ISEE Lower Level Math : Sets
Study concepts, example questions & explanations for ISEE Lower Level Math
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Example Questions
Example Question #61 : Sets
What is the missing variable from the set?
To find the value of the missing term, we need to determine the trend in the set.
In this case, the set is comprised of prime numbers in decending order. The next term in this series will be 3.
Example Question #62 : Sets
What is the mean of the set:
The mean of a set is found by dividing the sum of the set by the number of items in the set. This gives us the equation:
The mean is 4.
Example Question #37 : How To Identify The Parts Of A List
The weight of the apples that Katie bought are given in pounds:
What is the median?
The median is the number that is in the middle of the set when ordered smallest to largest.
When the set is ordered smallest to largest, the set is:
Since 0.35 is the fourth number in the set of seven numbers, it is in the middle and therefore the median.
Example Question #63 : Sets
Beth runs two miles on Monday, three miles on Tuesday, and two miles on Thursday. What is the mean number of miles that she runs per day?
The mean is found by taking the sum of the numbers in a set and dividing by the number of items in that set.
Over the four days, Beth runs two miles, three miles, zero miles, and then another two miles, for a sum of seven miles.
Thus, the mean is 
Example Question #64 : Sets
5 brothers attend a family reunion. The oldest is 26 years old. If the brothers' ages are spaced by 2 years, how old is the second youngest brother?
If the oldest brother is 26 years old, and their ages are all evenly spaced by two years each, then their ages must be as follows:
The second youngest brother is therefore 20 years old. Thus, 20 is the correct answer.
Example Question #40 : How To Identify The Parts Of A List
What is the median of the set below?
The median is the middle number of a set when the numbers are organized from smallest to largest.
In order to find the median of the set, 
Given that 
Example Question #41 : How To Identify The Parts Of A List
Joe's three CDs each have an average of thirteen songs on them. If one CD has twelve songs and another CD has thirteen songs, how many songs does the third CD have on it?
The average of a set consists of the sum of the numbers in a set divided by that items in that set.
Therefore, the following equation would apply, in which 
Multiply each side by 3.
Subtract 25 from each side.
Example Question #65 : Sets
Which of the numbers in the set below is the smallest?
The smallest number will be the number that is the most negative. The number -4 is the most negative because it is the furthest away from zero on the number line of negative numbers from the list provided. Therefore, -4 is the correct answer.
Example Question #43 : How To Identify The Parts Of A List
What are the next three terms in the following set?
You must look at the pattern that is present first. The first term is multiplied by 
Example Question #44 : How To Identify The Parts Of A List
What does the above set represent?
All outcomes of rolling a die
All outcomes of drawing cards from a standard deck
All prime numbers below
Factors of
All odd numbers below
All outcomes of rolling a die
A die has six sides numbered one through six so the set above must represent that situation.
All prime numbers below 
Factors of 
All odd numbers below 
All outcomes of drawing cards from a standard deck: Is false because a deck of cards also has face cards and numbers larger than six.
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