2003 Exit 13) Use the information in each diagram to find the pair of similar polygons. A B C D

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1 2003 Exit 9) Use the ruler on the Mathematics hart to measure the dimensions of the composite figure to the nearest tenth of a centimeter. Which best represents the approximate area of this composite figure? 34.7 cm cm cm cm Exit 13) Use the information in each diagram to find the pair of similar polygons.

2 2003 Exit 33) rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are all changed to dm 3 4 dm 3 6 dm 3 12 dm 3 their original size, what will be the new volume of the rectangular solid? 2003 Exit 32) triangle with vertices (1, 2), (5, 2), and (3, 2) is shown to the right. Which triangle below is similar to the figure above?

3 2003 Exit 39) In El Paso, Texas, the streets named ercules venue, ondo Pass rive, and Trans Mountain Road are parallel. They all intersect yer Street and U.S. Route 54, as shown on the map below. If all of these streets are straight line segments, how long is yer Street between ercules venue and Trans Mountain Road? 8,450 ft 9,900 ft 13,200 ft 19,800 ft 2003 Exit 41) The total area of trapezoid is 52 square inches. What is the approximate length of? 8.0 in. 8.5 in in in Exit 42) Oatmeal is packaged in a cylindrical container with the dimensions shown in the drawing. ind the approximate volume of this oatmeal container. 471 cm cm cm cm 3 18 centemeters

4 2004 Exit 6) Which set of dimensions corresponds to a rectangular prism similar to the one shown below? 2 units by 3 units by 4 units 4 units by 2 units by 8 units 2 units by 1 unit by 6 units 4 units by 3 units by 6 units 2004 Exit 23) rectangle has a length of 4 feet and a perimeter of 14 feet. What is the perimeter of a similar rectangle with a width of 9 feet? 36 ft 42 ft 108 ft 126 ft 2004 Exit 25) Kim walked diagonally across a rectangular field that measured 100 feet by 240 feet. Which expression could be used to determine how far Kim walked? 2( ) x (100 ) + (240 ) 2004 Exit 26) If the surface area of a cube is increased by a factor of 4, what is the change in the length of the sides of the cube? The length is 2 times the original length. The length is 4 times the original length. The length is 6 times the original length. The length is 8 times the original length.

5 2004 Exit 43) What is the area of the unshaded part of the rectangle below? 19,000 ft 2 45,000 ft 2 28,000 ft 2 26,000 ft Exit 51) bout how many feet of fencing are needed to enclose a rectangular garden with a 30-footlong side and a 40-foot-long diagonal? 113 ft 133 ft 140 ft 160 ft 2004 Exit 52) frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. What is the approximate length of the arc of the section containing peas? 3 in. 21 in. 16 in. 5 in Summer Exit 4) The shaded area in the circle below represents the section of a park used by the chamber of commerce for a fund-raising event. What is the approximate area of the section of the park used for the fund-raiser? 339 square feet 1,357 square feet 4,071 square feet 12,214 square feet

6 2004 Summer Exit 9) Which statement best describes why pentagon PQRST is similar to pentagon VWXYZ? The ratio of the length of PT to YZ equals the ratio of the length of RS to WV. oth pentagons have corresponding right angles. Pentagon VWXYZ is the result of a translation of pentagon PQRST. The ratio of the corresponding sides of pentagons PQRST and VWXYZ is 2: Summer Exit 25) The map below shows 2 different routes Ms. entsen can take to drive to the airport from her house. ow many miles could Ms. entsen save by traveling on irport Road instead of Mountain ighway and Oak Road to get to the airport? 20 mi 30 mi 35 mi 60 mi 2004 Summer Exit 30) company plans to design a new version of its Millennium oll that will be larger than the old version. The figure below shows the dimensions of the box for the old version of the doll. If all the dimensions of the box are increased by 2 inches for the new doll, what will be the total surface area of the new box? 496 in in in in. 2

