Unit 1 Preassessment: Rational Number Uses

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    Express the ratio that compares the number of purple Skittles to the total number of Skittles. - ProProfs

    Express the ratio that compares the number of purple Skittles to the total number of Skittles.

    • 2/23
    • 3/15
    • 1/4
    • 2/3
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Unit 1 Preassessment: Rational Number Uses - Quiz
About This Quiz

This quiz will not serve as a grade, but as a means to determine areas of strength and weakness. Please take your time and answer each question to the best of your ability.

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  • 2. 

    Bus Number 712 traveled 150 miles on 10 gallons of gas.  How many miles per gallon does the bus get?

    • 15

    • 150

    • 1.5

    • 0.15

    Correct Answer
    A. 15
    Explanation
    "Per" usually means "divide."

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  • 3. 

    Write 6x6x6x6x6 using exponents.

    • 6^6

    • 1^6

    • 6^5

    • 6^4

    Correct Answer
    A. 6^5
    Explanation
    The given expression is 6^5. This means that the number 6 is raised to the power of 5. In other words, we multiply 6 by itself 5 times.

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  • 4. 

    Replace the # with a number so that the fractions are equivalent:  18/21 = 6/#

    • 7

    • 3

    • 4

    • 6

    Correct Answer
    A. 7
    Explanation
    HINT: Try simplifying the first fraction.

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  • 5. 

    Bonnie purchased a 30-ounce package of Chocolate Chunk Cookies for $2.40.  What is the cost per ounce?

    • $0.88 per oz.

    • $8.00 per oz.

    • $0.80 per oz.

    • $0.08 per oz.

    Correct Answer
    A. $0.08 per oz.
    Explanation
    "Per" usually means "divide."

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  • 6. 

    Which number is a perfect square?

    • 36

    • 26

    • 32

    • 11

    Correct Answer
    A. 36
    Explanation
    36 is a perfect square because it can be expressed as the square of a whole number, which is 6. When 6 is multiplied by itself, the result is 36.

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  • 7. 

    Write 5/20 in simplest form.

    • 1/5

    • 1/4

    • 4/5

    • 1/20

    Correct Answer
    A. 1/4
    Explanation
    Divide top and bottom by a common value.

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  • 8. 

    Write 42/54 in simplest form.

    • 8/10

    • 7/9

    • 8/9

    • 21/27

    Correct Answer
    A. 7/9
    Explanation
    To simplify the fraction 42/54, we can divide both the numerator and denominator by their greatest common divisor, which is 6. When we divide 42 by 6, we get 7, and when we divide 54 by 6, we get 9. Therefore, the simplest form of 42/54 is 7/9.

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  • 9. 

    Write two and twelve hundredths as a mixed number in simplest form.

    • 2 and 6/40

    • 2 and 6/50

    • 2 and 3/25

    • 2

    Correct Answer
    A. 2 and 3/25
    Explanation
    Remember, a mixed number consists of a whole number and a fraction. "Simplest form" means to reduce by dividing the top & bottom by a common number.

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  • 10. 

    Which ratio describes 20 basset hounds out of 45 dogs as a fraction in simplest form?

    • 20/45

    • 9/4

    • 9:4

    • 4/9

    Correct Answer
    A. 4/9
    Explanation
    Remember, SIMPLEST FORM means to reduce, or divide the top & bottom by a common number.

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  • 11. 

    State the least common denominator of 8/15 and 13/25.

    • 100

    • 300

    • 25

    • 75

    Correct Answer
    A. 75
    Explanation
    The least common denominator is the smallest multiple that both denominators, 15 and 25, can divide into evenly. The prime factors of 15 are 3 and 5, while the prime factors of 25 are 5 and 5. To find the least common denominator, we need to consider the highest power of each prime factor. In this case, the highest power of 3 is 1, and the highest power of 5 is 2. Multiplying these together gives us 3 * 5 * 5 = 75, which is the least common denominator.

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  • 12. 

    Evaluate 4^5  ("Four to the fifth power").

    • 1024

    • 256

    • 64

    • 625

    Correct Answer
    A. 1024
    Explanation
    When we raise a number to a power, it means that we multiply the number by itself the number of times indicated by the power. In this case, we need to multiply 4 by itself 5 times. So, 4^5 can be calculated as 4 x 4 x 4 x 4 x 4, which equals 1024.

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  • 13. 

    Approximately 105 out of 350 teens have their own savings account.  Express the ratio 105:350 as a fraction in simplest form.

    • 3/1

    • 1/3

    • 10/3

    • 3/10

    Correct Answer
    A. 3/10
    Explanation
    Remember, SIMPLEST FORM means to reduce, or divide the top & bottom by a common number.

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  • 14. 

    Write 7 and  4/5 as a decimal.

    • 7.8

    • 7.9

    • 7.4

    • 7.45

    Correct Answer
    A. 7.8
    Explanation
    To convert a mixed number to a decimal, we first convert the fraction part to a decimal. In this case, 4/5 can be written as 0.8. Then, we add the whole number part to the decimal. Thus, 7 and 4/5 can be written as 7.8.

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  • 15. 

    Express 0.6 as a fraction in simplest form.

    • 6/100

    • 3/5

    • 6/10

    • 1/2

    Correct Answer
    A. 3/5
    Explanation
    "Simplest form" means to reduce by dividing the top & bottom by a common number.

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  • 16. 

    Write 1/4, 1/3, and 2/7 in order from least to greatest.

    • 2/7, 1/3, 1/4

    • 1/3, 1/4, 2/7

    • 1/4, 2/7, 1/3

    • 2/7, 1/4, 1/3

    Correct Answer
    A. 1/4, 2/7, 1/3
    Explanation
    Try changing them all to decimals to compare them.

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  • 17. 

    Express 0.4 as a fraction in simplest form.

    • 2/5

    • 4/100

    • 1/4

    • 4/10

    Correct Answer
    A. 2/5
    Explanation
    Say 0.4 in your head, "four tenths" and then write the words as fraction 4/10. Now, simplify to lowest terms.

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  • 18. 

    The White House is approximately 18.05 acres.  Express this decimal as a mixed number in simplest form.

    • 18 and 1/5

    • 18 and 5/100

    • 18 and 1/50

    • 18 and 1/20

    Correct Answer
    A. 18 and 1/20
    Explanation
    Remember, a mixed number consists of a whole number and a fraction. "Simplest form" means to reduce by dividing the top & bottom by a common number.

    Rate this question:

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  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 08, 2010
    Quiz Created by
    Mrssurratt
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