51 Mathematics Practice Questions & Answers
Every Mathematics practice question from the TEAS Practice Test, with the correct answer and a short explanation.
Start practice test →1. What is the sum of 3/4 and 2/3, expressed as an improper fraction?
- A.6/12
- B.17/12✓ Answer
- C.5/7
- D.5/12
Using a common denominator of 12, 3/4 = 9/12 and 2/3 = 8/12, so 9/12 + 8/12 = 17/12.
2. What is 15% of 80?
- A.1.2
- B.12✓ Answer
- C.120
- D.8
Convert 15% to the decimal 0.15 and multiply: 0.15 x 80 = 12.
3. If 3/5 = x/45, what is the value of x?
- A.27✓ Answer
- B.9
- C.75
- D.15
Cross-multiply: 5x = 3 x 45 = 135, so x = 135 / 5 = 27.
4. A nurse gives a patient 0.25 of a 12 mg dose. How many mg is that?
- A.4.8 mg
- B.48 mg
- C.3 mg✓ Answer
- D.0.3 mg
Multiply the decimal by the whole number: 0.25 x 12 = 3 mg.
5. Solve for x: 3x - 7 = 14.
- A.63
- B.7✓ Answer
- C.21
- D.3
Add 7 to both sides to get 3x = 21, then divide by 3 to get x = 7.
6. A quantity increases from 40 to 50. What is the percent increase?
- A.10%
- B.25%✓ Answer
- C.80%
- D.20%
Percent increase = (change / original) x 100 = (10 / 40) x 100 = 25%.
7. Convert 2.5 kilograms (kg) to grams (g).
- A.250 g
- B.25 g
- C.25,000 g
- D.2,500 g✓ Answer
Since 1 kg = 1,000 g, multiply 2.5 x 1,000 = 2,500 g.
8. For the data set 4, 8, 10, 10, 13, which statement is correct?
- A.The mean is 9 and the mode is 4
- B.The mean is 10 and the mode is 9
- C.The mean is 9 and the mode is 10✓ Answer
- D.The mean is 10 and the mode is 13
The mean is (4+8+10+10+13)/5 = 45/5 = 9, and 10 appears most often so it is the mode.
9. How many quarts are in 3 gallons?
- A.9 quarts
- B.12 quarts✓ Answer
- C.24 quarts
- D.6 quarts
Since 1 gallon = 4 quarts, multiply 3 x 4 = 12 quarts.
10. Express the fraction 5/8 as a percent.
- A.40%
- B.62.5%✓ Answer
- C.58%
- D.1.6%
Divide 5 by 8 to get 0.625, then multiply by 100 to get 62.5%.
11. What is the value of 6 + 2 x (5 - 1)?
- A.14✓ Answer
- B.32
- C.28
- D.18
Order of operations: parentheses first (5 - 1 = 4), then multiply (2 x 4 = 8), then add (6 + 8 = 14).
12. A patient weighs 66 pounds (lb). What is the weight in kilograms (kg)? (1 kg = 2.2 lb)
- A.145.2 kg
- B.30 kg✓ Answer
- C.33 kg
- D.68.2 kg
Divide pounds by 2.2: 66 / 2.2 = 30 kg.
13. Solve the inequality: 2x + 3 < 11.
- A.x > 4
- B.x < 7
- C.x < 4✓ Answer
- D.x > 7
Subtract 3 from both sides to get 2x < 8, then divide by 2 to get x < 4.
14. Convert the decimal 0.75 to a fraction in lowest terms.
- A.7/5
- B.75/10
- C.3/4✓ Answer
- D.1/4
0.75 = 75/100, and dividing both parts by 25 gives 3/4.
15. A car travels 150 miles in 3 hours. What is its average speed in miles per hour?
- A.450 mph
- B.50 mph✓ Answer
- C.45 mph
- D.30 mph
Rate = distance / time = 150 / 3 = 50 miles per hour.
16. If a medication is given at 2 mg for every 5 kg of body weight, how many mg does a 20 kg patient receive?
- A.8 mg✓ Answer
- B.10 mg
- C.40 mg
- D.50 mg
Set up a proportion: 2 mg / 5 kg = x / 20 kg, so x = (2 x 20) / 5 = 40 / 5 = 8 mg.
17. What is 3/8 written as a decimal?
- A.0.38
- B.0.625
- C.2.667
- D.0.375✓ Answer
Divide the numerator by the denominator: 3 / 8 = 0.375.
