Problems to study for Math 116 Exam 1

Here is a breakdown of Math 116 Exam 1 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
TF/Multiple choice [1#] [5#] [7a#] [4#] [2#] [7#] [9#] [9#] [9#] [5#] [5#] [1#] [1#] [1#] [1#] [1#] [1#] [3#] [8#] [7#] [8#] [4#] [8#] [3#] [10#] [6#] [10#] [3a#] [11#] [3#] [8#]
Integral Estimation [tree(9)#] [Aberister(7c)#] [Scottish chests(4)#] [exam rate(5a)#] [air resistance(8c)#] [spider(3b)#] [pond(4b)#] [8#] [bucket(4)#] [containers(1b)#] [3a#] [4#] [5a#] [4#] [surveyor(7)#] [4#] [5d#] [3#] [drug(4)#] [tank(3f)#] [5bc#] [light bulb(1)#] [shawarma kafta(4b)#] [catapult(1)#] [4#] [solar panel(5)#] [polar vortex(4c)#]
Fundamental Theorems [1d#] [2#] [Si(1)#] [5e#] [7#] [traffic(10)#] [2#] [5#] [7#] [particle(8)#] [1#] [aphids(8)#] [horcrux(2)#] [4#] [1ab#] [cookies(3a)#] [5#] [7abd#] [instruction speed(8a)#] [exam rate(5ab)#] [7a#] [air resistance(8a)#] [2#] [containers(1)#] [2a#] [4#] [5bd#] [8a#] [9#] [primes(1)#] [5abe#] [7#] [2#] [BTB(5)#] [2#] [3#] [paint truck(7)#] [photo sharing(2)#] [3#] [8#] [2#] [island(3b)#] [4#] [5a#] [2#] [tank(3)#] [3cd#] [5#] [tortoise+hare(8)#] [Big House(2)#] [5#] [caffeine(7b)#] [8c#] [4#] [5c#] [6#] [1#] [2#] [3d#] [8b#] [bucket(1)#] [rollerblading(6)#] [2#] [4#] [boxers1(7bc)#] [2#] [3#] [diver(4)#] [5#] [8bc#] [sparrows(2)#] [4a#] [6a#] [plankton(2)#] [4c#] [counting money(5a)#] [7ab#] [8c#] [solar panel(5bc)#] [8#] [owl and dove(2)#] [4#] [6ac#] [2#] [4c#] [7a#] [2#] [3b#] [polar vortex(4b)#] [2#] [toxins1(4)#] [toxins2(5)#] [7b#] [3#] [heart rate(5)#] [rocket(7a)#] [11a#] [11c#] [stork(2)#] [3b#] [mahogany(8a)#] [juice(4)#] [6#] [9b#] [2#] [race(3bc)#] [2#] [6a#] [Poseidon(8)#] [2#] [3ac#] [chipsets(1)#] [2a#] [4#] [5a#] [sapphire(7a)#] [2#] [lasagna(3)#] [1a#] [2#] [Helga(3ac)#] [rain(4b)#]
Average value [Aberister(7)#] [horcrux(2b)#] [7c#] [1b#] [6#] [5c#] [2c#] [AC current(7)#] [tortoise+hare(8e)#] [caffeine(7a)#] [4b#] [3c#] [bucket(1c)#] [1c#] [boxers1(7a)#] [4a#] [6d#] [8a#] [4a#] [7b#] [polar vortex(4a)#] [toxins1(4d)#] [1c#] [3#] [stork(2c)#] [8a#] [1d#] [6b#] [1b#] [rain(4c)#]
Give meaning of an integral [tree(9b)#] [child height(3)#] [chemical spill(3a)#] [particle(8a)#] [containers(1a)#] [rain(4a)#]
Odd/Even integrals [1#] [2#] [3a#] [8#] [1#] [1#] [2#] [8#] [8b#] [3#] [6b#] [mahogany(8b)#] [1#] [1a#]
Substitution [4#] [2b#] [1ab#] [6#] [5bc#] [1c#] [2b#] [1a#] [air resistance(8b)#] [1a#] [2c#] [pond(4c)#] [containers(1d)#] [3b#] [8#] [4b#] [3b#] [AC current(7)#] [8#] [5b#] [3df#] [1b#] [5e#] [1e#] [3a#] [3#] [7#] [1a#] [5#] [1#] [6a#] [7#] [1#] [1bc#] [1abd#] [1#] [1b#] [1ac#] [7a#] [1b#] [1d#] [rocket(7b)#] [8b#] [1ac#] [1acd#] [1acd#] [1ad#] [2cd#] [1ac#] [1bd#]
