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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 #871 : Grade 7

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll a and the spinner will land on yellow?

Possible Answers:

$\frac{1}{18}$

$\frac{1}{3}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{18}$

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 spinning the spinner:

As shown from the diagram, we have possible outcomes. There is only one way to roll a six and for the spinner to land on yellow; thus, the probability is $\frac{1}{18}$

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

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll an even number and the spinner will land on pink?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{18}$

$\frac{1}{2}$

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 spinning the spinner:

As shown from the diagram, we have possible outcomes. There are three even numbers on a die: , , and and for each other those numbers there is one way to spin a pink; thus, the probability is $\frac{3}{18}=\frac{1}{6}$

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Example Question #873 : Grade 7

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll an odd number and the spinner will land on orange?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{3}$

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 spinning the spinner:

As shown from the diagram, we have possible outcomes. There are three odd numbers on a die: , , and and for each of those numbers there is one way to spin an orange; thus, the probability is $\frac{3}{18}=\frac{1}{6}$

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

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll a and the spinner will land on any color except yellow?

Possible Answers:

$\frac{1}{9}$

$\frac{1}{3}$

$\frac{2}{3}$

Correct answer:

$\frac{1}{9}$

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 spinning the spinner:

As shown from the diagram, we have possible outcomes. There is only one way to roll a six and two colors other than yellow; thus, the probability is $\frac{2}{18}=\frac{1}{9}$

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Example Question #875 : Grade 7

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll a number other than and the spinner will land on yellow or orange?

Possible Answers:

$\frac{1}{}9$

$\frac{7}{9}$

$\frac{5}{9}$

Correct answer:

$\frac{5}{9}$

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 spinning the spinner:

As shown from the diagram, we have possible outcomes. There are five numbers other than : , , , , and . For those five numbers, the spinner can land one of two colors, yellow or orange; thus, the probability is $\frac{10}{18}=\frac{5}{9}$

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Example Question #11 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Kara is going to roll a die and spin a spinner, shown below. What is the probability that she will roll a number other than and the spinner will land on yellow?

Possible Answers:

$\frac{6}{18}$

$\frac{1}{3}$

$\frac{5}{18}$

Correct answer:

$\frac{5}{18}$

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 spinning the spinner:

As shown from the diagram, we have possible outcomes. There are five numbers other than : , , , , and and for those five numbers, the spinner can land on yellow once; thus, the probability is $\frac{5}{18}$

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Example Question #877 : Grade 7

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

Possible Answers:

$\frac{1}{4}$

$\frac{5}{12}$

$\frac{1}{3}$

Correct answer:

$\frac{5}{12}$

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. There are five other numbers on a die, other than : , , , , and . Looking at those numbers on the diagram, we can see that there are five ways to roll a number other than and for the coin to land on heads; thus, the probability is $\frac{5}{12}$

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Example Question #871 : Grade 7

What is the probability of flipping a coin three times, with the coin landing on heads all three times, and rolling a on a die?

Possible Answers:

$\frac{1}{8}$

$\frac{1}{6}$

$\frac{1}{14}$

$\frac{1}{48}$

$\frac{1}{52}$

Correct answer:

$\frac{1}{48}$

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is $\frac{1}{2}$

To determine the probability of the coin landing on heads three times in a row, we take the probability of the coin landing on heads and multiply it three times.

$\frac{1}{2}\times \frac{1}{2} \times\frac{1}{2}=\frac{1}{8}$

Based on the question, we want to combine the probability of flipping a coin three times, with the coin landing on heads all three times, with the probability of rolling a on a die. There are sides to a die, and only one of those sides has the number ; thus, the probability of rolling a on a die is $\frac{1}{6}$

We want the probability of all of these events occurring, so we need to multiply:

$\frac{1}{8}\times\frac{1}{6}=\frac{1}{48}$

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Example Question #874 : Grade 7

What is the probability of flipping a coin two times, with the coin landing on heads all two times, and rolling a on a die?

Possible Answers:

$\frac{1}{10}$

$\frac{1}{24}$

$\frac{1}{40}$

$\frac{1}{32}$

$\frac{1}{36}$

Correct answer:

$\frac{1}{24}$

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is $\frac{1}{2}$

To determine the probability of the coin landing on heads two times in a row, we take the probability of the coin landing on heads and multiply it two times.

$\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}$

Based on the question, we want to combine the probability of flipping a coin two times, with the coin landing on heads all two times, with the probability of rolling a on a die. There are sides to a die, and only one of those sides has the number ; thus, the probability of rolling a on a die is $\frac{1}{6}$

We want the probability of all of these events occurring, so we need to multiply:

$\frac{1}{4}\times\frac{1}{6}=\frac{1}{24}$

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Example Question #1 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

What is the probability of flipping a coin four times, with the coin landing on heads all four times, and rolling a or a on a die?

Possible Answers:

$\frac{1}{26}$

$\frac{1}{96}$

$\frac{1}{16}$

$\frac{1}{3}$

$\frac{1}{48}$

Correct answer:

$\frac{1}{48}$

Explanation:

There are two sides to a coin: heads and tails. The probability of the coin landing on heads is $\frac{1}{2}$

To determine the probability of the coin landing on heads four times in a row, we take the probability of the coin landing on heads and multiply it four times.

$\frac{1}{2}\times \frac{1}{2} \times\frac{1}{2}\times\frac{1}{2}=\frac{1}{16}$

Based on the question, we want to combine the probability of flipping a coin four times, with the coin landing on heads all four times, with the probability of rolling a or a on a die. There are sides to a die, and one of those sides has the number and one has the number ; thus, the probability of rolling a or a on a die is $\frac{2}{6}$

We want the probability of all of these events occurring, so we need to multiply:

$\frac{1}{16}\times\frac{2}{6}=\frac{2}{96}=\frac{1}{48}$

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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 #871 : Grade 7

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

Example Question #873 : Grade 7

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

Example Question #875 : Grade 7

Example Question #11 : Represent Sample Spaces For Compound Events: Ccss.Math.Content.7.Sp.C.8b

Example Question #877 : Grade 7

Example Question #871 : Grade 7

Example Question #874 : Grade 7

Example Question #1 : Design And Use A Simulation To Generate Frequencies For Compound Events: Ccss.Math.Content.7.Sp.C.8c

All Common Core: 7th Grade Math Resources

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