All ISEE Lower Level Math Resources
Example Questions
Example Question #4 : How To Identify The Parts Of A List
Define the set
Which of the following is not a subset of ?
A subset of a set , by definition, is any set that contains no elements not in . All elements in , , and are contained in and the sets are subsets; also, , the empty set, is considered a subset of every set. , however, contains element , so
.
Example Question #5 : How To Identify The Parts Of A List
Define two sets as follows:
How many elements are in ?
is the union of sets and - the set of all elements that appear in either or . These elements are:
This is a set of 14 elements.
Example Question #6 : How To Identify The Parts Of A List
Define a set as follows:
Which of the following is a subset of ?
A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here:
The remaining set can be seen to have only elements from :
This is the correct choice.
Example Question #2 : How To Identify The Parts Of A List
Ms. Howard gave the students a test last Friday and they are reviewing it in class today.
The student scores were as follows:
Carla 80
Ben 75
Joe 90
Paul 100
Zoe 70
What was the median score for the test?
None of the other answers.
To find the median the set of numbers must be put in order [least to greatest OR greatest to least]. Once the numbers are in order, then cross out one number from each side of the list until the middle of the ordered numbers is reached.
The number in the middle of the ordered numbers is the median.
Placing the scores in order from least to greatest the list would appear as follows:
70, 75, 80, 90, 100
Cross out one number at a time from each side.
First cross out 70. Next, cross out 100. Then, cross out 75. Finally, cross out 90.
70, 75, 80, 90, 100
The median is the number left in the middle of the ordered list which is 80.
Example Question #3 : How To Identify The Parts Of A List
What is the mode of the following set of numbers?
The mode is the number that is repeated most often. is repeated three times, more than any other number in the set.
Example Question #7 : How To Identify The Parts Of A List
What is the mode of the following set of numbers?
The mode of a set of numbers is the number that is repeated most often. In this example, is repeated three times, more than any other number in the set. Therefore, is the mode.
Example Question #11 : How To Identify The Parts Of A List
What is the mean of the following set of numbers?
The mean represents the average of a set of values. To find the mean, or average, first find the sum of the set of numbers.
Then, divide the sum by however many numbers are in the set. In this set there are ten numbers, so we will divide two hundred by ten.
Therefore, the mean is .
Example Question #31 : Sets
What is the mode of this data set?
The mode of a set is the number that occurs most often. In this set, it is 4.
Example Question #106 : Data Analysis
Which tool is best to measure the length of your bed?
Scale
Yardstick
Ruler
Calculator
Compass
Yardstick
Since the length of your bed is probably somewhere around 6 feet, the best tool to use is a yardstick. A ruler would require more measurements, and therefore, leave more room for error.
Example Question #32 : Sets
Which answer choice descirbes the numbers in this set?
Factors of eight
Multiples of four
None of these
Odd numbers
Prime numbers
Multiples of four
The set contains multiples of four.
Odd numbers are not divisible by two, and prime numbers have no factors other than the number itself and one. None of the numbers in this set are odd, nor are they prime. Four is a factor of eight, but none of the other numbers in the set are factors of eight.
Certified Tutor