Parts [7#] [2a#] [1c#] [5#] [5a#] [1b#] [1d#] [2a#] [4#] [1b#] [2b#] [3a#] [4#] [primes(1c)#] [9#] [4a#] [3c#] [AC current(7)#] [8#] [5c#] [3e#] [8b#] [5d#] [1d#] [3#] [7#] [1b#] [5#] [1#] [1#] [1c#] [1#] [1a#] [1b#] [8a#] [1b#] [8b#] [1bc#] [race(3a)#] [1bd#] [1c#] [8#] [2b#] [1b#] [1d#]
Partial fractions [1c#] [containers(1d)#] [population(2ab)#] [3b#] [1d#] [1c#] [8c#] [7c#] [7#] [6#] [3#] [8#] [3a#] [mushrooms(4)#] [5#]
Riemann Sums [3#] [5#] [chemical spill(3bcd)#] [3#] [3#] [cookies(3bcd)#] [6#] [ice cream(2)#] [3#] [drug(4)#] [photo sharing(2)#] [garden(6)#] [island(3a)#] [tank(3f)#] [5bc#] [2#] [light bulb(1)#] [Big House(2d)#] [shawarma kafta(4b)#] [1a#] [2#] [board game(7c)#] [8c#] [4#] [1d#] [5#] [catapult(1)#] [4#] [counting money(5bcd)#] [7cd#] [1a#] [catenary(2d)#] [8#] [10ac#] [4b#] [tennis balls(9)#] [5#] [carrot(7c)#] [9#] [park(8)#] [9bc#] [11b#] [7ab#] [2ab#] [9a#] [7#] [5ab#] [3d#] [9b#] [3bc#] [cards(5)#] [9#] [8#]
Area/Volume Integrals [table leg(3)#] [geyser(11)#] [sandpile(9)#] [snowman(3)#] [tank(10)#] [6#] [7#] [6a#] [Circle City(8)#] [9e#] [plate(6)#] [sculpture(7)#] [bell(1)#] [11c#] [pyramid(3)#] [pond(4)#] [earth(4)#] [submarine(2a)#] [5#] [metal sheet(8ab)#] [sculpture(6)#] [ice cream(2)#] [10#] [4#] [cubic submarine(6b)#] [metal plate(8ab)#] [6#] [wine glass(7)#] [4#] [7#] [4b#] [elliptical(7a)#] [7#] [9a#] [light bulb(1)#] [9#] [10#] [table leg(11)#] [doorknob(9)#] [board game(7)#] [8d#] [chickens vs. robots(7c)#] [dog bowl(2a)#] [money pool(5)#] [8b#] [3bc#] [thumbtack doorknob(10)#] [jewelry(7)#] [8d#] [Hanoi Tower(11)#] [6b#] [weather balloon(3)#] [Rodin Coil(6)#] [disc tower(2a)#] [catenary(2b)#] [rattleback(6)#] [2#] [pyramid(7)#] [10b#] [juice(10b)#] [tent(3)#] [6ab#] [3c#] [smoothies(6)#] [8b#] [cave(3a)#] [ring(9)#] [party horn(8a)#] [trapezoid(4)#] [5#] [containers(3)#] [4ab#] [beanstalk(1b)#] [4a#] [5c#] [2#] [5#] [submarine(6a)#] [2b#] [5b#] [doughnut(6ab)#] [6#] [vuvuzela(8)#] [cheese(6)#]
Arc Length (Cartesian Coords) [spider(3a)#] [spaceship(3)#] [ramp(5)#] [garden(6e)#] [4a#] [dog bowl(2b)#] [3a#] [8a#] [6c#] [4b#] [catenary(2c)#] [8d#] [7c#] [8a#] [park(8b)#] [4c#] [4b#] [9a#] [doughnut(6c)#] [Helga(3b)#]
