ATI TEAS 7 MATH EXAM PRACTICE | STUDY GUIDE | COMPREHENSIVE TESTBANK |
PRACTICE QUESTIONS & ANSWERS | LATEST UPDATE 2026/2027
TABLE OF CONTENTS
i. Numbers and Number Sense
ii. Arithmetic Operations and Rational Numbers
iii. Algebraic Expressions and Equations
iv. Ratios, Proportions, Percentages, and Rates
v. Measurement and Geometry
vi. Data Interpretation and Statistics
vii. Multi-Step Applied Problem Solving
INTRODUCTION
The ATI TEAS 7 Mathematics section evaluates the quantitative reasoning skills required
for success in health-science education, emphasizing numerical operations, algebra,
measurement, geometry, data interpretation, ratios, proportions, and percentages. This
practice examination is designed to provide rigorous preparation through multi-step
calculations, realistic application problems, quantitative comparisons, and
interpretation of numerical information. Questions emphasize accuracy, efficient
problem solving, estimation, and the ability to select an appropriate mathematical
method rather than relying on simple recall. Students should expect progressively
challenging problems that require careful analysis of units, relationships, equations,
percentages, and data. The questions below are intentionally demanding while
remaining aligned with the mathematical competencies assessed by the TEAS 7.
Question 1
A medication solution contains 0.75 g of an active ingredient in 250 mL of solution.
How many milligrams of the active ingredient are contained in 15 mL?
A. 30 mg
B. 45 mg
C. 50 mg
D. 75 mg
🔴 Correct Answer: B. 45 mg.
🔵 Explanation: 0.75 g = 750 mg. The concentration is 750 ÷ 250 = 3 mg/mL. Therefore,
15 mL × 3 mg/mL = 45 mg.
,Question 2
A student calculates 34 + 5
6 − 23 . What is the result?
7
A. 12
8
B. 12
11
C. 12
13
D. 12
🔴 Correct Answer: C. 12
11
.
🔵 Explanation: Using 12 as the common denominator gives 9/12 + 10/12 − 8/12 =
11/12.
Question 3
A patient's fluid intake increases from 1,200 mL per day to 1,500 mL per day. What is
the percentage increase?
A. 20%
B. 25%
C. 30%
D. 35%
🔴 Correct Answer: B. 25%.
🔵 Explanation: The increase is 300 mL. Dividing by the original 1,200 mL
gives 300/1200 = 0.25, or 25%.
Question 4
A quantity is represented by the expression 4(2x − 3) − 2(x + 5). Which expression is
equivalent?
A. 6x − 22
B. 10x − 2
C. 6x − 2
D. 10x − 22
🔴 Correct Answer: A. 6x − 22.
🔵 Explanation: Distribute first: 8x − 12 − 2x − 10. Combining like terms
produces 6x − 22.
Question 5
,A clinic schedules 18 patients every 2.5 hours. At the same rate, how many patients can
be scheduled during a 7.5-hour period?
A. 45
B. 48
C. 54
D. 60
🔴 Correct Answer: C. 54.
🔵 Explanation: Seven and one-half hours is three times 2.5 hours. Therefore, 18 × 3 =
54 patients.
Question 6
Solve the equation:
3(2x − 5) + 4 = 25
A. 3
B. 4
C. 5
D. 6
🔴 Correct Answer: C. 5.
🔵 Explanation: Expanding gives 6x − 15 + 4 = 25, so 6x − 11 = 25. Thus 6x = 36,
and x = 6. Therefore, the correct option is D, not C.
Question 7
A rectangular treatment room measures 12.5 ft by 9.6 ft. What is its area?
A. 110 ft²
B. 120 ft²
C. 122 ft²
D. 132 ft²
🔴 Correct Answer: B. 120 ft².
🔵 Explanation: The area of a rectangle is length × width. Thus, 12.5 × 9.6 = 120
square feet.
Question 8
A ratio of nurses to patients is 2:15. If 8 nurses are available, how many patients
correspond to the same ratio?
, A. 30
B. 45
C. 60
D. 75
🔴 Correct Answer: C. 60.
🔵 Explanation: The ratio 2:15 is multiplied by 4 because 8 ÷ 2 = 4. Therefore, 15 × 4 =
60 patients.
Question 9
A student scored 78, 84, 91, and 87 on four examinations. What score is required on
the fifth examination to achieve an overall average of 86?
A. 88
B. 89
C. 90
D. 91
🔴 Correct Answer: C. 90.
🔵 Explanation: Five scores averaging 86 must total 430. The first four total 340, so the
required fifth score is 430 − 340 = 90.
Question 10
Which value is greatest?
A. 0.62
B. 58
C. 61%
D. 0.605
🔴 Correct Answer: B. 58 .
🔵 Explanation: 5/8 = 0.625, which is greater than 0.62, 0.61, and 0.605.
Question 11
A quantity decreases from 480 to 348. What is the percentage decrease, rounded to the
nearest tenth?
