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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