ATI TEAS Math Questions — Practice Problems, Formulas & Study Guide

The TEAS 7 Math section tests your ability to use math skills in real-world and academic scenarios. Here is the exam structure:

• Total Questions: 38 (32 scored + 6 unscored pretest items) • Time Limit: 54 minutes • Calculator: Four-function calculator provided (no scientific or graphing calculators) • Two Content Areas:

1. Numbers and Algebra — approximately 23 questions
2. Measurement and Data — approximately 15 questions

Numbers and Algebra Topics: — Whole numbers, integers, and order of operations (PEMDAS) — Fractions: adding, subtracting, multiplying, dividing — Decimals and place value — Percentages and percent change — Ratios, proportions, and rates — Algebraic expressions and equations — Solving single-variable equations and inequalities — Translating word problems into equations

Measurement and Data Topics: — Metric and standard (imperial) unit conversions — Geometry: area, perimeter, circumference, volume — Reading and interpreting graphs, tables, and charts — Mean, median, mode, and range — Independent and dependent variables — Covariance and relationships between variables

You should memorise these formulas for the TEAS Math section:

Geometry — Area: • Rectangle: A = l × w • Square: A = s² • Triangle: A = ½ × b × h • Circle: A = π × r² • Parallelogram: A = b × h • Trapezoid: A = ½ × (b₁ + b₂) × h

Geometry — Perimeter & Circumference: • Rectangle: P = 2l + 2w • Square: P = 4s • Triangle: P = a + b + c • Circle (Circumference): C = 2πr or C = πd

Geometry — Volume: • Rectangular Prism (Box): V = l × w × h • Cube: V = s³ • Cylinder: V = π × r² × h • Sphere: V = (4/3) × π × r³ • Cone: V = (1/3) × π × r² × h

Algebra & Arithmetic: • Distance: d = r × t (rate × time) • Percentage: Part = (Percent / 100) × Whole • Percent Change: [(New − Old) / Old] × 100 • Simple Interest: I = P × r × t • Slope: m = (y₂ − y₁) / (x₂ − x₁)

Statistics: • Mean = Sum of all values / Number of values • Median = Middle value when data is ordered • Mode = Most frequently occurring value • Range = Maximum value − Minimum value

Conversion questions appear frequently on the TEAS. Memorise these:

Metric System (multiply/divide by 10, 100, 1000): • Length: 1 km = 1,000 m | 1 m = 100 cm | 1 cm = 10 mm • Weight: 1 kg = 1,000 g | 1 g = 1,000 mg • Volume: 1 L = 1,000 mL

Standard (Imperial) System: • Length: 1 mile = 5,280 feet | 1 yard = 3 feet | 1 foot = 12 inches • Weight: 1 ton = 2,000 pounds | 1 pound = 16 ounces • Volume: 1 gallon = 4 quarts | 1 quart = 2 pints | 1 pint = 2 cups | 1 cup = 8 fluid ounces

Metric ↔ Standard (Approximate): • 1 inch ≈ 2.54 cm • 1 mile ≈ 1.6 km • 1 kg ≈ 2.2 pounds • 1 pound ≈ 454 g • 1 litre ≈ 1.057 quarts • 1 gallon ≈ 3.785 litres • 1 ounce ≈ 28.35 g

Tip: For metric conversions, remember the prefix order — Kilo, Hecto, Deca, Base, Deci, Centi, Milli. Moving right means multiply by 10; moving left means divide by 10.

Practice these types of questions for the Numbers & Algebra section:

Q1. Simplify: 8 + 2 × (6 − 3)² Solution: First, parentheses: 6 − 3 = 3. Then exponent: 3² = 9. Then multiplication: 2 × 9 = 18. Then addition: 8 + 18 = 26. Answer: 26

Q2. Convert 3/8 to a decimal. Solution: Divide 3 ÷ 8 = 0.375. Answer: 0.375

Q3. What is 15% of 240? Solution: (15/100) × 240 = 0.15 × 240 = 36. Answer: 36

Q4. A recipe requires flour and sugar in the ratio 5:2. If you use 15 cups of flour, how many cups of sugar do you need? Solution: 5/2 = 15/x → x = (15 × 2) / 5 = 6. Answer: 6 cups

Q5. Solve for x: 3x + 7 = 22 Solution: 3x = 22 − 7 = 15. x = 15 / 3 = 5. Answer: x = 5

Q6. A shirt originally costs $45. It is on sale for 20% off. What is the sale price? Solution: Discount = 20% of 45 = 0.20 × 45 = $9. Sale price = 45 − 9 = $36. Answer: $36

Q7. Simplify: 2/3 + 3/4 Solution: LCD = 12. (2/3) = 8/12. (3/4) = 9/12. Sum = 8/12 + 9/12 = 17/12 = 1 5/12. Answer: 17/12 or 1 5/12

