18 is 40% of what number?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve problems with ratios, proportions, and percents. The answer is worked out from the numbers in the question.
√75 lies between which two whole numbers?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: compare magnitudes of rational and irrational numbers. The answer is worked out from the numbers in the question.
A car uses 3 gallons of gas to go 84 miles. At that rate, how far can it go on 11 gallons?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve proportional relationship problems in context. The answer is worked out from the numbers in the question.
A class has 12 juniors and 18 seniors. What is the ratio of juniors to all students in the class?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve problems with ratios, proportions, and percents. The answer is worked out from the numbers in the question.
A club grew from 80 members to 92 members. What was the percent increase?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve problems with ratios, proportions, and percents. The answer is worked out from the numbers in the question.
Show all 80 questions (75 more)
Quantitative reasoning, continued
A phone plan costs $25 a month plus $0.10 for each text. What is the bill for a month with 140 texts?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve proportional relationship problems in context. The answer is worked out from the numbers in the question.
A recipe uses flour and sugar in the ratio 5 to 2. How much sugar goes with 15 cups of flour?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve problems with ratios, proportions, and percents. The answer is worked out from the numbers in the question.
A savings account pays simple interest of 4% a year. How much interest does $1,500 earn in 3 years?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve proportional relationship problems in context. The answer is worked out from the numbers in the question.
A store marks a $64 backpack 15% off. What is the sale price?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve problems with ratios, proportions, and percents. The answer is worked out from the numbers in the question.
A taxi charges a $4 flat fee plus $2.25 a mile. A ride cost $31. How many miles was the ride?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve proportional relationship problems in context. The answer is worked out from the numbers in the question.
A worker earns $13.50 an hour. How many hours must she work to earn $351?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve proportional relationship problems in context. The answer is worked out from the numbers in the question.
In a survey of 250 students, 30 said they walk to school. What percent of the students walk?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve problems with ratios, proportions, and percents. The answer is worked out from the numbers in the question.
In y = 45x + 120, y is the cost in dollars of renting a hall for x hours. What does 45 stand for?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: identify, manipulate, and interpret linear equations, inequalities, and expressions. The answer is worked out from the numbers in the question.
On a map, 2 inches stand for 25 miles. Two towns are 7 inches apart on the map. How far apart are the towns?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: solve problems with ratios, proportions, and percents. The answer is worked out from the numbers in the question.
Round 4,738.56 to the nearest hundred.TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: round numbers to a given decimal place (Diagnostic Test only). The answer is worked out from the numbers in the question.
Simplify 3(2x − 5) − 4x.TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: identify, manipulate, and interpret linear equations, inequalities, and expressions. The answer is worked out from the numbers in the question.
What is 5/8 + 1/6?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: perform basic math operations with whole numbers, decimals, and fractions (Diagnostic Test only). The answer is worked out from the numbers in the question.
What is the slope of the line 3x + 2y = 12?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: identify, manipulate, and interpret linear equations, inequalities, and expressions. The answer is worked out from the numbers in the question.
What is the value of 4a − 3b when a = 5 and b = −2?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: identify, manipulate, and interpret linear equations, inequalities, and expressions. The answer is worked out from the numbers in the question.
What is √18 × √2?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: compare magnitudes of rational and irrational numbers. The answer is worked out from the numbers in the question.
Which inequality says "five less than twice a number n is at least 9"?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: identify, manipulate, and interpret linear equations, inequalities, and expressions. The answer is worked out from the numbers in the question.
Which list puts 0.4, 3/8 and 45% in order from least to greatest?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: compare numbers in a variety of forms (Diagnostic Test only). The answer is worked out from the numbers in the question.
Which of the numbers 22/3, √50, 7 and 7.2 is greatest?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: compare magnitudes of rational and irrational numbers. The answer is worked out from the numbers in the question.
Which of the numbers √12, √49, −0.75 and 2/3 is irrational?TSIA2 Mathematics Test Specifications (v1.4), Quantitative Reasoning: compare magnitudes of rational and irrational numbers. The answer is worked out from the numbers in the question.
