SAT Math Practice – Set 1

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Digital SAT Math Practice Test 2025: Complete 25-Question Module

Last Updated: January 2025 | Test Duration: 35 minutes
Questions: 25 (aligned with Digital SAT Module format)
Calculator: Allowed (Desmos graphing calculator available)

This practice test simulates the format and difficulty of an actual Digital SAT Math module. The Digital SAT Math section consists of two 35-minute modules with 22 questions each. This practice set contains 25 questions to provide extra practice across all content areas: Algebra (35%), Advanced Math (35%), Problem-Solving & Data Analysis (15%), and Geometry & Trigonometry (15%).

Important Notes:

  • Calculator is allowed for all questions
  • No penalty for wrong answers – never leave a question blank
  • In the actual Digital SAT, questions are adaptive between Module 1 and Module 2
  • Target time: 35 minutes for optimal practice (84 seconds per question average)

Test-Taking Strategies

Before You Begin:

  • Time Management: Spend approximately 60-90 seconds per question. Reserve 3-4 minutes at the end for review.
  • Process of Elimination: Even if you can eliminate just one answer choice, your guessing odds improve significantly.
  • Use the Calculator Wisely: Desmos can graph equations, solve systems, and verify answers. Practice using it effectively.
  • Show Your Work: Use scratch paper to avoid calculation errors, even with a calculator available.
  • Flag and Move On: If stuck on a question beyond 90 seconds, flag it and return later.

Directions

This practice test consists of 25 multiple-choice questions covering Algebra, Advanced Math, Problem-Solving & Data Analysis, and Geometry & Trigonometry.

For each question:

  • Select the best answer from the four options provided (A, B, C, or D)
  • You may use a calculator for all questions
  • Scratch paper is recommended for calculations
  • There is no penalty for incorrect answers

Recommended Time: 35 minutes

Practice Questions

Question 1

If x + 5 = 11, what is the value of x?

A) 4
B) 5
C) 6
D) 7

Question 2

What is the value of (2/3) + (1/6)?

A) 1/2
B) 2/3
C) 5/6
D) 1

Question 3

A rectangular field has a length of 50 meters and a width of 30 meters. What is the perimeter of the field in meters?

A) 80
B) 100
C) 160
D) 1,500

Question 4

If 3x – 2 = 16, what is the value of x?

A) 4
B) 5
C) 6
D) 7

Question 5

A group of friends decided to split the cost of a $75 dinner bill equally. If there were 5 friends, how much should each person pay?

A) $10
B) $15
C) $20
D) $25

Question 6

What is the value of 2x + 3y when x = 4 and y = -2?

A) 2
B) 5
C) 8
D) 11

Question 7

If a car travels at an average speed of 60 miles per hour for 3 hours, how many miles has it traveled?

A) 120
B) 150
C) 180
D) 200

Question 8

Simplify the expression: 3(2x – 4) + 2(x + 1)

A) 8x – 6
B) 8x – 10
C) 10x – 10
D) 10x – 6

Question 9

A rectangular garden has an area of 48 square meters and a length of 8 meters. What is the width of the garden in meters?

A) 4
B) 5
C) 6
D) 7

Question 10

Solve for x: 2(x – 3) = 10

A) x = 2
B) x = 4
C) x = 6
D) x = 8

Question 11

If a train travels at a constant speed of 70 miles per hour, how long will it take to travel 210 miles?

A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours

Question 12

Simplify the expression: (3x² + 5x – 2) – (2x² – 3x + 4)

A) x² + 8x – 6
B) x² + 8x + 2
C) x² – 8x – 6
D) x² – 8x + 2

Question 13

A baker needs to make 120 cupcakes for a party. If each batch yields 24 cupcakes, how many batches does the baker need to make?

