Digital SAT Math Practice Questions with Answers & Explanations (2026 Free Practice Test)

Preparing for the Digital SAT Math? You’re in the right place. This free practice test features 30 original Digital SAT Math questions designed to help you master the concepts tested on the latest SAT.

These questions cover the same skill areas emphasized on the Digital SAT, including algebra, advanced math, problem-solving, data analysis, geometry, and trigonometry. Every question includes the correct answer and a detailed explanation to help you understand the reasoning behind the solution.

Disclaimer: These are original practice questions created for educational purposes. They are not official College Board questions.

Linear Equations
Percentages
Systems of Equations
Functions
Exponents
Quadratic Equations
Geometry
Probability
Statistics
Word Problems
Answer Key
Frequently Asked Questions

What Topics Are Covered in the Digital SAT Math Section?

The Digital SAT Math section measures your ability to apply mathematical concepts to real-world situations. Questions generally fall into four broad domains:

Algebra
Advanced Math
Problem Solving and Data Analysis
Geometry and Trigonometry

The practice questions below are designed to reflect these categories while gradually increasing in difficulty.

Digital SAT Math Practice Questions with Answers

Questions 1–10 (Easy)

These questions focus on foundational algebra, percentages, functions, geometry, and exponents.

Topics include:

Linear equations
Percent increase and decrease
Function notation
Exponent rules
Rectangle area
Basic probability

Question 1: Linear Equations

A gym charges a one-time membership fee of $40 plus $25 per month. If a member paid $190 in total, for how many months did they pay?

A. 5

B. 6

C. 7

D. 8

Answer: B. 6

Explanation

Let m represent the number of months.

The total cost consists of:

One-time membership fee = $40
Monthly fee = $25 × m

For this problem, the total paid is $190, so: 40+25m=190

Step 1: Subtract the membership fee

Subtract 40 from both sides:
25m=150

Step 2: Divide by 25

$m = \frac{150}{25}$ m=6

Therefore, the member paid for 6 months.

Question 2: Percent

A jacket originally costs $120. It is discounted by 15%.

What is the sale price?

A. $96

B. $100

C. $102

D. $108

Answer: C. $102

Explanation

15% of 120:

[
120\times0.15=18
]

Sale price:

[
120-18=102
]

Question 3: Systems of Equations

Solve:

[
x+y=18
]

[
2x-y=9
]

A. (7,11)

B. (9,9)

C. (8,10)

D. (6,12)

Answer: B. (9,9)

Explanation

Add the equations:

[
3x=27
]

[
x=9
]

Then,

[
y=18-9=9
]

Question 4: Functions

[
f(x)=4x-7,
]

find (f(6)).

A. 17

B. 19

C. 24

D. 31

Answer: A. 17

Explanation

Step-by-Step Explanation

Substitute $x = 6$ x=6 into the function: $f(6) = 4(6) – 7$

Multiply: $4 \times 6 = 24$

Subtract 7: $24 – 7 = 17$

Therefore, $f(6) = 17$

Question 5: Exponents

Simplify

[
\frac{5^6}{5^2}
]

A. (5^2)

B. (5^3)

C. (5^4)

D. (5^8)

Answer: C. (5^4)

Explanation

Subtract exponents:

[
5^{6-2}=5^4
]

Question 6: Quadratic Equations

Solve

[
x^2-13x+40=0
]

A. 4 and 10

B. 5 and 8

C. 6 and 7

D. 2 and 20

Answer: B. 5 and 8

Explanation

Factor:

[
(x-5)(x-8)=0
]

Question 7: Geometry

A rectangle has a length of 18 cm and a width of 11 cm.

What is its area?

A. 198 cm²

B. 176 cm²

C. 58 cm²

D. 396 cm²

Answer: A. 198 cm²

Explanation

Area:

[
18\times11=198
]

Question 8: Probability

A box contains 6 blue, 5 black, and 4 red pens.

What is the probability of selecting a black pen?

A. (\frac13)

B. (\frac15)

C. (\frac{5}{15})

D. (\frac{5}{14})

Answer: A. (\frac13)

Explanation

Total pens = 15

Probability:

[
\frac5{15}=\frac13
]

Question 9: Linear Functions

A line passes through (3,8) and (7,20).

Find its slope.

A. 2

B. 3

C. 4

D. 5

Answer: B. 3

Explanation

[
\frac{20-8}{7-3}=\frac{12}{4}=3
]

Question 10: Word Problem

A school bookstore sells notebooks for $4 and calculators for $18. The store sold 30 items for $330.