7 2004 Summer Exit 33) In STR, QP and TR are parallel. If SQ = 6 units, QT = 24 units, and the perimeter of SQP is 20 units, what is the perimeter of STR? 80 units 100 units 320 units 500 units 2004 Summer Exit 41) What is the area of the square in the figure below? 5.2 square units 6.7 square units 27 square units 45 square units 2004 Summer Exit 46) circle with a diameter of 10 centimeters is to be cut out from a square piece of paper that measures 10 centimeters on each side, as shown below. Which is closest to the amount of paper that will be left over after the circle is cut out? 9 cm 2 21 cm 2 25 cm 2 69 cm 2

8 2005 October Exit 18) The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3 centimeters longer, about how much greater is its surface area, to the nearest square centimeter? 37 cm cm 2 1,923 cm 2 24,542 cm October Exit 32) randon wants to reduce a figure that is 9 inches tall and 16 inches wide so that it will fit on a 9-inch-by-12-inch piece of paper. If he reduces the figure proportionally, what is the maximum size the reduced figure could measure? 12 inches by inches 9 inches by 12 inches 5 1 inches by 9 inches inches by 12 inches 2005 October Exit 35) What is the approximate length of PQ? 13 cm 98 cm 94 cm 7 cm 2005 October Exit 40) The figure below shows three right triangles joined at their right-angle vertices to form a triangular pyramid. Which of the following is closest to the length of XZ? 7 inches 20 inches 12 inches 9 inches

9 2005 October Exit 41) Mr. Martínez bought a solid-glass globe with a stand, as shown in the diagram below. If the diameter of the globe is 7 centimeters, which is closest to the volume of glass in the globe? 51 cm cm cm cm October Exit 44) The figure below shows the dimensions of a section of Mr. reen s garden that he will use for planting flowers. What is the area of Mr. reen s garden that he will use for planting flowers? 42 ft 2 30 ft 2 39 ft 2 24 ft October Exit 47) In the figure below, QNM ~ PQN, and NM = 12.5 centimeters. What is the area of PQN? cm cm cm cm ebruary Exit

10 7) Mrs. Wong has a bookcase shaped like an isosceles trapezoid. The height of the bookcase is approximately 150 centimeters. The other dimensions are shown below. Which of the following is closest to the surface area of the top, left, and right rectangular sides of Mrs. Wong s bookcase? 11,000 cm 2 22,000 cm 2 36,000 cm 2 9,000 cm ebruary Exit 14) Troy used chalk to outline a triangular plot of land in his backyard. The plot of land has a perimeter of 26 feet, with its longest side measuring 8 feet 10 inches. Troy wants to outline a second triangular plot of land similar to the first but with a perimeter of 42 feet. Which of these is closest to the measure of the longest side of the second triangular plot of land? 17 ft 2 in. 13 ft 1 in. 14 ft 3 in. 17 ft 11 in ebruary Exit 16) Mr. Krueger attended an event at the ood Time Sports rena. The arena is in the shape of a circle with a radius of 200 feet. e parked his car in the lot at point S, which is 250 feet away from the entrance at point. Mr. Krueger left the arena through the exit at point and walked a straight-line path to his parked car. bout how far away was his parked car from the exit at point? 200 ft 403 ft 492 ft 650 ft

11 2006 ebruary Exit 30) parallelogram is graphed on the grid. Which set of coordinates identifies the vertices of a similar figure? ( 2, 1), ( 4, 1), ( 3, 6), ( 5, 6) (0, 2), (0, 5), (8, 1), (8, 2) (1, 2), (1, 6), (9, 6), (9, 10) ( 1, 1), (0, 3), (2, 1), (3, 3) 2006 ebruary Exit 32) What is the volume of a similar rectangular box with dimensions that are 3.5 times larger than the dimensions of the rectangular box shown below? 5,880 in. 3 17,836 in. 3 20,580 in. 3 1,680 in ebruary Exit 47) Linda has divided her garden into 3 parts, as shown below. What is the area of her garden? 1005 ft ft ft ft 2

