TEAS-style math practice problems with step-by-step solutions

Math practice for nursing school entrance tests such as the ATI TEAS. Every problem has new numbers and a full worked solution: whole numbers and the order of operations, fractions and mixed numbers, decimals, percents (including discounts, tax and percent change), ratios and proportions, one- and two-step equations and word problems, units of length, capacity, time and temperature, reading tables and bar, line and pie charts, mean, median, mode and range, and perimeter, area and volume.

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Cram pack (PDF)Formula sheets, method steps and practice problems with full solutions, ready to print.

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About the exam and how to practise

The pre-nursing math topic is written at entrance-exam level, from single operations on the easy level to multi-step word problems on the hard level. The nursing math and conversions topic adds the metric, household and 24-hour-clock conversions that nursing programs use from the first semester; its first two levels fit this course, and the third level, with dose-rate chains, is a preview of nursing school.

Fraction answers are chosen from four options in lowest terms; other answers are typed as numbers. Check the exam organisation’s candidate information for the current content outline and calculator rules.

Topics in this course

  1. Pre-nursing math (entrance exam)numbers, fractions and percents · ratios, equations and data · word problems and multi-stepcalculations
  2. Nursing math & unit conversionsmetric, weight and household units · temperature, 24-hour clock and rounding · dimensional analysis chainscalculations

Exam tips for TEAS-style math practice

  • Turn mixed numbers into improper fractions before multiplying or dividing.
  • For percent change, always divide by the original value.
  • Write hours and minutes as one unit: 2 h 15 min = 2.25 h.
  • Estimate first so you can spot an answer that is ten times too big.

Worked examples

Pre-nursing math (entrance exam)Easy

What is 90% of 30? Find x.

90%30

Find x

Show hints
  1. p% of a number is (p/100) × the number.
  2. 90% = 0.9.
  3. 0.9 × 30.
Show the answer and the step-by-step solution

Percent means per hundred: p% of a number is (p/100) × the number. To find what percent A is of B, divide A by B and multiply by 100. A percent change compares the change with the original value: percent change = (new − original)/original × 100.

Percent as a decimal

90% = 0.9

Multiply

x = 0.9 × 30 = 27

Answer

x = 27
Nursing math & unit conversionsMedium
94969810010210410635363738394041°F°C? °F40.4 °C

Practice exercise (made-up values, not clinical guidance). A patient’s temperature is 40.4 °C. Convert it to degrees Fahrenheit T with °F = °C × 9/5 + 32. Round to one decimal place.

40.4 °C

Find T (°F)

Show hints
  1. Multiply by 9/5 (that is 1.8) first.
  2. 40.4·1.8 = 72.72.
  3. Then add 32.
Show the answer and the step-by-step solution

Temperature: °C = (°F − 32) × 5/9 and °F = °C × 9/5 + 32. Subtract 32 before you multiply when going from °F, and add 32 after you multiply when going from °C. A quick check: 37 °C is 98.6 °F, and every 1 °C is 1.8 °F.

Multiply by 9/5

40.4·9/5 = 72.72

Add 32

T = 72.72 + 32 = 104.7 °F

Answer

T = 104.7 °F

How practising works

  • “Practise this course” mixes problems from all its topics, like a real exam.
  • Every problem has new values, so you learn the method instead of an answer.
  • Stuck? Open a small hint first, and the full explanation only when you need it.
  • Mock exams are timed and have no hints, and you get your score and a full review at the end.

Calculators for this course

Nursing unit converter (mg, mcg, kg, lb, mL, tsp, °F, °C)

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Practise this course for freePractise this courseTake a mock exam5 free problems every day. No card needed.