2021-2022

1 REMIXT itle Spons s Raytheon Technologies Department of Defense STEM Lead Spons Northrop Grumman Foundation National Spons s National Society of Professional Engineers 3 Mgives Texas Instruments Incorporated Art of Problem Solving NextThought Founding Spons s National Society of Professional Engineers National Council of Teachers of Mathematics CNA InsuranceTitle Spons s Raytheon Technologies Department of Defense STEM Lead Spons Northrop Grumman Foundation National Spons s National Society of Professional Engineers 3 Mgives Texas Instruments Incorporated Art of Problem Solving NextThought Founding Spons s National Society of Professional Engineers National Council of Teachers of Mathematics CNA InsuranceTHIS year S PROBLEMS SORTED BY TOPIC ON p.

2 7!THIS year S PROBLEMS SORTED BY TOPIC ON p . 7!2021-20222021-2022 SCHOOL HANDBOOKSCHOOL HANDBOOK2021-2022 School Handbook RemixTitle Sponsors:Raytheon Department of Defense STEMLead Sponsor:Northrop Grumman FoundationNational Sponsors:National Society of Professional Engineers3 MgivesTexas Instruments IncorporatedArt of Problem SolvingExecutive Sponsors:Bentley Systems IncorporatedGeneral MotorsSustaining Sponsors:BAE Systems, Council of Examiners for Engineering and Surveying CNA InsuranceGoogleThe PwC Charitable Foundation, FoundationFounding Sponsors: National Society of Professional EngineersNational Council of Teachers of MathematicsCNA InsuranceThe National Association of Secondary School Principals has placed all three MATHCOUNTS programs on the NASSP Advisory List of National Contests and Activities for has recognized MATHCOUNTS as having one of the nation s most effective STEM learning programs, listing the Math Video Challenge as an Accomplished Program in 2021-20221 Copyright MATHCOUNTS, Inc.

3 2021. All rights reserved. TABLE OF CONTENTSWe re excited you re participating in a MATHCOUNTS program this year ! We hope this experience will be a meaningful and enriching one for you and your Mathletes! If you have any questions during the year , please contact the MATHCOUNTS national office at MATERIALS + TOOLS FOR MATHLETES!2021 2022 Program CRITICAL DATESThis year s Handbook Problems .. 7250 MATH PROBLEMS TO BOOST PROBLEM-SOLVING SKILLSC ompetition Coach Toolkit .. 29 INCLUDING VOCABULARY + FORMS OF ANSWERSP roblem Index + CCSS 33 ALL 250 PROBLEMS CATEGORIZED + MAPPED TO THE CCSSA nswers to Handbook Problems .. 35 AVAILABLE TO THE GENERAL PUBLIC - INCLUDING STUDENTSStep-by-step solutions to these problems are available to registered Competition Series Coaches online or in the print version of the School Handbook available for purchase at Video ChallengeADVISORS!

4 FIND THE 2021-2022 SCHOOL HANDBOOK SeriesCOACHES!FIND THE 2021-2022 SCHOOL HANDBOOK WITH SOLUTIONS 2021-20222 Copyright MATHCOUNTS, Inc. 2021. All rights reserved. HIGHLIGHTED RESOURCESFor Competition Coaches & Students12-Month OPLET SubscriptionOnline database of over 13,000 problems and over 5,000 step-by-step solutions. Create personalized quizzes, flash cards, worksheets and more!Save $25 when you buy your subscription by Oct. 15, 2021 Renewers: use code PHOENIX21 First-Time Subscribers: use code Challenging MATHCOUNTS Problems Solved, Vol. 1 & Vol. 2 Each volume has over 300 national-level Sprint and Target Round problems, plus detailed step-by-step solutions. A fantastic advanced-level practice resource!