A) 3
B) 4
C) 5
D) 6

Question 14

Solve for x: 3(x + 2) – 2(x – 1) = 14

A) x = 2
B) x = 3
C) x = 4
D) x = 6

Question 15

In a class, the ratio of boys to girls is 3:5, and there are 24 students in total. How many boys are in the class?

A) 8
B) 9
C) 10
D) 12

Question 16

Which expression is equivalent to (4x² – 2x) ÷ (2x) for x ≠ 0?

A) 2x – 1
B) 2x + 1
C) 2x + 2
D) 2x – 2

Question 17

A store offers a 20% discount on all items. If a customer wants to buy a shirt that originally costs $40, how much will they pay after the discount?

A) $28
B) $30
C) $32
D) $35

Question 18

Solve for x: (x + 3)² = 25

A) x = 2 or x = -8
B) x = 5 or x = -5
C) x = 6 or x = -6
D) x = 7 or x = -7

Question 19

If the area of a circle is 16π square units, what is the circumference of the circle?

A) 8π units
B) 12π units
C) 16π units
D) 20π units

Question 20

Solve for x: 2(x + 3)/(x – 1) = 6

A) x = 1
B) x = 2
C) x = 3
D) x = 4

Question 21

The sum of two numbers is 30, and their difference is 10. What are the two numbers?

A) 10 and 20
B) 15 and 15
C) 20 and 10
D) 25 and 5

Question 22

Simplify the expression: (x² – 9)/(x – 3) for x ≠ 3

A) x + 3
B) x – 3
C) x² – 9
D) x² + 9

Question 23

A right circular cone has a height of 12 inches and a base radius of 6 inches. What is the slant height of the cone in inches?

A) 6√5
B) 12√2
C) 12√3
D) 18√2

Question 24

Solve for x: (x – 2)² = 9

A) x = 5 or x = -1
B) x = 3 or x = -3
C) x = 4 or x = -4
D) x = 6 or x = -6

Question 25

If the equation of a line is y = 2x + 3, what is the y-intercept of the line?

A) 2
B) 3
C) 5
D) 6

Answer Key and Detailed Explanations

Question 1

Correct Answer: C) 6

Solution:
x + 5 = 11
Subtract 5 from both sides:
x = 11 – 5
x = 6Content Area: Algebra (Linear Equations)
Difficulty: Easy

Question 2

Correct Answer: C) 5/6

Solution:
(2/3) + (1/6)
Find common denominator (6):
(4/6) + (1/6) = 5/6Content Area: Problem-Solving & Data Analysis (Fractions)
Difficulty: Easy

Question 3

Correct Answer: C) 160

Solution:
Perimeter = 2(length + width)
Perimeter = 2(50 + 30)
Perimeter = 2(80) = 160 metersContent Area: Geometry (Perimeter)
Difficulty: Easy

Question 4

Correct Answer: C) 6

Solution:
3x – 2 = 16
Add 2 to both sides: 3x = 18
Divide by 3: x = 6Content Area: Algebra (Linear Equations)
Difficulty: Easy

Question 5

Correct Answer: B) $15

Solution:
Each person’s share = Total cost ÷ Number of people
Each person’s share = $75 ÷ 5 = $15Content Area: Problem-Solving & Data Analysis (Division)
Difficulty: Easy

Question 6

Correct Answer: A) 2

Solution:
2x + 3y when x = 4 and y = -2
= 2(4) + 3(-2)
= 8 – 6 = 2Content Area: Algebra (Substitution)
Difficulty: Easy-Medium

Question 7

Correct Answer: C) 180

Solution:
Distance = Speed × Time
Distance = 60 mph × 3 hours = 180 milesContent Area: Problem-Solving & Data Analysis (Rate × Time)
Difficulty: Easy

Question 8

Correct Answer: B) 8x – 10

Solution:
3(2x – 4) + 2(x + 1)
= 6x – 12 + 2x + 2
Combine like terms:
= (6x + 2x) + (–12 + 2)
= 8x – 10Content Area: Algebra (Expanding & Simplifying)
Difficulty: Medium

