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TEAS 7 Mathematics: proportions 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.

What this topic covers

Mathematics: proportions sits inside the Mathematics section of the TEAS 7. Our bank holds 164 verified items tagged to it, and the 4 below are a fixed sample so the page stays the same every time you open it. Each one shows the reasoning, not just the letter.

The topic tag comes from our own items rather than from a published syllabus, so treat it as a map of what we cover. For the official section breakdown see the TEAS 7 page.

Mathematics: proportions sample questions

Question 1

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 2

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 3

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 4

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.

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