5 CompetitionsLast year s school, chapter and state MATHCOUNTS competitions are free online! Other years and levels of competitions can be Competitions for MATHCOUNTS, Vol. I & Vol. IIEach volume has 4 com-plete mock competitions and solutions written by repeat national-levelcoach Josh GreatestMATHCOUNTS ProblemsA collection of someof the most creativeand Trainer, by Art of Problem Solving Train your Mathletes with thisCountdown Round-style gamefeaturing realtime leaderboardsand lots of past MATHCOUNTS problems. Play online orget the iOS app! MORE AT free resource!$$Copyright MATHCOUNTS, Inc. 2021. All rights DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO section of the competition consists of 30 problems.

6 You will have 40 minutes to complete all the problems. You are not allowed to use calculators, books or other aids during this round. Calculations may be done on scratch paper. All answers must be complete, legible and simplified to lowest terms. Record only final answers in the blanks in the left-hand column of the competition booklet. If you complete the problems before time is called, use the remaining time to check your answers. In each written round of the competition, the required unit for the answer is included in the answer blank. The plural form of the unit is always used, even if the answer appears to require the singular form of the unit. The unit provided in the answer blank is the only form of the answer that will be SponSorS.

7 National Society of Professional Engineers, National Council of Teachers of Mathematics and CNA Insurance2021 chapter InvItatIonal CompetIt IonSprint Round Problems 1 30 TiTle SponSorSRaytheon Department of Defense STEMnaTional SponSorSNorthrop Grumman FoundationNational Society of Professional Engineers3 MgivesTexas Instruments IncorporatedArt of Problem SolvingNextThought1234567890&20202021202 0 chapter & State | Sprint, Target, Team & Countdown Rounds2021 chapter Invitational & State | Sprint & Target Rounds2021 National | Sprint, Target & Team RoundsCompetitionsFounding Sponsors: National Society of Professional Engineers, National Council of Teachers of Mathematics and CNA Insurancetitle sponsorsRaytheon Department of Defense STEM lead sponsorNorthrop Grumman Foundationnational sponsorsNational Society of Professional Engineers3 MgivesTexas Instruments IncorporatedArt of Problem SolvingNextThought$MATHCOUNTS 2021-20223 Copyright MATHCOUNTS, Inc.

8 2021. All rights reserved. For Math Video Challenge Advisors & StudentsCopyrighted MaterialsGuidelinesLearn how to use video clips, music, images and sound effects while following the contest HelpGuidelines Distinguish between appropriate advising and inappropriateoutside Guidelines Requirements andrecommendations for filming and GuidelinesLearn more about what judgesare looking for as theyevaluate a VideoSpotlight & GuidelinesTips, recommended programsand examples for creatingan animated SpotlightCollection of videos that received high marks from judges in at least 1 example includes a detailed explanationof what the judges AT EveryoneMATHCOUNTS School Handbook RemixAll 250 problems.

9 Answers & solutions in the Handbook organized by math fun monthly video series featuring Richard Rusczyk from AoPS. Each video walks through problem-solving strategies for a math skill common in MATHCOUNTS the WeekA new, multi-step problem every Monday! Each problem coincides with a timely event, holiday or season. Step-by-step solutions for each problem are shared the following $$$$$$$$$Coming Soon!We ve teamed up with Brilliant to provide coaches and clubleaders free access to interactive lessons and tools throughBrilliant for Educators. Stay tuned for more information!MATHCOUNTS 2021-20224 Copyright MATHCOUNTS, Inc. 2021. All rights reserved. 2021-2022 PROGRAM INFOAn exciting math contest for students in grades 6-8.

10 Students practice with coaches in the fall and then participate in 4 competition levels: School: run by coaches (like you!) chapter & State: run by 600+ amazing volunteer coordinators National: run by the national office Wondering where to start? GUIDE FOR NEW free, fun math and technology contest forstudents in grades 6-8. Students work in teamsof 4 to create a video that explains the solutionto a MATHCOUNTS handbook problemin a real-world where to start? GUIDE FOR NEW TEAM TEAM the National Math Club, a free program for students in grades 6-8 to explore math with fun, collaborative even more resources! Dates*2021 Aug. 16- Dec. 31 Registration and kitfulfillment open for all 3 MATHCOUNTS programs The fastest way to register for any MATHCOUNTS program is at Series coaches and NSCs receive a School Competition Kit, which includes a hard copy of this Handbook.