ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #21 : Sets

What is the value of x in the following set?

Possible Answers:

Correct answer:

Explanation:

Given that each subsequent number is 3 times the previous number, the value of x is 1, because 1 times 3 is 3. Therefore, 1 is the correct answer. 

Example Question #22 : Sets

What is the value of x in the set below?

Possible Answers:

Correct answer:

Explanation:

The pattern in the set is that each number increases by 4. Therefore, since 4 plus 20 equals 24, x is 24. 

Example Question #23 : How To Find The Missing Part Of A List

What is the missing value in the following set:

Possible Answers:

Correct answer:

Explanation:

The set is made up of only even numbers that are below .  The only missing even number that is less than  from this set would be .

Example Question #24 : How To Find The Missing Part Of A List

The follow set is all the outcomes of rolling a die. What is 

Possible Answers:

Correct answer:

Explanation:

Since a die has six sides, all of the possible outcomes are  through .  

Since  is the only value in that range missing from the set, .

Example Question #25 : How To Find The Missing Part Of A List

If the set below includes all possible whole number factors of , what is missing?

Possible Answers:

Correct answer:

Explanation:

A factor is a number that is multiplied by another to get another value.  

To get  you may multiply 

 

and also 

.  

With that in mind, that answer must be .

Example Question #23 : How To Find The Missing Part Of A List

Find the missing part to the set:

Possible Answers:

Correct answer:

Explanation:

When finding the missing part of a set, we must first look at the relationship each number has within the set.  So, looking at the set

we will look at the numbers in the set.  We can see the first three numbers are 2, 4, and 6.  How are these numbers related?  We can see that from one number to the next, we are adding 2 (if we add 2 to 2, we get 4; if we add 2 to 4 we get 6).  Let's look at the last two numbers, 10 and 12.  Does that same relationship work?  Yes, we are again adding 2 to 10 and we get 12.

So, to find the missing number in the , we will simply add 2 to the number before it.  So,

Therefore, the missing number in the set is .

Example Question #1 : How To Identify The Parts Of A List

The data below represent the ages of the people attending the Morton family reunion. Find the range for the data.

Possible Answers:

Correct answer:

Explanation:

In order to find the range, we must find the difference between the largest number in the data and the smallest number in the data. The easier way to locate the smallest and largest numbers in the data is to put them in order of smallest to largest.

By doing this we can see that 72 is our largest number and 4 is our smallest number. Now we find the difference between these two numbers using subtraction.

Example Question #23 : Sets

These are the test scores on the final exam for Ms. Robinson’s math class:
. What is the mode of these scores?

Possible Answers:

Correct answer:

Explanation:

In order to find the mode of a set of data, we must find the number that occurs the most often. In this set,  appears three times, making it the most common number in the data set, so it is the mode.

Example Question #184 : Data Analysis And Probability

In Mr. Shoemaker’s class, the students took a poll to see how many siblings each student in the class had. Five of the students reported having 1 sibling. Two students reported having no siblings. Three reported having 4 siblings. Seven reported having 3 siblings. This data can be represented as: . What is the median of this data.

Possible Answers:

Correct answer:

Explanation:

The median of a set of data is the number that is physically in the middle of that data set when it is displayed in order from smallest to largest. In order to find the median of this data, we must first put it in order of smallest to largest.

Next we determine how many students there are by adding together how many students reported having each number of siblings.

Since seventeen is an odd number, one number will represent the median, and that number will be the 9th number in the sequence. We know this because the 9th number has eight on either side of it, putting it exactly in the middle of the data.

In our sequence, the 9th number is , making the median of our data .

Example Question #3 : How To Identify The Parts Of A List

Maribel bought a pack of colorful rubber bands to make bracelets for her friends.  In the pack of rubber bands there were 17 yellow, 3 black, 21 orange, 13 red, 40 blue and 6 green.  Which color would be the mode of the pack?

Possible Answers:

Blue

Orange

Red

Yellow

Black

Correct answer:

Blue

Explanation:

The mode is defined as the MOST in appearance. In the pack of rubber bands the color blue would appear the most in the pack.

Therefore, the mode [MOST] is Blue.

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