TEAS-MATH-V7 Sample Questions & Answers
Number and algebra work, such as converting between fractions, decimals and percentages, edges out measurement and data questions that have you read tables, charts and graphs and explain how two variables relate.
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- Question 1Advanced
M.2 Measurement and Data · Solve real-world problems using one- or multi-step operations with real numbers
Case Study:
A home health aide is responsible for managing a client's daily fluid intake and output. The client has a goal of consuming at least 2 liters of fluid per day and has a Foley catheter in place for urinary output.
Over an 8-hour period, the client's fluid intake was recorded as follows: one 8-ounce glass of water, one 6-ounce cup of tea, and a 12-ounce bowl of broth. During this same period, the client received a continuous IV infusion at a rate of 75 mL per hour.
The urinary output from the Foley bag was measured at 1,150 mL. Additionally, the client had one episode of emesis estimated at 1/4 of a liter. (Use the conversion: 1 ounce ≈ 30 mL).
What is the client's net fluid balance in milliliters for this 8-hour period?
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Correct answer: B
First, calculate total intake in mL:
Oral intake: (8 oz + 6 oz + 12 oz) * 30 mL/oz = 26 oz * 30 mL/oz = 780 mL.
IV intake: 75 mL/hr * 8 hr = 600 mL.
Total Intake = 780 mL + 600 mL = 1380 mL.Next, calculate total output in mL:
Urinary output: 1150 mL.
Emesis: 1/4 L = 0.25 L = 250 mL.
Total Output = 1150 mL + 250 mL = 1400 mL.Finally, calculate net fluid balance: Intake - Output = 1380 mL - 1400 mL = -20 mL.
- Question 2Intermediate
M.2 Measurement and Data · Calculate geometric quantities
A hospital wing is shaped like a right-angled triangle for architectural reasons. The two shorter sides (legs) measure 60 feet and 80 feet. A nurse wants to walk from one end of the longest side (hypotenuse) to the other. What is the distance the nurse will walk?
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Correct answer: C
This problem requires the Pythagorean theorem: a² + b² = c². Here, a = 60 and b = 80.
60² + 80² = c²
3600 + 6400 = c²
10000 = c²
√10000 = c
c = 100 feet. The distance is the length of the hypotenuse, which is 100 feet. - Question 3IntermediateSelect 2
M.2 Measurement and Data · Evaluate the information in data sets, tables, charts, and graphs using statistics
A patient's chart shows the following fasting blood glucose levels over a week: 110 mg/dL, 115 mg/dL, 108 mg/dL, 120 mg/dL, 115 mg/dL, 112 mg/dL, 125 mg/dL. Which of the following statements about this data set are correct? (Select TWO that apply)
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Correct answers: B, D
The mode is the most frequently occurring value. The value 115 appears twice, while all other values appear only once. Therefore, the mode is 115 mg/dL.
The range is the difference between the highest and lowest values. The highest value is 125 and the lowest is 108. Range = 125 - 108 = 17 mg/dL.
- Question 4Intermediate
M.2 Measurement and Data · Calculate geometric quantities
True or False: If a circle has a circumference of 18π cm, its area is 81π cm².
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Correct answer: A
The formula for circumference is C = 2πr. Given C = 18π, we can solve for the radius (r): 18π = 2πr, which simplifies to r = 9 cm. The formula for area is A = πr². Substituting r = 9, we get A = π(9)² = 81π cm². The statement is true.
- Question 5Intermediate
M.2 Measurement and Data · Interpret relevant information from tables, charts, and graphs
A nursing student is reviewing their budget. Their monthly take-home pay is $2,400. The pie chart below shows how their monthly income is allocated. How much more money is allocated to Rent than to Food?
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Correct answer: B
First, find the monetary value for Rent and Food.
Rent: 35% of $2,400 = 0.35 * 2400 = $840.
Food: 25% of $2,400 = 0.25 * 2400 = $600.
The difference is $840 - $600 = $240.
Alternatively, find the percentage difference first: 35% - 25% = 10%. Then calculate 10% of the total income: 0.10 * $2,400 = $240. - Question 6Beginner
M.1 Number and Algebra · Solve equations with one variable
Solve for x in the following equation: 3(x - 4) + 10 = 2(x + 5)
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Correct answer: C
First, distribute the numbers outside the parentheses:
3x - 12 + 10 = 2x + 10
Combine like terms on the left side:
3x - 2 = 2x + 10
Subtract 2x from both sides:
x - 2 = 10
Add 2 to both sides:
x = 12 - Question 7Beginner
M.2 Measurement and Data · Explain the relationship between two variables
A researcher is studying the relationship between hours of sleep and performance on a memory test. The results are plotted on a scatter plot. As the hours of sleep increase, the memory test scores also tend to increase. What type of relationship does this suggest?
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Correct answer: A
A positive correlation exists when two variables move in the same direction. In this case, as one variable (hours of sleep) increases, the other variable (test scores) also increases. This indicates a positive relationship.
- Question 8Intermediate
M.1 Number and Algebra · Solve real-world problems involving percentages
A new medication reduces a patient's high blood pressure from 150 mmHg to 120 mmHg. What is the percent decrease in the patient's blood pressure?
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Correct answer: B
The formula for percent decrease is ((Original Value - New Value) / Original Value) * 100.
The decrease in pressure is 150 - 120 = 30 mmHg.
Percent decrease = (30 / 150) * 100 = 0.20 * 100 = 20%. - Question 9Intermediate
M.1 Number and Algebra · Compare and order rational numbers
Arrange the following values in ascending order (from least to greatest): 3/5, 0.65, 58%, 2/3.
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Correct answer: A
To compare the values, convert them all to the same format, such as decimals.
3/5 = 0.60
0.65 = 0.65
58% = 0.58
2/3 ≈ 0.667
Now, arrange these decimals in ascending order: 0.58, 0.60, 0.65, 0.667. Matching these back to their original forms gives: 58%, 3/5, 0.65, 2/3. - Question 10Advanced
M.1 Number and Algebra · Apply estimation strategies and rounding rules to real-world problems
Case Study:
A medical clinic is conducting a health screening event. They are calculating the Body Mass Index (BMI) for participants. The formula for BMI is: BMI = (weight in kg) / (height in m)². One participant's height is measured as 6 feet 1 inch, and their weight is 200 pounds.
A nursing student is tasked with performing the calculation and follows a series of steps. The student knows the following conversion factors: 1 inch = 2.54 cm, 1 foot = 12 inches, 1 kg = 2.2 lbs, and 1 m = 100 cm. The student must present the final BMI rounded to one decimal place.
After performing the calculations, the student determines the BMI is 26.4. Which of the following values was an intermediate step in correctly calculating this BMI?
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Correct answer: C
Let's verify the steps:
- Convert height to inches: (6 feet * 12 inches/foot) + 1 inch = 72 + 1 = 73 inches.
- Convert height in inches to meters: 73 inches * 2.54 cm/inch = 185.42 cm. Then 185.42 cm / 100 cm/m = 1.8542 m.
- Square the height in meters: (1.8542 m)² ≈ 3.438 m² (This matches the option).
- Convert weight to kilograms: 200 lbs / 2.2 lbs/kg ≈ 90.91 kg.
- Calculate BMI: 90.91 kg / 3.438 m² ≈ 26.44, which rounds to 26.4. The intermediate step of squaring the height to get approximately 3.44 is correct.
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