18. In a class of 25 students, 15 are female. What percent of the class is female?
- A.40%
- B.15%
- C.60%✓ Answer
- D.75%
Divide part by whole and multiply by 100: (15 / 25) x 100 = 0.6 x 100 = 60%.
19. Convert 750 milliliters (mL) to liters (L).
- A.7.5 L
- B.0.075 L
- C.0.75 L✓ Answer
- D.75 L
Since 1 L = 1,000 mL, divide 750 / 1,000 = 0.75 L.
20. Solve the system by substitution: y = 2x and x + y = 9. What is x?
- A.6
- B.3✓ Answer
- C.4.5
- D.2
Substitute y = 2x into x + y = 9 to get x + 2x = 9, so 3x = 9 and x = 3.
21. A shirt costs $40 and is marked down 25%. What is the sale price?
- A.$15
- B.$10
- C.$35
- D.$30✓ Answer
The discount is 0.25 x 40 = $10, so the sale price is 40 - 10 = $30.
22. What is the median of the data set 3, 7, 8, 12, 20?
- A.10
- B.8✓ Answer
- C.12
- D.7
The values are already in order; the middle of five numbers is the 3rd value, which is 8.
23. Evaluate 4^2 + 3^3.
- A.43✓ Answer
- B.17
- C.35
- D.25
4^2 = 16 and 3^3 = 27, so 16 + 27 = 43.
24. The ratio of nurses to patients is 2 to 9. If there are 8 nurses, how many patients are there?
- A.18
- B.24
- C.16
- D.36✓ Answer
Set up 2/9 = 8/x; cross-multiply: 2x = 72, so x = 36 patients.
25. What is the value of |-9| + |4|?
- A.-5
- B.5
- C.13✓ Answer
- D.-13
Absolute value gives distance from zero: |-9| = 9 and |4| = 4, so 9 + 4 = 13.
26. A bag holds 3 red, 5 blue, and 2 green marbles. What is the probability of drawing a blue marble?
- A.5/10
- B.3/10
- C.1/2✓ Answer
- D.2/10
There are 3 + 5 + 2 = 10 marbles; probability = 5/10 = 1/2.
27. Estimate 48 x 21 by rounding each number to the nearest ten.
- A.800
- B.1,000✓ Answer
- C.1,200
- D.900
Round 48 to 50 and 21 to 20, then multiply: 50 x 20 = 1,000.
28. Convert 3 feet to inches.
- A.36 inches✓ Answer
- B.24 inches
- C.12 inches
- D.30 inches
Since 1 foot = 12 inches, multiply 3 x 12 = 36 inches.
29. What is 2/3 of 90?
- A.30
- B.45
- C.60✓ Answer
- D.135
Divide 90 by 3 to get 30, then multiply by 2: 30 x 2 = 60.
30. A recipe uses 4 cups of flour for 12 cookies. How many cups are needed for 30 cookies?
- A.10 cups✓ Answer
- B.8 cups
- C.12 cups
- D.9 cups
Set up 4/12 = x/30; cross-multiply: 12x = 120, so x = 10 cups.
31. Solve for x: (x / 4) + 5 = 8.
- A.52
- B.3
- C.12✓ Answer
- D.7
Subtract 5 to get x / 4 = 3, then multiply both sides by 4 to get x = 12.
32. A bar graph shows sales of 20, 35, 15, and 30 units over four weeks. What is the total number of units sold?
- A.90
- B.85
- C.100✓ Answer
- D.110
Add the four bar values: 20 + 35 + 15 + 30 = 100 units.
33. Convert 500 milligrams (mg) to grams (g).
- A.5 g
- B.0.5 g✓ Answer
- C.50 g
- D.0.05 g
Since 1 g = 1,000 mg, divide 500 / 1,000 = 0.5 g.
34. What is the range of the data set 12, 5, 18, 7, 22?
- A.22
- B.5
- C.17✓ Answer
- D.15
Range = largest - smallest = 22 - 5 = 17.
35. A number decreases from 60 to 45. What is the percent decrease?
- A.15%
- B.25%✓ Answer
- C.33%
- D.20%
Percent decrease = (change / original) x 100 = (15 / 60) x 100 = 25%.
36. Multiply the fractions: 2/3 x 3/4.
- A.5/7
- B.1/2✓ Answer
- C.6/7
- D.8/9
Multiply across: (2 x 3) / (3 x 4) = 6/12, which simplifies to 1/2.
37. An IV delivers 60 mL per hour. How many mL are delivered in 8 hours?
- A.68 mL
- B.7.5 mL
- C.480 mL✓ Answer
- D.540 mL
Multiply the rate by the time: 60 mL/hr x 8 hr = 480 mL.
