### All ISEE Middle Level Math Resources

## Example Questions

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

Below is the list of candidates for Student Council president, along with the number of votes each won:

What percent of the students voted for Jarrow (nearest tenth)?

**Possible Answers:**

**Correct answer:**

students total voted. Out of those, 29 voted for Jarrow. To convert this to a percent, use this proportion and solve for :

### Example Question #2 : How To Find The Answer From A Table

Consider the table. On which day of the week is the combined total of Ben and Jason's TV viewing the greatest?

**Possible Answers:**

Friday

Thursday

Saturday

Sunday

**Correct answer:**

Sunday

On Sundays, Ben and Jason watch a total of 5.9 hours of TV:

They watch less TV on all other days: On Saturdays they watch 5.7 hours, on Fridays they watch 4.5 hours, and on Thursdays they watch 2.4 hours.

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

Below is the list of candidates for Student Council president, along with the number of votes each won:

What percent of the votes (nearest whole number) were won by the third-place finisher?

**Possible Answers:**

**Correct answer:**

Third place was won by Harris, who won 64 out of votes. To rewrite this as a percent, solve this proportion statement for :

### Example Question #2 : Tables

The above circle graph shows the results of a school election. According to the rules, the election falls to the student who wins the majority of the votes; if no student wins a majority, the top two vote-getters will face each other in a runoff, with the winner being elected.

Which of the following is the result of this election?

**Possible Answers:**

Phelps, Creighton, and Wells will face one another in a runoff.

Phelps and Wells will face each other in a runoff.

Phelps won the election outright.

Phelps and Creighton will face each other in a runoff.

None of the other choices is correct.

**Correct answer:**

Phelps and Creighton will face each other in a runoff.

Since each of the six portions of the graph takes up less than half, no one won a majority. Therefore, there will be a runoff. The two largest portions are light blue (Phelps) and orange (Creighton), so Phelps and Creighton got the most and second-most votes, and they will face each other in a runoff.

### Example Question #1 : Tables

The above circle graph shows the results of a school election. According to the rules, the office of President falls to the student who wins the most votes, and the office of Vice-President falls to the student who finishes second. A runoff only happens in case of a tie.

Which of the following is the result of this election?

**Possible Answers:**

Phelps and Creighton will face each other in a runoff to determine which will be President and which will be Vice-President.

Phelps was elected President; Creighton and Wells will face each other in a runoff to determine who will be Vice-President.

Phelps was elected President and Wells was elected Vice-President.

Phelps was elected President and Creighton was elected Vice-President.

Phelps and Wells will face each other in a runoff to determine which will be President and which will be Vice-President.

**Correct answer:**

Phelps was elected President and Creighton was elected Vice-President.

The two largest portions of the pie graph are light blue (Phelps) and orange (Creighton); Phelps got the most votes and Creighton got the second-most. Therefore, Phelps was elected President and Creighton was elected Vice-President - there will be no runoffs.

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

The above circle graph shows the results of a school election. According to the rules, the office of President falls to the student who wins the most votes; the office of Vice-President falls to the student who finishes second; the office of Secretary-Treasurer falls to the student who finishes third. A runoff only happens in case of a tie.

Which candidate was elected Secretary-Treasurer?

**Possible Answers:**

Wells was elected Secretary-Treasurer.

Wells and Hawley will face each other in a runoff.

Creighton was elected Secretary-Treasurer.

Wells and Creighton will face each other in a runoff.

Hawley was elected Secretary-Treasurer.

**Correct answer:**

Wells was elected Secretary-Treasurer.

The third-largest portion of the circle graph is gray, which, according to the legend, corresponds to Wells's share of the vote. Wells was elected Secretary-Treasurer outright.

### Example Question #2 : How To Find The Answer From A Table

Below is a table that gives the population of Washington City for six census years.

Which of the following decades saw the greatest growth in the city's population?

**Possible Answers:**

1960 to 1970

1970 to 1980

1980 to 1990

2000 to 2010

**Correct answer:**

2000 to 2010

For each decade, take the difference of the population of the last year and that of the first year. We can omit 1990 to 2000, as the population declined over that decade.

1960-70:

1970-80:

1980-90:

2000-10:

The greatest growth occurred between 2000 and 2010.

### Example Question #1 : Tables

The table below gives the number of students who scored in each of five ranges on a standardized test.

No student scored below .

What percent of the students scored or less (nearest whole percent)?

**Possible Answers:**

More information is need to answer the question.

**Correct answer:**

Add the students who finished in the bottom two ranges (-- and ):

Now add all the students from all five ranges:

To figure out what percent of all of the students finished in the bottom two ranges, calculate:

The correct choice is .

### Example Question #131 : How To Find The Probability Of An Outcome

Use the following table to answer the question.

How many students received an A in math?

**Possible Answers:**

**Correct answer:**

When looking at the table

we can see that is shows several students and within the subjects of Math, Science, and Art what grades those students received in those classes.

So, going over the table briefly, we can see the first student Katrina. We see for Math she received an A. For science, Katrina received an A. And for Art, Katrina got a B. We can read the table similarly for the remaining students.

Now, the question asks how many students received an A in math. So we will look through the table and locate Math. Once we locate Math, we will look at the grade that corresponds with it (In this example, we do not care about who the student is. We just care about the grade). So, we will count the number of A's we see matched up to the subject Math.

Once we do that, we see there are 3 students who received A's in Math (Katrina, Chris, and Fionn).

### Example Question #2 : How To Find The Answer From A Table

Use the following table to answer the question.

What is the total number of students in Math and History?

**Possible Answers:**

**Correct answer:**

Let's look at the table.

we can see the first column is showing the different classes (Math, Science, History, and Art). The second column shows the number of students in each of those classes.

So, the question is asking how many total students are in Math and History. We will find the number of students in Math, and find the number of students in History, then add them together. So,