Algebraic reasoning 28
$4,000 is invested at 3% interest, compounded once a year. What is it worth after 2 years?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve quadratic and exponential relationship problems in context. The answer is worked out from the numbers in the question.
A $24,000 car loses 10% of its value each year. What is it worth after 2 years?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve quadratic and exponential relationship problems in context. The answer is worked out from the numbers in the question.
A culture of 300 bacteria doubles every 4 hours. How many bacteria are there after 12 hours?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve quadratic and exponential relationship problems in context. The answer is worked out from the numbers in the question.
A line passes through (0, −2) and (3, 4). What is its equation?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve linear equations, inequalities, and systems of linear equations. The answer is worked out from the numbers in the question.
A rectangle is 3 meters longer than it is wide. Its area is 40 square meters. How wide is it?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve quadratic and exponential relationship problems in context. The answer is worked out from the numbers in the question.
Factor x² − 5x − 14.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: identify and manipulate quadratic, polynomial, exponential, rational, and radical expressions. The answer is worked out from the numbers in the question.
For f(x) = (1/2)x + 9, which value of x gives f(x) = 15?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: evaluate linear functions. The answer is worked out from the numbers in the question.
The height of a ball in feet, t seconds after it is thrown, is h = −16t² + 64t. How high is the ball after 3 seconds?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve quadratic and exponential relationship problems in context. The answer is worked out from the numbers in the question.
If f(x) = 3 · 2ˣ, what is f(4)?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve equations and evaluate functions (quadratic, polynomial, exponential, rational, radical). The answer is worked out from the numbers in the question.
If f(x) = 3x − 8, what is f(6)?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: evaluate linear functions. The answer is worked out from the numbers in the question.
If f(x) = x² − 4x + 1, what is f(−3)?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve equations and evaluate functions (quadratic, polynomial, exponential, rational, radical). The answer is worked out from the numbers in the question.
If g(x) = −2x + 5, what is g(−4)?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: evaluate linear functions. The answer is worked out from the numbers in the question.
If y = 2x + 1 and 3x + y = 16, what is y?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve linear equations, inequalities, and systems of linear equations. The answer is worked out from the numbers in the question.
Multiply (2x + 3)(x − 4).TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: identify and manipulate quadratic, polynomial, exponential, rational, and radical expressions. The answer is worked out from the numbers in the question.
Simplify (x² − 9)/(x + 3), where x is not −3.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: identify and manipulate quadratic, polynomial, exponential, rational, and radical expressions. The answer is worked out from the numbers in the question.
Simplify (x³)² · x⁴.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: identify and manipulate quadratic, polynomial, exponential, rational, and radical expressions. The answer is worked out from the numbers in the question.
Simplify √48.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: identify and manipulate quadratic, polynomial, exponential, rational, and radical expressions. The answer is worked out from the numbers in the question.
Solve 2ˣ = 32.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve equations and evaluate functions (quadratic, polynomial, exponential, rational, radical). The answer is worked out from the numbers in the question.
Solve 3/(x − 2) = 6.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve equations and evaluate functions (quadratic, polynomial, exponential, rational, radical). The answer is worked out from the numbers in the question.
Solve 5x − 7 = 2x + 14.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve linear equations, inequalities, and systems of linear equations. The answer is worked out from the numbers in the question.
Solve x/4 + 3 = 8.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve linear equations, inequalities, and systems of linear equations. The answer is worked out from the numbers in the question.
Solve x² − 6x + 8 = 0.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve equations and evaluate functions (quadratic, polynomial, exponential, rational, radical). The answer is worked out from the numbers in the question.
Solve −3x + 4 > 19.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve linear equations, inequalities, and systems of linear equations. The answer is worked out from the numbers in the question.
Solve √(x + 4) = 6.TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve equations and evaluate functions (quadratic, polynomial, exponential, rational, radical). The answer is worked out from the numbers in the question.
Subtract: (5x² − 2x + 7) − (3x² + 4x − 1).TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: identify and manipulate quadratic, polynomial, exponential, rational, and radical expressions. The answer is worked out from the numbers in the question.
Tickets cost $8 for adults and $5 for children. A group of 12 people paid $78. How many adults were in the group?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve linear equations, inequalities, and systems of linear equations. The answer is worked out from the numbers in the question.
