<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <title>Space Math @ NASA</title> <link rel="stylesheet" type="text/css" href="css/reset.css" media="projection, screen" /> <link rel="stylesheet" type="text/css" href="css/base.css" media="projection, screen"/> <link rel="stylesheet" type="text/css" href="css/dropdown.css" media="projection, screen"/> <link rel="stylesheet" type="text/css" href="css/BlueTheme.css" media="projection, screen"/> <script src="js/jquery-1.4.2.min.js" type="text/javascript" ></script> <!--[if IE 6]> <link rel="stylesheet" type="text/css" href="css/ie6.css" media="projection, screen"/> <script src="js/DD_belatedPNG_0.0.8a-min.js" type="text/javascript" ></script> <script> DD_belatedPNG.fix('div#bannerImg, li.tab1-on, li.tab1-off, li.tab-on, li.tab-off, #footer-signature, img'); </script> <![endif]--> </head> <body> <div id="page-wrapper"> <div id="page"> <div id="nasaHeader"> <div> <a href="http://www.nasa.gov" class="imageLink"><img src="images/nasa_header_logo1.gif" alt="NASA Logo, National Aeronautics and Space Administration" width="140" height="98" /></a> </div><!--class="nasaLogo"--> <div id="headerTxtWrapper"> <h1><a href="http://www.nasa.gov">National Aeronautics and Space Administration</a></h1> <h2><a href="http://www.nasa.gov/goddard/">Goddard Space Flight Center</a></h2> </div><!--headerTxtWrapper--> <div id="searchbox"> <h3>Search:</h3> <form action="searchresult.html" method="post" id="search" name="search"> <input type="text" name="srchField" id="srchField" value="" title="srchField" size="10" class="flt_left"> <input width="49" height="22" type="image" alt="Search" src="images/search_go.jpg" onclick="this.form.submit();" class="flt_left"> <input type="hidden" value="search.quick" id="fuseaction" name="fuseaction"> </form> <div class="divClear"></div> <p> <a href="http://fpd.gsfc.nasa.gov/">Flight Projects</a> <span class="listdevider">| </span> <a href="/600/sci/">Sciences and Exploration</a> </p> </div> </div><!--id = nasaHeader --> <div class="hidden"> <a href="#skipping" title="Skip Navigation" accesskey="2">Skip Navigation (press 2)</a> </div> <div id="banner"> <!-----------------------> <!--TOP MENU GOES HERE --> <!-----------------------> <div id="tabs"> <ul id="menu"> <li id="tab0" class="tab-on active"><a href="media.html" >STEM Modules</a></li> <li id="tab1" class="tab-on active"><a href="ILabs.html" >Interactive Spreadsheets</a></li> <li id="tab2" class="tab-on active"><a href="books.html" >Problem Books</a></li> <li id="tab3" class="tab-on active"><a href="SpaceMath.html" >Home</a></li> </ul> </div><!--TABS SECTION END HERE--> <!--BANNER IMAGE GOES HERE--> <div id="bannerImg"> <a href="#"><img src="images/nasa-bnr-empty.png" alt="Space Math at NASA" width="900"></a> </div><!--id=bannerImg--> </div><!--id=banner--> <div class="divClear"></div> <div id="topMenu"> <ul id="menu"> <li id="tab6" class="active"><a href="news.html" >Math in Press Releases</a></li> <li id="tab7" class="active"><a href="mission.html">Math by NASA Mission</a></li> <li id="tab4" class="active"><a href="grade.html">Math by Grade Level</a></li> <li id="tab5" class="active"><a href="space.html">Math by Space Topic</a></li> <li id="tab8" class="active"><a href="Standards.html">NGSS and CCSS-M</a></li> </ul> </div><!--id="topMenu"--> <!-----------------------> <!-----Top menu block ends here ---------> <!