Ged Mathematical Test

Mathematical Reasoning
(Calculator)
45 questions
105 minutes*
You may use a calculator on this section.
*Timing is based on the total available time of 115 minutes for the Mathematical Reasoning test. Test-
takers are advised to spend no more than 10 to 12 minutes on the non-calculator portion so they can invest
more time on the more complex questions that show up in the calculator-active section that follows.
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76
MathematicalReasoning
6. What is the diameter of a circle that has area
equal to 484π? On the GED® test this might
be a fill in the blank question. Here, just
choose the correct answer choice.
A. 22
B. 30
C. 44
D. 54
7. Simplify the following expression.
+ +12 3 27 3
A. 108
B. 3 42
C. 12 3
D. +3 3 3 27
8. On the GED® test, this question could be a
drop-down or cloze type. Here, please choose
the lettered answer.
less than
227 equal to 14.637
greater than
A. less than
B. equal to
C. greater than
D. /less than / equal to
9.
(4x)°
(2x)°
(6x)°
CB
A
ABC is what type of triangle?
A. Obtuse
B. Equiangular
C. Isosceles
D. Right
10. A 1.5 gallon jug needs to be filled with water.
If the jug is filled one pint at a time, how
many pints are needed to fill the jug?
On the GED® test, this would be a fill-in-
the-blank question. Here, please select your
answer from the four provided.
A. 10
B. 12
C. 14
D. 15
11. Simplify the following expression.
5 – 2(3 – 5)³ + 2² – (–11)
This might be a fill-in-the blank question
on the GED® test. Here, mark the correct
answer.
A. 20
B. 26
C. 30
D. 36
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77
PracticeTest
Questions 12 and 13 refer to the chart below.
9th
Grade
30%
10th
Grade
47%
Wilson High School 2012
Total Students = 1,200
11th
Grade
11%12th
Grade
12%
12. The number of 9th graders attending the
high school in 2014 is expected to be 20%
greater than the 2012 total. How many 9th
graders are expected to be at the high school
in 2014? This could be another fill-in-the-
blank question on the GED® test. Here
choose the answer from the selection given.
A. 422
B. 432
C. 660
D. 900
13. What is the measure of the central angle cre-
ated by the sum of the 9th and 11th graders?
A. 147.6°
B. 151.2°
C. 163.7°
D. 180°
14. Which of the following graphs represents the
inequalities:
< −
≥ − +
y x
y x
2
3
4
3 3
A. y
x
B. y
x
C. y
x
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78
D. y
x
15. A rectangular television screen is sold by the
length of its diagonal. If the diagonal is 45″
and the height of the screen is 27″, what is
the area of the screen?
A. 972 in²
B. 1,008 in²
C. 1,215 in²
D. 1,620 in²
16. Which of the following graphs represents the
compound inequality − ≤ − <x8 2 8 8?
A.
0 8–8
B.
80
C.
80
D.
80
17. A board game uses a six-sided die and a
spinner with the colors red, yellow and blue.
What is the probability of throwing a 4 or 6
and spinning red or blue? This would be a
drag-and-drop on the GED® test where you
would place your answer in boxes provided
below. For this test, select the correct answer
from those given.
A.
2
3
B.
1
3
C.
2
9
D.
1
9
18. If x² + 6x = 40, what are the values of x – 6?
A. 16, –2
B. –16, –2
C. 10, –4
D. –20, 2
19. What is the slope of a line that is perpendicu-
lar to the line 2x – 7y = –37 ? On the GED®
test you would drag-and-drop the correct
answer into the brackets. For now, simply
select the answer choice from those listed.
A.
2
7
B.
−2
7
C.
7
2
D.
−7
2
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79
PracticeTest
20.
m
m
t
1 2
43
5 6
87
ℓ
ℓ
If the measure of ∠5 = (3x)° and the measure
of ∠2 = (2x)°, what is the measure of ∠8?
On the GED® test you would place your
answer in the boxes below (ignoring the
degree symbol). Here, select your answer
from the choices given.
A. 98
B. 102
C. 108
D. 110
21. Elena has an exercise routine in which she
runs uphill, rests and bikes downhill (not in
any set order).
The graph below shows her routine on a
given day.
Time
Distance
What is the order in which Elena rested,
biked and ran?
A. ran, biked, rested
B. biked, rested, ran
C. rested, biked, ran
D. ran, rested, biked
22. The supplement of an angle is four times
the measure of its complement. What is the
measure of the angle?
