Problems to study for Math 105 Exam 3 BETA

Here is a breakdown of Math 105 Exam 3 by topic. Each problem reference is a link, so you can click on it to see the problem. Your browser should take you to the right page of the exam, but keep in mind that the problem you're looking for might be toward the bottom of the page. Next to each problem you'll see a # character. If you click on that, it should take you to the solution.

Old exam problems should not be the only thing you study. They are designed to test knowledge, not teach it. And there's a danger that you might start thinking you know exactly what will be on the test. While there are some predictable topics, there will undoubtedly be questions on this year's exam which are different from any that have appeared before. So keep in mind that you're training yourself to approach hard problems, not memorizing how to do particular types.

Here's my suggestion for how to use this page:

  1. Try a sampling of problems to identify an area that you need help with.
  2. Go to your book to read about the topic.
  3. Come back here and find more problems on the same topic, to see if you got it.

Don't omit step 2.

I'm not entirely happy with the topics shown below. Please make suggestions on how to better categorize problems.

Let me know any errors you find, and any other feedback you have on how well it works and how to make it more useful. Links to all the exams are at the bottom of the page.

Topic 2001–2012 2013–present
linear functions [Vampire movie(2)#] [2#] [3#] [3#] [12#] [cell growth(9)#] [7#] [10#] [2#] [notebooks(10a)#] [semicircle(11c)#] [2#] [Wonky Bars(1)#] [Math tas tique(1)#] [Pam the Plumber(1)#]
domain and range [1#] [1#] [karat rating(8)#] [slingshot(7)#] [brick(4)#] [7#] [diver(5)#] [giraffe(1)#] [2#] [rabbit(8)#] [1#] [chlorine(6)#] [7#] [3#] [painkiller(5)#] [1#] [6#] [advertising(8)#] [1#] [1#] [3#] [6#] [frisbee(3b)#] [7b#] [1ab#] [1c#] [3#] [12d#] [2a#] [3a#] [1a#] [2a#] [2#] [Smashing Squash(3b)#] [1a#] [1a#] [1a#] [6#] [Apples(5c)#] [fuel economy(3ce)#]
calculate quantities/relationships from table/graph/formula [8#] [11#] [4#] [2#] [1#] [5#] [5#] [7#] [1#] [9#] [1#] [3#] [4#] [fuel economy(3)#]
quad functions [Vampire movie(2)#] [slingshot(7)#] [diver(5)#] [1#] [package(5)#] [potato farmer(7)#] [Fritz(9)#] [building(8)#] [10#] [1#] [11a#] [1b#] [Extra High Flying Ball(4)#]
interpretations [4#] [quinoa(2)#] [browsers(3)#] [karat rating(8)#] [timely time(12)#] [computer memory(8)#] [garment(9)#] [coffee(11)#] [12#] [3#] [anthill(9)#] [helmets(2)#] [frogs(4)#] [pollution(7)#] [midterm(3)#] [flu(4)#] [velociraptor(11)#] [coffee(5)#] [recycling(7)#] [trout(9)#] [apples(2)#] [1#] [pool(3)#] [5#] [fish(7)#] [6#] [5#] [corn cobs(6)#] [8#] [animal food(5)#] [Running routine(5)#] [Mealworm(7)#] [chickenville(7)#] [ants(1d)#] [time travel(6)#] [wrapping paper(3b)#] [time machine(4b)#] [fruit(3)#] [dress