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SAT Math Questions [Sample SAT Math Questions 2023]

SAT Math Questions [Sample SAT Math Questions 2023]

SAT Math Questions [Sample SAT Math Questions 2023]

  • by Sebastian Daniel
  • On January,28,2023
  • 0 comments
  • 2198 Views

The SAT is a standardized test widely used for college admissions in the United States. It has long been offered in a paper-and-pencil format, but more recently, a digital version of the test has been introduced. One of the biggest differences between the digital and paper versions of the SAT math test is the way that students interact with the test questions. On the digital version of the test, students use a computer to select their answers and navigate through the test.

On the digital version of the test, students have a number of tools at their disposal, such as the ability to highlight text, use a calculator, and even view a tutorial on how to solve a particular problem.  If you're planning on taking the SAT, you should definitely consider taking the digital version of the test.

Book a FREE Demo Session  Take a Free Practice SAT Test

 

SAT Math Questions [Sample SAT Math Questions 2023]

There are different topics on the Digital SAT Maths:

  • Heart of Algebra
  • Passport to Advanced Math
  • Problem-Solving and Data analysis
  • Geometry
  • Advanced topics in Maths

Below you find some useful questions from different topics of Maths. You can solve this to test your preparation for Digital SAT.

Heart of Algebra

Question: If  (t-5)/2t =13/19, what is the value of t?
Possible Answers:
(-95)/7
95/7
(-65)/25
80/19
Correct answer:
(-95)/7

Question: If x/3 = 50, then what is x/10 equal to?
Possible Answers:
5
150
50
15
1500
Correct answer:
15

Question: There are m number of people on a deserted island. They drink n liters of
water a day. There are x number of 10-liter bottles on the island. On what
day will they run out of water?
Possible Answers:

10x/mn
n/10xm
10/nxm
10mn/x
m/10xn
Correct answer:
10x/mn

Question: The maximum number of sweaters that Lauren can sew every day is equal
to s, and the amount, in cents, that she charges for each sweater is equal
to c. Which of the following expressions is equivalent to the maximum
amount of money that Lauren can make, in dollars, after three weeks? 
Possible Answers:
21sc/100
300c/s
2100s/c
3c/(100s)
2100sc
Correct answer:
21sc/100

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Passport to Advanced Math

Question: Solve for x:
x+37=3

Possible Answers:
x=18
x=6
x=0
x=24
x=42
Correct answer:
x=18

Question: 7x + 3y = 20 and –4x – 6y = 11. Find the value of 3x – 3y
Possible Answers:
6
31
27
16
Correct answer:
31

Question: Write the following logarithm in expanded form:
logx2y
Possible Answers:
2logx+logy
logx2+logy
2(logxy)

2logx−logy
logx+logy
Correct answer:
2logx+logy

Question: If a cash deposit account is opened with $7500 for three year period
at 3.5% interest compounded once annually, which of the following is
closest to the positive difference between the interest accrued in the third
year and the interest accrued in the second year?
Possible Answers:
$81.41
$0
$281.2
$9.51
$11.41
Correct answer:
$9.51

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Problem-Solving and Data analysis

Question: A bag of jellybeans has 20 watermelon jellybeans, 45 sour apple jellybeans,
30 orange jellybeans and 5 cotton candy jellybeans.  If you reach in and
grab one jelly bean, what is the probability that it will be watermelon
flavored?
Possible Answers:
4/19

1/20
1/4
1/5
1/3
Correct answer:
1/5

Question: A circle is inscribed inside a square. If a point inside the square is selected
at random, what is the probability that the point will also be inside the
circle?
Possible Answers:
5/6
π/6
3/4
π/4
Correct answer:
π/4

Question: John has a bowl with 54 marbles in it. Half of the marbles are green and
half of the marbles are blue. John takes 3 green marbles and 6 blue
marbles from the jar. John then takes 13 additional marbles from the
remaining marbles in the jar. What is the minimum number of these 13
marbles that must be green in order for there to be more blue marbles than
green marbles left?
Possible Answers:
4
10
5

8
9
Correct answer:
9

Question: If x is chosen at random from the set (4, 6, 7, 9, 11) and y is chosen at
random from the set (12, 13, 15, 17) then what is the probability that xy is
odd?
Possible Answers:
6/10
9/20
9/10
3/10
11/20
Correct answer:
9/20

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Geometry

Question: The midpoint of line segment AB is (2, -5).  If the coordinates of point A are
(4, 4), what are the coordinates of B?
Possible Answers:
(6, 14)
(0, -13)
(6, 13)

(3, -0.5)
(0, -14)
Correct answer:
(0, -14)

Question: Point A is (5, 7).  Point B is (x, y).  The midpoint of AB is (17, –4). What is
the value of B?
 
Possible Answers:
None of the other answers
(12, –11)
(22, –9)
(29, –15)
(8.5, –2)
Correct answer:
(29, –15)

Question: Let f(x) be a function. Which of the following represents f(x) after it has
been reflected across the x-axis, then shifted to the left by four units, and
then shifted down by five units?
Possible Answers:
–f(x – 5) – 4
f(x + 4) – 5
–f(x + 5) – 4
–f(x – 4) – 5
–f(x + 4) – 5
Correct answer:

–f(x + 4) – 5

Question: If the point (6, 7) is reflected over the line y = x and then over the x-axis,
what is the resulting coordinate?
Possible Answers:
(7, –6)
(7, 6)
(6, 7)
(6, –7)
(–6, –7)
Correct answer:
(7, –6)

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Advanced topics in Maths

Question: The dimensions of a right, rectangular prism are 4 in x 12 in x 2 ft. What is
the diagonal distance of the prism?
Possible Answers:
4√(3)
None of the other answers
8√(7)
8√(23)
4√(46)
Correct answer:
4√(46)

Question: If the height of a pyramid was increased by 20% and a side of the square
base was decreased 30%, what would happen to the volume of the
pyramid?
Possible Answers:
There is a 41% decrease in volume
There is a 59% increase in volume
It would have the same volume 
There is no way to know if it would increase or decrease in volume
59% decrease in volume
Correct answer:
There is a 41% decrease in volume

Question: The diameter of the lid of a right cylindrical soup can is 5 in. If the can is
12 inches tall and the label costs $0.00125 per square inch to print, what is
the cost to produce a label for a can? (Round to the nearest cent.)
Possible Answers:
$1.18
$0.16
$0.08
$0.29
$0.24
Correct answer:
$0.24

Question: Aluminum is sold to a soup manufacturer at a rate of $0.0015 per square
inch. The cans are made so that the ends perfectly fit on the cylindrical
body of the can. It costs $0.00125 to attach the ends to the can. The outer
label (not covering the top / bottom) costs $0.0001 per in 2  to print and stick
to the can. The label must be 2 inches longer than circumference of the can.

Ignoring any potential waste, what is the manufacturing cost (to the nearest
cent) for a can with a radius of 5 inches and a height of 12 inches?
Possible Answers:
$0.91
$0.84
$0.45
$0.77
$0.57
Correct answer:
$0.84

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About The Author

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Sebastian Daniel

Sebastian is a US based SAT counselor with TestprepKart. His counseling knowledge and flair for SAT examinations is very helpful for SAT aspirants. 

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