7th STAAR Review (RC3 - I) Some questions (c) 2015 by Progress Testing. Page 2 GO ON 1 Using the map below, Andrew measured the distance between the picnic area and the historic building as 3 centimeters. Based on the scale provided, what is the distance between the picnic area and the historic building? A 0.75 miles B 0.875 miles C 0.92 miles D 0.925 miles 2 Joseph built a model airplane. His model is 16 inches long, and the actual airplane is 128 feet long. What is the scale of his model airplane? A 1 inch = 4 feet B 1 inch = 8 feet C 1 inch = 16 feet 3 Which of the following statements is true? A All right triangles are similar. B All equilateral triangles are similar. C All acute triangles are similar. D All obtuse triangles are similar. D 1 foot = 60 feet Page 3 GO ON 4 The Empire State Building is 1,250 feet tall and the Chrysler Building is 925 feet tall. 7 A 30-foot-tall tree casts a 40-foot shadow. Mark is making a scale model of the buildings. If he makes his model of the Empire State Building 50 inches tall, how many inches tall should he make his model of the Chrysler Building? A 25 B 29 C 35 D 37 If a nearby storage shed is 15 feet tall, what is the length of the shed's shadow? A 10 feet 5 On a trip to Washington D.C., Jose bought a model of the Washington Monument. His B 20 feet C 25 feet D 30 feet model is 8 inches tall. If the scale of the model is 1 inch to 70 feet, what is the actual height of the Washington Monument? 8 The two shapes below are similar. A 70 feet B 560 feet C 700 feet D 1,200 feet 6 Fort Worth and Houston are 240 miles apart. The scale of a map of Texas is 1 inch = 50 miles. How far apart are Fort Worth and Houston on the map? A 4.4 inches B 4.6 inches C 4.8 inches D 5.1 inches Page 4 What is the length of ST? A 3 B 4 C 5 D 6 GO ON 9 Figure LMN ∼ Figure QRS 11 The rectangles shown below are similar. Which of the following completes this proportion? = Which of the following statements is true? A QR A The scale factor is 2.5. B LM B The scale factor is 6. C RS C Side BC is congruent to side FG. D QS 10 D Side CD is congruent to side GH. How does the size of a circular object affect the relationship of the circumference divided by the diameter? A The size will affect the relationship B 12 Mrs. Westhoven is having guests over for dinner. She places a 4.5-foot-long table and a 127-centimeter-long table side by between circumference and diameter, side to form one long table. What is the because circumference changes at a combined length of the two tables in greater rate than diameter. inches? The size has no effect on the A 96.3 inches relationship between circumference B 104 inches C 123 inches and diameter, because the two values change independently. C The size will affect the relationship D 131.5 inches between circumference and diameter, because the value of π changes as circumference changes. D The size has no effect on the relationship between circumference and diameter, because the ratio is always equal to π. Page 5 GO ON 13 Kristen's perspective drawing of two buildings is shown below. In the drawing, the closer building is 4 inches high. The horizon line is divided into two sections that measure 8 inches and 3 inches. Both buildings are perpendicular to the horizon line. What is the height of the smaller distant building? A inches B 1 inch C inches D inches 14 A rectangular field is 348 inches long and 7 yards wide. What is the perimeter of the field in feet? A 31.3 feet B 50 feet C 62.6 feet D 100 feet Page 6 GO ON 15 Which choice illustrates a dilation of triangle VWZ with a scale factor of Page 7 ? GO ON A B C D Page 8 GO ON 16 Based on the diagram below, which of the following expressions is equal to π? A B C D Page 9 BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON YOUR ANSWER DOCUMENT STOP
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