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TEAS 7 Mathematics practice questions

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These are original practice items written to the TEAS 7 blueprint (4 options, no penalty for wrong answers), not actual exam questions. Try each one before you open the answer.

Practice by topic

Topics come from the tags on our own items, so this list reflects what the bank actually covers in Mathematics rather than a generic syllabus.

Mathematics: proportions 164 in the bank Mathematics: algebra 104 in the bank Mathematics: numbers 82 in the bank Mathematics: data interpretation 66 in the bank Mathematics: Numbers and Proportions 44 in the bank Mathematics 38 in the bank

Mathematics sample questions

Question 1

Five patients recovering from a procedure had recovery times, in days, of 3, 5, 5, 7, and 10. What is the mean recovery time for this group?

  1. A 7 days
  2. B 6 days
  3. C 5 days
  4. D 30 days
Show the answer and explanation

Correct answer: B

Mean = sum ÷ count = (3 + 5 + 5 + 7 + 10) ÷ 5 = 30 ÷ 5 = 6 days.

Why the other options are wrong:
A: 7 days is the range (10 - 3), not the mean.
C: 5 days is both the median and the mode of these data, not the mean.
D: 30 days is the sum of the recovery times before dividing by the 5 patients.

Question 2

The bar graph below shows the number of patients seen each day in a clinic from Monday to Friday. Monday: 12, Tuesday: 15, Wednesday: 9, Thursday: 18, Friday: 14. What is the mean number of patients per day?

  1. A 15.0
  2. B 13.6
  3. C 14.2
  4. D 12.4
Show the answer and explanation

Correct answer: B

Sum = 12 + 15 + 9 + 18 + 14 = 68. Mean = 68 ÷ 5 = 13.6.

Why the other options are wrong:
A: 15.0 is the median (middle value when sorted: 9,12,14,15,18 → median = 14, not 15; 15 is Tuesday's value).
C: 14.2 could be from dividing by 4 (ignoring one day) or from summing incorrectly (71).
D: 12.4 might result from dividing by 6 (including a weekend) or from an incorrect sum (62).

Question 3

Solve for x: 2x + 3 = 11.

  1. A 3
  2. B 7
  3. C 4
  4. D 5
Show the answer and explanation

Correct answer: C

Subtract 3 from both sides: 2x = 8. Then divide both sides by 2: x = 4.

Why the other options are wrong:
A: Plugging in 3 gives 2(3)+3 = 9, not 11.
B: Plugging in 7 gives 2(7)+3 = 17, not 11.
D: Plugging in 5 gives 2(5)+3 = 13, not 11.

Question 4

A nurse is preparing a medication that requires mixing a powder with sterile water. The instructions state that 2 grams of powder should be mixed with 5 mL of water to create a solution. If the nurse needs to prepare 15 mL of solution, how many grams of powder are needed?

  1. A 7.5 g
  2. B 6 g
  3. C 4 g
  4. D 10 g
Show the answer and explanation

Correct answer: B

Set up the proportion: 2 g / 5 mL = x g / 15 mL. Cross-multiply: 2 × 15 = 5x → 30 = 5x → x = 6. So 6 grams are needed. Option A would correspond to 10 mL, option C to 18.75 mL, and option D to 25 mL.

Why the other options are wrong:
A: This results from incorrectly using the ratio 2:5 as 2:5 = x:15, giving x=7.5, but that does not maintain the proportion.
C: This would be the amount for 10 mL, not 15 mL.
D: This would be the amount for 25 mL, double the required volume.

Question 5

A nurse needs to administer a medication at a dose of 3 mg per kilogram of body weight. How many milligrams should be given to a patient who weighs 50 kg?

  1. A 250 mg
  2. B 150 mg
  3. C 200 mg
  4. D 100 mg
Show the answer and explanation

Correct answer: B

Multiply the dose per kilogram (3 mg) by the patient's weight (50 kg): 3 × 50 = 150 mg.

Why the other options are wrong:
A: This would be 5 mg/kg for a 50 kg patient.
C: This would be 4 mg/kg for a 50 kg patient.
D: This would be 2 mg/kg for a 50 kg patient, not the prescribed 3 mg/kg.

Question 6

A nurse needs to administer 250 mg of a medication. The medication is available as 125 mg per 5 mL. How many mL should the nurse give?

  1. A 5 mL
  2. B 2.5 mL
  3. C 10 mL
  4. D 12.5 mL
Show the answer and explanation

Correct answer: C

Set up a proportion: 125 mg / 5 mL = 250 mg / x mL. Cross‑multiply: 125x = 1250 → x = 10 mL.

Why the other options are wrong:
A: This is the volume for 125 mg, not 250 mg.
B: This is from dividing 250 by 100 (incorrect factor) or thinking 250/125 = 2 and dividing 5 by 2.
D: This is from multiplying 5 mL by 2.5 (half of 5), a miscalculation.

Question 7

A patient's weight decreased from 180 pounds to 162 pounds after following a diet plan. What was the percent decrease in weight?

  1. A 8%
  2. B 18%
  3. C 10%
  4. D 12%
Show the answer and explanation

Correct answer: C

Decrease = 180 - 162 = 18 pounds. Percent decrease = 18 ÷ 180 × 100 = 10%.

Why the other options are wrong:
A: 8% of 180 is only about 14.4 pounds, less than the 18 pounds lost.
B: 18% confuses the 18-pound decrease with a percent.
D: 12% of 180 is 21.6 pounds, more than the 18 pounds lost.

Question 8

In a hospital, the ratio of nurses to patients is 1:4. If there are 12 nurses, how many patients are there?

  1. A 60
  2. B 3
  3. C 48
  4. D 16
Show the answer and explanation

Correct answer: C

Set up proportion: 1/4 = 12/x. Cross-multiply: 1·x = 12·4 → x = 48.

Why the other options are wrong:
A: 60 is 12 × 5, not the correct multiplier from the ratio.
B: 3 is 12 ÷ 4, but the ratio means 4 patients per nurse, so multiply 12 by 4.
D: 16 comes from 4 + 12, not from multiplication.

Question 9

A nurse uses a ratio of 1:4 for mixing a cleaning solution. If she needs 5 cups of the concentrated cleaner, how many cups of water must she add?

  1. A 5
  2. B 15
  3. C 20
  4. D 10
Show the answer and explanation

Correct answer: C

The ratio 1:4 means 1 part concentrate to 4 parts water. To maintain the ratio, multiply both parts by 5: 5 cups concentrate requires 5 × 4 = 20 cups of water.

Why the other options are wrong:
A: 5 cups of water would give a 1:1 ratio, not 1:4.
B: 15 cups of water would give a 1:3 ratio, still less than 1:4.
D: 10 cups of water would give a 1:2 ratio, too little water.

Question 10

Solve for x: 3(x - 4) = 21.

  1. A 3
  2. B 11
  3. C 25
  4. D 7
Show the answer and explanation

Correct answer: B

Divide both sides by 3: x - 4 = 7. Then add 4: x = 11.

Why the other options are wrong:
A: 3 results from incorrectly subtracting 4 from 21 and then dividing by 3: (21 - 4)/3 = 17/3 ≈ 5.67, not 3.
C: 25 results from multiplying 21 by 3 and then adding 4: (21 × 3) + 4 = 67, not 25.
D: 7 is the value of x - 4, not x.

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