---------------------------------------> <div id="content"> <a name="skipping" id="skipping"></a> <div id="content-wrapper"> <div class="maincontent" id="TwoColumn"> <img src="images/book5sm.jpg"height=200 width=150><b>Problems 149 to 234......11.1 Mby PDF</b>... <a href="http://www.nasa.gov/audience/foreducators/topnav/materials/listbytype/Space_Math_V.html">[Download Here]</a> <p> <p> <h2>Index of Problem Titles by Approximate Grade Band</h2> <div class="full-width-content-item"> <FONT face="Ariel" color=black size=4> <p> <b>Grade 3-5</b> <p>Cosmic Bar Graphs [3-5] 2 <p>Time Zone Math [3-5] 3 <p>The Dollars and Cents of Research 4-6 4 <p>Number Sentence Puzzles 3-4 5 <p>Fractions in Space 3-5 6 <p>Time Intervals 3-5 9 <p>The Stellar Magnitude Scale 3-6 10 <p>Groups, Clusters and Individuals 3-5 11 <p>A Matter of Timing 3-6 12 <p>Areas and Probabilities 4-6 13 <p>Solar Storms; Sequences and Probabilities - I 4-7 14 <p>Solar Storms; Sequences and Probabilities - II 4-7 15 <p>Lunar Cratering - Probability and Odds 4-7 18 <p>Is there a lunar meteorite hazard? 5-7 22 <p>The Earth and Moon to Scale 4-6 23 <p>Planet Fractions and Scales 4-6 24 <p>The Relative Sizes of the Sun and Stars 4-6 25 <p> Galaxies to Scale 4-6 27 <p> Spectral Classification of Stars 5-8 43 <p> Pan's Highway - Saturn's Rings 4-6 48 <p> Star Cluster Math 3-5 53 <p> Star Magnitudes and Multiplying Decimals 5-8 69 <p> Galaxy Distances and Mixed Fractions 3-5 70 <p> Atomic Numbers and Multiplying Fractions 3-5 71 <p> Nuclear Arithmetic 4-6 72 <p> Perimeters - Which constellation is the longest? 3-5 76 <p> Kelvin Temperatures and Very Cold Things 5-8 78 <p> Atomic Fractions 3-6 84 <p> More Atomic Fractions 3-6 85 <p> Atomic Fractions - III 3-6 86 <p><b>Grade 6-8</b> <p>The Big Bang - Hubble's Law [6-8] 1 <p>The Dollars and Cents of Research 4-6 4 <p>Equations with One Variable - I 6-8 7 <p>Equations with One Variable - II 6-8 8 <p>The Stellar Magnitude Scale 3-6 10 <p>A Matter of Timing 3-6 12 <p>Areas and Probabilities 4-6 13 <p>Solar Storms; Sequences and Probabilities - I 4-7 14 <p>Solar Storms; Sequences and Probabilities - II 4-7 15 <p>Solar Storm Timeline 6-8 16 <p>Solar Storm Energy and Pie Graphs 6-8 17 <p>Lunar Cratering - Probability and Odds 4-7 18 <p>Is there a lunar meteorite hazard? 5-7 22 <p>The Earth and Moon to Scale 4-6 23 <p>Planet Fractions and Scales 4-6 24 <p>The Relative Sizes of the Sun and Stars 4-6 25 <p> Fly Me to the Moon! 6-8 26 <p> Galaxies to Scale 4-6 27 <p> The Solar Neighborhood Within 17 light years 6-8 29 <p> Our Neighborhood in the Milky Way 6-8 30 <p> The International Space Station - Follow that Graph! 6-8 35 <p> Light Travel Times 6-8 41 <p> Spectral Classification of Stars 5-8 43 <p> Pan's Highway - Saturn's Rings 4-6 48 <p> Tidal Forces - Let 'er Rip 7-10 49 <p> Are U Really Nuts? 6-8 50 <p> Measuring Star Temperatures 6-8 55 <p> THEMIS: A magnetic case of what came first. 6-8 56 <p> Unit Conversions - III 6-10 57 <p> Can you hear me now? 6-8 58 <p> The STEREO Mission: Getting the message across 6-8 59 <p> Angular Size and Velocity 8-10 61 <p> Hubble Sees and Distant Planet 6-10 62 <p> How to make faint things stand out in a bright world 6-8 63 <p> The Milky Way - A mere cloud in the cosmos 8-10 65 <p> Where did all the stars go? 6-8 66 <p> Star Circles 8-9 67 <p> Star Magnitudes and Multiplying Decimals 5-8 69 <p> Nuclear Arithmetic 4-6 72 <p> Working with Rates 6-8 73 <p> Rates and Slopes: An Astronomical Perspective 7-9 74 <p> Areas Under Curves: An Astronomical Perspective 6-8 75 <p> Kelvin Temperatures and Very Cold Things 5-8 78 <p> Pulsars and Simple Equations 6-8 79 <p> The Many Faces of Energy 8-10 80 <p> Variables and Expressions from Around the Cosmos 6-8 81 <p> Craters are a Blast! 8-10 82 <p> Fractions and Chemistry 3-6 83 <p> Atomic Fractions 3-6 84 <p> More Atomic Fractions 3-6 85 <p> Atomic Fractions - III 3-6 86 <p> Kepler - The hunt for Earth-like planets 6-8 87 <p> <b>Grade 9-12</b> <p>The Mass of the Moon 8-11 19 <p>The Moon's Density - What's inside? 