A. 24.5%
B. 27.5%
PRACTICE QUESTIONS & ANSWERS | LATEST UPDATE 2026/2027
TABLE OF CONTENTS
i. Numbers and Number Sense
ii. Arithmetic Operations and Rational Numbers
iii. Algebraic Expressions and Equations
iv. Ratios, Proportions, Percentages, and Rates
v. Measurement and Geometry
vi. Data Interpretation and Statistics
vii. Multi-Step Applied Problem Solving
INTRODUCTION
The ATI TEAS 7 Mathematics section evaluates the quantitative reasoning skills required
for success in health-science education, emphasizing numerical operations, algebra,
measurement, geometry, data interpretation, ratios, proportions, and percentages. This
practice examination is designed to provide rigorous preparation through multi-step
calculations, realistic application problems, quantitative comparisons, and
interpretation of numerical information. Questions emphasize accuracy, efficient
problem solving, estimation, and the ability to select an appropriate mathematical
method rather than relying on simple recall. Students should expect progressively
challenging problems that require careful analysis of units, relationships, equations,
percentages, and data. The questions below are intentionally demanding while
remaining aligned with the mathematical competencies assessed by the TEAS 7.
Question 1
A medication solution contains 0.75 g of an active ingredient in 250 mL of solution.
How many milligrams of the active ingredient are contained in 15 mL?
A. 30 mg
B. 45 mg
C. 50 mg
D. 75 mg
🔴 Correct Answer: B. 45 mg.
🔵 Explanation: 0.75 g = 750 mg. The concentration is 750 ÷ 250 = 3 mg/mL. Therefore,
15 mL × 3 mg/mL = 45 mg.
,Question 2
A student calculates 34 + 5
6 − 23 . What is the result?
7
A. 12
8
B. 12
11
C. 12
13
D. 12
🔴 Correct Answer: C. 12
11
.
🔵 Explanation: Using 12 as the common denominator gives 9/12 + 10/12 − 8/12 =
11/12.
Question 3
A patient's fluid intake increases from 1,200 mL per day to 1,500 mL per day. What is
the percentage increase?
A. 20%
B. 25%
C. 30%
D. 35%
🔴 Correct Answer: B. 25%.
🔵 Explanation: The increase is 300 mL. Dividing by the original 1,200 mL
gives 300/1200 = 0.25, or 25%.
Question 4
A quantity is represented by the expression 4(2x − 3) − 2(x + 5). Which expression is
equivalent?
A. 6x − 22
B. 10x − 2
C. 6x − 2
D. 10x − 22
🔴 Correct Answer: A. 6x − 22.
🔵 Explanation: Distribute first: 8x − 12 − 2x − 10. Combining like terms
produces 6x − 22.
Question 5
,A clinic schedules 18 patients every 2.5 hours. At the same rate, how many patients can
be scheduled during a 7.5-hour period?
A. 45
B. 48
C. 54
D. 60
🔴 Correct Answer: C. 54.
🔵 Explanation: Seven and one-half hours is three times 2.5 hours. Therefore, 18 × 3 =
54 patients.
Question 6
Solve the equation:
3(2x − 5) + 4 = 25
A. 3
B. 4
C. 5
D. 6
🔴 Correct Answer: C. 5.
🔵 Explanation: Expanding gives 6x − 15 + 4 = 25, so 6x − 11 = 25. Thus 6x = 36,
and x = 6. Therefore, the correct option is D, not C.
Question 7
A rectangular treatment room measures 12.5 ft by 9.6 ft. What is its area?
A. 110 ft²
B. 120 ft²
C. 122 ft²
D. 132 ft²
🔴 Correct Answer: B. 120 ft².
🔵 Explanation: The area of a rectangle is length × width. Thus, 12.5 × 9.6 = 120
square feet.
Question 8
A ratio of nurses to patients is 2:15. If 8 nurses are available, how many patients
correspond to the same ratio?
, A. 30
B. 45
C. 60
D. 75
🔴 Correct Answer: C. 60.
🔵 Explanation: The ratio 2:15 is multiplied by 4 because 8 ÷ 2 = 4. Therefore, 15 × 4 =
60 patients.
Question 9
A student scored 78, 84, 91, and 87 on four examinations. What score is required on
the fifth examination to achieve an overall average of 86?
A. 88
B. 89
C. 90
D. 91
🔴 Correct Answer: C. 90.
🔵 Explanation: Five scores averaging 86 must total 430. The first four total 340, so the
required fifth score is 430 − 340 = 90.
Question 10
Which value is greatest?
A. 0.62
B. 58
C. 61%
D. 0.605
🔴 Correct Answer: B. 58 .
🔵 Explanation: 5/8 = 0.625, which is greater than 0.62, 0.61, and 0.605.
Question 11
A quantity decreases from 480 to 348. What is the percentage decrease, rounded to the
nearest tenth?
A. 24.5%
B. 27.5%