Select the correct answer below.
less than
the angle’s measure is equal to 60
greater than
This would be a Cloze example type on the
GED® test. Here, simply select your answer
from the choices given.
A. 35
B. 40
C. 55
D. 60
23. The following points lie on a certain line.
x y
–2 –11
1 –5
4 1
6 5
What is the equation of the line?
A. y = –4x + 2
B. y = –3x + 3
C. y = 2x – 3
D. y = 2x – 7
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80
24.
A
C
mB
In the figure above, points A, B, and C are
A. Collinear and coplanar
B. Collinear only
C. Non-collinear and coplanar
D. Adjacent and supplementary
25. What is the product of − x y xy( 2 ) (3 )2 3 3 2 2
?
A. –6x8
y13
B. –72x7
y10
C. 72x7
y10
D. –72x8
y13
26. James placed $7,500 in a certificate of
deposit (CD) at his local bank. The interest
the CD generated was $731.25. If the inter-
est rate was 6.5%, how many months was the
money deposited?
A. 1.5
B. 2.5
C. 12
D. 18
27. A rectangle has a diagonal that is 5 inches
long and a height of 1.4 inches. What is the
perimeter of the rectangle? On the GED® test
you would place your answer in the boxes
below. Here make your selection from the
choices provided.
A. 8.3
B. 10.6
C. 12.4
D. 14.8
28. What is the solution to the equation x² + 4x
– 14 = 0? Round your answer to the nearest
tenth.
A. 2.3
B. –6.3
C. 2.3, –6.3
D. 4.4, –4.1
29. Lori needs an 85% average in her math
class to move on to the next class. On her
first three exams, she earned scores of 81%,
78%, and 97%. What must Lori score on her
fourth and final test to earn an 85% grade
for the class? On the GED® test you would
be directed to place your answer in the boxes
below (ignoring the percent sign). Here,
select from the choices given.
A. 84%
B. 86%
C. 92%
D. 96%
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81
PracticeTest
30. What is the perimeter of a square that has an
area of 1,459.24 square meters?
A. 164.4 meters
B. 152.8 meters
C. 144 meters
D. 139.8 meters
Carbon-14 has a half-life of 5,700 years.
The graph below shows the decay of a 10
kilogram sample over several thousand years.
5
0
10
(5.700, 5)
15 20 25 30 35
Years (in thousands)
kg
10
8
6
4
2
31. What is the best estimate of the weight of the
carbon-14 sample after 19,000 years?
A. 1.4 kg
B. 0.9 kg
C. 0.2 kg
D. 0.08 kg
32. Approximately how many years have passed
when the carbon-14 sample decays to 4.1 kg?
less than
7,000 years is equal to carbon decay
to 4.1 kg
greater than
On the GED® test this would be a cloze or
drop-down item. Here, please select your
answer from the choices given.
A. less than
B. equal to
C. greater than
D. none of the above
33. The scale on a state map of Connecticut indi-
cates that 1 inch = 6.5 miles. If the distance
between Bristol and New Haven is 31 miles,
what is the distance on the map? (Round
your answer to the nearest tenth of an inch).
Place a check in the brackets next to your
answer. This would be a drag-and-drop ques-
tion. For now, choose the answer that you
believe is the correct answer.
A. 3.9 [ ]
B. 4.2 [ ]
C. 4.7 [ ]
D. 4.8 [ ]
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82
34. What is the measure of ∠BOC in the dia-
gram below? Place your answer in the boxes
below (ignore the degrees symbol). This
would be a fill-in-the-blank question type
on the GED® test. Here, mark your answer
choice.
0
(9x)°
(10x)°
(5x)°
D
B
A
C
A. 35.7
B. 37.5
C. 73.5
D. 33.2
35. What is the slant height of a cone with a
surface area that measures 435.675 in² and a
radius that measures 7.5 inches? (π = 3.14).
A. 10.6
B. 11
C. 11.2
D. 12.4
36. The width of a wavelength in the visible light
region of the electromagnetic spectrum is
4.6 × 10–6
meters. Another wavelength in the
microwave portion of the electromagnetic
spectrum has a width of 3.22 × 10–2
. How
many wavelengths of the visible light, if laid
side to side, would fit within one length of
the microwave wavelength? Express your
answer in scientific notation.
A. 7 × 104
B. 7.2 × 103
C. 7 × 103
D. 6.85 × 10–3
37. A vendor of ornamental rope charges $0.15
per inch or $1.55 per foot. What is the sav-
ings on an order of 7 yards of chain if it is
purchased on a per foot basis rather than a
per inch basis? Place your answer in the boxes
below (ignore the $ sign).
