Averages
In this assessment, you will encounter a number of different questions that will assess both your understanding of mathematics and your ability to reason quantitatively.
Instructions
(Click to Read)
Do not use a calculator in this assessment. You shouldn’t need one to answer these questions, and the extra practice with arithmetic (long division, multidigit multiplication, etc.) will just make you a better math student!
Once you input your answer, click on “Check” to see immediate feedback about the question, including an explanation. You can also skip the question and come back to it later.
You may encounter different types of questions:
 Multiple Choice
 You will see several answer choices, but only one will be correct.
 Select the correct answer choice.
 FreeResponse (OpenEnded)
 You will not see any answer choices, and only one answer is correct.
 Type your answer into the space provided.
 For fractions, input your answer as “#/#” without the quotation marks, replacing the # with numbers. For example:
 to input an answer of \(\frac{1}{2}\), type “1/2” without the quotation marks.
 For decimals less than 1, input your answer with a leading zero. For example:
 to input an answer of \(0.5\), type “0.5” without the quotation marks.
 For whole numbers, just type the number into the space provided. For example:
 to input an answer of \(5\), type “5” without quotation marks.
 ChecktheBox
 You will see several answer choices, but one or more may be correct.
 Select all correct answer choices.
Tips
(Click to Read)
 These aren’t basic math questions – they’re tricky! Read closely and make sure you know what’s being asked.
 Do calculations on paper with a pencil. You don’t get extra credit for answering in your head!
Assessment Summary
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 Data & Probability – Averages 0%

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Question 1 of 20
1. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Abigail and Andrew are playing the same video game.
On the first five levels, the number of points Abigail scored were \(0\), \(0\), \(0\), \(0\), and \(400\).
On the same five levels, the number of points Andrew scored were \(80\), \(80\), \(80\), \(80\), and \(80\).
Column A
Abigail’s point average
Column B
Andrew’s point average
CorrectIncorrect 
Question 2 of 20
2. Question
A set of \(5\) numbers has a mean of \(6\). What additional number must be included in this set to create a new set with a mean that is \(4\) less than the mean of the original set?
CorrectIncorrect 
Question 3 of 20
3. Question
Johnny took \(4\) tests and his mean test grade was \(80\). Willy took \(5\) tests. If both students have the same sum of test grades, what was Willy’s mean test grade?
CorrectIncorrect 
Question 4 of 20
4. Question
Tia scored \(87\), \(97\), and \(79\) on her first three biology tests. If she wants a test average of \(90\) after her next test, what is the least she can score on her fourth test?
CorrectIncorrect 
Question 5 of 20
5. Question
If the average of \(n\) numbers is \(z\), what is the sum of these numbers?
CorrectIncorrect 
Question 6 of 20
6. Question
The mean value of ten numbers is \(12\). Three of these numbers (\(4\), \(2\), and \(9\)) are discarded. What is the mean of the remaining seven numbers?
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Question 7 of 20
7. Question
A truck traveled \(50\) miles at an average speed of \(50\) miles per hour, then traveled the next \(70\) miles at an average speed of \(35\) miles per hour. What was the average speed of the car for the entire trip, in miles per hour?
CorrectIncorrect 
Question 8 of 20
8. Question
Beverly scored an average of \(15\) points per game in her first \(3\) basketball games. In her \(4th\) game, she scored \(27\) points. What is her average score for the first \(4\) games?
CorrectIncorrect 
Question 9 of 20
9. Question
The average age of a group of \(10\) doctors is \(40\) years. If \(5\) additional doctors are added to the group, the average age of the \(15\) doctors is \(46\) years. What is the average age of the \(5\) additional doctors?
CorrectIncorrect 
Question 10 of 20
10. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Avery took \(5\) tests and has a test average of \(88\). His next test score will count twice towards his average.
Column A
The lowest he can score on his next test in order to raise his test average to a \(90\)
Column B
\(95\)
CorrectIncorrect 
Question 11 of 20
11. Question
Abraham’s weekly biology assignment is to read \(250\) pages. He plans to do the assignment in \(8\) hours. For the first \(2\) hours, he read at an average rate of \(20\) pages per hour. What is the average number of pages he must read per hour over the next \(6\) hours in order to complete the assignment according to his plan?
CorrectIncorrect 
Question 12 of 20
12. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Integers \(x\), \(y\), and \(z\) have a mean of \(15\). If \(x+y=90\)
Column A \(z\)
Column B \(45\)
CorrectIncorrect 
Question 13 of 20
13. Question
If the average of \(x\) and \(x1\) is \(m\) and if the average of \(x\) and \(x+1\) is \(n\), which of the following represents the average of \(m\) and \(n\)?
CorrectIncorrect 
Question 14 of 20
14. Question
The mean score of \(9\) players in a football game was \(6\) points. If the highest individual score is removed, the mean score of the remaining \(8\) players becomes \(4\) points. What was the highest score?
CorrectIncorrect 
Question 15 of 20
15. Question
Connor’s grade in math will come from his scores on \(5\) quizzes and a final exam. The average of his \(5\) quiz scores was \(82\). His final exam score will count three times as much as a quiz score. What must he score on his final exam in order to get a grade of \(85\) in math?
CorrectIncorrect 
Question 16 of 20
16. Question
Bob bowled \(3\) games and had a mean score of \(240\). Dylan bowled \(2\) games and had a mean score of \(190\). What was the mean of the scores for all \(5\) of these games?
CorrectIncorrect 
Question 17 of 20
17. Question
The average of \(16\), \(91\), and \(x\) is \(16\). Column A \(x\) Column B \(41\)
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Question 18 of 20
18. Question
Flynn runs twice around his school track. It takes \(10\) minutes to run the first loop around the track, and \(20\) minutes to run the second loop. If the track is \(1.5\) miles long, what is his average speed, in miles per hour?
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Question 19 of 20
19. Question
If \(x\) is the average of \(n\) and \(5\), and \(y\) is the average of \(3n\) and \(7\), what is the average of \(x\) and \(y\), in terms of \(n\)?
CorrectIncorrect 
Question 20 of 20
20. Question
Rosario will take a total of five tests in her history class. She has already taken three of the tests and earned scores of \(91\), \(80\), and \(93\). If all test scores range from \(0\) to \(100\), what is the lowest possible score Rosario can earn on the fourth test and still be able to earn an average score of \(90\) on all five tests?
CorrectIncorrect