shop(3)#] [thanksgiving(8)#] [wood(7)#] [trading cards(5)#] [bread(6)#] [ice cream(10)#] [3#] [5b#] [Oakley's exercise(3a)#] [4#] [6c#] [farmer's market(4)#] [Neverclear (4c)#] [Emergency Kittens(5bc)#] [Billy Corgi(5ad)#] [3#] [4#] [strawberries(3)#] [2c#] [5#] [Emerald Beach(7b)#] [Dreamland(3c)#] [Dahlia's experiment(4ab)#] [3#] [4#] [Mass Spring(5a)#] [2#] [Math tas tique(1bc)#] [3cde#] [Apples(5a)#] [Kalamazoo(6c)#] [3f#] [Pam the Plumber(1abd)#] [fuel economy(3)#] [tides(5a)#]
guessing possible type of function [6#] [5#] [3#] [Mealworm(7)#] [2#] [10#] [2#] [7#] [1#] [Neverclear (4)#] [Billy Corgi(5b)#] [7#] [6#] [#Math105Fun(1c)#] [3e#] [2c#]
exponential functions [floss(6)#] [2#] [3#] [3#] [coffee(11)#] [goober(3)#] [snails(8)#] [12#] [package(5)#] [cell growth(9)#] [deposit(10)#] [velociraptor(11)#] [3#] [7#] [3#] [fish(7)#] [7#] [2#] [3#] [2#] [cockroaches(5)#] [10#] [notebooks(10b)#] [11b#] [2a#] [2#] [2d#] [dog hotel(2)#] [2#]
limits [1#] [1#] [4#] [6#] [3#] [5#] [2#] [7#] [8#] [5#] [2#] [10#] [5c#] [bread(9b)#] [7a#] [3cd#] [6c#] [11c#] [3#] [4b#] [2abcd#] [1#] [6#] [1d#] [power outage(3b)#] [snakes(5ad)#] [9#]
functions [3#] [5#] [7#] [cleaning solutions(10)#] [timely time(12)#] [12#] [7#] [6#] [chocolate(12)#] [1#] [2#] [1#] [4#] [3#] [5#] [hemlock(8)#] [animal food(5)#] [pizza(8)#] [9#] [chickenville(7)#] [10#] [7#] [insect(8)#] [10#] [12#] [fuel economy(3b)#]
true-false [1#] [11#] [1#] [9#] [1#]
match expressions [1#] [4a#]
general transformations [1#] [4#] [9#] [2#] [2#] [fire alarm(4)#] [8#] [7#] [5#] [7b#] [7#] [4b#]
periodic functions [1#] [5#] [Forks(4)#] [1#] [big ben(4)#] [daylight(6)#] [exercise bike(8)#] [1#] [severus snake(4)#] [comet(3)#] [9#] [8#] [1#] [pendulum(7)#] [small moon(2)#] [6#] [tide(10)#] [Fritz(9)#] [2#] [6#] [spring(9)#] [comets(4)#] [5#] [3#] [Anchorage(6)#] [4#] [ECG(9)#] [2abc#] [10#] [wrapping paper(3a)#] [10b#] [9#] [2#] [7#] [pendulum(10)#] [11d#] [buoy(4)#] [2#] [Smashing Squash(2)#] [1#] [1#] [2b#] [Amira's yo yo(6)#]
logarithms [1#] [2#] [ozone(4)#] [pitch(7)#] [floss(6)#] [2#] [3#] [groundhogs(6)#] [earthquake(8)#] [3#] [9#] [7#] [medication(9)#] [NPR(10)#] [2#] [Beaver(3)#] [6#] [earthworms(7)#] [mice(9)#] [Llama(10)#] [goober(3)#] [2#] [spanish(5)#] [fruit flies(6)#] [video(7)#] [package(5)#] [10#] [bowl of soup(3)#] [Richter(8)#] [9#] [flu(4)#] [deposit(10)#] [ammonia(7)#] [8#] [antivirus(9)#] [2#] [3#] [2#] [shrimp(3)#] [M scale(4)#] [7#] [10#] [2#] [corn and apples(3)#] [Lexicor(4)#] [deposit(8)#] [fish(7)#] [1#] [sanctuary(3)#] [tin medal(5)#] [7#] [Twissell(8)#] [bees(2)#] [pH(4)#] [pizza(7)#] [lasagna(8)#] [1#] [3#] [1#] [cockroaches(2)#] [TV dinner(3)#] [1#] [1#] [time machine(4a)#] [time machine(5)#] [Isotope Z(6b)#] [11b#] [cave painting(1)#] [3#] [earthquakes(4)#] [gas mileage(6)#] [3c#] [cryptozoology(4d)#] [6a#] [asteroid(8)#] [5#] [7#] [1b#] [Billy Corgi(5c)#] [2#] [bacteria colonies(3c)#] [power outage(3ac)#] [7#] [dog years(3)#] [1#] [3df#]
