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1. Mr. Mize has 3 pairs of shoes, 4 pairs of pants, and 5 shirts. How many outfits can he make? 2. How many ways can you re-arrange the letters in the word, "DESIGN"? Consider the probability tree diagram for the next 2 questions. R - Red, Red R. B -Red, Blue R -Blue, Red B B - Blue, Blue 3. A bag contains 8 red and 6 blue marbles. One marble is selected at random and placed back into the bag. Then, a second marble is drawn. What is the probability that the first marble is red and the second marble blue? 4. Same scenario from question 3; however, after the first selection, the marble is NOT placed back into the bag. What is the probability that both marbles are blue? Consider the following 2 way table for the next 2 questions. What is Your Favorite Sport to Watch on Television? Football Basketball Baseball Total Males 40 22 15 77 Females 12 16 45 73 Total 52 38 60 150 5. What is the probability that someone prefers watching football? 6. What is the probability of choosing a male from this group? Page 1 of 27. A spinner attached to the center of the circle is spun. What is the probability the spinner lands in a shaded region? 680 920 r= 0.5 ft. 8. A dart is thrown at the square shown below. What is the probability the dart lands in section C? 6 in. 6 in. A 9in. B 12 in. 9. What is the probability that a point chosen at random is from the shaded region? 10 20 10. A circle with diameter 8 cm is inscribed in a square. What is the probability a point chosen at random is from the shaded area? Page 2 of 21( 902 ) 1. A company that manufactures paint cans designed a can that has a radius of 3 inches and a volume of 83 cubic inches. For a new can design, the company plans to double the dimensions of the previous can. How will the change affect the volume of the new can? A. The volume will be multiplied by a factor of 2. B. The volume will be multiplied by a factor of 3. C. The volume will be multiplied by a factor of 4. D. The volume will be multiplied by a factor of 8. 2. A family is purchasing concrete in order to create a foundation for a rectangular outdoor patio. The rectangular patio is to be 15 feet wide and 17 feet long. To meet specifications, the concrete must be poured to a depth of 0.5 feet. How many cubic feet of concrete will it take to construct the patio? F. 1530 cubic feet G. 127.5 cubic feet H. 765 cubic feet J. 64 cubic feet 3. What is the volume of the pyramid to the right? A. 200 ft3 8 ft B. 105 ft3 C. 66.7 ft3 D. 35 ft 3 5 ft 5 ft Page 3 of 64. A cardboard tube in the shape of a cylinder is used to make a roll of paper. Tube How much cardboard is needed to make the tube if it has a diameter 4.5 cm and is 24 cm long? F. 339 cm G. 679 cm H. 371 cm J. 382 cm2 5. A spherical ornament is placed into a cubic box for shipping so that its surface touches each of the faces of the box, as shown in the diagram below. The remaining volume that is not taken up by the spherical ornament is to be filled with a special packing material. If the radius of the spherical ornament is 4 cm, about how much space is left in the box to be filled with packing material? A. 310.9 cm3 B. 268.1 cm3 C. 256.0 cm3 D. 243.9 cm3 Page 4 of 66. The table below shows information about 2 similar pyramids. Pyramid A Pyramid B Height (in.) 4 20 Volume (in3) 12 ? What is the volume of pyramid B? F. 60 in3 G. 1500 in3 H. 300 in 3 J. 180 in3 7. Find the surface area of the cone to the right. A. 173.4 in of 3 feet, hoy 9.8 in B. 447.4 in2 C. 324.2 in2 D. 296.6 in2 8. A basketball has a circumference of 29.5 inches. How much material ("skin") makes up the basketball? F. 433.5 in2 G. 1,108 in2 H. 3,468.1 in2 J. 277 in2 Page 5 of