How many calculators were sold?

A. 10

B. 12

C. 15

D. 18

Answer: C. 15

Explanation

Let (c) represent calculators.

[
4(30-c)+18c=330
]

[
120-4c+18c=330
]

[
14c=210
]

[
c=15
]

Questions 11–20 (Medium)

The next set introduces multi-step equations and more advanced applications.

Topics include:

Systems of equations
Ratios and proportions
Circle geometry
Quadratic equations
Function evaluation
Data analysis
Coordinate geometry

Question 11: Algebra

Solve:

[
7x-9=40
]

A. 5

B. 6

C. 7

D. 8

Answer: C. 7

Explanation

[
7x=49
]

[
x=7
]

Question 12: Percent Increase

A phone costs $800 and increases by 10%.

New price?

A. $840

B. $860

C. $880

D. $900

Answer: C. $880

Explanation

10% of 800 is 80.

[
800+80=880
]

Question 13: Ratio

The ratio of boys to girls is 4:5.

There are 36 students.

How many are girls?

A. 16

B. 18

C. 20

D. 24

Answer: C. 20

Question 14: Quadratics

Solve:

[
x^2-11x+30=0
]

A. 5 and 6

B. 4 and 7

C. 3 and 10

D. 2 and 15

Answer: A. 5 and 6

Question 15: Exponents

Simplify

[
3^2\times3^5
]

A. (3^6)

B. (3^7)

C. (3^{10})

D. (9^7)

Answer: B. (3^7)

Question 16: Functions

[
g(x)=2x^2-3
]

find (g(4)).

A. 25

B. 29

C. 32

D. 35

Answer: B. 29

Question 17: Circle

The circumference of a circle is

[
10\pi
]

Find its radius.

A. 2

B. 5

C. 10

D. 20

Answer: B. 5

Question 18: Data Analysis

The average of five numbers is 18.

Four numbers are 12, 16, 20, and 22.

Find the fifth number.

A. 18

B. 20

C. 22

D. 30

Answer: B. 20

Explanation

Total:

[
18\times5=90
]

Known sum:

[
12+16+20+22=70
]

Fifth number:

[
90-70=20
]

Question 19: Linear Equations

A line has slope 4 and passes through (2,3).

Find the equation.

A. (y=4x-5)

B. (y=4x+5)

C. (y=3x-2)

D. (y=2x+4)

Answer: A

Question 20: Word Problem

A bakery sells muffins for $3 and cookies for $2.

It sold 80 items for $200.

How many muffins were sold?

A. 30

B. 40

C. 50

D. 60

Answer: B. 40

Questions 21–30 (Hard)

These questions are comparable to the more challenging problems found on the Digital SAT.

Topics include:

Advanced algebra
Word problems
Statistics
Linear functions
Quadratic equations
Probability
Multi-step reasoning

Question 21: Linear Equations

Solve:

[
5x+12=47
]

A. 5

B. 6

C. 7

D. 8

Answer: C. 7

Question 22: Percent

A bicycle costs $450.

It is discounted by 20%.

Sale price?

A. $340

B. $350

C. $360

D. $380

Answer: C. $360

Question 23: Systems of Equations

Solve:

[
x+y=15
]

[
x-y=3
]

A. (9,6)

B. (8,7)

C. (10,5)

D. (6,9)

Answer: A. (9,6)

Question 24: Functions

[
f(x)=2x+9
]

find

[
f(-4)
]

A. -1

B. 1

C. -8

D. 17

Answer: B. 1

Question 25: Exponents

Simplify

[
\frac{7^5}{7^2}
]

A. (7^2)

B. (7^3)

C. (7^5)

D. (7^7)

Answer: B. (7^3)

Question 26: Quadratic Equations

Solve

[
x^2-9x+14=0
]

A. 2 and 7

B. 3 and 6

C. 1 and 14

D. 4 and 5

Answer: A. 2 and 7

Question 27: Geometry

A rectangle has a length of 15 cm and a width of 8 cm.

Find its perimeter.

A. 46 cm

B. 60 cm

C. 120 cm

D. 23 cm

Answer: A. 46 cm

Question 28: Probability

A box contains 5 red, 7 blue, and 8 green marbles.

What is the probability of selecting a green marble?

A. (\frac25)

B. (\frac13)

C. (\frac{7}{20})

D. (\frac12)

Answer: A. (\frac25)

Explanation

Total marbles:

[
5+7+8=20
]

Probability:

[
\frac8{20}=\frac25
]

Question 29: Statistics

The quiz scores are:

72, 80, 84, 88, 90, 96

Find the median.