trigonometric functions and angles [wheel(8)#] [Forks(4)#] [pie(10)#] [9#] [3#] [6#] [5#] [8#] [exercise bike(8)#] [5#] [severus snake(4)#] [6#] [wolfgang(11)#] [4#] [6#] [10#] [tracks(6)#] [spaceship(8)#] [9#] [wall(3)#] [4#] [fire alarm(4)#] [7#] [track(8)#] [track(9)#] [6#] [10#] [2#] [jimmy(5)#] [spider(7)#] [2#] [building(8)#] [spring(9)#] [1#] [drone(2)#] [star(6)#] [resistor(6)#] [9#] [zipline(5)#] [merry go round(6)#] [3#] [track(6)#] [log bridge(8)#] [10#] [1#] [cave rescue(3)#] [sailboat(7)#] [8#] [11#] [voltage(6)#] [7cd#] [5ace#] [6#] [Gigantosaurus(5)#] [semicircle(11a)#] [1#] [5#] [pendulum(10)#] [island(9)#] [11b#] [5#] [Michigan's Tallest Building(6)#] [7#] [5#] [duck(6)#] [4#] [pi'd Eye Blind(6)#] [2#] [water wheels(6)#] [2e#] [Dreamland(3a)#] [Dahlia's experiment(4)#] [Jack and Mo(5)#] [dog house(5)#] [7#] [doggie ferris wheel(8)#] [6#] [tides(5)#] [Amira's yo yo(6)#] [yo yo(7)#]
fit a sinusoidal function [Forks(4)#] [whirlydoodle(7)#] [big ben(4)#] [daylight(6)#] [3#] [severus snake(4)#] [8#] [spaceship(8)#] [fire alarm(4)#] [Fritz(9)#] [resistor(6)#] [Anchorage(6)#] [cave rescue(3)#] [desert island(2)#] [7a#] [semicircle(11b)#] [island(9a)#] [7b#] [duck(6c)#] [pi'd Eye Blind(6b)#] [water wheels(6c)#] [Dreamland(3b)#]
even/odd [2#] [9#] [12c#] [4#]
rational functions [3#] [5#] [7#] [snails(8)#] [4#] [flu(4)#] [6#] [5#] [2#] [4#] [4#] [4#] [12#] [4#] [3#] [11a#] [2c#] [6#] [8b#] [9#]
power functions and polynomials [5#] [8#] [werewolves(9)#] [8#] [9#] [7#] [9#] [5#] [snails(8)#] [acorns(10)#] [12#] [4#] [cell growth(9)#] [3#] [velociraptor(11)#] [6#] [8#] [6#] [7#] [8#] [1#] [3#] [1#] [10#] [2#] [4#] [2#] [4#] [cockroaches(5)#] [10#] [notebooks(10c)#] [2b#] [8#] [9#] [4#] [6#] [2ab#]
combinations of functions (inverses, compositions etc) [10#] [goober(3)#] [1#] [2#] [10#] [3#] [flu(4)#] [5#] [2#] [5#] [6#] [2#] [6#] [2#] [3#] [11#] [3#] [6#] [8#] [9#] [time travel(6ab)#] [1#] [dress shop(3)#] [bread(6)#] [8#] [2#] [3#] [5bc#] [2#] [Oakley's exercise(3)#] [4#] [5c#] [2#] [farmer's market(4b)#] [Emergency Kittens(5c)#] [1a#] [Billy Corgi(5)#] [1b#] [2#] [3#] [4d#] [1a#] [strawberries(3)#] [4#] [7#] [1c#] [Spot(4a)#] [1#] [Dreamland(3)#] [1b#] [4cd#] [1bc#] [2a#] [Math tas tique(1)#] [3#] [1a#] [Schinella's walk(4c)#] [fuel economy(3d)#]

All Exam 3's, with their medians:

Fall, 2011 Exam Solutions 68 Winter, 2014 Exam Solutions 71
Winter, 2012 Exam Solutions 71 Fall, 2014 Exam Solutions 69
Fall, 2012 Exam Solutions 60 Winter, 2015 Exam Solutions 70
Fall, 2013 Exam Solutions 67 Fall, 2015 Exam Solutions 73
  Winter, 2016 Exam Solutions 70.5
  Fall, 2016 Exam Solutions 60
  Winter, 2017 Exam Solutions 66
  Fall, 2017 Exam Solutions 60
  Winter, 2018 Exam Solutions 66
  Fall, 2018 Exam Solutions 68
  Fall, 2019 Exam Solutions NONE
  Fall, 2022 Exam Solutions NONE
  Winter, 2023 Exam Solutions NONE
  Fall, 2023 Exam Solutions NONE

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