For anyone preparing for the ATI TEAS (Test of Essential Academic Skills), mastering the math section is crucial. Whether you’re a nursing student, a test-taker gearing up for the exam, or even a math enthusiast looking to challenge yourself, this post is designed to help you practice and excel.
Here, we’ve compiled 50 ATI teas practice test math question along with detailed answers to ensure you understand the concepts clearly.
Why the Math Section Matters?
The math section of the ATI TEAS tests your ability to solve problems and use numbers effectively—skills that are essential for any nursing professional. Topics covered include arithmetic, algebra, and data interpretation, all of which are crucial for making quick and accurate decisions in a healthcare setting.
How to Use This Guide
- Practice Regularly: Consistency is key. Try to solve at least a few of these questions every day.
- Understand the Solutions: Don’t just memorize the answers. Understand the methodology behind each solution.
- Track Your Progress: Make note of which types of questions you’re struggling with and focus on those areas.
ATI TEAS Math Questions and Answers
Below are Teas math practice test with answer so student can practice and review, with answers at the end.
Basic Arithmetic
- Question: What is 15% of 200?
Answer: 30
Solution: \(15\%\) of \(200 = \frac{15}{100} \times 200 = 30\)
- Question: If you buy 3 items for $4.50 each, what is the total cost?
Answer: $13.50
Solution: \(3 \times 4.50 = 13.50\)
- Question: Subtract 785 from 1234.
Answer: 449
Solution: \(1234 – 785 = 449\)
- Question: Multiply 8 by 7.
Answer: 56
Solution: \(8 \times 7 = 56\)
- Question: Divide 144 by 12.
Answer: 12
Solution: \(144 \div 12 = 12\)
Fractions and Decimals
- Question: Convert 0.75 to a fraction.
Answer: \(\frac{3}{4}\)
Solution: \(0.75 = \frac{75}{100} = \frac{3}{4}\)
- Question: Add \(\frac{1}{5}\) and \(\frac{2}{5}\).
Answer: \(\frac{3}{5}\)
Solution: \(\frac{1}{5} + \frac{2}{5} = \frac{3}{5}\)
- Question: Subtract \(\frac{3}{8}\) from \(\frac{5}{8}\).
Answer: \(\frac{1}{4}\)
Solution: \(\frac{5}{8} – \frac{3}{8} = \frac{2}{8} = \frac{1}{4}\)
- Question: Multiply \(\frac{4}{7}\) by \(\frac{3}{5}\).
Answer: \(\frac{12}{35}\)
Solution: \(\frac{4}{7} \times \frac{3}{5} = \frac{12}{35}\)
- Question: Divide \(\frac{9}{10}\) by \(\frac{3}{4}\).
Answer: \(\frac{6}{5}\)
Solution: \(\frac{9}{10} \div \frac{3}{4} = \frac{9}{10} \times \frac{4}{3} = \frac{36}{30} = \frac{6}{5}\)
Algebra
- Question: Solve for \( x \): \(2x + 3 = 11\).
Answer: 4
Solution: \(2x + 3 = 11 \rightarrow 2x = 8 \rightarrow x = 4\)
- Question: If \( y = 3x \) and \( x = 2 \), find \( y \).
Answer: 6
Solution: \(y = 3x = 3 \times 2 = 6\)
- Question: Expand \( (x + 2)(x – 3) \).
Answer: \( x^2 – x – 6 \)
Solution: \((x + 2)(x – 3) = x^2 – 3x + 2x – 6 = x^2 – x – 6\)
- Question: Factorize \( x^2 – 9 \).
Answer: \( (x + 3)(x – 3) \)
Solution: \( x^2 – 9 = (x + 3)(x – 3) \)
- Question: Solve for \( x \): \( x^2 – 4x + 4 = 0 \).
Answer: 2
Solution: \( x^2 – 4x + 4 = (x – 2)^2 = 0 \rightarrow x = 2\)
Percentages
- Question: What is 20% of 150?
Answer: 30
Solution: \(20\%\) of \(150 = \frac{20}{100} \times 150 = 30\)
- Question: Increase 200 by 25%.
Answer: 250
Solution: \(200 + (0.25 \times 200) = 200 + 50 = 250\)
- Question: Decrease 80 by 15%.
Answer: 68
Solution: \(80 – (0.15 \times 80) = 80 – 12 = 68\)
- Question: If a product costs $120 after a 20% discount, what was the original price?
Answer: $150
Solution: \(120 = 0.80 \times \text{Original Price} \rightarrow \text{Original Price} = \frac{120}{0.80} = 150\)
- Question: What percentage of 250 is 50?
Answer: 20%
Solution: \(\frac{50}{250} \times 100 = 20\%\)
Ratios and Proportions
- Question: Simplify the ratio 15:45.
Answer: 1:3
Solution: \(15\div15 : 45\div15 = 1 : 3\)
- Question: If a recipe requires a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?
Answer: 6 cups
Solution: \(\text{Ratio} = 2:3 = 4:x \rightarrow x = 6\)
- Question: If 5 apples cost $2.50, how much do 8 apples cost?
Answer: $4.00
Solution: \(\frac{5}{2.50} = \frac{8}{x} \rightarrow x = \frac{8 \times 2.50}{5} = 4\)
- Question: The ratio of boys to girls in a class is 3:4. If there are 24 girls, how many boys are there?
Answer: 18
Solution: \(\frac{3}{4} = \frac{x}{24} \rightarrow x = \frac{3 \times 24}{4} = 18\)
- Question: A map’s scale is 1 inch : 20 miles. How many miles does 5 inches represent?
Answer: 100 miles
Solution: \(1 : 20 = 5 : x \rightarrow x = 5 \times 20 = 100\)
Geometry
- Question: What is the area of a rectangle with a length of 10 and a width of 5?