12 2006 ebruary Exit 56) building-trades class built a circular spinner for the school carnival. The spinner has a diameter of 48 inches and is divided into 12 congruent sectors. What is the approximate area of each of the sectors on this spinner? 603 in in in in Exit 2) WXY is isosceles. WY is 10 centimeters long. ind the length of XZ. 5 cm 10 cm 12 cm 13 cm 2006 Exit 3) Mr. Kelly s company manufactures a cylindrical soup can that has a diameter of 6 inches and a volume of 226 in 3. If the diameter stays the same and the height is doubled, what will happen to the can s volume? It will remain the same. It will double. It will triple. It will quadruple.

13 2006 Exit 20) ackie made a rectangular prism to hold her earrings. The net of the rectangular prism is shown below. Use the ruler on the Mathematics hart to measure the dimensions of the rectangular prism to the nearest 1 4 inch. Which is closest to the volume of this rectangular prism? 4 in in in in Exit 22) diagram of a power/volume control knob on a stereo is shown below. When the stereo is turned on and the knob is turned to a volume level of 5, the knob is rotated 100 from its off position. What is the approximate arc length of the path traveled by the knob s rotation from the off position to a volume level of 5? 545 mm 157 mm 22 mm 44 mm Exit 27) enry built a wooden storage shed in the shape of a rectangular prism for his tools. The figure below shows the dimensions of the storage shed. If enry plans to paint only the top, front, left, and right sides of his shed, which is closest to the surface area that will be painted? 121 ft ft ft 2 91 ft 2

14 2006 Exit 35) The figure below shows a in its rectangular storage case. Which is closest to the area of the storage case not occupied by the? 55 cm 2 46 cm 2 51 cm 2 60 cm Exit 51) In the figures below, KM ~ RTV, and the area of KM is equal to 10 square units. What is the area of RTV? square units 7.5 square units square units 1.25 square units 2006 Summer Exit 6) The drama department at Mcenry igh School has built a stage floor in the shape of a regular octagon. The length of each side of the octagon is 4 yards. is the apothem. What is the approximate area of the stage floor? 57.9 yd yd yd yd 2 [rea = 1 2 (apothem)(perimeter)] 2006 Summer Exit 10) If XY = 8 feet and XZ = 17 feet, what is the area of XYZ? 15 ft 2 30 ft 2 60 ft ft 2

15 2006 Summer Exit 18) The net of a regular triangular pyramid is shown below. Use the ruler on the Mathematics hart to measure the dimensions of the pyramid to the nearest tenth of a centimeter. Which of the following best represents the total area of this net? 8 cm 2 16 cm 2 12 cm 2 31 cm Summer Exit 29) Which of the following sets of numbers represents the side lengths in units of a right triangle? 5, 3.2, , 6, , 8, , 5.2, Summer Exit 32) Mr. Norstam has just released a weather balloon with a diameter of about 3 feet. s the weather balloon rises, it will expand and eventually burst because of the changes in the atmospheric pressure. If the weather balloon rises and expands to 1.5 times its diameter before it bursts, what will be its change in volume? The volume will increase to less than 2 times the original volume. The volume will increase to between 2 and 3 times the original volume. The volume will increase to between 3 and 4 times the original volume. The volume will increase to between 4 and 5 times the original volume.

16 2006 Summer Exit 39) In 2002, people in Laredo, Texas, erected the tallest flagpole in the United States. It can be seen from miles away. ccording to the information shown in the drawing, what is the approximate height of the flagpole? (The drawing is not drawn to scale.) 308 feet 295 feet 205 feet 197 feet 2006 Summer Exit 45) Look at the diagram below. When the door handle is pushed down to open the door, it makes a 45 angle with its former position. What is the approximate arc length of the path traveled by the outside end of the door handle when the handle is pushed down? in in in in.