ISEE Lower Level Quantitative : Data Analysis and Probability

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #31 : Data Analysis

Find the missing number in the list:

Possible Answers:

Correct answer:

Explanation:

In this sequence of numbers, there is an important pattern to recognize. Each number is less than the previous number in the sequence by a difference of . Thus, .

Example Question #11 : How To Find The Missing Part Of A List

What is the missing number in the following sequence: 

Possible Answers:

Correct answer:

Explanation:

In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . In other words, each number in this list is a multiple of , thus the next number in this sequence is the product of  which equals .

Example Question #32 : Data Analysis

What is the missing value of  in this sequence?

Possible Answers:

Correct answer:

Explanation:

In this sequence, every subsequent number is  less than the preceding number. Given that the number that precedes  is , the value of w is . Therefore,  is the correct answer. 

Example Question #31 : Data Analysis

Use the following table to determine the cost of purchasing two books.

10

Possible Answers:

Correct answer:

Explanation:

The relationship between the values is ,

where  represents the cost of purchased books and  represents the number of books purchased. 

 

Once we realize this, we can determine how much purchasing two books  would cost: 

Example Question #1 : How To Find The Answer From A Table

Use the table to determine how much one cupcake would cost.

11

Possible Answers:

Correct answer:

Explanation:

We can determine the relationship between the values by creating a ratio of number of cupcakes to cost:

 

Where  represents the cost of 1 cupcake. 

We can now solve for 

The cost of one cupcake is then $0.85

Example Question #3 : How To Find The Answer From A Table

The following table consists of the test grades from  students. Use the table to determine how many students received a  on the test.

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Possible Answers:

Correct answer:

Explanation:

We were told the grades are from  students. The most direct way to solve this problem is to add the numbers of students listed so far:

We know there is a total of  students so we can set up the equation:

 which leaves us with 

So the missing value is eight.

Example Question #4 : How To Find The Answer From A Table

Use the table to determine how much one cupcake would cost.

11

Possible Answers:

Correct answer:

Explanation:

We can determine the relationship between the values by creating a ratio of number of cupcakes to cost:

 

Where  represents the cost of 1 cupcake. 

We can now solve for 

The cost of one cupcake is then 

Example Question #1 : How To Find The Common Part With A Venn Diagram

Students were asked if they prefer TV or radio. The following Venn Diagram depicts the number of students who said TV, radio, or both. How many students like both TV and radio?

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Possible Answers:

22

7

15

12

Correct answer:

7

Explanation:

The blue circle of the Venn diagram depicts the number of students who prefer TV, the orange circle depicts the number of students who prefer radio, and the region of overlap indicates the number of students who like both. Therefore, 7 students like both TV and radio.

Example Question #1 : How To Find The Common Part With A Venn Diagram

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Aracely posted a survey question using one of her social network accounts. She grouped the results into three categories. The response results are represented by the Venn diagram shown above.

Group  represents the respondents that answered "yes" to the survey question. Group  represents the respondents that answered "no" to the survey question. And, the overlapping part of the diagram represents the respondents that answered "maybe" to the survey question. 

What percentage of the respondents answered "maybe" to Aracely's survey question?  

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

The overlapping portion of the Venn diagram represents the percentage of respondents that answered "maybe" to Aracely's survey question.

Since the diagram shows that exactly  percent of the respondents answered "yes" or "no" to the question

.

The solution is the total percent population take away the percent that answered "yes" or "no":

Example Question #1 : How To Find The Common Part With A Venn Diagram

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The Venn diagram shown above has three categories that represent information about the Wildcats varsity baseball team. 

Category  represents the number of players on the team that are left-handed.
Category  represents the numebr of players on the team that are pitchers. 
And, the overlapping portion of the Venn diagram represents the number of players that are left-handed pitchers.

Given that  and that there are  players in the overlapping region of the diagram.

What fraction of the players are left-handed pitchers?  

Possible Answers:

Correct answer:

Explanation:

Since there are  left-handed pitchers and  total players that are either left-handed, pitchers or both the solution is:

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