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WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS OA EXAM
ACTUAL EXAM AND STUDY GUIDES COMPLETE 250 QUESTIONS AND
VERIFIED CORRECT SOLUTIONS 2024-2025 UPDATE
WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS OA EXAM
QUESTION: Which of the following theorems proves that two figures are similar, but not
congruent? - ANSWER-Angle Angle
QUESTION: Which transformation will map (2, 5) onto (-2, 5) - ANSWER-(-x, y)
QUESTION: Two triangles are drawn in the coordinate plane. The vertices of the first triangle
are (5, 4), (−4, 6), (−8, 9). The vertices of the second triangle are (1, 6), (−8, 8), ( x, y). Find the
value of x and y that allow these two triangles to be congruent. - ANSWER-(−12, 11)
QUESTION: An octagon in the coordinate plane is transformed.Which of the following
transformations would result in a similar figure? - ANSWER-(-5x, -5y)
QUESTION: Which type of transformation are these figures an example of? - ANSWER-Dilation
QUESTION: A circle has an area of approximately 615.75 in 2. What is the circumference of the
circle? - ANSWER-87.96 inches
1
,Page 2 of 65
QUESTION: What is the area of this figure? - ANSWER-63 square units
QUESTION: A triangular window has an area of 600 in 2. The base of the window is three times
its height. What is the length of the base of the window? - ANSWER-60 in.
QUESTION: A gardener has a rectangular garden with an area of 374 yd 2. The length of the
garden is 17 yd. The gardener wants to enlarge the garden by doubling only the width of the
current garden. How much fencing will the gardener need to enclose the new garden? -
ANSWER-122 yd
QUESTION: 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
QUESTION: What is the approximate capacity of a spherical water tank with a radius of 7 ft? -
ANSWER-1,436 ft 3
QUESTION: 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
2
,Page 3 of 65
QUESTION: 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
QUESTION: 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
QUESTION: What is the surface area of a sphere with a diameter of 14 in.? - ANSWER-615.44 in
2
QUESTION: 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
QUESTION: What device would you use to measure the volume of a liquid? - ANSWER-
Graduated Cylinder
QUESTION: What should a student use to measure the length and width of a textbook? -
ANSWER-Ruler
QUESTION: 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
3
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QUESTION: 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
QUESTION: 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
QUESTION: What is 15 in. in meters, given 1 in. equals 0.0254 m? - ANSWER-0.381 m
QUESTION: There are two weeks and three days remaining until the final exam. How many
hours are there until the exam? - ANSWER-408 hours
QUESTION: 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
QUESTION: What is the length of the missing leg in a right triangle with a hypotenuse of 25 in.
and a leg of 9 in.? - ANSWER-4√34 in.
QUESTION: A scalene Triangle has - ANSWER-no congruent sides
4
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