What is the value of 8^(2/3)?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: identify and manipulate quadratic, polynomial, exponential, rational, and radical expressions. The answer is worked out from the numbers in the question.
Which pair (x, y) solves both x + y = 12 and x − y = 2?TSIA2 Mathematics Test Specifications (v1.4), Algebraic Reasoning: solve linear equations, inequalities, and systems of linear equations. The answer is worked out from the numbers in the question.
Geometric and spatial reasoning 12
A closed box is 5 feet long, 4 feet wide and 3 feet high. What is its surface area?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: find perimeter, area, surface area, and volume. The answer is worked out from the numbers in the question.
A cylinder has a radius of 3 inches and a height of 10 inches. What is its volume in cubic inches?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: find perimeter, area, surface area, and volume. The answer is worked out from the numbers in the question.
A mile is 5,280 feet. How many feet are in 2.5 miles?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: convert units within systems of measurement. The answer is worked out from the numbers in the question.
A tank holds 3,500 milliliters of water. How many liters is that?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: convert units within systems of measurement. The answer is worked out from the numbers in the question.
A triangle has a base of 22 centimeters and a height of 9 centimeters. What is its area?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: find perimeter, area, surface area, and volume. The answer is worked out from the numbers in the question.
In a right triangle, the side opposite angle A is 5 and the hypotenuse is 13. What is cos A?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: apply right triangle relationships and basic trigonometry. The answer is worked out from the numbers in the question.
The legs of a right triangle are 9 and 40. How long is the hypotenuse?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: apply right triangle relationships and basic trigonometry. The answer is worked out from the numbers in the question.
The point (3, −5) is reflected across the x-axis. Where does it land?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: use transformations to investigate congruence, similarity, and symmetry. The answer is worked out from the numbers in the question.
Two angles are supplementary. One measures 72°. What does the other measure?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: identify and define types of angles (Diagnostic Test only). Supplementary angles sum to 180°: Wikipedia, Angle.
Two triangles are similar. The smaller has sides 6, 8 and 10. The shortest side of the larger is 15. How long is its longest side?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: use transformations to investigate congruence, similarity, and symmetry. The answer is worked out from the numbers in the question.
What is the distance between the points (−5, −1) and (3, 14)?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: make connections between geometry and algebraic equations. The answer is worked out from the numbers in the question.
What is the midpoint of the segment from (−4, 6) to (10, −2)?TSIA2 Mathematics Test Specifications (v1.4), Geometric and Spatial Reasoning: make connections between geometry and algebraic equations. The answer is worked out from the numbers in the question.
Probability and statistics 16
A bag holds 5 red, 3 blue and 4 green marbles. One marble is drawn at random. What is the probability that it is blue?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and interpret probability. The answer is worked out from the numbers in the question.
A fair coin is tossed 3 times. What is the probability of 3 heads?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and interpret probability. The answer is worked out from the numbers in the question.
A fair six-sided die is rolled once. What is the probability of a number greater than 4?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and interpret probability. The answer is worked out from the numbers in the question.
A spinner has 8 equal sections numbered 1 to 8. What is the probability of landing on an even number or on 1?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and interpret probability. The answer is worked out from the numbers in the question.
A store sold 120 shirts: 30 small, 54 medium and 36 large. In a circle graph of the sales, what is the central angle of the slice for medium?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: analyze, interpret, and draw conclusions from data. The answer is worked out from the numbers in the question.
A student scored 78, 85 and 90 on three tests. What score on a fourth test gives a mean of 86?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and describe measures of center and spread of data. The answer is worked out from the numbers in the question.
The ages of nine club members are 14, 15, 15, 16, 14, 17, 15, 16 and 15. How many members are 15?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: sort and count data (Diagnostic Test only). The answer is worked out from the numbers in the question.
Every value in the data set 5, 6, 7, 8, 9 is increased by 10. What happens to the mean and the range?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: analyze, interpret, and draw conclusions from data. The answer is worked out from the numbers in the question.
In a survey, 40 of 100 ninth graders and 30 of 50 tenth graders ride the bus. Which statement is true?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: analyze, interpret, and draw conclusions from data. The answer is worked out from the numbers in the question.
