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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #62 : How To Find The Probability Of An Outcome

In a dice game, what is the probability of rolling an odd number on a six-sided die?

Possible Answers:

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{2}$

Explanation:

To find the probability of an event, we will use the following formula:

$\text{probability of an event} = \frac{\text{number of times the event can happen}}{\text{total number of possible outcomes}}$

So, in the event of rolling an odd number on a dice, we can determine the number of times that event can happen. So,

$\text{number of times the event can happen} = 3$

because there are 3 odd numbers on a dice:

Now, we can determine the total number of possible outcomes. We get

$\text{total number of possible outcomes} = 6$

because there are 6 different outcomes we can get when rolling the dice:

Knowing all of this, we can substitute into the formula. We get

$\text{probability of rolling an odd number} = \frac{3}{6}$

and we simplify.

$\text{probability of rolling an odd number} = \frac{1}{2}$

Therefore, the probability of rolling an odd number on a dice is $\frac{1}{2}$ .

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Example Question #63 : How To Find The Probability Of An Outcome

In a dice game, what is the probability of rolling an even number on one roll of a six-sided die?

Possible Answers:

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{2}$

Explanation:

To find the probability of an event, we will use the following formula:

$\text{probability of an event} = \frac{\text{number of ways the event can happen}}{\text{total number of all possible outcomes}}$

So, if we look at the event of rolling an even number on a dice, we can determine the following:

$\text{number of ways the event can happen} = 3$

because there are 3 ways we can roll an even number on a dice:

$\text{total number of all possible outcomes} = 6$

because there are 6 possible numbers we can roll:

Knowing all of this, we can substitute into the formula. We get

$\text{probability of rolling an even number} = \frac{3}{6}$

Now, we simplify.

$\text{probability of rolling an even number} = \frac{1}{2}$

Therefore, the probability of rolling an even number on a dice is $\frac{1}{2}$ .

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Example Question #111 : Statistics & Probability

In a dice game, what is the probability of rolling a multiple of 3 on a six-sided die?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

To find the probability of an event, we will use the following formula:

$\text{probability of an event} = \frac{\text{number of ways event can happen}}{\text{number of possible outcomes}}$

Now, given the event of rolling a multiple of 3 on a dice, we can determine the following.

$\text{number of ways event can happen} = 2$

because there are 2 multiples of 3 on a dice:

Now, we can also determine the following:

$\text{number of possible outcomes} = 6$

because there are 6 different numbers we could potentially roll:

Knowing this, we can substitute into the formula. We get

$\text{probability of rolling a multiple of 3} = \frac{2}{6}$

$\text{probability of rolling a multiple of 3} = \frac{1}{3}$

Therefore, the probability of rolling a multiple of 3 on a dice is $\frac{1}{3}$

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Example Question #61 : Probability

In a dice game, what is the probability of rolling a factor of 5 on a six-sided die?

Possible Answers:

$\frac{5}{6}$

$\frac{1}{3}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{3}$

Explanation:

To find the probability of an event, we will use the following formula:

$\text{probability of event} = \frac{\text{number of ways event can happen}}{\text{total number of possible outcomes}}$

Now, given the event of rolling a factor of 5, we can calculate the following.

$\text{number of ways event can happen} = 2$

because there are 2 factors of 5 on a dice:

We can also calculate the following.

$\text{total number of possible outcomes} = 6$

because there are 6 different possible numbers we can roll on a dice:

Knowing this, we can substitute into the formula. We get

$\text{probability of rolling a factor of 5} = \frac{2}{6}$

$\text{probability of rolling a factor of 5} = \frac{1}{3}$

Therefore, the probability of rolling a factor of 5 on a dice is $\frac{1}{3}$ .

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Example Question #65 : Probability

In a dice game, what is the probability of rolling a multiple of 2 on a six-sided die?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{2}{6}$

Correct answer:

$\frac{1}{2}$

Explanation:

To find the probability of an event, we will use the following formula:

$\text{probability of event} = \frac{\text{number of ways event can happen}}{\text{total number of possible outcomes}}$

Now, given the event of rolling a multiple of 2, we can calculate the following.

$\text{number of ways event can happen} = 3$

because there are 3 multiples of 2 on a dice:

We can also calculate the following.

$\text{total number of possible outcomes} = 6$

because there are 6 different possible numbers we can roll on a dice:

Knowing this, we can substitute into the formula. We get

$\text{probability of rolling a multiple of 2} = \frac{3}{6}$

$\text{probability of rolling a multiple of 2} = \frac{1}{2}$

Therefore, the probability of rolling a multiple of 2 on a dice is $\frac{1}{2}$ .

