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Free Practice Quiz Question List

3 Ratios, Proportions, and Dimensional Analysis Online Quiz Questions

Use this free practice quiz with 20 questions to review 3 Ratios, Proportions, and Dimensional Analysis, test your knowledge, and prepare for your next test or exam.

20 questions
01
Choose one
1 point

A solution has a concentration of 50 mg/mL50\ \text{mg/mL}. What does this rate mean?

  1. A

    Each 1 mL1\ \text{mL} contains 50 mg50\ \text{mg} of medication.

  2. B

    Each 50 mL50\ \text{mL} contains 1 mg1\ \text{mg} of medication.

  3. C

    Each 1 mg1\ \text{mg} corresponds to 50 mL50\ \text{mL} of solution.

02
True or false
1 point

True or false: In a proportion, corresponding units must appear in corresponding positions in both ratios.

  1. A

    True

  2. B

    False

03
Choose one
1 point

A product contains 40 mg/mL40\ \text{mg/mL}. What volume contains a required amount of 360 mg360\ \text{mg}?

  1. A

    9 mL9\ \text{mL}

  2. B

    14.4 mL14.4\ \text{mL}

  3. C

    40 mL40\ \text{mL}

  4. D

    90 mL90\ \text{mL}

04
Choose one
1 point

At the same concentration, a dose of 100 mg100\ \text{mg} requires 2 mL2\ \text{mL}. How much volume would a dose of 200 mg200\ \text{mg} require?

  1. A

    1 mL1\ \text{mL}

  2. B

    4 mL4\ \text{mL}

  3. C

    8 mL8\ \text{mL}

  4. D

    The same volume as for 100 mg100\ \text{mg}

05
Written response
1 point

A product contains 40 mg/mL40\ \text{mg/mL}. Calculate the volume needed for 360 mg360\ \text{mg}. Enter the volume in mL.

06
True or false
1 point

True or false: In dimensional analysis, the factors should be oriented so unwanted units cancel and the requested unit remains.

  1. A

    True

  2. B

    False

07
Choose one
1 point

An order is for 0.75 g0.75\ \text{g}, and each tablet contains 250 mg250\ \text{mg}. Which dimensional-analysis setup correctly calculates the number of tablets?

  1. A

    0.75 g×1 g1,000 mg×250 mg1 tablet0.75\ \text{g}\times\frac{1\ \text{g}}{1{,}000\ \text{mg}}\times\frac{250\ \text{mg}}{1\ \text{tablet}}

  2. B

    0.75 g×1,000 mg1 g×250 mg1 tablet0.75\ \text{g}\times\frac{1{,}000\ \text{mg}}{1\ \text{g}}\times\frac{250\ \text{mg}}{1\ \text{tablet}}

  3. C

    0.75 g×1,000 mg1 g×1 tablet250 mg0.75\ \text{g}\times\frac{1{,}000\ \text{mg}}{1\ \text{g}}\times\frac{1\ \text{tablet}}{250\ \text{mg}}

08
Written response
1 point

What is the calculation method that multiplies labeled fractions arranged to cancel unwanted units?

09
Choose one
1 point

A liquid contains 250 mg250\,\text{mg} of medication in 5 mL5\,\text{mL}. Using the proportion 250 mg5 mL=x mg7.5 mL\frac{250\,\text{mg}}{5\,\text{mL}} = \frac{x\,\text{mg}}{7.5\,\text{mL}}, what is xx?

  1. A

    300 mg300\,\text{mg}

  2. B

    375 mg375\,\text{mg}

  3. C

    500 mg500\,\text{mg}

  4. D

    1,875 mg1{,}875\,\text{mg}

10
Choose one
1 point

Which ratio is equivalent to 250 mg:5 mL250\,\text{mg}:5\,\text{mL}?

  1. A

    50 mg:1 mL50\,\text{mg}:1\,\text{mL}

  2. B

    50 mL:1 mg50\,\text{mL}:1\,\text{mg}

  3. C

    250 mg:1 mL250\,\text{mg}:1\,\text{mL}

  4. D

    25 mg:5 mL25\,\text{mg}:5\,\text{mL}

11
Choose one
1 point

A dose is written as 0.75 g0.75\,\text{g}. What is the same dose expressed in milligrams?

  1. A

    7.5 mg7.5\,\text{mg}

  2. B

    75 mg75\,\text{mg}

  3. C

    750 mg750\,\text{mg}

  4. D

    7,500 mg7{,}500\,\text{mg}

12
Choose one
1 point

Which statement best describes a proportion?

  1. A

    A ratio with identical terms

  2. B

    A rate that must compare different units

  3. C

    A conversion factor with a value greater than one

  4. D

    An equation stating that two ratios are equal

13
Choose all
1 point

Select all statements that are correct about equivalent ratios.

  1. A

    Multiplying both terms of a ratio by the same nonzero number preserves the relationship.

  2. B

    Reversing the terms of a ratio always gives an equivalent ratio.

  3. C

    Dividing both terms of a ratio by the same nonzero number preserves the relationship.

  4. D

    The ratios 250:5250:5 and 500:10500:10 are equivalent.

14
Choose all
1 point

Select all statements that correctly describe proportions and dimensional analysis.

  1. A

    A proportion states that two ratios are equal.

  2. B

    Dimensional analysis uses a product of labeled fractions.

  3. C

    A valid calculation may end in a unit different from the unit requested.

  4. D

    Proportion and dimensional analysis can describe the same underlying relationship.

15
True or false
1 point

True or false: multiplying both terms of a ratio by the same nonzero number preserves the relationship the ratio represents.

  1. A

    True

  2. B

    False

16
Written response
1 point

Convert 0.75 g0.75\,\text{g} to milligrams. Enter the number of milligrams.

17
Written response
1 point

What is the mathematical term for an equation stating that two ratios are equal?

18
Fill in the blank
1 point

A proportion states that two are equal.

19
Fill in the blank
1 point

The ratio 250 mg:5 mL250\,\text{mg}:5\,\text{mL} can be rewritten as  mg/mL\,\text{mg}/\text{mL}.

20
Open ended
1 point

Explain why 250 mg:5 mL250\,\text{mg}:5\,\text{mL} and 50 mg:1 mL50\,\text{mg}:1\,\text{mL} are equivalent ratios. Include the operation applied to both terms and explain what happens to the unit order.