Review #1 1. Suppose you are an aerospace engineer. It is your job to design a new type of fighter jet, and you have already been given a model for it. The actual jet is to be 50 times as large as the model. The dimensions of the model are as follows: Length: 3 feet Width: 6 inches Height: 0.3 feet Find the dimensions of the actual jet. Length: ___________ Width: ________ Height:__________ 2. The pool shown below is drawn to scale. If the actual diameter of the pool is 20 feet, then what is the actual depth of the pool? 3 Mr. Twain asked the students in his class to draw the figure below using a scale factor of 2. Then, he asked students to tell him one of the new side lengths of the figure. Some student responses are below. Student Response Mark 4 in. Samantha 4.5 in. Divia 9 in. Cheng 5 in. Candice 7.8 in. Select all students that answered Mr. Twain's question correctly. A. Mark B. Samantha C. Divia D. Cheng E. Candice 4. The owners of Plymouth Orchard have a petting farm for children. They want to build a pony ride. The ponies will be on a lead, so the ride will be circular. What is the distance, in feet, along the path that children will ride? Use 3.14 for π. 14 5 The circle below is equally divided into 3 sections. The radius of the circle measures 6 inches. What is the area of the shaded sector? A. 36πin2 B. 12πin2 C. 6πin2 D. 452πin2 6 The seventh grade class is building a mini-golf game for the school carnival. The end of the putting green will be a circle. If the circle is 8 feet in diameter, how many square feet of grass carpet will they need to buy to make sure they receive a piece of carpet that is the correct size, and wastes the least amount of carpet? Use 3.14 for π . A. 5 feet by 5 feet square of carpet B. 6 feet by 6 feet square of carpet C. 8 feet by 8 feet square of carpet D. 9 feet by 9 feet square of carpet 7. 45 A. 55 degrees B. 35 degrees C. 135 degrees D. 145 degrees 8. In the diagram below, lines r, s, and q intersect at one point. What is the sum of ∠3and ∠4? A. 110o B. 70o C. 90o D. 100o 9. Angles F and G are complementary angles. Angles G and H are supplementary angles. The degree measure of each angle is a whole number. What is the smallest possible measure of angle H? A. 89o B. 179o C. 91o D. 1o 10. Bilal wants to determine the area of the school’s library. A diagram of the library is shown below. What is the area, in square feet, of the library? 45 30 A. 50 ft2 B. 525 ft2 C. 300 ft2 D. 225 ft2 11. In the parallelogram below, the length of the base of the parallelogram is 2 ft and the area is 84.8 ft2. What is the height of the parallelogram, in ft? 12 Khalil wants to wrap a gift for a party. The box below contains the gift. If wrapping paper costs $0.03 per square centimeter, Khalil will spend on wrapping paper. A. $200 B. $6.00 C. $6.06 D. $6.60
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