On the GED® test this would be a fill-in-the-
blank question type. Here, please select your
A. $5.25
B. $3.75
C. $3.65
D. $2.45
38. A local fishing pier registered the following
catches (in pounds) for a six day period.
Day Weight
1 108
2 112
3 104
4 109
5 118
6 112
What is the difference between the median
and the mean of these weights? Enter your
answer in the boxes below.
A. 10
B. 8
C. 5
D. 0
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83
PracticeTest
39. Find the missing y-coordinate if (7, y) and
(4, –3) lie on a line that has slope −
2
5
.
A. 4.8
B. –2.6
C. –4.2
D. –7.8
40. Katie can spend up to $100 on some inex-
pensive skirts. If each skirt costs $8, which of
the following expressions reflects the condi-
tions of Katie’s purchase?
A. s + 8 = 100
B. s + 8 < 100
C. 8s < 100
D. 8s ≤ 100
41. Simplify the following expression:
+ −
−
x x x
x x
6 16
2
3 2
2
A.
+
−
x
x
8
2
B.
−
+
x x
x
( 8)
2
C. x + 8
D. x – 2
42. + − =x2 2 3 15
Find the value of x and place your answer in
the box below.
A. 146
B. 155
C. 161
D. 171
43. If $19.50 represents a 22% discount off the
price of a tennis racquet, what were the cents
of the racquet’s original price? (Round your
answer to the nearest cent.) Place a check
mark next to your answer.
___63 ____64 ____71 ____96
On the GED® test this would be a hot-spot
question type. Here, please select your answer
from the four provided.
A. 63
B. 64
C. 71
D. 96
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84
On the GED ® test this would be a drag-and-
drop question type. Here, please select your
A. Hundreds [0 ] Tens [0] ones [2 ]
B. Hundreds [1] Tens [1] ones [2 ]
C. Hundreds [0 ] Tens [2] ones [2 ]
D. Hundreds [1 ] Tens [0] ones [3 ]
The following information is to be used for ques-
tions 47 and 48.
A housing development outside of Little
Rock had sold 240 of its homes 1.6 years
after its grand opening. After 4 years and
3 months, the number of homes sold rose
to 450.
47. If the number of sales continued to grow at
the same rate, how many homes will have
been sold at the 6-year mark? (Round your
answer to the nearest home sold.) Place your
answer in the box below.
On the GED ® test this would be a fill-in-
the-blank question type. Here, please select
your answer from the four provided.
A. 268
B. 387
C. 553
D. 589
48. How many years are needed to sell 1,150
houses (round your answer to the nearest year)?
A. 13
B. 10
C. 9
D. 6
44. A cruise line ship left Port A and traveled
90 miles due west and then 400 miles due
north.
At this point, the ship docked at Port B.
What is the shortest distance between Port
A and Port B?
Place your answer in the box below.
A. 385
B. 390
C. 410
D. 450
45. Which of the following is the graph of the
following inequalities:
–8x +2 > –12 or 4x – 6 ≥ 16
A.
5.51.75
B.
5.51.75
C.
6–2
D.
6–2
46. A rope measures 30 yards in length. How
many circles of radius 5 feet can be created
from this length of rope. Drag your answer
to the boxes below.
Hundreds [ 0 ] [1 ]
Tens [0 ] [1 ] [3 ] [ 4]
Ones [1 ] [2 ] [3 ] [5]
Hundreds [ ] Tens [ ] Ones [ ]
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85
PracticeTest
49. − =
=
x
x
2
1
3
3
5
8
7
1
4
?
A. 3
5
8
B. 4
37
56
C. 6
D. 6
11
18
50. A carnival game consists of throwing a bean
bag on to circular target area painted on the
floor. (See diagram below.)
4.5’1.5’
If the width of the inner circle is 1.5 feet and
the width of the outer circle is 4.5 feet, given
that the bean bag falls on the target, what is
the probability that it will land on the inner
circle? (π = 3.14) Place you answer in the
box below.
A. 0.01
B. 0.02
C. 0.03
D. 0.04
51. How many ways can the president, vice
president, and secretary of the senior class be
selected from a pool of 12 students? Place the
appropriate symbol/number(s) in the brack-
ets below.
[ ] [ ] [ ]
[15] [12] [3 ] [P ] [ C ] [N ] [R ] [! ]
On the GED® test this would be a drag-and-
drop question type. Here, please select your
A. 12 C N
B. 3 C R
C. 15 P !
D. 12 P 3
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