The probability of rain tomorrow is 0.35. What is the probability that it does not rain?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and interpret probability. The answer is worked out from the numbers in the question.
What is the mean of 14, 9, 23, 18 and 21?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and describe measures of center and spread of data. The answer is worked out from the numbers in the question.
What is the median of 7, 3, 10, 4, 12 and 8?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and describe measures of center and spread of data. The answer is worked out from the numbers in the question.
What is the mode of 4, 6, 6, 7, 9, 9, 9 and 11?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and describe measures of center and spread of data. The answer is worked out from the numbers in the question.
What is the range of 23, 41, 18, 36 and 29?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: compute and describe measures of center and spread of data. The answer is worked out from the numbers in the question.
Which display is made to show the share of a whole that each category takes, such as the parts of a budget?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: classify data and construct appropriate representations of data. A pie chart is divided into slices to show proportion: Wikipedia, Pie chart.
Which of these is categorical data, not numerical data?TSIA2 Mathematics Test Specifications (v1.4), Probabilistic and Statistical Reasoning: classify data and construct appropriate representations of data. Categorical data assigns each unit to a group or category: Wikipedia, Categorical variable.
How this list was compiled: Our own questions, written to the TSIA2 Mathematics Test Specifications (Version 1.4), prepared for the Texas Higher Education Coordinating Board by College Board (https://reportcenter.highered.texas.gov/training-materials/tsia2-math-test-specifications-v1-4/, linked from https://www.highered.texas.gov/texas-success-initiative/, both read 2026-10-12): four content categories and their subcategories, and a College Readiness Classification test of 20 questions (6 Quantitative Reasoning, 7 Algebraic Reasoning, 3 Geometric and Spatial Reasoning, 4 Probabilistic and Statistical Reasoning). The bank keeps those shares: 24, 28, 12 and 16. Five questions cover subcategories the specifications mark as Diagnostic Test only, and each says so. Every answer is arithmetic, algebra or geometry on what the question itself prints, and each was worked out a second time from the numbers the question prints, on 2026-10-12. Three definitions (supplementary angles, categorical data, the circle graph) were read at Wikipedia on 2026-10-12. Licence: Questions, choices and explanations are original work of this site.
How it works
This free TSI math practice test has 80 problems of our own on the mathematics of the TSIA2, the version of the test given now. Unofficial, and not affiliated with the Texas Higher Education Coordinating Board or College Board.
Read the full guide
What the real test asks
The TSIA2 Mathematics Test Specifications, read October 12, 2026, give the College Readiness Classification (CRC) test 20 multiple-choice questions: 6 on quantitative reasoning, 7 on algebraic reasoning, 3 on geometric and spatial reasoning and 4 on probabilistic and statistical reasoning. This bank keeps those shares: 24, 28, 12 and 16.
Scores
The CRC test is untimed, computer adaptive and scored from 910 to 990. A score under the college readiness benchmark leads to a 48-question Diagnostic Test, 12 questions per area. Exam mode here asks 20 questions with no clock.
Reading the notation
Powers are written x² or x¹⁰, and other exponents use a caret, as in 8^(2/3). √ means a square root, and π is left as a symbol.
You may retake the TSIA2 at any time. The testing center at your college has the details.
Questions and answers
Is there a printable TSI math practice test?
Yes. Print the question sheet puts 20 questions on paper in the shares of the real test: 6, 7, 3 and 4 by content area. Tick With answer key to add the answers with their working, and choose Save as PDF to keep the file.
What math is on the TSI test?
Four areas. Quantitative reasoning: ratios, percents and linear expressions. Algebraic reasoning: linear, quadratic and exponential equations and functions. Geometric and spatial reasoning: measurement, transformations and right triangles. Probabilistic and statistical reasoning: probability, center and spread, and data displays.
What is a passing score on the TSI math test?
Nobody passes or fails. The state’s score brochure counts 950 to 990 on the CRC test as college ready in mathematics, and also a CRC score below 950 with a Diagnostic Test level of 6.
Can you use a calculator on the TSI math test?
Not your own. The student brochure says handheld calculators are not permitted on the online test. Some questions offer a pop-up calculator: basic, square root or graphing.