# SAT Math Questions [Sample SAT Math Questions 2023]

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.

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**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

**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

**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

**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)

**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