9-12 20 <p>The Hot Lunar Interior 10-12 21 <p> Extracting Oxygen from Moon Rocks 9-11 28 <p> Calculating Arc Lengths of Simple Functions - I 12 31 <p> The Ant and the Turntable - Frames of reference 11-12 32 <p> The Dawn Mission - Ion Rockets and Spiral Orbits 12 33 <p> Modeling a Planetary Nebula 12 34 <p> Why are hot things red? 11-12 36 <p> Collapsing Gas Clouds - Stability 11-12 37 <p> The Big Bang - Cosmic Expansion 12 38 <p> Space Math Differentiation 12 39 <p> Space Shuttle Launch Trajectory 12 40 <p> Cross Sections and Collision Times 9-11 42 <p> Stellar Temperature, Size and Power 10-12 44 <p> Fuel Level in a Spherical Tank 12 45 <p> The Mass of the Van Allen Radiation Belts 11-12 46 <p> The Io Plasma Torus 12 47 <p> Tidal Forces - Let 'er Rip 7-10 49 <p> Fitting Periodic Functions - Distant Planets 9-12 51 <p> The Limiting Behavior of Selected Functions 11-12 52 <p> Magnetic Forces in Three Dimensions 9-12 54 <p> Unit Conversions - III 6-10 57 <p> Optimization 12 60 <p> Angular Size and Velocity 8-10 61 <p> Hubble Sees and Distant Planet 6-10 62 <p> The Mathematics of Ion Rocket Engines 9-12 64 <p> The Milky Way - A mere cloud in the cosmos 8-10 65 <p> Star Circles 8-9 67 <p> Finding Mass in the Cosmos 9-12 68 <p> Rates and Slopes: An Astronomical Perspective 7-9 74 <p> Volcanoes are a Blast - Working with simple equations 9-11 77 <p> The Many Faces of Energy 8-10 80 <p> Craters are a Blast! 8-10 82 </font> </div><!--class="full-width-content-item">--> <div class="divClear"></div> </div><!--id = maincontent--> <!-- MAIN CONTENT ENDS HERE --> <!--RIGHT SIDEBAR BEGINS HERE--> <div id="rightsidebar"> <div class="full-width-content-item"> </div><!--class="full-width-content-item"--> <div class="divClear"></div> <h2>Additional Compilations</h2> <p><b>Problems from previous years can be found at the links below.</p> <ul class="sub"> <li><a href="Year1.html">I - Problems 1 to 38</a></li> <li><a href="Year2.html">II - Problems 39 to 64</a></li> <li><a href="Year3.html">III - Problems 65 to 101</a></li> <li><a href="Year4.html">IV - Problems 102 to 148</a></li> <li><a href="Year5.html">V - Problems 149 to 233</a></li> <li><a href="Year6.html">VI - Problems 234 to 342</a></li> <li><a href="Year7.html">VII - Problems 343 to 428</a></li> <li><a href="Year8.html">VIII - Problems 429 - 478</a></li> <li><a href="Year9.html">IX - Problems 479 to 536</a></li> <li><a href="Year10.html">X - Problems 537 to Present</a></li> </ul> </div><!--full-width-content-item--> <!-- RIGHT SIDEBAR ENDS HERE --> </div><!--id="content-wrapper"--> </div><!--id="content"--> <div class="divClear"></div> <div id="footer"> <div> <a href="http://www.nasa.gov" class="imageLink"><img src="images/nasa_header_logo1.gif" alt="NASA Logo, National Aeronautics and Space Administration" width="140" height="98" /></a> </div><!--class="nasaLogo"--> <div id="footer-signature"> <a href="http://www.nasa.gov/goddard/" class="imageLink"><img src="images/goddardsignature2.png" height="68" /></a> </div><!--id="footer-signature--> <div class="nasafootlinks"> <ul> <li>Author: <a href="mailto:Sten.F.Odenwald@nasa.gov">Dr. Sten Odenwald</a></li> <li>NASA Official : <a href="mailto:Michelle.Thaller@nasa.gov">Dr. Michelle Thaller</a></li> </ul> </div><!--nasafootlinks--> <div class="nasafootlinks" id="footerRight"> <ul> <li> <a target="_blank" href="http://www.nasa.gov/about/highlights/HP_Privacy.html">Privacy Policy &amp; Important Notices</a> </li> <li> <a href="">Contact Us</a> </li> </ul> </div><!--nasafootlinks--> </div><!--id=footer--> </div><!--id="page"--> </div><!--id = page-wrapper--> </body> </html>