Sat student Guide

Sample Math Test Materials 
The sample math questions that follow show the kinds of 
questions that may appear on both portions of the Math 
Test. For these sample materials: 
•
Review the notes at the beginning of each portion. 
They match the notes on the actual test. 
•
Decide on the correct answer to each multiple-choice 
question, then read the explanation for the correct 
answer to each question and for the answer you 
chose (if they are different). 
•
Follow the directions for the student-produced 
response questions shown later in this guide. The 
directions match the directions on the actual test. 
2022-23 SAT 
Student Guide 
26 

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Math Test – No Calculator Questions 
Math 
Math Test – No Calculator Questions 
For questions 1-5, solve each problem, choose the best answer from the choices provided, and fill in the 
corresponding bubble on your answer sheet. For question 6, solve the problem and enter your answer 
in the grid on the answer sheet. Please refer to the directions before question 6 on how to enter your 
answers in the grid. You may use any available space in your test booklet for scratch work. 
NOTES 
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. 
REFERENCE 
r 
2
A = πr 
C = 2πr 
l 
w 
A = 
l
w 
h 
b
1
A = 
2 
bh 
c 
b
a 
c
2
 = a
2
+ b
2 
30° 
60° 
45° 
45° 
s√2 
2x
s
x
s
x√3 
Special Right Triangles 
w 
h 
l 
V = 
l
wh 
r 
h 
V = πr
2
h 
r 
4
3
V = πr 
3
r 
h
1 
V = πr
2
h 
3 
w 
h
l 
1
V = 
l
wh
3 
The number of degrees of arc in a circle is 360. 
The number of radians of arc in a circle is 2π. 
The sum of the measures in degrees of the angles of a triangle is 180. 
Student Guide