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PSAT NMSQT Practice Test Math Sections 3 & 4 With Answer Key

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This document contains the PSAT NMSQT Practice Test including Math Section 3 (No Calculator) and Section 4 (Calculator). All questions are included along with the official answer key. Perfect for students preparing for PSAT, SAT, and standardized math exams.

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Institution
PSAT
Course
PSAT

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Math Test–No Calculator 25 MINUTES,17QUESTIONS
Turn to Section 3 of your answer sheet to answer the questions in this section



Math Test–Calculator 45 MINUTES, 31 QUESTIONS
Turn to Section 4 of your answer sheet to answer the questions in this section.




Answer Key is at the end of this document for
Section 3 and Section 4

, 3 3
Math Test – No Calculator
25 M I NU TES, 1 7 QUESTIONS

Turn to Section 3 of your answer sheet to answer the questions in this section.




For questions 1-13, solve each problem, choose the best answer from the choices provided,
and fill in the corresponding circle on your answer sheet. For questions 14-17, solve the
problem and enter your answer in the grid on the answer sheet. Please refer to the
directions before question 14 on how to enter your answers in the grid. You may use any
available space in your test booklet for scratch work.



1. The use of a calculator is not permitted.
2. All variables and expressions used represent real numbers unless otherwise indicated.
3. Figures provided in this test are drawn to scale unless otherwise indicated.
4. All figures lie in a plane unless otherwise indicated.
5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for
which f(x) is a real number.




 s√2
r c 2x 60° s 45°
w h b x
30° 45°
b a x√3 s
A = pr 2 A = w 1
A = bh c 2 = a2 + b 2 Special Right Triangles
2
C = 2pr


h r r h h
h
w r w
 
V = wh V = pr 2h 4
V = pr 3
1
V = pr 2h V = 1 wh
3 3 3
The number of degrees of arc in a circle is 360.
The number of radians of arc in a circle is 2p.
The sum of the measures in degrees of the angles of a triangle is 180.




Unauthorized copying or reuse of any part of this page is illegal. 32 CO NTI N U E

, 3 3




...............................................................................................................................................................................................................................................................................................................
1 3
A babysitter earns $8 an hour for babysitting 1 1
2 children and an additional $3 tip when both x− y = 10
2 4
children are put to bed on time. If the babysitter gets 1 1
the children to bed on time, what expression could x− y = 19
8 8
be used to determine how much the babysitter
earned? Which ordered pair (x, y ) satisfies the system of
equations above?
A) 8x + 3, where x is the number of hours
B) 3x + 8, where x is the number of hours A) (−112, −264)
C) x(8 + 2) + 3, where x is the number of children
D) 3x + (8 + 2), where x is the number of children
B) (64, 88)

⎛ 232 224 ⎞
C) ⎜⎜ , ⎟⎟
⎜⎝ 3 3 ⎟⎠

D) (288, 536)
2
3(x + y ) = y

If (x, y ) is a solution to the equation above and
x
y ≠ 0, what is the ratio ?
y
4
A) −
3
2
B) −
3
1
C)
3
2
D)
3




Unauthorized copying or reuse of any part of this page is illegal. 33 CO NTI N U E

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Uploaded on
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Written in
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Type
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