ISEE Upper Level Quantitative : Tables
Study concepts, example questions & explanations for ISEE Upper Level Quantitative
All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #11 : Tables
A pair of fair dice are tossed. Which is the greater quantity?
(a) The probability that a 6, a 7, or an 8 will come up
(b) The probability that a number other than 6, 7, or 8 will come up
(a) and (b) are equal.
(b) is greater.
(a) is greater.
It is impossible to tell from the information given.
(b) is greater.
Out of thirty-six possible rolls, there are five ways to roll a six:
Six ways to roll a seven:
Five ways to roll an eight:
This is sixteen rolls out of thirty-six. Therefore, there are twenty rolls that do not result in one of these three numbers. Since all rolls are equally likely, this makes (b) the greater probability.
Example Question #22 : Data Analysis And Probability
The following is a portion of the menu at Moonbucks Coffee:
Which is the greater quantity?
(a) The price of two lattes and a large milk
(b) The price of two espressos and a large milk
(a) and (b) are equal.
(a) is greater.
It is impossible to tell from the information given.
(b) is greater.
(b) is greater.
Although the price of the large milk is not given, it is not needed here since one large milk appears in both orders. All that is needed are the prices of the lattes and the espressos. Since an espresso costs more than a latte, two espressos and a milk cost more than two lattes and a milk. This makes (b) greater.
Example Question #23 : Data Analysis And Probability
The following is a portion of the menu at Moonbucks Coffee:
Today only, if you purchase two Turkish coffees, you get the third one for .
Which is the greater quantity?
(a) The price of three Turkish coffees, bought today
(b) The price of three Americanos.
(a) is greater.
(a) and (b) are equal.
(b) is greater.
It is impossible to tell from the information given.
(a) is greater.
(a) The three Turkish coffees cost 
(b) The three Americanos cost 
(a) is the greater quantity.
Example Question #24 : Data Analysis And Probability
Refer to the above graph, which shows the high temperatures in the town of Smithville over seven days.
Which is the greater quantity?
(a) The high temperature for Sunday
(b) The low temperature for Saturday
It is impossible to tell from the information given.
(a) is greater.
(a) and (b) are equal.
(b) is greater.
(a) is greater.
From the graph, it can be seen that the high temperature for Sunday is higher that the high temperature for Saturday, which, by definition, must be greater than the low temperature for Saturday. That makes (a) greater.
Example Question #25 : Data Analysis
The following is a portion of the menu at Moonbucks Coffee:
Assume there is no tax on beverages.
Steve bought a Turkish coffee and paid for it with a five dollar bill. Marsha bought three cafe Americanos and paid for them with a ten-dollar bill. Which is the greater quantity?
(a) The amount of change Steve got back
(b) The amount of change Marsha got back
(b) is greater.
It is impossible to tell from the information given.
(a) and (b) are equal.
(a) is greater.
(b) is greater.
(a) Steve paid $3.09 for his Turkish coffee. Since he paid $5.00, his change was 
(b) Marsha paid 
Marsha got more change back, making (b) higher.
Example Question #31 : Data Analysis And Probability
A fair coin is tossed five times. Which is the greater quantity?
(a) The probability that heads appear four or five times
(b) The probability that heads appear zero or one time
(a) is greater.
(b) is greater.
It is impossible to tell from the information given.
(a) and (b) are equal.
(a) and (b) are equal.
The event in (b) - that heads appear zero or one time - is exactly the same as the event that tails appear four or five times. Since heads and tails come up in each trial with equal probability, the events in (a) and (b) will be equally probable. This makes the quantities equal.
Example Question #32 : Data Analysis And Probability
Refer to the above graph, which shows the high temperatures in the town of Smithville over seven days.
Which is the greater quantity?
(a) The low temperature on Thursday
(b) The low temperature on Saturday
It is impossible to tell from the information given.
(a) is greater.
(a) and (b) are equal.
(b) is greater.
It is impossible to tell from the information given.
The graph gives absolutely no information about the low temperatures on any of the seven days; the high temperatures have no relevance to the answer in this question.
Example Question #17 : Tables
The following is a portion of the menu at Moonbucks Coffee:
Which is the greater quantity?
(a) The price of a latte, a Cafe Americano, an espresso, and a Turkish coffee
(b) The price of a latte, a cappucino, a medium cola, and an espresso
(a) is greater.
(b) 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 order in choice (b) includes a medium cola, the price of which is not given. It is therefore impossible to tell which order costs more.
Example Question #33 : Data Analysis And Probability
Refer to the above graph, which shows the high temperatures in the town of Smithville over seven days.
Which is the greater quantity?
(a) The decrease in the peak temperature between Tuesday and Wednesday
(b) The decrease in the peak temperature between Wednesday and Thursday
(b) is greater.
(a) and (b) are equal.
(a) is greater.
It is impossible to tell from the information given.
(a) and (b) are equal.
Observe the portions of the line graph between Tuesday and Wednesday and between Wednesday and Thursday. The portions have the same slope, so the decreases are the same.
Example Question #19 : Tables
Below is a table that gives the population of Washington City for five census years.
Which is the greater quantity?
(a) The population increase in Washington City from 1970 to 1975
(b) The population increase in Washington City from 1975 to 1980
(b) is greater
(a) and (b) are equal
(a) is greater
It is impossible to tell from the information given
It is impossible to tell from the information given
No information is given in the table about the population of Washington City in 1975. Therefore, it cannot be determined with any certainty which population change was the greater.
All ISEE Upper Level Quantitative Resources
