SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #81 : How To Find Mean

In Maria's family, her parents are both 45 years old, and her younger brother is 2 years younger than she is. What is the mean of their ages, if Maria is 5 years old?

Possible Answers:

Correct answer:

Explanation:

The mean of a set is found by finding the sum of the set and then dividing by the number of items in the set. Given that both of her parents are 45 years old, that Maria is 5 years old, and that her brother is 3 years old (being 2 years younger than she is), the mean is calculated using this equation:

Example Question #465 : Data Analysis And Probability

The substitute teacher gave her class a quiz. Initially, she believed that there were 15 students in her class who scored an average of 7 out of 10. However, she later realized that there was a 16th student in the class who simply refused to take the quiz, and thereby got a score of 0. What is the average quiz score (to the nearest hundredth), when considering this 16th student?

Possible Answers:

Correct answer:

Explanation:

If 15 students got an average score of 7, and 1 student got a score of 0, the average score of the 16 students can be found with this equation:

Example Question #91 : Mean

A student wishes to receive an average score of 92 percent in his history class. His grade consists of five test scores, the first four of which he received the following grades: 86, 97, 95, and 89. On the last test he receives an 88. Is this score enough to have the desired average in the class (assuming no rounding)? If no, then what score did he need?

Possible Answers:

No, he needs a 99 to have an average score of 92. 

No, he needs a 92 to have an average score of 92. 

No, he needs a 93 to have an average score of 92.

No, he needs a 89 to have an average score of 92. 

Yes, this score will give him an average of 92. 

Correct answer:

No, he needs a 93 to have an average score of 92.

Explanation:

The question asks to find the average score of the five tests taken and to compare it to the desired average of 92 percent. To find the average, add all five scores then divide by five.

His test score of 88 will give him a class average of 91, not 92. To determine what score he needs, take the final test score to be the variable x, and use the average equation again, this time using the desired average of 92. Solve for x.

Therefore, the score he must receive to average a 92, without rounding, is a 93. 

Example Question #521 : Ssat Middle Level Quantitative (Math)

What number is halfway between  and ?

Possible Answers:

Correct answer:

Explanation:

The two numbers are  apart, so the number half way between is  away from both.  Or you could find the average of  and .  The answer is the same.

Example Question #522 : Ssat Middle Level Quantitative (Math)

Find the mean of the following set of numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the numbers, and divide by 5:

Example Question #523 : Ssat Middle Level Quantitative (Math)

Find the mean of this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First add all the numbers; then, divide by the amount of numbers in the set:

Answer: The mean is .

Example Question #524 : Ssat Middle Level Quantitative (Math)

Find the mean of the following set:

Possible Answers:

Correct answer:

Explanation:

The mean is the sum of the numbers in the set divided by the number of values in the set:

Example Question #82 : How To Find Mean

Olivia is considering buying a new car. She is looking at three different cars. The price for the three cars is ,  and , respectively. What is the average price of a car Olivia is considering?

Possible Answers:

Correct answer:

Explanation:

First add up the prices of each of the cars:

Then divide that number by the total number of cars:

Answer: The average price of a car Olivia is considering is 

Example Question #83 : How To Find Mean

Find the mean of this set of numbers:

Possible Answers:

Correct answer:

Explanation:

First, add the numbers in the set:

Then divide by the amount of numbers in the set:

Answer: The mean is .

 

Example Question #115 : Data Analysis And Probability

Andy is grading the tests of  of his students and their results were as follows; .  What is the average grade in the class?

Possible Answers:

Correct answer:

Explanation:

To find the average, you must first add up all of the test scores.  The total is .  Then you must divide that number by the number of test scores.  Your final answer would be .

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