Answer: 50
Solution: \(\text{Area} = \text{Length} \times \text{Width} = 10 \times 5 = 50\)
- Question: Find the perimeter of a square with a side length of 7.
Answer: 28
Solution: \(\text{Perimeter} = 4 \times \text{Side Length} = 4 \times 7 = 28\)
- Question: Calculate the circumference of a circle with a radius of 4 (use \(\pi \approx 3.14\)).
Answer: 25.12
Solution: \(\text{Circumference} = 2 \pi r = 2 \times 3.14 \times 4 = 25.12\)
- Question: What is the volume of a cube with a side length of 3?
Answer: 27
Solution: \(\text{Volume} = \text{Side Length}^3 = 3^3 = 27\)
- Question: Find the area of a triangle with a base of 8 and a height of 5.
Answer: 20
Solution: \(\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 8 \times 5 = 20\)
Data Interpretation
- Question: If a graph shows that 30% of survey respondents prefer coffee, and there are 200 respondents, how many prefer coffee?
Answer: 60
Solution: \(0.30 \times 200 = 60\)
- Question: In a pie chart representing expenses, the “Rent” sector occupies 120 degrees. What fraction of the total expenses is rent?
Answer: \(\frac{1}{3}\)
Solution: \(\frac{120}{360} = \frac{1}{3}\)
- Question: A bar graph indicates that 40 students chose Math, 30 chose Science, and 20 chose History. What percentage chose History?
Answer: 20%
Solution: \(\frac{20}{40+30+20} \times 100 = 20\%\)
- Question: If a line graph shows a steady increase in sales from $200 to $400 over 5 months, what is the average monthly increase?
Answer: $40
Solution: \(\frac{400 – 200}{5} = 40\)
- Question: In a survey, if 45 out of 60 people own a smartphone, what is the probability that a randomly selected person owns a smartphone?
Answer: 0.75
Solution: \(\frac{45}{60} = 0.75\)
Additional Practice Questions
- Question: Solve for \( y \): \(4y – 7 = 9\).
Answer: 4
Solution: \(4y – 7 = 9 \rightarrow 4y = 16 \rightarrow y = 4\)
- Question: Convert 25% to a decimal.
Answer: 0.25
Solution: \(25\% = \frac{25}{100} = 0.25\)
- Question: What is the least common multiple (LCM) of 6 and 8?
Answer: 24
Solution: LCM(6, 8) = 24
- Question: Simplify the expression \( 3(x – 2) + 4 \).
Answer: \(3x – 2\)
Solution: \(3x – 6 + 4 = 3x – 2\)
- Question: What is the median of the data set {3, 7, 2, 9, 5}?
Answer: 5
Solution: Ordered set {2, 3, 5, 7, 9} → Median is 5
- Question: Convert \( \frac{3}{4} \) to a decimal.
Answer: 0.75
Solution: \( \frac{3}{4} = 0.75 \)
- Question: What is the square root of 81?
Answer: 9
Solution: \(\sqrt{81} = 9\)
- Question: Calculate the area of a circle with a diameter of 10 (use \(\pi \approx 3.14\)).
Answer: 78.5
Solution: \(\text{Radius} = 5 \rightarrow \text{Area} = \pi r^2 = 3.14 \times 5^2 = 78.5\)
- Question: Add 2.5 and 4.75.
Answer: 7.25
Solution: \(2.5 + 4.75 = 7.25\)
- Question: Simplify \(12 \div 4 \times 3\).
Answer: 9
Solution: \(12 \div 4 = 3 \rightarrow 3 \times 3 = 9\)
- Question: If a triangle has sides of 3, 4, and 5, is it a right triangle?
Answer: Yes
Solution: \(3^2 + 4^2 = 5^2 \rightarrow 9 + 16 = 25\)
- Question: Calculate \(\frac{7}{8} – \frac{3}{8}\).
Answer: \(\frac{1}{2}\)
Solution: \(\frac{7}{8} – \frac{3}{8} = \frac{4}{8} = \frac{1}{2}\)
- Question: What is the probability of rolling a 3 on a standard 6-sided die?
Answer: \(\frac{1}{6}\)
Solution: There is 1 favorable outcome out of 6 possible outcomes.
- Question: Subtract 0.003 from 0.1.
Answer: 0.097
Solution: \(0.1 – 0.003 = 0.097\)
- Question: If it takes 4 workers 6 hours to complete a task, how long will it take 3 workers to complete the same task, assuming constant productivity?
Answer: 8 hours
Solution: Total work = 4 workers \times 6 hours = 24 worker-hours. Time for 3 workers = \(\frac{24}{3} = 8\)
Student can use it as a teas math practice worksheets to improve their skills and try out different types of questions. Teachers can also use it as an assessment tool to gauge students’ understanding and provide targeted practice for areas that need improvement.
Conclusion
We hope this collection of teas 7 math practice test questions has helped you understand the types of questions that may be asked in the actual exam. Remember to practice consistently and seek help if you have any doubts or difficulty understanding a concept. With dedication and hard work, you will be able to ace the TEAS math section! Good luck on your exam! So keep practicing and improve your mathematics skills.
Note: All answers and solutions are for reference only. Actual answers may vary based on calculations.
### References:
- “TEAS Math Practice Test.” Mometrix, Union Test Prep, uniontestprep.com/teas/practice-test/math/readiness-assessment
- “How to Prepare for the ATI TEAS Math Section.” Kaplan Nursing, kaplannursing.com/blog/ati-teas-math.
- “Study Guide for the ATI TEAS.” Test Prep Toolkit, testpreptoolkit.com/ati-teas-study-guide/.