### All ISEE Upper Level Quantitative Resources

## Example Questions

### Example Question #1 : Tables

The beverage menu from a coffeehouse reads as follows:

Eight friends go out for drinks. Three order cappucino, two order espresso, one orders Americano, one orders Turkish coffee, and one orders cafe latte. One of the eight agrees to leave the entire amount of the tip, which is to be 20% of the check. How much will be the amount of the tip (round to the nearest dime)?

**Possible Answers:**

**Correct answer:**

The costs of the beverages will be as follows:

Add these amounts:

20% of this is

, which rounds to $5.30.

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

Refer to the above circle graph. Which of these quantities is greater?

(a) The number of votes won by Hawley

(b) The number of votes won by Wells

**Possible Answers:**

(a) and (b) are equal

It is impossible to tell from the information given

(a) is greater

(b) is greater

**Correct answer:**

(b) is greater

The gray portion of the circle graph represents Wells; the yellow portion represents Hawley. The gray portion is larger, so Wells won more votes, making (b) greater.

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

Refer to the above circle graph. Which of these quantities is greater?

(a) The number of votes won by Creighton

(b) The number of votes won by either Barnes or Yale

**Possible Answers:**

(a) and (b) are equal

(b) is greater

It is impossible to tell from the information given

(a) is greater

**Correct answer:**

(a) is greater

The size of the orange portion of the circle, which represents Creighton, is larger than the combined sizes of the dark blue and green portions, which represent Barnes and Yale, respectively. This makes (a) the greater quantity.

### Example Question #4 : Tables

The following is a portion of the menu at Moonbucks Coffee:

On this particular day, Moonbucks offers a 20% discount if four drinks of the same kind are purchased.

Which is the greater quantity?

(a) The price of four Turkish coffees

(b) The price of two Cafe Americanos and two lattes

**Possible Answers:**

It is impossible to tell from the information given

(b) is greater

(a) is greater

(a) and (b) are equal

**Correct answer:**

(b) is greater

(a) The four Turkish coffees cost before the discount. The discount is , so the price after discount is .

(b) The two Cafe Americanos cost ; the two lattes cost . The total cost is .

This makes (b) the greater quantity.

### Example Question #5 : Tables

Refer to the above circle graph. Which of these quantities is greater?

(a) The number of students who voted

(b) The number of students who did not vote

**Possible Answers:**

(b) is greater

It is impossible to tell from the information given

(a) is greater

(a) and (b) are equal

**Correct answer:**

It is impossible to tell from the information given

The above graph only reflects the relative numbers of students who voted for each of the six candidates; it does not give any information about the numbers of students who voted for each candidate, or the number of students who did not vote.

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

Refer to the above diagram. Which is the greater quantity?

(a) The number of registered Republicans in Smith County

(b) 5,000

**Possible Answers:**

It is impossible to tell from the information given.

(a) is greater

(a) and (b) are equal

(b) is greater

**Correct answer:**

It is impossible to tell from the information given.

The graph only gives the *percent* of the population registered in each party, not the number of people, or any way of finding the number of people. It is impossible to determine the number of Republicans in Smith County, so it is also impossible to determine how this number compares to 5,000.

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

The following is a portion of the menu at Moonbucks Coffee:

Today only, if you buy two espressos at regular price, you can buy any third beverage for $1.00.

Which is the greater quantity?

(a) The price of two espressos and a cappucino, bought today

(b) The price of three espressos, bought today

**Possible Answers:**

(a) and (b) are equal

(a) is greater

It is impossible to tell from the information given

(b) is greater

**Correct answer:**

(a) and (b) are equal

In each case, two espressos are being purchased at a regular price, and a third beverage is being purchased at $1.00. This means both sets of drinks cost the same.

### Example Question #8 : Tables

A pair of fair dice are tossed. Which is the greater quantity?

(a) The probability that the sum will be at least eight

(b) The probability that the sum will be at most six

**Possible Answers:**

(a) and (b) are equal

(a) is greater

It is impossible to tell from the information given

(b) is greater

**Correct answer:**

(a) and (b) are equal

The following table illustrates the ways that the dice can come up. The orange cells indicate a roll of 6 or less; the pink cells indicate a roll of eight or more.

Since each of these outcomes are equally likely, and there are fifteen outcomes that are favorable to each of the two events, the probabilities are the same.

### Example Question #9 : Tables

Refer to the above circle graph. Which of these quantities is greater?

(a) The number of students who voted for Phelps

(b) The number of students who voted for candidates other than Phelps

**Possible Answers:**

(a) and (b) are equal.

It is impossible to tell from the information given.

(a) is greater.

(b) is greater.

**Correct answer:**

(b) is greater.

The portion of the circle graph representing Phelps is light blue; it takes up less than half of the graph, so fewer than half of the votes were won by Phelps. (b) is correct.

### Example Question #5 : How To Find The Answer From A Table

The following is a portion of the menu at Moonbucks Coffee:

Which is the greater quantity?

(a) The price of two lattes and a cappucino

(b) The price of two Americanos and an espresso

**Possible Answers:**

(b) is greater.

It is impossible to tell from the information given.

(a) is greater.

(a) and (b) are equal.

**Correct answer:**

(a) is greater.

(a) Add:

(b) Add:

(a) is the greater quantity.