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Example Question #66 : Probability

In a dice game, what is the probability of rolling a factor of 2 on a six-sided die?

Possible Answers:

$\frac{1}{3}$

$\frac{1}{6}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{3}$

Explanation:

To find the probability of an event, we will use the following formula:

$\text{probability of event} = \frac{\text{number of ways event can happen}}{\text{total number of possible outcomes}}$

Now, given the event of rolling a factor of 2 on a dice, we can calculate the following.

$\text{number of ways event can happen} = 2$

because there are 2 factors of 2 on a dice:

Now, we can calculate he following.

$\text{total number of possible outcomes} = 6$

because there are 6 possible numbers we could potentially roll on a dice:

Knowing this, we can substitute into the formula. We get

$\text{probability of rolling a factor of 2} = \frac{2}{6}$

$\text{probability of rolling a factor of 2} = \frac{1}{3}$

Therefore, the probability of rolling a factor of 2 on a dice is $\frac{1}{3}$ .

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Example Question #571 : Data Analysis And Probability

In a dice game, what is the probability of rolling a factor of 6 on a six-sided die?

Possible Answers:

$\frac{1}{4}$

$\frac{2}{3}$

$\frac{5}{6}$

$\frac{1}{6}$

Correct answer:

$\frac{2}{3}$

Explanation:

To find the probability of an event, we will use the following formula:

$\text{probability of event} = \frac{\text{number of ways event can happen}}{\text{total number of possible outcomes}}$

Now, given the event of rolling a factor of 6 on a dice, we can calculate the following:

$\text{number of ways event can happen} = 4$

because there are 4 factors of 6 on a dice:

Now, we can calculate the following:

$\text{total number of possible outcomes} = 6$

because there are 6 possible outcomes we could potentially get when rolling a dice:

Knowing this, we can substitute into the formula. We get

$\text{probability of rolling a factor of 6} = \frac{4}{6}$

$\text{probability of rolling a factor of 6} = \frac{2}{3}$

Therefore, the probability of rolling a factor of 6 on a dice is $\frac{2}{3}$ .

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Example Question #1 : Ratio And Proportion

What is the least common multiple of 5, 12, and 15?

Possible Answers:

$\dpi{100} 100$

$\dpi{100} 120$

$\dpi{100} 60$

$\dpi{100} 24$

Correct answer:

$\dpi{100} 60$

Explanation:

You can write out the multiples of each number, and find the first number that is common to all of them.

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

12: 12, 24, 36, 48, 60

15: 15, 30, 45, 60

The correct answer is 60.

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Example Question #2 : Ratio And Proportion

What is the greatest common factor of 12, 24 and 96?

Possible Answers:

$\dpi{100} 6$

$\dpi{100} 3$

$\dpi{100} 4$

$\dpi{100} 12$

Correct answer:

$\dpi{100} 12$

Explanation:

To find the greatest common factor of three numbers, first factor each number as a product of prime numbers:

$\dpi{100} 96: 2\times 2\times 2\times 2\times 2\times 3$

$\dpi{100} 24: 2\times 2\times 2\times 3$

$\dpi{100} 12: 2\times 2\times 3$

Now take all of the factors that are in common between 12, 24 and 96. In this case, that is 2, 2 and 3.

$\dpi{100} 2\times 2\times 3=12$

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Example Question #882 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Logan needs to answer 60 questions to finish his test. If he has answered 25% of the questions in 20 minutes, how long will it take him to complete the entire test?

Possible Answers:

$40\ minutes$

$80\ minutes$

$120\ minutes$

$60\ minutes$

$90\ minutes$

Correct answer:

$80\ minutes$

Explanation:

To solve:

First, find the number of answers completed by calculating:

$\small 60\cdot 0.25=15$

Then, find how long it would take him to complete the 60 question test if for every 20 minutes he answer 15 questions:

$\small 60 \div 15=4$ (sets of 15 questions)

$\small \small \small 4\cdot 20 =80$ minutes altogether to finish the test.

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #62 : How To Find The Probability Of An Outcome

Example Question #63 : How To Find The Probability Of An Outcome

Example Question #111 : Statistics & Probability

Example Question #61 : Probability

Example Question #65 : Probability

Example Question #66 : Probability

Example Question #571 : Data Analysis And Probability

Example Question #1 : Ratio And Proportion

Example Question #2 : Ratio And Proportion

Example Question #882 : Isee Middle Level (Grades 7 8) Mathematics Achievement

All ISEE Middle Level Math Resources

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