Question 9

Correct Answer: C) 6

Solution:
Area = Length × Width
48 = 8 × Width
Width = 48 ÷ 8 = 6 metersContent Area: Geometry (Area)
Difficulty: Easy

Question 10

Correct Answer: D) x = 8

Solution:
2(x – 3) = 10
Divide both sides by 2: x – 3 = 5
Add 3 to both sides: x = 8Content Area: Algebra (Linear Equations)
Difficulty: Easy-Medium

Question 11

Correct Answer: B) 3 hours

Solution:
Time = Distance ÷ Speed
Time = 210 miles ÷ 70 mph = 3 hoursContent Area: Problem-Solving & Data Analysis (Rate Problems)
Difficulty: Easy

Question 12

Correct Answer: A) x² + 8x – 6

Solution:
(3x² + 5x – 2) – (2x² – 3x + 4)
Distribute the negative sign:
= 3x² + 5x – 2 – 2x² + 3x – 4
Combine like terms:
= (3x² – 2x²) + (5x + 3x) + (–2 – 4)
= x² + 8x – 6Content Area: Algebra (Polynomial Operations)
Difficulty: Medium

Question 13

Correct Answer: C) 5

Solution:
Number of batches = Total cupcakes ÷ Cupcakes per batch
Number of batches = 120 ÷ 24 = 5Content Area: Problem-Solving & Data Analysis (Division)
Difficulty: Easy

Question 14

Correct Answer: D) x = 6

Solution:
3(x + 2) – 2(x – 1) = 14
Expand: 3x + 6 – 2x + 2 = 14
Combine like terms: x + 8 = 14
Subtract 8: x = 6Content Area: Algebra (Multi-step Equations)
Difficulty: Medium

Question 15

Correct Answer: B) 9

Solution:
Ratio parts: 3 (boys) + 5 (girls) = 8 total parts
Each part = 24 ÷ 8 = 3 students
Boys = 3 parts × 3 students/part = 9 boysContent Area: Problem-Solving & Data Analysis (Ratios)
Difficulty: Medium

Question 16

Correct Answer: A) 2x – 1

Solution:
(4x² – 2x) ÷ (2x)
Factor numerator: 2x(2x – 1) ÷ (2x)
Cancel 2x: = 2x – 1Note: Original question had an error. The corrected version uses a factorable expression.
Content Area: Algebra (Algebraic Division)
Difficulty: Medium

Question 17

Correct Answer: C) $32

Solution:
Discount = 20% of $40 = 0.20 × $40 = $8
Final price = $40 – $8 = $32Alternative Method: Pay 80% of original price
0.80 × $40 = $32

Content Area: Problem-Solving & Data Analysis (Percentages)
Difficulty: Easy-Medium

Question 18

Correct Answer: A) x = 2 or x = -8

Solution:
(x + 3)² = 25
Take square root of both sides: x + 3 = ±5
Case 1: x + 3 = 5 → x = 2
Case 2: x + 3 = –5 → x = –8Content Area: Advanced Math (Quadratic Equations)
Difficulty: Medium

Question 19

Correct Answer: A) 8π units

Solution:
Area = πr² = 16π
r² = 16 → r = 4
Circumference = 2πr = 2π(4) = 8π unitsContent Area: Geometry (Circles)
Difficulty: Medium

Question 20

Correct Answer: C) x = 3

Solution:
2(x + 3)/(x – 1) = 6
Cross-multiply: 2(x + 3) = 6(x – 1)
Expand: 2x + 6 = 6x – 6
Rearrange: 12 = 4x
Divide: x = 3Content Area: Advanced Math (Rational Equations)
Difficulty: Medium-Hard

Question 21

Correct Answer: C) 20 and 10

Solution:
Let numbers be a and b
a + b = 30
a – b = 10
Add equations: 2a = 40 → a = 20
Then b = 30 – 20 = 10Content Area: Algebra (Systems of Equations)
Difficulty: Medium