Q8. A car travels 180 miles in 3 hours. What is its average speed? Solution: Speed = Distance / Time = 180 / 3 = 60 mph. Answer: 60 miles per hour

Practice these types of questions for the Measurement & Data section:

Q9. Convert 5 kilometres to metres. Solution: 1 km = 1,000 m. So 5 km = 5 × 1,000 = 5,000 m. Answer: 5,000 metres

Q10. Find the area of a triangle with base 10 cm and height 6 cm. Solution: A = ½ × b × h = ½ × 10 × 6 = 30 cm². Answer: 30 cm²

Q11. A circle has a radius of 7 cm. What is its circumference? (Use π = 3.14) Solution: C = 2πr = 2 × 3.14 × 7 = 43.96 cm. Answer: 43.96 cm

Q12. Find the volume of a rectangular box that is 8 cm long, 5 cm wide, and 3 cm tall. Solution: V = l × w × h = 8 × 5 × 3 = 120 cm³. Answer: 120 cm³

Q13. Convert 3.5 gallons to quarts. Solution: 1 gallon = 4 quarts. So 3.5 × 4 = 14 quarts. Answer: 14 quarts

Q14. A student scored 85, 90, 78, 92, and 80 on five tests. What is the mean score? Solution: Mean = (85 + 90 + 78 + 92 + 80) / 5 = 425 / 5 = 85. Answer: 85

Q15. The following data set shows patient temperatures: 98.2, 99.1, 98.6, 100.4, 98.6. What is the mode? Solution: The mode is the most frequently occurring value. 98.6 appears twice. Answer: 98.6

Q16. Convert 2,500 mL to litres. Solution: 1 L = 1,000 mL. So 2,500 / 1,000 = 2.5 L. Answer: 2.5 litres

Avoid these frequent errors to improve your TEAS Math score:

1. Ignoring Order of Operations (PEMDAS) Always follow: Parentheses → Exponents → Multiplication/Division (left to right) → Addition/Subtraction (left to right). Do NOT just calculate left to right.

2. Forgetting to Convert Units If a question gives measurements in different units (e.g., feet and inches), convert to the same unit before calculating.

3. Misreading Fractions When multiplying fractions, multiply straight across (numerator × numerator, denominator × denominator). When dividing fractions, flip the second fraction and multiply. When adding/subtracting, find a common denominator first.

4. Percentage Errors To find a percentage of a number, convert the percentage to a decimal first (divide by 100). "15% of 80" = 0.15 × 80, not 15 × 80.

5. Rushing Through Word Problems Read the question twice. Identify what is being asked. Write down the known values and the formula needed before solving.

6. Not Using the Calculator Wisely A four-function calculator is provided. Use it for arithmetic to avoid careless errors, but remember it cannot do algebra or graphing for you.

7. Confusing Mean, Median, and Mode Mean = average (sum ÷ count). Median = middle value (order the data first). Mode = most frequent value. Range = highest − lowest.

Follow these strategies to maximise your TEAS Math score:

1. Know the Format You have 54 minutes for 38 questions — about 1 minute 25 seconds per question. Pace yourself and do not spend more than 2 minutes on any single question.

2. Memorise Key Formulas Formulas for area, perimeter, volume, circumference, percentages, and conversions are NOT provided on the test. Memorise them before exam day.

3. Master Fractions & Decimals Fraction and decimal questions make up a large portion of the Numbers & Algebra section. Practice converting between fractions, decimals, and percentages until it is automatic.

4. Learn Metric Prefixes Memorize: King Henry Died By Drinking Chocolate Milk (Kilo, Hecto, Deca, Base, Deci, Centi, Milli). This helps with all metric conversions.

5. Practice Word Problems Many TEAS Math questions are word problems. Practice translating English sentences into mathematical equations.

6. Skip and Return If a question is taking too long, skip it and come back. Answer all the questions you are confident about first.

7. Eliminate Wrong Answers If you are unsure, eliminate obviously wrong choices. Even eliminating one option improves your odds.

8. Take Timed Practice Tests Simulate real exam conditions. Use a four-function calculator and time yourself for 54 minutes on 38 questions.

TEAS scoring details:

• The TEAS exam has four sections: Reading, Math, Science, and English & Language Usage. • Each section receives an individual score, and all four combine into a Composite Score. • Scores are reported as a percentage (0–100%). • There is no universal passing score — each nursing program sets its own minimum. • Competitive programs typically require: — Composite score: 70–80% or higher — Individual Math section: 60–75% or higher (varies by program) • Some programs look at the composite score only; others require minimum scores in each section.

Tip: Check with your specific nursing program for their TEAS score requirements. Many programs accept the highest score from multiple attempts, so you can retake the exam if needed (ATI allows retesting after 30 days, up to 3–4 times per year depending on the program).