38. Subtract the fractions: 5/6 - 1/4.
- A.4/2
- B.7/12✓ Answer
- C.1/2
- D.6/10
Use a common denominator of 12: 5/6 = 10/12 and 1/4 = 3/12, so 10/12 - 3/12 = 7/12.
39. A medical assistant spends 12 minutes on each patient's intake and 8 minutes on each patient's paperwork. If she works without breaks for 3 hours, how many patients can she fully process?
- A.15 patients
- B.10 patients
- C.8 patients
- D.9 patients✓ Answer
Each patient requires 12 + 8 = 20 minutes total, and 3 hours equals 180 minutes, so 180 ÷ 20 = 9 patients. Multi-step rate problems require combining all per-unit times before dividing the total time available.
Source: ATI TEAS 7 Mathematics, Numbers and Algebra — solve real-world multi-step problems with rational numbers (M.1.4)Report a problem with this question
40. A prescription calls for 600 mg of a medication. The liquid on hand is labeled 250 mg per 5 mL. How many milliliters should be given?
- A.15 mL
- B.10 mL
- C.8.3 mL
- D.12 mL✓ Answer
Using the dosage proportion (desired ÷ on hand) × volume: (600 mg ÷ 250 mg) × 5 mL = 2.4 × 5 = 12 mL. Setting up the ratio of desired dose to available concentration keeps the units of mg canceling correctly, leaving mL.
Source: ATI TEAS 7 Mathematics, Numbers and Algebra — solve real-world problems involving ratios and rates of change (M.1.6)Report a problem with this question
41. The price of a textbook rose from $80 to $92. What was the percent increase?
- A.13%
- B.12%
- C.20%
- D.15%✓ Answer
Percent increase equals the change divided by the original amount: (92 − 80) ÷ 80 = 12 ÷ 80 = 0.15 = 15%. The key rule is that the denominator must be the original value, not the new value — dividing by 92 is the classic error.
Source: ATI TEAS 7 Mathematics, Numbers and Algebra — solve real-world problems involving percentages (M.1.5)Report a problem with this question
42. A clinic recorded 250 patient visits in one month and 205 visits the next month. What was the percent decrease in visits?
- A.45%
- B.18%✓ Answer
- C.20%
- D.22%
Percent decrease is the amount of decrease divided by the original amount: (250 − 205) ÷ 250 = 45 ÷ 250 = 0.18 = 18%. The decrease of 45 visits is the raw change, but a percent must always be expressed relative to the starting value of 250.
Source: ATI TEAS 7 Mathematics, Numbers and Algebra — solve real-world problems involving percentages (M.1.5)Report a problem with this question
43. Solve the inequality: −3x + 7 ≤ 22
- A.x ≥ 5
- B.x ≤ −5
- C.x ≤ 5
- D.x ≥ −5✓ Answer
Subtracting 7 from both sides gives −3x ≤ 15; dividing both sides by −3 gives x ≥ −5. The inequality symbol must be reversed whenever you multiply or divide both sides by a negative number, which is why the answer is ≥ rather than ≤.
Source: ATI TEAS 7 Mathematics, Numbers and Algebra — solve equations and inequalities in one variable (M.1.3); sign-reversal rule for inequalitiesReport a problem with this question
44. A table shows a linear relationship: when x = 2, y = 11; when x = 5, y = 20; when x = 8, y = 29. What is the slope of the line?
- A.4.5
- B.3✓ Answer
- C.9
- D.1/3
Slope is the change in y divided by the change in x between any two points: (20 − 11) ÷ (5 − 2) = 9 ÷ 3 = 3. Because the relationship is linear, this rate of change is constant, which you can verify with the next pair: (29 − 20) ÷ (8 − 5) = 3 as well.
Source: ATI TEAS 7 Mathematics, Measurement and Data — evaluate relationships between two variables; slope formula m = Δy/Δx (M.2.2)Report a problem with this question
45. A table shows: x = 1, y = 7; x = 2, y = 12; x = 3, y = 17; x = 4, y = 22. Which equation describes the relationship between x and y?
- A.y = 7x
- B.y = 2x + 5
- C.y = 5x + 1
- D.y = 5x + 2✓ Answer
The y-values increase by 5 each time x increases by 1, so the slope is 5; substituting x = 1 gives 7 = 5(1) + b, so b = 2 and the equation is y = 5x + 2. Checking another row confirms it: 5(4) + 2 = 22. The distractor y = 7x only fits the first row, which is why every row must be tested.