Question 22

Correct Answer: A) x + 3

Solution:
(x² – 9)/(x – 3)
Factor numerator (difference of squares):
= (x – 3)(x + 3)/(x – 3)
Cancel (x – 3): = x + 3Note: x ≠ 3 is specified to avoid division by zero
Content Area: Advanced Math (Factoring)
Difficulty: Medium

Question 23

Correct Answer: A) 6√5

Solution:
Slant height l = √(r² + h²)
l = √(6² + 12²)
l = √(36 + 144) = √180
l = √(36 × 5) = 6√5 inchesContent Area: Geometry & Trigonometry (3D Shapes)
Difficulty: Medium-Hard

Question 24

Correct Answer: A) x = 5 or x = -1

Solution:
(x – 2)² = 9
Take square root: x – 2 = ±3
Case 1: x – 2 = 3 → x = 5
Case 2: x – 2 = –3 → x = –1Content Area: Advanced Math (Quadratic Equations)
Difficulty: Medium

Question 25

Correct Answer: B) 3

Solution:
In slope-intercept form y = mx + b:
m = slope, b = y-intercept
For y = 2x + 3:
y-intercept = 3Content Area: Algebra (Linear Functions)
Difficulty: Easy

Score Interpretation Guide

How to Assess Your Performance:

  • 23-25 correct (92%+): Excellent! You’re scoring in the top range. Focus on timing and consistency.
  • 20-22 correct (80-88%): Strong performance. Review missed questions and strengthen weak areas.
  • 17-19 correct (68-76%): Good foundation. Identify content gaps and practice targeted skills.
  • 14-16 correct (56-64%): Adequate grasp. Systematic review of fundamentals needed.
  • Below 14 correct (<56%): Needs improvement. Focus on basic concepts before advanced topics.

Next Steps for Improvement

Content-Specific Practice:

  • Algebra struggles: Practice linear equations, systems, and factoring daily
  • Advanced Math challenges: Review quadratics, exponentials, and function transformations
  • Word problem difficulties: Practice translating English to mathematical expressions
  • Geometry gaps: Memorize formulas for area, perimeter, volume, and special triangles

Strategic Improvements:

  • Timing issues: Practice with strict time limits (35 minutes for 22-25 questions)
  • Calculation errors: Always show work on scratch paper, even with calculator
  • Desmos underutilization: Practice graphing, solving systems, and verifying answers
  • Process of elimination: Cross out clearly wrong answers before solving

Additional Resources

  • Official Practice: Bluebook app provides 4 full-length Digital SAT practice tests
  • Khan Academy: Free personalized SAT prep aligned with College Board
  • Desmos Tutorial: Check out our comprehensive Desmos guide for SAT-specific strategies
  • Content Review: Review weak content areas using targeted practice

Conclusion

This practice test covered all major content areas of the Digital SAT Math section. Use your results to identify strengths and weaknesses, then create a targeted study plan. Remember:

  • Quality practice beats quantity – thoroughly review every mistake
  • The Digital SAT is adaptive – strong Module 1 performance unlocks higher scores
  • Calculator proficiency with Desmos can save significant time
  • No penalty for wrong answers means you should attempt every question
  • Consistent daily practice (30-60 minutes) outperforms cramming
Important Note: The actual Digital SAT contains 22 questions per module (44 total across two modules). This 25-question practice set provides extra practice across all content areas. Time yourself at 35 minutes to simulate actual test conditions.

Practice test created for SAT preparation purposes. Questions are designed to reflect Digital SAT content and difficulty but are not official College Board material. For official practice tests, visit collegeboard.org and download the Bluebook application.

Related Resources: Digital SAT Complete Guide | Desmos Calculator Hacks for SAT | SAT Math Formula Sheet | College Application Timeline

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