pg. 1 1 WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS OA EXAM ACTUAL EXAM 200 QUESTIONS AND CORRECT DETAILED ANSWERS|ALREADY GRADED A+ A teacher is making a game of ring toss for her class. She starts by using a circle with a diameter of 10 in. and then cuts out a smaller circle with a diameter of 6 in., leaving a ring as shown in the given image. - ANSWER - 50.27 sq. cm What is the approximate capacity of a spherical water tank with a radius of 7 ft? - ANSWER - 1,436 ft 3 A cylinder has a volume of 484π in. 3 and a height of 4 in. What is the radius of the cylinder? - ANSWER - 6.21 inches A cylinder has a volume of 600 in 3. Find the volume of a cone with the same radius and height as the cylinder. - ANSWER - 200 cubic inches How many square centimeters of sheet metal are required to manufacture a can with a radius of 3.5 cm and a height of 8 cm without overlapping? - ANSWER - 252.77 cm 2 What is the surface area of a sphere with a diameter of 14 in.? - ANSWER - 615.44 in 2 Find the surface area of a rectangular prism with a length of 3 in., a width of 4 in., and a height of 5 in. - ANSWER - 94 in 2 What device would you use to measure the volume of a liquid? - ANSWER - Graduated Cylinder pg. 2 2 What should a student use to measure the length and width of a textbook? - ANSWER - Ruler A runner runs in a park for 110 minutes.What time did the runner finish running if the runner started at 8:10 a.m.? - ANSWER - 10:00 AM An individual wants to buy a house worth $500,000, but only has $350,000 in a bank account. What is the deficit? - ANSWER - 150,000 A pen is 12 cm long. A pencil is 4 cm longer than the pen. What is the total length of the pencil and the pen? - ANSWER - 12 cm+ 16 cm =28 cm What is 15 in. in meters, given 1 in. equals 0.0254 m? - ANSWER - 0.381 m There are two weeks and three days remaining until the final exam. How many hours are there until the exam? - ANSWER - 408 hours A tank can hold 3 gal. of water. The tank currently has 2.5 gal. of water inside. How many liters of water need to be added to fill the tank, given that 1 gal. equals 3.79 L? - ANSWER - 1.895 L How many hours in a week? - ANSWER - 168 hours An individual is paying $50 per day for a rental car. How much will it cost to rent that car for two weeks? - ANSWER - $700 A car is traveling at 50 mph. How far will the car travel in 30 minutes? - ANSWER - 25 miles How many students want to take art based on the given diagram? - ANSWER - 20 What type of graph is depicted? - ANSWER - box and whisker plot pg. 3 3 Find the mean of this data set:1, 3, 4, 9, 8, 5, 12 - ANSWER - 6 A student in a statistics class scored an 80%, 85%, and 92% on the first three tests. What must the student score on the last test to have at least an 87% in the class? [ - ANSWER - 91% Given this data set:6, 2, 9, 0, 1, 5, 9, 4, 3, 2Which value could be added to the data set so that the median is 3? - ANSWER - 0 Which of the following terms would best describe the given data distribution?{40, 50, 60, 60, 60, 70, 70, 70, 70, 70, 70, 80, 80, 80, 90, 100} - ANSWER - symmetrical Which of the following is a true statement based on the given histogram of black cherry tree heights? - ANSWER - Black cherry trees have heights between 60 and 90 ft. A student's average score after the first three quizzes is 88%. What does the student need to score on the fourth quiz to raise the average to 90%? - ANSWER - 96% A deck of playing cards has 52 total cards. There are four jacks and four aces. Assuming the jack is not replaced, what is the probability of drawing a jack and then an ace from the deck of cards? - ANSWER - 4/663 A jar has 8 black marbles and 8 white marbles. Two marbles are drawn. Assuming the first marble is not replaced, what is the probability of drawing two black marbles? - ANSWER - 7/30 In an experiment, each member of a population is replaced after it is picked.Which of the following terms best describes these events? - ANSWER - Independent
