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Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #8 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Dan has a bag of marbles: red marbles, , yellow marbles, and blue marbles, purple marble, and orange. If the first marble he draws is a yellow marble, then what is the probability that he will draw a purple marble on his second try?

Possible Answers:

$\frac{1}{16}$

$\frac{0}{17}$

$\frac{1}{17}$

Correct answer:

$\frac{1}{16}$

Explanation:

Dan starts out with marbles, and of the marbles is purple. This means that the probability of Dan drawing a purple marble from the bag on his first attempt is $\frac{1}{17}$

Now that Dan has taken a yellow marble from the bag, we still have purple marble left, but only a total of marbles left in the bag; thus, the probability of Dan drawing a purple marble on his second attempt is $\frac{1}{16}$

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Example Question #9 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Dan has a bag of marbles: red marbles, , yellow marbles, and blue marbles, purple marble, and orange. If the first marble he draws is as orange marble, then what is the probability that he will draw a red marble on his second try?

Possible Answers:

$\frac{5}{16}$

$\frac{4}{16}$

$\frac{5}{17}$

$\frac{4}{17}$

Correct answer:

$\frac{5}{16}$

Explanation:

Dan starts out with marbles, and of the marbles are red. This means that the probability of Dan drawing a red marble from the bag on his first attempt is $\frac{5}{17}$

Now that Dan has taken an orange marble from the bag, we still have red marbles left, but only a total of marbles left in the bag; thus, the probability of Dan drawing a red marble on his second attempt is $\frac{5}{16}$

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Example Question #4 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Dan has a bag of marbles: red marbles, , yellow marbles, and blue marbles, purple marble, and orange. If the first marble he draws is an orange marble, then what is the probability that he will draw another orange marble on his second try?

Possible Answers:

$\frac{2}{16}$

$\frac{1}{17}$

$\frac{1}{16}$

$\frac{2}{17}$

Correct answer:

$\frac{1}{16}$

Explanation:

Dan starts out with marbles, and of the marbles are orange. This means that the probability of Dan drawing an orange marble from the bag on his first attempt is $\frac{2}{17}$

Now that Dan has taken an orange marble from the bag, we have orange marble left, and a total of marbles left in the bag; thus, the probability of Dan drawing an orange marble on his second attempt is $\frac{1}{16}$

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Example Question #11 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Dan has a bag of marbles: red marbles, , yellow marbles, and blue marbles, purple marble, and orange. If the first marble he draws is a blue marble, then what is the probability that he will draw another blue marble on his second try?

Possible Answers:

$\frac{6}{17}$

$\frac{3}{8}$

$\frac{7}{17}$

$\frac{7}{16}$

Correct answer:

$\frac{3}{8}$

Explanation:

Dan starts out with marbles, and of the marbles are blue. This means that the probability of Dan drawing a blue marble from the bag on his first attempt is $\frac{7}{17}$

Now that Dan has taken a blue marble from the bag, we have blue marbles left, and a total of marbles left in the bag; thus, the probability of Dan drawing a blue marble on his second attempt is $\frac{6}{16}=\frac{3}{8}$

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Example Question #12 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Dan has a bag of marbles: red marbles, , yellow marbles, and blue marbles, purple marble, and orange. If the first marble he draws is a red marble, then what is the probability that he will draw another red marble on his second try?

Possible Answers:

$\frac{2}{3}$

$\frac{5}{16}$

$\frac{4}{17}$

$\frac{1}{4}$

Correct answer:

$\frac{1}{4}$

Explanation:

Dan starts out with marbles, and of the marbles are red. This means that the probability of Dan drawing a red marble from the bag on his first attempt is $\frac{5}{17}$

Now that Dan has taken a red marble from the bag, we have red marbles left, and a total of marbles left in the bag; thus, the probability of Dan drawing a red marble on his second attempt is $\frac{4}{16}=\frac{1}{4}$

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Example Question #1 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Charlie is going to roll a die and flip a coin. What is the probability that he will roll a and the coin will land with heads facing up?

Possible Answers:

$\frac{1}{4}$

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{1}{12}$

Correct answer:

$\frac{1}{12}$

Explanation:

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

As shown from the diagram, we have possible outcomes, but there is only one way to roll a and for the coin to land on heads; thus, the probability is $\frac{1}{12}$

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Example Question #2 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Charlie is going to roll a die and flip a coin. What is the probability that he will roll a and the coin will land with tails facing up?

Possible Answers:

$\frac{1}{12}$

$\frac{1}{2}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{12}$

Explanation:

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

As shown from the diagram, we have possible outcomes, but there is only one way to roll a and for the coin to land on tails; thus, the probability is $\frac{1}{12}$

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Example Question #1 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Charlie is going to roll a die and flip a coin. What is the probability that he will roll an even number and the coin will land with heads facing up?

Possible Answers:

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{4}$

Explanation:

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

As shown from the diagram, we have possible outcomes. A die has three even numbers: , , and . Looking at those numbers on the diagram, we can see that there are three ways to roll an even number and for the coin to land on heads; thus, the probability is $\frac{3}{12}=\frac{1}{4}$

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Example Question #3 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Charlie is going to roll a die and flip a coin. What is the probability that he will roll an odd number and the coin will land with tails facing up?

Possible Answers:

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{12}$

Correct answer:

$\frac{1}{4}$

Explanation:

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

As shown from the diagram, we have possible outcomes. A die has three odd numbers: , , and . Looking at those numbers on the diagram, we can see that there are three ways to roll an odd number and for the coin to land on tails; thus, the probability is $\frac{3}{12}=\frac{1}{4}$

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Example Question #4 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Charlie is going to roll a die and flip a coin. What is the probability that he will roll a and the coin will land with heads or tails facing up?

Possible Answers:

$\frac{1}{2}$

$\frac{1}{12}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:

As shown from the diagram, we have possible outcomes, but there is only one way to roll a and the coin can either land on heads or tails; thus, the probability is $\frac{2}{12}=\frac{1}{6}$

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #8 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #9 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #4 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #11 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #12 : Understand Fraction Of Outcomes: Ccss.Math.Content.7.Sp.C.8a

Example Question #1 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Example Question #2 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Example Question #1 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Example Question #3 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Example Question #4 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

All Common Core: 7th Grade Math Resources

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