ISEE Upper Level Quantitative : ISEE Upper Level (grades 9-12) Quantitative Reasoning
Study concepts, example questions & explanations for ISEE Upper Level Quantitative
All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #1 : How To Find The Answer From A Table
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)?
The costs of the beverages will be as follows:
Add these amounts:
20% of this is
Example Question #11 : Data Analysis And Probability
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
(b) is greater
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
(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 #12 : Data Analysis And Probability
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
(a) is greater
It is impossible to tell from the information given
(a) and (b) are equal
(b) is greater
(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 #1 : How To Find The Answer From A Table
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
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
(b) is greater
(b) is greater
(a) The four Turkish coffees cost 
(b) The two Cafe Americanos cost 
This makes (b) the greater quantity.
Example Question #14 : Data Analysis And Probability
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
(b) is greater
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
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 #2 : 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
(b) is greater
(a) is greater
(a) and (b) are equal
It is impossible to tell from the information given.
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 #3 : 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
It is impossible to tell from the information given
(a) is greater
(a) and (b) are equal
(b) is greater
(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 #4 : How To Find The Answer From A Table
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
(a) and (b) are equal
(b) is greater
(a) is greater
It is impossible to tell from the information given
(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 #5 : How To Find The Answer From A Table
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
(b) is greater.
(a) and (b) are equal.
It is impossible to tell from the information given.
(a) is greater.
(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 #6 : 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
(b) is greater.
It is impossible to tell from the information given.
(a) and (b) are equal.
(a) is greater.
(a) is greater.
(a) Add:
(b) Add:
(a) is the greater quantity.
All ISEE Upper Level Quantitative Resources
