WGU D128 MATHEMATICS FOR
ELEMENTARY EDUCATORS
OA 2025/2026 ACTUAL EXAM
QUESTIONS AND CORRECT DETAILED
ANSWERS || 100% GUARANTEED
PASS!!
<BRAND NEW VERSION>
1. Area - ANSWER ✔ The amount of space inside a two-dimensional figure.
2. Complementary angles - ANSWER ✔ Two angles whose sum is equal to
90°.
3. Supplementary angles - ANSWER ✔ Two angles whose sum is equal to
180°.
4. Obtuse angle - ANSWER ✔ Angles greater than 90°, but less than 180°.
5. Coordinates - ANSWER ✔ Identify the location of the point in relation to
the axes, or fixed reference lines of the graph. The x- and y-value of a point.
6. Tangent - ANSWER ✔ A straight line that touches a circle at only one point.
7. Legs - ANSWER ✔ The sides of a right triangle not opposite the right angle.
8. Polygon - ANSWER ✔ Closed figure with at least three straight sides.
9. Point - ANSWER ✔ A position in space.
10.Arc - ANSWER ✔ Part of the circumference of a circle or other curve.
,11.Quadrilateral - ANSWER ✔ A flat shape with four straight sides and four
angles.
12.Scalene triangle - ANSWER ✔ A triangle with sides of three different
lengths and angles with three different measures.
13.Degrees - ANSWER ✔ The units in which angles are measured, denoted by
the symbol °.
14.Adjacent - ANSWER ✔ Next to.
15.Chord - ANSWER ✔ A line segment that spans a circle. Each end of the line
segment is on the edge of the circle.
16.Congruent - ANSWER ✔ Figures with the same size and shape.
17.Diagonal - ANSWER ✔ A line segment with vertices as endpoints that is
not an edge.
18.Rhombus - ANSWER ✔ Quadrilateral with four equal sides, equal opposite
angles, and two sets of parallel opposite sides.
19.Horizontal line - ANSWER ✔ A line that runs left to right on the coordinate
plane, parallel to the x-axis. It has no rise, or change in y-value.
20.Pythagorean theorem - ANSWER ✔ The sum of each of the shortest sides
squared equals the longest side squared.
21.Circumference - ANSWER ✔ The distance around a circle.
22.Coordinate plane - ANSWER ✔ A tool used for graphing that is a display of
a two dimensional plane. It consists of an x-axis and a y-axis: the x-axis
being a horizontal number line, the y-axis is a vertical number line, and the
axes meet at the origin.
23.Y-axis - ANSWER ✔ The vertical line that passes through the origin on a
coordinate plane.
,24.Pentagon - ANSWER ✔ A polygon with 5 sides and 5 angles.
25.Dilation - ANSWER ✔ A transformation that produces an image that is the
same shape as the source figure but a different size. These enlarge or reduce
a polygon by a specific scale factor in relation to a given center point.
26.Symmetry - ANSWER ✔ The quality of having the same shape on either
side of a central line. In data analysis, the quality of the data having the same
shape on both sides of the mean.
27.Transformation - ANSWER ✔ A change to the orientation of a shape.
28.Similar - ANSWER ✔ Two figures have this property if they have the same
shape but not necessarily the same size.
29.Ordered pair - ANSWER ✔ Two numbers written in the form (x, y), where x
represents the x-value or x-coordinate, and y represents the y-value or y-
coordinate.
30.Reflective symmetry - ANSWER ✔ A shape which has the property that if it
is reflected about a line, the two sides will be identical.
31.Translation - ANSWER ✔ A transformation that moves a source figure in a
specified direction for a specified distance.
32.Scale factor - ANSWER ✔ The ratio of sides of two similar geometric
figures.
33.Reflection - ANSWER ✔ An image in which every point is the same
distance from a line as a corresponding point on the opposite side of the line.
34.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
35.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
, 36.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
37.What is the surface area of a sphere with a diameter of 14 in.? - ANSWER
✔ 615.44 in 2
38.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
39.What device would you use to measure the volume of a liquid? - ANSWER
✔ Graduated Cylinder
40.What should a student use to measure the length and width of a textbook? -
ANSWER ✔ Ruler
41.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
42.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
43.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
44.What is 15 in. in meters, given 1 in. equals 0.0254 m? - ANSWER ✔ 0.381
m
45.There are two weeks and three days remaining until the final exam. How
many hours are there until the exam? - ANSWER ✔ 408 hours
46.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
47.How many hours in a week? - ANSWER ✔ 168 hours
ELEMENTARY EDUCATORS
OA 2025/2026 ACTUAL EXAM
QUESTIONS AND CORRECT DETAILED
ANSWERS || 100% GUARANTEED
PASS!!
<BRAND NEW VERSION>
1. Area - ANSWER ✔ The amount of space inside a two-dimensional figure.
2. Complementary angles - ANSWER ✔ Two angles whose sum is equal to
90°.
3. Supplementary angles - ANSWER ✔ Two angles whose sum is equal to
180°.
4. Obtuse angle - ANSWER ✔ Angles greater than 90°, but less than 180°.
5. Coordinates - ANSWER ✔ Identify the location of the point in relation to
the axes, or fixed reference lines of the graph. The x- and y-value of a point.
6. Tangent - ANSWER ✔ A straight line that touches a circle at only one point.
7. Legs - ANSWER ✔ The sides of a right triangle not opposite the right angle.
8. Polygon - ANSWER ✔ Closed figure with at least three straight sides.
9. Point - ANSWER ✔ A position in space.
10.Arc - ANSWER ✔ Part of the circumference of a circle or other curve.
,11.Quadrilateral - ANSWER ✔ A flat shape with four straight sides and four
angles.
12.Scalene triangle - ANSWER ✔ A triangle with sides of three different
lengths and angles with three different measures.
13.Degrees - ANSWER ✔ The units in which angles are measured, denoted by
the symbol °.
14.Adjacent - ANSWER ✔ Next to.
15.Chord - ANSWER ✔ A line segment that spans a circle. Each end of the line
segment is on the edge of the circle.
16.Congruent - ANSWER ✔ Figures with the same size and shape.
17.Diagonal - ANSWER ✔ A line segment with vertices as endpoints that is
not an edge.
18.Rhombus - ANSWER ✔ Quadrilateral with four equal sides, equal opposite
angles, and two sets of parallel opposite sides.
19.Horizontal line - ANSWER ✔ A line that runs left to right on the coordinate
plane, parallel to the x-axis. It has no rise, or change in y-value.
20.Pythagorean theorem - ANSWER ✔ The sum of each of the shortest sides
squared equals the longest side squared.
21.Circumference - ANSWER ✔ The distance around a circle.
22.Coordinate plane - ANSWER ✔ A tool used for graphing that is a display of
a two dimensional plane. It consists of an x-axis and a y-axis: the x-axis
being a horizontal number line, the y-axis is a vertical number line, and the
axes meet at the origin.
23.Y-axis - ANSWER ✔ The vertical line that passes through the origin on a
coordinate plane.
,24.Pentagon - ANSWER ✔ A polygon with 5 sides and 5 angles.
25.Dilation - ANSWER ✔ A transformation that produces an image that is the
same shape as the source figure but a different size. These enlarge or reduce
a polygon by a specific scale factor in relation to a given center point.
26.Symmetry - ANSWER ✔ The quality of having the same shape on either
side of a central line. In data analysis, the quality of the data having the same
shape on both sides of the mean.
27.Transformation - ANSWER ✔ A change to the orientation of a shape.
28.Similar - ANSWER ✔ Two figures have this property if they have the same
shape but not necessarily the same size.
29.Ordered pair - ANSWER ✔ Two numbers written in the form (x, y), where x
represents the x-value or x-coordinate, and y represents the y-value or y-
coordinate.
30.Reflective symmetry - ANSWER ✔ A shape which has the property that if it
is reflected about a line, the two sides will be identical.
31.Translation - ANSWER ✔ A transformation that moves a source figure in a
specified direction for a specified distance.
32.Scale factor - ANSWER ✔ The ratio of sides of two similar geometric
figures.
33.Reflection - ANSWER ✔ An image in which every point is the same
distance from a line as a corresponding point on the opposite side of the line.
34.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
35.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
, 36.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
37.What is the surface area of a sphere with a diameter of 14 in.? - ANSWER
✔ 615.44 in 2
38.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
39.What device would you use to measure the volume of a liquid? - ANSWER
✔ Graduated Cylinder
40.What should a student use to measure the length and width of a textbook? -
ANSWER ✔ Ruler
41.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
42.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
43.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
44.What is 15 in. in meters, given 1 in. equals 0.0254 m? - ANSWER ✔ 0.381
m
45.There are two weeks and three days remaining until the final exam. How
many hours are there until the exam? - ANSWER ✔ 408 hours
46.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
47.How many hours in a week? - ANSWER ✔ 168 hours