Source: ATI TEAS 7 Mathematics, Measurement and Data — evaluate relationships between two variables using tables and equations (M.2.2)Report a problem with this question
46. An L-shaped floor can be formed by cutting a 4 ft by 3 ft rectangular notch out of the corner of a 12 ft by 9 ft rectangle. What is the area of the L-shaped floor?
- A.96 ft²✓ Answer
- B.84 ft²
- C.108 ft²
- D.100 ft²
The area of a composite figure equals the area of the full rectangle minus the removed notch: (12 × 9) − (4 × 3) = 108 − 12 = 96 ft². Decomposing an irregular shape into rectangles (or subtracting a cutout) is the standard strategy because the area formula A = length × width only applies to rectangles directly.
Source: ATI TEAS 7 Mathematics, Measurement and Data — calculate geometric quantities of composite figures (M.2.4)Report a problem with this question
47. A solid is made of a rectangular box measuring 6 cm by 4 cm by 3 cm with a 2 cm cube attached on top. What is the total volume of the solid?
- A.80 cm³✓ Answer
- B.64 cm³
- C.88 cm³
- D.72 cm³
The volume of a composite solid is the sum of the volumes of its parts: the box is 6 × 4 × 3 = 72 cm³ and the cube is 2 × 2 × 2 = 8 cm³, so the total is 72 + 8 = 80 cm³. Volume is additive for non-overlapping solids, so each piece can be computed with its own formula and then combined.
Source: ATI TEAS 7 Mathematics, Measurement and Data — calculate geometric quantities including volume of composite solids (M.2.4)Report a problem with this question
48. A box plot of patient wait times (in minutes) shows: minimum 10, first quartile 20, median 35, third quartile 50, maximum 70. What is the interquartile range (IQR)?
- A.35 minutes
- B.15 minutes
- C.60 minutes
- D.30 minutes✓ Answer
The interquartile range is defined as the third quartile minus the first quartile: IQR = 50 − 20 = 30 minutes. It measures the spread of the middle 50% of the data; 60 is the full range (max − min), which is a different statistic.
Source: ATI TEAS 7 Mathematics, Measurement and Data — interpret relevant information from graphical data displays; IQR = Q3 − Q1 (M.2.1)Report a problem with this question
49. A histogram of 25 test scores shows these frequencies: 0–9 points: 4 students; 10–19 points: 7 students; 20–29 points: 9 students; 30–39 points: 5 students. How many students scored 20 points or higher?
- A.25 students
- B.16 students
- C.14 students✓ Answer
- D.9 students
Scores of 20 or higher fall in the 20–29 and 30–39 bars, so the answer is the sum of those two frequencies: 9 + 5 = 14 students. Reading a histogram requires identifying every interval that satisfies the condition and adding their frequencies, not just the tallest qualifying bar.
Source: ATI TEAS 7 Mathematics, Measurement and Data — interpret relevant information from histograms and other data displays (M.2.1)Report a problem with this question
50. Using rounding to the nearest hundred, which is the best estimate of 412 + 388 + 195?
- A.950
- B.900
- C.1,100
- D.1,000✓ Answer
Rounding each addend to the nearest hundred gives 400 + 400 + 200 = 1,000, because 412 rounds down to 400, 388 rounds up to 400, and 195 rounds up to 200. Estimation by rounding first is reliable here since the actual sum, 995, is very close to 1,000.
Source: ATI TEAS 7 Mathematics, Numbers and Algebra — perform estimation to solve problems and check reasonableness (M.1.2)Report a problem with this question
51. An IV is ordered to deliver 1,000 mL of fluid over 8 hours using tubing with a drop factor of 15 gtt/mL. What is the flow rate, rounded to the nearest whole drop per minute?
- A.31 gtt/min✓ Answer
- B.42 gtt/min
- C.63 gtt/min
- D.21 gtt/min
Flow rate in drops per minute equals (volume × drop factor) ÷ total minutes: (1,000 mL × 15 gtt/mL) ÷ (8 × 60 min) = 15,000 ÷ 480 = 31.25, which rounds to 31 gtt/min. Converting hours to minutes before dividing is the essential step, since the drop rate is defined per minute.
Source: ATI TEAS 7 Mathematics, Numbers and Algebra — solve real-world multi-step problems involving rates (M.1.4, M.1.6); standard IV flow-rate formula gtt/min = (mL × gtt/mL) ÷ minReport a problem with this question
Practice questions based on the ATI TEAS test outline. Not affiliated with ATI. The English & Language section is practiced in English. About the TEAS (ATI) →