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 #221 : Data Analysis And Probability

What is the missing variable from the set?

Possible Answers:

Correct answer:

Explanation:

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 #222 : Data Analysis And Probability

What is the mean of the set:

 

Possible Answers:

Correct answer:

Explanation:

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 #223 : Data Analysis And Probability

The weight of the apples that Katie bought are given in pounds:

What is the median?

Possible Answers:

Correct answer:

Explanation:

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 #224 : Data Analysis And Probability

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?

Possible Answers:

Correct answer:

Explanation:

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 , or  miles.

Example Question #225 : Data Analysis And Probability

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?

 

Possible Answers:

Correct answer:

Explanation:

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 #35 : How To Identify The Parts Of A List

What is the median of the set below?

Possible Answers:

Correct answer:

Explanation:

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, , the first step is to rearrange the numbers from smallest to largest. 

Given that  is the middle number of this set, it is the correct answer. 

 

 

Example Question #66 : Sets

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?

Possible Answers:

Correct answer:

Explanation:

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  is equal to the number of songs on the third CD:

Multiply each side by 3. 

Subtract 25 from each side. 

Example Question #61 : Sets

Which of the numbers in the set below is the smallest?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

You must look at the pattern that is present first.  The first term is multiplied by . Then the next value is divided by . This pattern follows for the third and fourth terms. So it must continue with , and .

Example Question #44 : How To Identify The Parts Of A List

What does the above set represent?

Possible Answers:

All prime numbers below 

All outcomes of drawing cards from a standard deck

Factors of 

All odd numbers below 

All outcomes of rolling a die

Correct answer:

All outcomes of rolling a die

Explanation:

A die has six sides numbered one through six so the set above must represent that situation.  

All prime numbers below : Is false because six is not a prime number.

Factors of : Is false because five is not a factor of .

All odd numbers below : Is false because three of the numbers in the set are even numbers.

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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