TSI Math Actual Exam 2026/2027 |
Verified Questions
Texas Success Initiative Assessment (TSIA2) | Verified Q&A | College Readiness
Candidates
Introduction
Welcome to the comprehensive set of original verified questions compiled for the TSI Math Actual Exam
2026/2027. This preparatory document contains exactly 20 highly detailed questions designed to reflect
the rigorous standards and objectives of the official Texas Success Initiative Assessment (TSIA2)
Mathematics College Readiness Classification blueprint. The questions are evenly distributed across four
primary content domains: Quantitative Reasoning (5 questions), Algebraic Reasoning (5 questions),
Geometric and Spatial Reasoning (5 questions), and Statistics and Data Analysis (5 questions). This
original content is designed to reinforce core mathematical competencies, supporting College Readiness
Candidates in achieving academic placement success and securing their pathways in Higher Education
institutions.
Domain: Quantitative Reasoning
Question 1: [Fractions, Decimals, and Percents Word Problem]
A student spent 1/5 of their monthly textbook allowance on a mathematics workbook, 3/8
of the remaining allowance on reference materials, and the rest on a scientific calculator.
If the total monthly allowance is $120.00, how much money was spent on the scientific
calculator?
(A) $60.00
(B) $36.00
(C) $24.00
(D) $62.00
Correct Answer: A
Rationale: First, calculate the money spent on the mathematics workbook: 1/5 * $120.00 = $24.00.
The remaining allowance is $120.00 - $24.00 = $96.00. Next, calculate the money spent on reference
materials: 3/8 of the remaining $96.00, which is 3/8 * $96.00 = $36.00. The amount spent on the
scientific calculator is the final remainder: $96.00 - $36.00 = $60.00. This tests multi-step quantitative
problem-solving.
TSI Math Actual Exam 2026/2027
, Question 2: [Ratios and Proportions]
An architectural blueprint uses a scale where 3/4 inch represents 10 feet. If the length of a
rectangular laboratory on the blueprint is 4.5 inches, what is the actual length of the
laboratory in feet?
(A) 50 feet
(B) 45 feet
(C) 60 feet
(D) 75 feet
Correct Answer: C
Rationale: Set up a proportion where x represents the actual length of the laboratory: (3/4 inch / 10
feet) = (4.5 inches / x feet). Cross-multiply to solve for x: (3/4) * x = 4.5 * 10 -> 0.75x = 45 -> x = 45 /
0.75 = 60 feet. This represents a standard algebraic ratio and proportion application.
Question 3: [Exponents and Radicals]
Simplify the mathematical expression completely:
(8x^6)^(2/3)
(A) 2x^4
(B) 4x^2
(C) 4x^4
(D) 4x^3
Correct Answer: C
Rationale: Distribute the fractional exponent of 2/3 to each factor inside the parentheses: (8)^(2/3) *
(x^6)^(2/3). Calculate the numerical coefficient: 8^(2/3) = (cube_root(8))^2 = 2^2 = 4. Apply the
power rule of exponents to the variable: (x^6)^(2/3) = x^(6 * 2/3) = x^4. Combine the simplified terms
to yield 4x^4. This tests laws of exponents.
Question 4: [Scientific Notation]
Perform the division and express the final result in standard scientific notation:
(4.5 x 10^7) / (1.5 x 10^-3)
(A) 3.0 x 10^4
(B) 3.0 x 10^10
(C) 3.0 x 10^-10
(D) 3.0 x 10^11
Correct Answer: B
Rationale: First, divide the numerical coefficients: 4..5 = 3.0. Next, apply the quotient rule of
exponents to the powers of 10: 10^^-3 = 10^(7 - (-3)) = 10^(7 + 3) = 10^10. Combining the results
yields 3.0 x 10^10. This tests calculations with very large and small numbers.
TSI Math Actual Exam 2026/2027
Verified Questions
Texas Success Initiative Assessment (TSIA2) | Verified Q&A | College Readiness
Candidates
Introduction
Welcome to the comprehensive set of original verified questions compiled for the TSI Math Actual Exam
2026/2027. This preparatory document contains exactly 20 highly detailed questions designed to reflect
the rigorous standards and objectives of the official Texas Success Initiative Assessment (TSIA2)
Mathematics College Readiness Classification blueprint. The questions are evenly distributed across four
primary content domains: Quantitative Reasoning (5 questions), Algebraic Reasoning (5 questions),
Geometric and Spatial Reasoning (5 questions), and Statistics and Data Analysis (5 questions). This
original content is designed to reinforce core mathematical competencies, supporting College Readiness
Candidates in achieving academic placement success and securing their pathways in Higher Education
institutions.
Domain: Quantitative Reasoning
Question 1: [Fractions, Decimals, and Percents Word Problem]
A student spent 1/5 of their monthly textbook allowance on a mathematics workbook, 3/8
of the remaining allowance on reference materials, and the rest on a scientific calculator.
If the total monthly allowance is $120.00, how much money was spent on the scientific
calculator?
(A) $60.00
(B) $36.00
(C) $24.00
(D) $62.00
Correct Answer: A
Rationale: First, calculate the money spent on the mathematics workbook: 1/5 * $120.00 = $24.00.
The remaining allowance is $120.00 - $24.00 = $96.00. Next, calculate the money spent on reference
materials: 3/8 of the remaining $96.00, which is 3/8 * $96.00 = $36.00. The amount spent on the
scientific calculator is the final remainder: $96.00 - $36.00 = $60.00. This tests multi-step quantitative
problem-solving.
TSI Math Actual Exam 2026/2027
, Question 2: [Ratios and Proportions]
An architectural blueprint uses a scale where 3/4 inch represents 10 feet. If the length of a
rectangular laboratory on the blueprint is 4.5 inches, what is the actual length of the
laboratory in feet?
(A) 50 feet
(B) 45 feet
(C) 60 feet
(D) 75 feet
Correct Answer: C
Rationale: Set up a proportion where x represents the actual length of the laboratory: (3/4 inch / 10
feet) = (4.5 inches / x feet). Cross-multiply to solve for x: (3/4) * x = 4.5 * 10 -> 0.75x = 45 -> x = 45 /
0.75 = 60 feet. This represents a standard algebraic ratio and proportion application.
Question 3: [Exponents and Radicals]
Simplify the mathematical expression completely:
(8x^6)^(2/3)
(A) 2x^4
(B) 4x^2
(C) 4x^4
(D) 4x^3
Correct Answer: C
Rationale: Distribute the fractional exponent of 2/3 to each factor inside the parentheses: (8)^(2/3) *
(x^6)^(2/3). Calculate the numerical coefficient: 8^(2/3) = (cube_root(8))^2 = 2^2 = 4. Apply the
power rule of exponents to the variable: (x^6)^(2/3) = x^(6 * 2/3) = x^4. Combine the simplified terms
to yield 4x^4. This tests laws of exponents.
Question 4: [Scientific Notation]
Perform the division and express the final result in standard scientific notation:
(4.5 x 10^7) / (1.5 x 10^-3)
(A) 3.0 x 10^4
(B) 3.0 x 10^10
(C) 3.0 x 10^-10
(D) 3.0 x 10^11
Correct Answer: B
Rationale: First, divide the numerical coefficients: 4..5 = 3.0. Next, apply the quotient rule of
exponents to the powers of 10: 10^^-3 = 10^(7 - (-3)) = 10^(7 + 3) = 10^10. Combining the results
yields 3.0 x 10^10. This tests calculations with very large and small numbers.
TSI Math Actual Exam 2026/2027
