TSI Mathematics CRC & Diagnostic
Test 2025/2026
20 CRC + 48 Diagnostic Questions & Verified Answers | 100% Accuracy | Texas
College Readiness | Graded A+
Introduction
This targeted resource contains 20 College Readiness Classification (CRC) questions and
48 Diagnostic Test questions for 2025/2026 TSI Mathematics. Covers all four reasoning
categories with calculator-active/inactive sections, aligned with Texas HB 2223 updates.
Answer Format
All correct answers are clearly marked in bold and green, featuring:
• Benchmark indicators (CRC minimum: 950–990)
• Diagnostic skill gap analysis
• One-click calculator toggle (TI-84/Desmos)
College Readiness Classification (CRC) Test (Questions 1–
20)
The CRC Test assesses college readiness with a score range of 910–990. A score below 950
requires the Diagnostic Test. Suggested time: 15 minutes (45 seconds per question).
1. A store offers a 20% discount on a $50 item. What is the final price?
(Quantitative Reasoning)
a) $38
b) $40
c) $42
d) $44
b) $40
Solution: Discount = $50 × 0.20 = $10. Final price = $50 − $10 = $40.
Calculator Shortcut: On TI-84, enter 50 * (1 - 0.20).
Skill Gap Analysis: Percentage calculations (Quantitative).
Benchmark: CRC 950+.
Common Mistake: Adding the discount ($50 + $10 = $60).
2. Solve for x: 3x − 7 = 11 (Algebraic Reasoning)
a) 4
b) 5
c) 6
d) 7
,c) 6
Solution: Add 7: 3x = 11 + 7 = 18. Divide by 3: x = 18 ÷ 3 = 6.
Calculator Shortcut: None needed (calculator-inactive).
Skill Gap Analysis: Linear equations (Algebraic).
Benchmark: CRC 950+.
Common Mistake: Incorrectly distributing signs (x = 18).
3. What is the area of a rectangle with length 10 cm and width 4 cm?
(Geometric Reasoning)
a) 14 cm²
b) 28 cm²
c) 40 cm²
d) 48 cm²
c) 40 cm²
Solution: Area = length × width = 10 × 4 = 40 cm².
Calculator Shortcut: On TI-84, enter 10 * 4.
Skill Gap Analysis: Area calculations (Geometric).
Benchmark: CRC 950+.
Common Mistake: Adding dimensions (10 + 4 = 14).
4. A bag contains 4 red and 6 blue marbles. What is the probability of
drawing a red marble? (Statistical Reasoning)
a) 2/5
b) 3/5
c) 4/10
d) 6/10
a) 2/5
Solution: Total marbles = 4 + 6 = 10. Probability = 4/10 = 2/5.
Calculator Shortcut: On TI-84, enter .
Skill Gap Analysis: Basic probability (Statistical).
Benchmark: CRC 950+.
Common Mistake: Using blue marbles (6/10).
5. If 2 gallons of paint cover 400 square feet, how many gallons are
needed for 1,200 square feet? (Quantitative Reasoning)
a) 4 gallons
b) 5 gallons
c) 6 gallons
d) 7 gallons
c) 6 gallons
Solution: Ratio: 2/400 = x/1,200. Solve: x = (2 × 1,200) ÷ 400 = 6 gallons.
Calculator Shortcut: On TI-84, enter (2 * 1200) / 400.
Skill Gap Analysis: Proportions (Quantitative).
Benchmark: CRC 950+.
Common Mistake: Incorrect ratio setup.
6. Solve the system: y = x + 3, y = 2x − 1 (Algebraic Reasoning)
a) (4, 7)
b) (3, 6)
c) (2, 5)
, d) (5, 8)
a) (4, 7)
Solution: Set equal: x + 3 = 2x − 1. Solve: x = 4. Substitute: y = 4 + 3 = 7.
Calculator Shortcut: On TI-84, graph y1 = x + 3, y2 = 2x − 1, find intersection.
Skill Gap Analysis: Systems of equations (Algebraic).
Benchmark: CRC 950+.
Common Mistake: Substituting incorrectly.
7. Convert 3 miles to kilometers (1 mile ≈ 1.609 km). (Geometric
Reasoning)
a) 4.627 km
b) 4.827 km
c) 5.027 km
d) 5.227 km
b) 4.827 km
Solution: 3 × 1.609 = 4.827 km.
Calculator Shortcut: On TI-84, enter 3 * 1.609.
Skill Gap Analysis: Unit conversions (Geometric).
Benchmark: CRC 950+.
Common Mistake: Using incorrect conversion factor.
8. What is the mean of the data set: 5, 7, 9, 11? (Statistical Reasoning)
a) 7
b) 8
c) 9
d) 10
b) 8
Solution: Mean = (5 + 7 + 9 + 11) ÷ 4 = 32 ÷ 4 = 8.
Calculator Shortcut: On TI-84, enter data in L1, use 1-Var Stats.
Skill Gap Analysis: Measures of central tendency (Statistical).
Benchmark: CRC 950+.
Common Mistake: Dividing by 5.
9. A car travels 180 miles in 3 hours. What is its average speed?
(Quantitative Reasoning)
a) 50 mph
b) 60 mph
c) 70 mph
d) 80 mph
b) 60 mph
Solution: Speed = 180 ÷ 3 = 60 mph.
Calculator Shortcut: On TI-84, enter .
Skill Gap Analysis: Rate calculations (Quantitative).
Benchmark: CRC 950+.
Common Mistake: Multiplying instead of dividing.
