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TEAS 7 Mathematics: Numbers and 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: Numbers and Proportions sits inside the Mathematics section of the TEAS 7. Our bank holds 44 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: Numbers and Proportions sample questions

Question 1

A recipe calls for 3 cups of flour to make 24 cookies. How many cups of flour are needed to make 40 cookies?

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

Correct answer: B

Set up a proportion: 3 cups / 24 cookies = x cups / 40 cookies. Cross-multiply: 24x = 120, so x = 5 cups.

Why the other options are wrong:
A: 6 cups would yield 48 cookies, too many.
C: 4 cups would yield 32 cookies (using 3/24 = 1/8 cup per cookie, 4 cups × 8 = 32), not 40.
D: 7 cups would yield 56 cookies, too many.

Question 2

A recipe requires 3 cups of flour to make 4 servings. How many cups of flour are needed to make 10 servings?

  1. A 5 cups
  2. B 12 cups
  3. C 6 cups
  4. D 7.5 cups
Show the answer and explanation

Correct answer: D

Set up a proportion: 3/4 = x/10. Cross-multiply: 3 × 10 = 4x → 30 = 4x → x = 7.5 cups.

Why the other options are wrong:
A: 5 cups would be correct if the ratio were 2 cups per 4 servings (2:4), but it is 3:4.
B: 12 cups would result from multiplying 3 by 4, but servings increase by a factor of 2.5, not 4.
C: 6 cups corresponds to a 3:5 ratio, not 3:4.

Question 3

A nurse needs to administer 250 mg of a medication. The vial contains 500 mg of the drug in 10 mL of solution. How many milliliters should the nurse administer?

  1. A 10 mL
  2. B 2.5 mL
  3. C 5 mL
  4. D 20 mL
Show the answer and explanation

Correct answer: C

Set up a proportion: (500 mg / 10 mL) = (250 mg / x mL). Cross-multiply: 500x = 2500, so x = 5 mL. The dose is half the vial's total drug mass, so half the volume is correct.

Why the other options are wrong:
A: 10 mL would provide the full 500 mg, double the required dose.
B: 2.5 mL would provide only 125 mg (500 mg/10 mL * 2.5 mL = 125 mg), which is half the required dose.
D: 20 mL would provide 1000 mg, four times the required dose.

Question 4

A nurse needs to administer 0.5 mg of medication per kg of body weight. The patient weighs 70 kg. How many mg should the nurse give?

  1. A 140 mg
  2. B 70 mg
  3. C 35 mg
  4. D 0.5 mg
Show the answer and explanation

Correct answer: C

Multiply the dosage per kg (0.5 mg) by the patient's weight in kg (70 kg): 0.5 × 70 = 35 mg.

Why the other options are wrong:
A: 140 mg would result from multiplying 2 mg per kg by 70 kg, not 0.5 mg per kg.
B: 70 mg is the patient's weight in kg, not the dosage.
D: 0.5 mg is the dosage per kg, not the total dosage for the patient.

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All TEAS 7 sample questions 4 sections All Mathematics questions 6 topics Mathematics: proportions with explanations Mathematics: algebra with explanations Mathematics: numbers with explanations HESI A2 sample questions with explanations NCLEX-RN sample questions with explanations

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