Equivalent Ratios Quiz
53 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which of the following best describes equivalent ratios?

  • Ratios with different values.
  • Ratios that have the same number of terms.
  • Ratios that only involve whole numbers.
  • Ratios that express the same relationship. (correct)

    • The ratio 3:5 is equivalent to the ratio 6:15.

    False

    If a recipe calls for a 1:3 ratio of sugar to flour, what is another equivalent ratio?

    2:6

    The ratio 4:8 is equivalent to 1:______.

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

    Match each ratio with its equivalent ratio:

    <p>2:3 = 4:6 1:4 = 2:8 5:2 = 10:4 3:7 = 6:14</p> Signup and view all the answers

    What type of ratio is used to compare the number of items in different categories, such as apples to oranges?

    <p>Part-to-part</p> Signup and view all the answers

    The calculation 12:3 = 4:1 represents equivalent ratios

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

    If a ratio is given as 10:20, what is an equivalent ratio?

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

    In the ratio 4:5 = 8: ______, the missing term is

    <p>10</p> Signup and view all the answers

    Match the following ratios with their missing terms:

    <p>2:3 = <strong>:6 = 4 5:10 = 1:</strong> = 2 3:4 = 9:__ = 12 10:15=2:__ = 3</p> Signup and view all the answers

    Which of the following describes the relationship between adding the same amount to both terms of a ratio and creating an equivalent ratio?

    <p>Adding the same amount to both terms usually does not result in an equivalent ratio.</p> Signup and view all the answers

    A ratio of 400g to 1kg is equivalent to a ratio of 4:1.

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

    What is the missing term in the proportion 27:45 = 5:?

    <p>25</p> Signup and view all the answers

    In the proportion 16/? = 2/3 , the missing term is ______.

    <p>24</p> Signup and view all the answers

    Match the following time comparisons with their equivalent simplified ratios:

    <p>400 g to 1 kg = 2:5 6 cm to 7 mm = 60:7 200 s to 3 min = 10:9</p> Signup and view all the answers

    If the ratio of juice bottles to water bottles is 60:90, which of the following is an equivalent ratio?

    <p>4:6</p> Signup and view all the answers

    If a map has a ratio of 3:2,000,000, then 6 cm on the map represents 40 km.

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

    Mary uses 3 parts water for each 1 part concentrate when making orange juice. If she made 2 L of orange juice, how much concentrate did she use in liters?

    <p>0.5</p> Signup and view all the answers

    If 27 kg of milk is needed to make 4 kg of butter, then to make 3 kg of butter, you would need ______ kg of milk.

    <p>20.25</p> Signup and view all the answers

    Match the ratio problem with the corresponding solution:

    <p>2:3 = 36:? = 54 12:18 = 30:? = 45 6:8 = ?:44 = 33 80:? = 50:60 = 96</p> Signup and view all the answers

    What does 'per' mean when used in the context of a rate?

    <p>To or for each</p> Signup and view all the answers

    A speed of 10 m/s means an object travels 10 meters every second.

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

    If a swimmer covers 50 meters in 25 seconds, what is their speed in meters per second?

    <p>2 m/s</p> Signup and view all the answers

    A rate in which the second term is 1 is called a ______ rate.

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

    Match the following terms with their definitions:

    <p>Speed = The rate at which an object moves a certain distance in a certain time Rate = A comparison of two amounts measured in different units Unit Rate = A rate where the second term is 1</p> Signup and view all the answers

    If green paint is mixed with white paint in a 5:3 ratio, what fraction of the total paint mixture is white?

    <p>3/8</p> Signup and view all the answers

    Brad buys 4 CDs for $56. At this rate, how many CDs can he buy with $42?

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

    The ratio 10:20 is equivalent to the ratio 1:3.

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

    If 6 kg of oranges cost $14, then 12 kg of oranges would cost $28.

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

    A bead necklace has red, blue, and purple beads in the ratio 5:3:1. If the necklace has a total of 27 beads, how many blue beads are there?

    <p>9</p> Signup and view all the answers

    Jason's mom drove 160 km to a stampede at 100 km/h and back at 90 km/h. What was the difference in time between the two trips, in minutes?

    <p>10.67</p> Signup and view all the answers

    In a ratio table, if 10 days corresponds to 70 school days, then 5 days would correspond to ______ school days, assuming the same ratio.

