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Home Test Prep GED Test

Test Prep GED Test Exam Practice Questions (P. 4)

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Question #31
The diameter of one bicycle wheel is 28 inches and its spokes run from the hub (or center) to the edge of the rim. The diameter of another bicycle wheel 21 inches. What is the difference in inches between the length of the spokes of the two wheels?
  1. A
    7
  2. B
    3.5
  3. C
    4.5
  4. D
    12
  5. E
    8

Correct Answer:
B
The spoke is equivalent to the radius, which is the diameter / 2.
Therefore, the spoke for the 28-inch wheel is 14 inches.
The spoke for the 21-inch wheel is 10.5 Inches.
14 גˆ’ 10.5 = 3.5-inch difference between spokes.

Question #32

Solve for b:
a = 14
b = ?
c = 50
  1. A
    b = 44
  2. B
    b = 50
  3. C
    b = 48
  4. D
    b = גˆ’48

Correct Answer:
C
Use the equation a -
= c
, plug in the known values, and solve.

Question #33
Two supplementary angles have measures of 9x degrees and 3x degrees. What is the measure of the longer angle?
  1. A
    180 degrees
  2. B
    45 degrees
  3. C
    135 degrees
  4. D
    15 degrees

Correct Answer:
C
Supplementary angles must add up to 180 degrees. Using that logic, you can solve for x.
9x + 3x = 180
12x = 180
x = 15
Now plug 15 in to 9x and 3x individually, and your two angles will be 135 degrees and 45 degrees. Answer ג€135 degreesג€ is correct since you want the longer angle.

Question #34
Determine the coordinates for the midpoint of a segment with the following endpoints: (12, גˆ’8) and (8, גˆ’4).
  1. A
    (גˆ’10, 6)
  2. B
    (6, גˆ’10)
  3. C
    (גˆ’6, גˆ’10)
  4. D
    (10, גˆ’6)

Correct Answer:
D
The following can help you determine midpoint coordinates:
(x
+x
) / 2,
(y
+y
) / 2

Question #35
A triangle has an area of 110 square inches and a base of 15 inches. Which answer best pinpoints the height?
  1. A
    14 inches
  2. B
    18 inches
  3. C
    18.66 inches
  4. D
    14.66 inches

Correct Answer:
D
To determine the area of a triangle, use the equation
A = (1/2)bh (or base times height)
The problem gives you the area as being 110 square inches. Plug that in for A.
Next, plug in 15 inches for base (also given) and solve for h.

Question #36
A great circle of a sphere lies on its surface and contains its center. What is the circumference of a great circle of a sphere that has a surface area that measures
1,476 square centimeters?
NOTE: ֿ€ equals 3.14.
  1. A
    Approximately 68.1
  2. B
    74.5
  3. C
    86.1
  4. D
    54.7

Correct Answer:
A
SA = 4ֿ€r -
finds the radius.
4(3.14)r
= 1,476cm
12.56r
= 1,476cm
r
= 117.51592356687898
r = 10.840476168825749 (or 10.84)
Place the value of the radius in the circumference formula (C = 2ֿ€r)
C = 2 ֳ— 3.14 ֳ— 10.84 = 68.0752 or approximately 68.1.

Question #37
The cylinder below has r = 10 inches and a volume of 6283 cubic inches to the nearest cubic inch. Find the height of the cylinder to the nearest inch.

  1. A
    25 inches
  2. B
    3 inches
  3. C
    10 inches
  4. D
    20 inches

Correct Answer:
D
The volume of this cylinder is 6283.
ֿ€r
h = 6283. h is the height. ֿ€ is 3.14...
h = 6283 ֳ· ֿ€ ֳ· 100 = 19.999....
h = 20
The height of the cylinder is 20 inches.

Question #38
In the diagram below, which line has a positive slope?

  1. A
    AB
  2. B
    AD
  3. C
    AC
  4. D
    DB

Correct Answer:
C
The coordinates of A are (1, 2), the coordinates of B are (3, 2). The slope of AB is (2 גˆ’ 2) / (3 גˆ’ 1) = 0
The coordinates of A are (1, 2), the coordinates of D are (גˆ’2, 4). The slope of AD is (4 גˆ’ 2) / ( גˆ’2 גˆ’ 1) = גˆ’4/3
The coordinates of A are (1, 2), the coordinates of C are (2, 4). The slope of AB is (4 גˆ’ 2) / (2 גˆ’ 1) = 2
The coordinates of D are (גˆ’2, 4), the coordinates of B are (3, 2). The slope of DB is (2 גˆ’ 4) / (3 ג€" (גˆ’2)) = גˆ’4/5

Question #39
In the diagram below, what are the coordinates of the mirror image of the point B in the x-axis?

  1. A
    (3, גˆ’4)
  2. B
    (3, גˆ’2)
  3. C
    (גˆ’3, 2)
  4. D
    (2, 3)

Correct Answer:
B
If B is reflected in the x-axis its x-coordinate will not change but it will be as far below the x-axis as it currently is above the x-axis. Its coordinates, after reflection, will be (3, גˆ’2).

Question #40
A graph of the temperature T (degrees Fahrenheit) in a refrigerator t hours after midday.

What is the equation of the axis of symmetry of this graph?
  1. A
    T = 9
  2. B
    t = 3
  3. C
    T = 0
  4. D
    t = 0

Correct Answer:
C
It is clear from the diagram that the T-axis is the mirror line or axis of symmetry of this diagram. The equation of the T-axis is t = 0. The equation of the axis of symmetry of this graph is t = 0.

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