Key Calculations Quiz Flashcards
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Questions and Answers

A proportion is an equation that shows the equality between two ____.

  • Ratios (correct)
  • Numbers
  • Measurements
  • Formulas
  • A health care worker is told to mix a solution of bleach and water in a ratio of 1 : 10. Which of the following demonstrates this ratio?

  • 10 liters of bleach, 10 liters of water
  • 1 gallon of bleach, 1 gallon of water
  • 10 liters of bleach, 1 liter of water
  • 1 cup of bleach, 10 cups of water (correct)
  • What shows a relationship between like values?

  • Ratio (correct)
  • Percentage
  • Decimal
  • Equation
  • Which of the following ratios is reduced to lowest terms?

    <p>3 : 16</p> Signup and view all the answers

    A hospital has 6 ambulances and 12 ambulance drivers. What is the ratio of ambulances to drivers when reduced to lowest terms?

    <p>1 : 2</p> Signup and view all the answers

    You want to quickly estimate the total cost of a couple of new office supplies you see in a catalog. Which of the following is the most time-efficient way to do so?

    <p>Round the prices to the nearest dollar, add them without a calculator, and decide if the purchase seems reasonable enough to pursue</p> Signup and view all the answers

    Which of the following proportions is parallel?

    <p>100 mg : 1 tablet :: 500 mg : X tablets</p> Signup and view all the answers

    Which of the following is NOT a reason to estimate?

    <p>Deciding exactly how many of something you need</p> Signup and view all the answers

    What is the rule for solving proportions?

    <p>The product of the means is equal to the product of the extremes</p> Signup and view all the answers

    In one day, a doctor saw 6 female patients and 8 male patients. What is the ratio of female to male when reduced to lowest terms?

    <p>3 : 4</p> Signup and view all the answers

    In a proportion, what are the two middle terms called?

    <p>Means</p> Signup and view all the answers

    A long-term care facility has 3 registered nurses and 12 nursing assistants. Which of the following is the correct way to express the ratio of registered nurses to nursing assistants?

    <p>1/4</p> Signup and view all the answers

    What is a mathematical average?

    <p>A number that represents a set of numbers</p> Signup and view all the answers

    A speech therapist saw 8 patients on Monday, 14 on Tuesday, 12 on Wednesday, 7 on Thursday, and 4 on Friday. What is the average number of patients the therapist saw each day this week?

    <p>Nine</p> Signup and view all the answers

    In a proportion, what are the two outer terms called?

    <p>Extremes</p> Signup and view all the answers

    Study Notes

    Ratios and Proportions

    • A proportion is an equation that indicates equality between two ratios.
    • Key example of a proportion: 100 mg : 2 tablets :: 500 mg : X tablets.

    Mixing Solutions

    • Mixing bleach and water in a ratio of 1:10 can be exemplified by using 1 cup of bleach and 10 cups of water.

    Understanding Ratios

    • Ratios show relationships between similar values.
    • The ratio of 6 ambulances to 12 ambulance drivers simplifies to 1:2.

    Estimation Techniques

    • Estimating costs can be efficient when rounding prices to the nearest dollar and adding them without a calculator.
    • Not an estimation reason: Deciding exactly how many of something you need.

    Proportionality Rules

    • The rule for solving proportions states that the product of the means equals the product of the extremes.
    • In a fraction like a/b = c/d, a and d are extremes, while b and c are means.

    Mathematical Averages

    • A mathematical average represents a set of numbers, providing a summary measure.
    • An example calculated average of a speech therapist's patients over a week yields 9 patients per day.

    Ratio Simplification

    • The ratio of 6 female patients to 8 male patients reduces to 3:4.
    • The ratio of 3 registered nurses to 12 nursing assistants can be expressed as 1/4.

    Important Definitions

    • Means refer to the two middle terms in a proportion.
    • Extremes refer to the two outer terms in a proportion.

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    Description

    Test your knowledge on key calculations related to ratios and proportions with these flashcards. Understand how to apply these concepts in real-world scenarios, including mixing solutions. Perfect for students in healthcare and mathematics!

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