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 #541 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
A standard deck of 52 cards is altered by the addition of two jokers. A card is drawn at random. What are the odds against drawing an ace, a king, or a joker?
The two jokers bring the deck to fifty-four cards; since there are four aces, four kings, and two jokers, there are ten favorable outcomes and forty-four unfavorable outcomes. This makes the odds against a favorable outcome
or 22 to 5.
Example Question #41 : Tables
A card is drawn at random from a standard 52-card deck.
Which of the following outcomes has probability 
Drawing a black three.
Drawing a heart.
Drawing a black four or a black five.
Drawing a red face card (king, queen, jack).
Drawing an Old Maid card.
Drawing a black four or a black five.
One thirteenth of 52 is
so we are looking for an outcome that has four simple events - that is, four cards.
Drawing an Old Maid card: since a standard deck definitely does not have an Old maid card, this is incorrect.
Drawing a black three: there are two black threes, so this is not correct.
Drawing a red face card (king, queen, jack): This outcome includes two kings, two queens, and two jacks - six cards. This is not correct.
Drawing a heart: There are thirteen hearts, so this is not correct.
Drawing a black four or a black five: There are two black fours and two black fives - four cards. This is the correct response.
Example Question #42 : Tables
A standard 52-card deck is combined with the hearts and the spades from another deck, and the modified deck is shuffled. What is the probability that a card drawn at random from this modified deck will be a spade?
The modified deck will have 78 cards (the original 52 plus the added 26), 26 of which will be spades (the original 13 plus the added 13). The probability of drawing a spade will therefore be
Example Question #43 : Tables
A standard 52-card deck is combined with the diamonds and the clubs from another deck, and the modified deck is shuffled.
Which is the greater quantity?
(A) The probability that a card drawn at random from this modified deck will be an ace.
(B)
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(B) is greater
(A) is greater
(A) and (B) are equal
The modified deck will have 78 cards (the original 52 plus the added 26), 6 of which are aces (the original 4 plus the added ace of diamonds and ace of clubs); the probability that an ace will be drawn is
The quantities are equal.
Example Question #44 : Tables
Two standard decks of fifty-two cards, which we will call Deck 1 and Deck 2, are presented to you. The kings have been removed from Deck 1 and mixed in with Deck 2. A card is then drawn at random from Deck 2.
What is the probability that the card will be a spade?
None of the other responses gives the correct answer.
None of the other responses gives the correct answer.
After the four kings - one of which is a spade - are transferred between decks, Deck 2 has fourteen spades out of fifty-six cards overall. This makes the probability of drawing a spade
This is not among the given choices, so the correct response is "none of these".
Example Question #61 : Data Analysis And Probability
Define a sequence as follows:
For integers 
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
It is impossible to tell which is greater from the information given
(a) is greater
(b) is greater
(a) is greater
Subsituting:
Since the initial term of the sequence is positive, each subsequent term, 3 times the previous one, is positive, so
This makes (a) greater.
Example Question #542 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Above is a part of a schedule of flight arrivals; the common destination is New Orleans, Lousiana, which is located in the Central Time Zone (CT). Chicago and Houston are also in the CT; New York is in the Eastern Time Zone, which is one hour ahead of CT; Denver is in the Mountain Time Zone, one hour behind CT; Los Angeles is in the Pacific Time Zone, two hours behind CT. All arrival times are PM and are given in Central Time.
When Flight 289 took off, it was 1:39 PM at its point of departure. How long did the flight take? (You may assume all flights arrived on time.)
3 hours, 52 minutes
1 hour, 52 minutes
2 hours, 52 minutes
3 hours, 8 minutes
2 hours, 8 minutes
2 hours, 52 minutes
Flight 289 departed from New York, which is in the Eastern Time Zone, one hour ahead of New Orleans. Since the flight took off when it was 1:39, subtract one hour; the flight took off when it was 12:39 in New Orleans. We need to subtract the adjusted departure time from the arrival time - however, this must be done by rewriting 12:39 as 0:39:
"Borrow" one hour as follows:
The flight was 2 hours, 52 minutes long.
Example Question #63 : Data Analysis
Above is a part of a schedule of flight arrivals; the common destination is Atlanta, Georgia, which is located in the Eastern Time Zone. New York is also in the Eastern Time Zone; Chicago and Houston are in the Central Time Zone, which is one hour behind ET; Denver is in the Mountain Time Zone, two hours behind ET; Los Angeles is in the Pacific Time Zone, three hours behind ET. All arrival times are PM and are given in Eastern Time.
When Flight 23 took off, it was 11:21 AM at its point of departure. How long did the flight take? (You may assume all flights arrived on time.)
3 hours and 42 minutes
2 hours and 42 minutes
4 hours and 42 minutes
3 hours and 18 minutes
2 hours and 42 minutes
2 hours and 42 minutes
Flight 23 took off from Denver, which is in the Mountain Time Zone - two hours behind Atlanta time. Since it was 11:21 AM there, two hours must be added to this time to determine the time in Atlanta - this is 1:21 PM. Since the flight arrived in Atlanta at 4:03, the flight time was
We can "borrow" one hour, then subtract, as follows:
The flight took 2 hours and 42 minutes.
Example Question #61 : Data Analysis And Probability
Above is a part of a schedule of flight arrivals; the common destination is Atlanta, Georgia, which is located in the Eastern Time Zone. New York is also in the Eastern Time Zone (ET); Chicago and Houston are in the Central Time Zone, which is one hour behind ET; Denver is in the Mountain Time Zone, two hours behind ET; Los Angeles is in the Pacific Time Zone, three hours behind ET. All arrival times are PM and are given in Eastern Time.
Flight 289 lasted 1 hour 57 minutes. When it took off, what time was it at the location of its departure?
10:34 AM
2:34 PM
11:34 AM
1:34 PM
12:34 PM
1:34 PM
Flight 289 took off from New York, which is in the same time zone as Atlanta, so no adjustments for Time Zone need to be made. Subtract 1 hour 57 minutes from the arrival time of 3:31:
We can "borrow" one hour and subtract as follows:
It was 1:34 PM in New York when the airplane departed.
Example Question #61 : Data Analysis And Probability
One ordinary six-sided die is altered such that the probability of tossing a six on that die is 
Which of the following is the greater quantity?
(a) The probability that the roll of two fair dice will come up a total of 12
(b) The probability that the roll of the two altered dice will come up a total of 12
(b) is the greater quantity
(a) is the greater quantity
It cannot be determined which of (a) and (b) is greater
(a) and (b) are equal
(b) is the greater quantity
The only way for a roll of two dice to come up with a sum of 12 is for the dice to show a double-six. Apply the multiplication principle using the probability of a roll of six on each die.
The probability of a roll of six on a fair die is 
The probability of a double-six on the altered dice is 
All ISEE Upper Level Quantitative Resources