    <p>35</p> Signup and view all the answers

    Match the following ratios with their equivalent forms:

    <p>2:3 = 4:6 1:5 = 3:15 5:2 = 15:6 4:7 = 8:14</p> Signup and view all the answers

    The unit cost of peaches is $3.70 for 2 kg. Therefore, the cost for 1 kg of peaches is $______.

    <p>1.85</p> Signup and view all the answers

    Match the following items with their correct unit:

    <p>Cost for peaches = dollars per kg Car speed = kilometers per hour Cost for tiles = dollars per m² Distance = km</p> Signup and view all the answers

    How many cats are up for adoption if the ratio of cats to dogs is 5:2 and there are currently 63 animals?

    <p>36</p> Signup and view all the answers

    If a spreadsheet has three cells with numbers for every two cells with words, the ratio of numerical cells to word cells is 3:2.

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

    How much would Nicole earn in 12 hours if she earned $78 in 9 hours?

    <p>$104</p> Signup and view all the answers

    In Jason's mom's trip, the time difference between driving to the city at 80 km/h and returning at 90 km/h was __________ hours.

    <p>0.5</p> Signup and view all the answers

    Match the following problems to their corresponding solutions:

    <p>6/10 of 160000 = 96000 women graduated x/4.2 = 31.5/x = x = 5.1 2.67/3 = $0.89 per bar 70 km at 80 km/h = 0.875 hours</p> Signup and view all the answers

    Allison and Nikita have a CD collection with a rap to pop to rock ratio of 4:6:8. If they have 63 pop CDs, which proportion can be used to determine the number of rock CDs?

    <p>8 : 6 = x : 63</p> Signup and view all the answers

    The ratio 8:6 can be replaced with 8 × 63 : 6 × 63 when solving for the number of rock CDs because you are multiplying both parts of the ratio by the same number.

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

    In the equivalent ratios 8 × 63 : 6 × 63 = x : 6 × 63, if the second terms are equal, what does this tell you about the first terms?

    <p>The first terms are also equal.</p> Signup and view all the answers

    If the ratio of rap CDs to pop CDs is 4:6 and there are 63 pop CDs, the number of rap CDs can be found by setting up the proportion 4 : 6 = x : ______.

    <p>63</p> Signup and view all the answers

    Match the following statements about equivalent ratios to their correct meanings:

    <p>The ratios 8:6 and 8 × 63 : 6 × 63 are equivalent. = Both sides of the ratio are multiplied by the same value In the ratios 8 × 63 : 6 × 63 = x : 6 × 63 the second terms are the same = The first terms must also be equal The ratio 4:6 is used to solve for the number of rap CDs = This gives a proportion for finding the number of rap CDs in a ratio with the pop CDs</p> Signup and view all the answers

    Marlene can run 6 km in 45 minutes if she can run 4 km in 30 minutes.

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

    How many flyers does Sam need to deliver to earn $45 if he earns $2.50 for every 10 flyers?

    <p>1800</p> Signup and view all the answers

    Is the ratio 270:1 correct when comparing a glass with 270 mL capacity to a thermos flask with 1 L capacity? Explain.

    <p>No, the ratio should be 270:1000 or 27:100 as 1 L is 1000 mL.</p> Signup and view all the answers

    If golden raisins cost $0.66/100g and dark raisins cost $0.55/100g, you will save $______ if you buy the cheaper raisins for a 500g recipe.

    <p>0.55</p> Signup and view all the answers

    Jake downloaded a 1600 KB file in 14 seconds. Another file downloaded in 21 seconds. Approximately how large, in KB, was the second file?

    <p>2400 KB</p> Signup and view all the answers

    According to a school district report, the student-to-teacher ratio is 20:1. If there are 50 teachers and 1280 pupils in the district, the report is accurate.

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

    Match the following ratios with their comparison:

    <p>8:10 = Smaller than 20:20 8:10:20 = A ratio that cannot be directly compared as it contains three parts, but indicates how a quantity is divided into three parts 20:20 = Equal to 1</p> Signup and view all the answers

    In Ellen's school, for every four boys who play sports, there are three girls. Can there be exactly 80 girls who play sports? Explain.

    <p>No, as 80 is not a multiple of 3, the ratio would not be maintained, hence for 80 girls, there cannot be a whole number of boys</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser