is between F and G and between J and K. Which statement must be true? F Points F, G, J, and K are collinear. G H J Problem Solving 500 Board F G J K Q All on same line Perpendicular - 90° angle KQF > 90° while FQJ < 90° Vertical angles ARE equal

Final Jeopardy Category Board

Final Jeopardy Question Answer Amber is making a patchwork quilt using 3 different types of fabric. Each type of fabric is cut into rectangles. The first fabric is cut into pieces measuring 3 inches by 5 inches. The dimensions of the rectangles of the second type of fabric are 125% those of the first type, and the dimensions of the third type of fabric are 125% those of the second. What are the approximate dimensions of the third type of fabric?

Board Final Jeopardy Answer Amber is making a patchwork quilt using 3 different types of fabric. Each type of fabric is cut into rectangles. The first fabric is cut into pieces measuring 3 inches by 5 inches. The dimensions of the rectangles of the second type of fabric are 125% those of the first type, and the dimensions of the third type of fabric are 125% those of the second. What are the approximate dimensions of the third type of fabric? A 3.75 in. by 6.25 in. B4.69 in. by 7.81 in. C 5.50 in. by 7.50 in. D 4.25 in. by 6.25 in. 5 in 3 in  in 3.75 in  in 4.69 in