5 questions
10 minutes*
You may not use a calculator on this section.
Mathematical Reasoning
(Non-Calculator)
*Test-takers are advised to pace themselves by spending no more than 10 to 12 minutes on the non-
calculator portion of the Mathematical Reasoning test so they can move on to the calculator-active portion.
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72
MathematicalReasoning
Mathematics Formula Sheet
Area:
parallelogram	 A = bh
trapezoid	 h b b
1
2
( )1 2+
Surface Area and Volume:
rectangular/right prism: 	 SA = ph + 2B	 V = Bh
cylinder:	 SA = 2πrh + 2πr²	 V = πr²h
pyramid: 	 SA = ps B
1
2
+ 	 V = Bh
1
3
cone: 	 SA = πrl + πr²	 V = r h
1
3
2
π
sphere:	 SA = 4πr²	 V = r
4
3
3
π
(p = perimeter of base B ; π ≈ 3.14)
Algebra:
slope of a line: m
y y
x x
2 1
2 1
=
−
−
slope-intercept form of the equation of a line: y = mx + b
point-slope form of the equation of a line: y – y1
= m(x – x1
)
standard form of a quadratic equation: x = ax²+ bx + c
quadratic formula: y
b b ac
a
4
2
2
=
− ± −
Pythagorean Theorem: a² + b² = c²
simple interest: I = prt (I = interest, p = principal, r = rate, t = time)
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73
PracticeTest
1.	 Convert 12 yards 3 feet and 8 inches into
inches.
A.	288
B.	324
C.	468
D.	476
2.	 Twice a positive integer squared less 3 is 95.
What is the integer? Place your answer in the
box below.
On the GED test, this would be a fill-in-
the-blank question. Here, please select your
answer from the choices given.
A.	5
B.	7
C.	11
D.	13
3.	 Place the point (8, –6) on the coordinate
plane below. For the GED® test, this would
be a hot-spot question. Here, we will have
you choose among four sample coordinate
planes.
y
x
A.	
(8, –6)
y
x
B.	
(8, –6)
y
x
C.	
(8, –6)
y
x
D.	
(8, –6)
y
x
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74
MathematicalReasoning
4.	 A jacket costing $120 is discounted 20%.
After a week, the jacket is discounted another
20% and is sold. What expression below can
be used to calculate the cost for which the
jacket was sold?
A.	(120)(0.40)
B.	 120 – 120(0.40)
C.	120 – (120)(.20) – [120 – (0.20)
(120)](0.20)
D.	120 – (120)(0.40) – [120 – (120)
(0.40)]
5.	 Which of the following points lies on the line
y – 2 = 3(x – 4)?
A.	 (4, –2)
B.	 (4, 2)
C.	(–4, –2)
D.	(6, –2)
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Ged Mathematical Test

  • 1.
    5 questions 10 minutes* Youmay not use a calculator on this section. Mathematical Reasoning (Non-Calculator) *Test-takers are advised to pace themselves by spending no more than 10 to 12 minutes on the non- calculator portion of the Mathematical Reasoning test so they can move on to the calculator-active portion. www.tutorferry.com
  • 2.
    72 MathematicalReasoning Mathematics Formula Sheet Area: parallelogram A = bh trapezoid h b b 1 2 ( )1 2+ Surface Area and Volume: rectangular/right prism: SA = ph + 2B V = Bh cylinder: SA = 2πrh + 2πr² V = πr²h pyramid: SA = ps B 1 2 + V = Bh 1 3 cone: SA = πrl + πr² V = r h 1 3 2 π sphere: SA = 4πr² V = r 4 3 3 π (p = perimeter of base B ; π ≈ 3.14) Algebra: slope of a line: m y y x x 2 1 2 1 = − − slope-intercept form of the equation of a line: y = mx + b point-slope form of the equation of a line: y – y1 = m(x – x1 ) standard form of a quadratic equation: x = ax²+ bx + c quadratic formula: y b b ac a 4 2 2 = − ± − Pythagorean Theorem: a² + b² = c² simple interest: I = prt (I = interest, p = principal, r = rate, t = time) www.tutorferry.com
  • 3.
    73 PracticeTest 1. Convert 12yards 3 feet and 8 inches into inches. A. 288 B. 324 C. 468 D. 476 2. Twice a positive integer squared less 3 is 95. What is the integer? Place your answer in the box below. On the GED test, this would be a fill-in- the-blank question. Here, please select your answer from the choices given. A. 5 B. 7 C. 11 D. 13 3. Place the point (8, –6) on the coordinate plane below. For the GED® test, this would be a hot-spot question. Here, we will have you choose among four sample coordinate planes. y x A. (8, –6) y x B. (8, –6) y x C. (8, –6) y x D. (8, –6) y x www.tutorferry.com
  • 4.
    74 MathematicalReasoning 4. A jacketcosting $120 is discounted 20%. After a week, the jacket is discounted another 20% and is sold. What expression below can be used to calculate the cost for which the jacket was sold? A. (120)(0.40) B. 120 – 120(0.40) C. 120 – (120)(.20) – [120 – (0.20) (120)](0.20) D. 120 – (120)(0.40) – [120 – (120) (0.40)] 5. Which of the following points lies on the line y – 2 = 3(x – 4)? A. (4, –2) B. (4, 2) C. (–4, –2) D. (6, –2) www.tutorferry.com