Speed
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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 Review

Question 1 of 19
1. Question
Emerson drives to the beach for her job as a lifeguard. She drives for \(20\) minutes at a constant speed of \(30\) mph on the way there. On the way home, she drives \(20\) mph. What is her average speed for the roundtrip?
CorrectIncorrect 
Question 2 of 19
2. Question
Daisy and Maisy run the same distance. If Daisy runs at a constant speed of \(30\) mph and Maisie runs at a constant speed of \(20\) mph, which of the following expressions represents their average speed?
CorrectIncorrect 
Question 3 of 19
3. Question
Sadie and Mandy are both late for school. They each leave their respective house at the same time to bike to their school. Sadie arrives in \(12\) minutes and Mandy arrives \(2\) minutes later. Which additional piece of information would be needed to determine who biked at the faster speed?
CorrectIncorrect 
Question 4 of 19
4. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Alice and Olivia decide to go to the movies by different modes of transport. Alice rides her scooter for \(30\) minutes at a constant speed of \(24\) mph, while Olivia drives her car at a constant speed. The twinsā average speed is \(30\) mph.
Column A
The amount of time, in minutes, it takes Olivia to get to the movies
Column B
\(18\)
CorrectIncorrect 
Question 5 of 19
5. Question
Karen and Eric are crosscountry skiers. At a recent race, Eric skied at a constant rate of \(4\) mph. Karen skied at a constant rate of \(3\) mph. How much longer does it take Karen to ski \(12\) miles?
CorrectIncorrect 
Question 6 of 19
6. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Daniela drove her speed boat for \(3\) hours at a constant rate of \(40\) mph. She then drove another \(5\) hours at a constant rate of \(36\) mph.
Column A Danielaās average speed, in mph
Column B \(38\)
CorrectIncorrect 
Question 7 of 19
7. Question
Natalie started iceskating around a huge lake at 1pm. She skates at a constant rate of \(4\) mph. \(2\) hours later, her cousin Bri starts iceskating along the same path. If Briās speed is \(50\)% faster than Natalieās, how many miles will they skate when Bri catches up to Natalie?
CorrectIncorrect 
Question 8 of 19
8. Question
Emily and Ben live \(2\) miles from school. They leave school at the same time to head home. Emily walks at a constant speed of \(4\) mph. Ben bikes at a constant speed of \(b\) mph. If their average speed is \(6\) mph, how long did it take Ben to bike home?
CorrectIncorrect 
Question 9 of 19
9. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Francesca spends \(3\) hours driving to Point A at a constant rate of \(50\) mph. She then drives \(2\) hours to Point B, driving \(20\)% faster.
Column A Francescaās average speed for the entire trip
Column B \(54\) mph
CorrectIncorrect 
Question 10 of 19
10. Question
Melody can rollerblade at a constant speed of \(12\) mph. James can rollerblade at a constant speed of \(15\) mph. How much longer will it take Melody to rollerblade \(30\) miles?
CorrectIncorrect 
Question 11 of 19
11. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Meghan lives \(2\) miles from the beach. She bikes there at a constant speed of \(4\) mph. She walks back home at a speed of \(s\) mph. Her average speed for the round trip is \(3\) mph.
Column A The number of minutes it took Meghan to walk home from the beach
Column B \(45\) minutes
CorrectIncorrect 
Question 12 of 19
12. Question
Josh runs at a constant speed of \(6\) mph. Lucas runs at a constant speed of \(5\) mph. How much longer will it take Lucas to run \(15\) miles?
CorrectIncorrect 
Question 13 of 19
13. Question
Helena and Dani are sledding down a large hill. Helena sleds at a constant rate of \(240\) yards per minute. Dani finishes the race in \(1.5\) minutes. Which additional piece of information is needed to determine who wins?
CorrectIncorrect 
Question 14 of 19
14. Question
Thomas swims from Point A to Point B and back again. He swims at a constant rate of \(3\) mph on the way to Point B. He arrives back to Point A in \(30\) minutes. Which additional piece of information is needed to determine his speed on his return trip?
CorrectIncorrect 
Question 15 of 19
15. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Ryan walks to lacrosse practice at a constant rate of \(5\) mph and arrives in \(24\) minutes. His sister, Jennie, bikes to track and field practice, which is \(3\) times as far, and she arrives in half the time.
Column A Jennieās speed, in mph
Column B 28
CorrectIncorrect 
Question 16 of 19
16. Question
Tanya bikes at a constant speed of \(12\) mph. \(75\) minutes later, Gretta starts biking at a constant speed of \(16\) mph from the same point along the same path. How long after Tanya reaches a distance of \(48\) miles will Gretta reach the same distance?
CorrectIncorrect 
Question 17 of 19
17. Question
Keith and Calvin both start hiking the same path at the same time. Keith hikes at a constant speed of \(4\) mph, while Calvin hikes at a constant speed of \(6\) mph. Calvin stops hiking after \(90\) minutes. How long will he have to wait for Keith to catch up to him?
CorrectIncorrect 
Question 18 of 19
18. Question
Caroline walks to the library for her parttime job. It takes her \(30\) minutes, walking \(4\) mph. On the way home, a coworker drives her home. Which additional piece of information is needed to determine the average speed at which the car travels?
CorrectIncorrect 
Question 19 of 19
19. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
Katie is riding her vespa at a constant rate of \(48\) mph. Connie is riding her vespa at a constant rate of \(60\) mph.
Column A How much farther than Katie will Connie drive in \(5\) hours, in miles
Column B \(48\) miles
CorrectIncorrect