Volume Integral with Density [stalagmite(9)#] [pyramid(6)#] [bucket(4ab)#] [sculpture(6)#] [sewage tank(2)#] [sand dune(8)#] [bowling pin(5)#] [garden(6)#] [plate(10)#] [tank(6)#] [lagoon(9)#] [4c#] [5a#] [elliptical(7b)#] [8#] [property values(4)#] [9b#] [cone(7a)#] [shawarma kafta(4)#] [olive oil(9a)#] [hemisphere(3)#] [doorknob(9)#] [knife(5)#] [plate(6a)#] [caffeine IV(1b)#] [carrots(6)#] [fishtank(3)#] [graphene(5)#] [rattleback(6)#] [4#] [Print.juice(3)#] [juice(10a)#] [6c#] [pond(8ab)#] [paperweight(6)#] [carrot(7)#] [8c#] [Ultron(3a)#] [cave(3b)#] [ring(9b)#] [charge(6)#] [ice cream(6a)#] [Chicago Bean(5)#] [ice cream(9a)#] [6c#] [ship(7)#] [submarine(6bc)#] [asteroid(8)#] [UBT(7)#]
Work [chain(8)#] [piston(7)#] [submarine(3a)#] [dirt(4)#] [resevoir(6)#] [rocket(1)#] [bio willie(7)#] [wine glass(7b)#] [mining hole(9)#] [tank(6)#] [tank(6)#] [swimming pool(6)#] [cone(7b)#] [triangular tank(6)#] [olive oil(9b)#] [drag queens(7)#] [hot chocolate(9)#] [punchbowl(10)#] [ditch(4)#] [money pool(5)#] [shark(8)#] [sand(7)#] [trash bag(9)#] [pyramid(12)#] [chocolate prism(9)#] [purple key(9)#] [Shamcorp(10)#] [4d#] [8a#] [nano pyramid(9)#] [rocket(9)#] [alfalfa funnel(4)#] [chain(9)#] [spring(8a)#] [sandbag(5)#] [muck tank(9)#] [video work(5)#] [pond(8c)#] [Infinity Tower(9)#] [Ultron(3b)#] [bucket(6)#] [pond(9)#] [artifact(9)#] [5a#] [cup(5)#] [water rocket(3)#] [ice cream(6b)#] [soup(8)#] [ice cream(9b)#] [isosceles tank(4)#] [triangular tank(7)#] [2a#] [flood(4b)#] [treasure(7)#] [Sisyphus(7)#] [cheese tank(8)#]

All Exam 1's, with their medians:

Winter, 2003 Exam Solutions 74 Winter, 2014 Exam Solutions 75
Fall, 2003 Exam Solutions 65 Fall, 2014 Exam Solutions 77
Winter, 2004 Exam Solutions 65 Winter, 2015 Exam Solutions 61
Fall, 2004 Exam Solutions 72 Fall, 2015 Exam Solutions 70
Fall, 2005 Exam Solutions 60 Winter, 2016 Exam Solutions 67
Fall, 2006 Exam Solutions 54 Fall, 2016 Exam Solutions 66
Fall, 2007 Exam Solutions 54 Winter, 2017 Exam Solutions 62
Fall, 2008 Exam Solutions 52 Fall, 2017 Exam Solutions 67
Winter, 2009 Exam Solutions 70 Winter, 2018 Exam Solutions 53
Fall, 2009 Exam Solutions 49 Fall, 2018 Exam Solutions 70
Winter, 2010 Exam Solutions 57 Winter, 2019 Exam Solutions 69
Fall, 2010 Exam Solutions 51 Fall, 2019 Exam Solutions 73
Winter, 2011 Exam Solutions 63 Winter, 2020 Exam Solutions 69
Fall, 2011 Exam Solutions 68 Fall, 2020 Exam Solutions 70
Winter, 2012 Exam Solutions 68 Winter, 2021 Exam Solutions 65
Fall, 2012 Exam Solutions 67 Fall, 2021 Exam Solutions 74
Winter, 2013 Exam Solutions 71 Winter, 2022 Exam Solutions 60
Fall, 2013 Exam Solutions 73 Fall, 2022 Exam Solutions 83
  Winter, 2023 Exam Solutions 67
  Fall, 2023 Exam Solutions 67
  Winter, 2024 Exam Solutions 78

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