A. 84

B. 85

C. 86

D. 88

Answer: C. 86

Question 30: Word Problem

A movie theater charges $15 for an adult ticket and $9 for a child ticket.

A total of 60 tickets were sold for $708.

How many adult tickets were sold?

A. 24

B. 28

C. 32

D. 36

Answer: B. 28

Explanation

Let (a) represent adult tickets.

[
15a+9(60-a)=708
]

[
6a=168
]

[
a=28
]

Tips for Scoring Higher on SAT Math

1. Master Algebra

Nearly half of the SAT Math section tests algebraic reasoning. Become comfortable solving equations, inequalities, and systems of equations.

2. Learn Function Notation

Understand how to evaluate functions, identify patterns, and interpret graphs.

3. Memorize Essential Geometry Formulas

Know formulas for:

Area
Perimeter
Circumference
Volume
Surface area
Pythagorean Theorem

4. Practice Without a Calculator

Many Digital SAT questions can be solved mentally or with basic arithmetic.

5. Use the Built-In Desmos Calculator Wisely

The Digital SAT provides the Desmos graphing calculator for every math question. Learn when graphing is faster than solving algebraically.

6. Review Every Mistake

The fastest way to improve your SAT score is to understand why an answer is wrong—not just memorize the correct answer.

Frequently Asked Questions

Are these official SAT questions?

No. These are completely original practice questions created to mirror the style and difficulty of the Digital SAT.

Are these questions suitable for the Digital SAT?

Yes. They are designed around the current Digital SAT Math content domains, including Algebra, Advanced Math, Geometry, and Data Analysis.

Is a calculator allowed on the Digital SAT?

Yes. Students have access to the built-in Desmos graphing calculator throughout the entire Math section and may also bring an approved handheld calculator.

How many questions are on the Digital SAT Math section?

The Digital SAT Math section contains 44 questions split across 2 adaptive modules.

What is a good SAT Math score?

A score of 700–800 is considered excellent, while 650+ is competitive for many colleges. Highly selective universities often expect scores in the upper range.

Key of Success

Consistent practice is one of the most effective ways to improve your SAT Math score. Work through each problem carefully, review the explanations, and revisit topics where you struggle. Over time, you’ll build both speed and confidence for test day.

If you’re aiming for a top score, combine these practice questions with full-length timed practice tests and regular review sessions.

Related SAT Resources

Digital SAT Algebra Practice Questions
SAT Geometry Practice Test
SAT Advanced Math Questions
SAT Vocabulary Practice
Digital SAT Reading & Writing Practice
Full-Length Digital SAT Practice Test

Digital SAT Math Practice Questions with Answers & Explanations (2026 Free Practice Test)

Table of Contents

What Topics Are Covered in the Digital SAT Math Section?

Digital SAT Math Practice Questions with Answers

Questions 1–10 (Easy)

Question 1: Linear Equations

Explanation

Step 1: Subtract the membership fee

Step 2: Divide by 25

Question 2: Percent

Explanation

Question 3: Systems of Equations

Explanation

Question 4: Functions

Explanation

Question 5: Exponents

Explanation

Question 6: Quadratic Equations

Explanation

Question 7: Geometry

Explanation

Question 8: Probability

Explanation

Question 9: Linear Functions

Explanation

Question 10: Word Problem

Explanation

Questions 11–20 (Medium)

Question 11: Algebra

Explanation

Question 12: Percent Increase

Explanation

Question 13: Ratio

Question 14: Quadratics

Question 15: Exponents

Question 16: Functions

Question 17: Circle

Question 18: Data Analysis

Explanation

Question 19: Linear Equations

Question 20: Word Problem

Questions 21–30 (Hard)

Question 21: Linear Equations

Question 22: Percent

Question 23: Systems of Equations

Question 24: Functions

Question 25: Exponents

Question 26: Quadratic Equations

Question 27: Geometry

Question 28: Probability

Explanation

Question 29: Statistics

Question 30: Word Problem

Explanation

Tips for Scoring Higher on SAT Math

1. Master Algebra

2. Learn Function Notation

3. Memorize Essential Geometry Formulas

4. Practice Without a Calculator

5. Use the Built-In Desmos Calculator Wisely

6. Review Every Mistake

Frequently Asked Questions

Are these official SAT questions?

Are these questions suitable for the Digital SAT?

Is a calculator allowed on the Digital SAT?

How many questions are on the Digital SAT Math section?

What is a good SAT Math score?

Key of Success

Related SAT Resources

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