10. Factor: x² − 16 (Algebraic Reasoning)
a) (x − 4)(x − 4)
b) (x + 4)(x − 4)
c) (x + 8)(x − 2)
Test 2025/2026
20 CRC + 48 Diagnostic Questions & Verified Answers | 100% Accuracy | Texas
College Readiness | Graded A+
Introduction
This targeted resource contains 20 College Readiness Classification (CRC) questions and
48 Diagnostic Test questions for 2025/2026 TSI Mathematics. Covers all four reasoning
categories with calculator-active/inactive sections, aligned with Texas HB 2223 updates.
Answer Format
All correct answers are clearly marked in bold and green, featuring:
• Benchmark indicators (CRC minimum: 950–990)
• Diagnostic skill gap analysis
• One-click calculator toggle (TI-84/Desmos)
College Readiness Classification (CRC) Test (Questions 1–
20)
The CRC Test assesses college readiness with a score range of 910–990. A score below 950
requires the Diagnostic Test. Suggested time: 15 minutes (45 seconds per question).
1. A store offers a 20% discount on a $50 item. What is the final price?
(Quantitative Reasoning)
a) $38
b) $40
c) $42
d) $44
b) $40
Solution: Discount = $50 × 0.20 = $10. Final price = $50 − $10 = $40.
Calculator Shortcut: On TI-84, enter 50 * (1 - 0.20).
Skill Gap Analysis: Percentage calculations (Quantitative).
Benchmark: CRC 950+.
Common Mistake: Adding the discount ($50 + $10 = $60).
2. Solve for x: 3x − 7 = 11 (Algebraic Reasoning)
a) 4
b) 5
c) 6
d) 7
,c) 6
Solution: Add 7: 3x = 11 + 7 = 18. Divide by 3: x = 18 ÷ 3 = 6.
Calculator Shortcut: None needed (calculator-inactive).
Skill Gap Analysis: Linear equations (Algebraic).
Benchmark: CRC 950+.
Common Mistake: Incorrectly distributing signs (x = 18).
3. What is the area of a rectangle with length 10 cm and width 4 cm?
(Geometric Reasoning)
a) 14 cm²
b) 28 cm²
c) 40 cm²
d) 48 cm²
c) 40 cm²
Solution: Area = length × width = 10 × 4 = 40 cm².
Calculator Shortcut: On TI-84, enter 10 * 4.
Skill Gap Analysis: Area calculations (Geometric).
Benchmark: CRC 950+.
Common Mistake: Adding dimensions (10 + 4 = 14).
4. A bag contains 4 red and 6 blue marbles. What is the probability of
drawing a red marble? (Statistical Reasoning)
a) 2/5
b) 3/5
c) 4/10
d) 6/10
a) 2/5
Solution: Total marbles = 4 + 6 = 10. Probability = 4/10 = 2/5.
Calculator Shortcut: On TI-84, enter .
Skill Gap Analysis: Basic probability (Statistical).
Benchmark: CRC 950+.
Common Mistake: Using blue marbles (6/10).
5. If 2 gallons of paint cover 400 square feet, how many gallons are
needed for 1,200 square feet? (Quantitative Reasoning)
a) 4 gallons
b) 5 gallons
c) 6 gallons
d) 7 gallons
c) 6 gallons
Solution: Ratio: 2/400 = x/1,200. Solve: x = (2 × 1,200) ÷ 400 = 6 gallons.
Calculator Shortcut: On TI-84, enter (2 * 1200) / 400.
Skill Gap Analysis: Proportions (Quantitative).
Benchmark: CRC 950+.
Common Mistake: Incorrect ratio setup.
6. Solve the system: y = x + 3, y = 2x − 1 (Algebraic Reasoning)
a) (4, 7)
b) (3, 6)
c) (2, 5)
, d) (5, 8)
a) (4, 7)
Solution: Set equal: x + 3 = 2x − 1. Solve: x = 4. Substitute: y = 4 + 3 = 7.
Calculator Shortcut: On TI-84, graph y1 = x + 3, y2 = 2x − 1, find intersection.
Skill Gap Analysis: Systems of equations (Algebraic).
Benchmark: CRC 950+.
Common Mistake: Substituting incorrectly.
7. Convert 3 miles to kilometers (1 mile ≈ 1.609 km). (Geometric
Reasoning)
a) 4.627 km
b) 4.827 km
c) 5.027 km
d) 5.227 km
b) 4.827 km
Solution: 3 × 1.609 = 4.827 km.
Calculator Shortcut: On TI-84, enter 3 * 1.609.
Skill Gap Analysis: Unit conversions (Geometric).
Benchmark: CRC 950+.
Common Mistake: Using incorrect conversion factor.
8. What is the mean of the data set: 5, 7, 9, 11? (Statistical Reasoning)
a) 7
b) 8
c) 9
d) 10
b) 8
Solution: Mean = (5 + 7 + 9 + 11) ÷ 4 = 32 ÷ 4 = 8.
Calculator Shortcut: On TI-84, enter data in L1, use 1-Var Stats.
Skill Gap Analysis: Measures of central tendency (Statistical).
Benchmark: CRC 950+.
Common Mistake: Dividing by 5.
9. A car travels 180 miles in 3 hours. What is its average speed?
(Quantitative Reasoning)
a) 50 mph
b) 60 mph
c) 70 mph
d) 80 mph
b) 60 mph
Solution: Speed = 180 ÷ 3 = 60 mph.
Calculator Shortcut: On TI-84, enter .
Skill Gap Analysis: Rate calculations (Quantitative).
Benchmark: CRC 950+.
Common Mistake: Multiplying instead of dividing.
10. Factor: x² − 16 (Algebraic Reasoning)
a) (x − 4)(x − 4)
b) (x + 4)(x − 4)
c) (x + 8)(x − 2)
