MATHCOUNTS - Weebly2013 Chapter Competition Target Round Problems 1 and 2 MATHCOUNTS ® Copyright...
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2013 Chapter Competition Target Round Problems 1 and 2 MATHCOUNTS ® Copyright MATHCOUNTS, Inc. 2012. All rights reserved. Founding Sponsors: National Society of Professional Engineers, National Council of Teachers of Mathematics and CNA Foundation Name School DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of eight problems, which will be presented in pairs. Work on one pair of problems will be completed and answers will be collected before the next pair is distributed. The time limit for each pair of problems is six minutes. The first pair of problems is on the other side of this sheet. When told to do so, turn the page over and begin working. This round assumes the use of calculators, and calculations also may be done on scratch paper, but no other aids are allowed. 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 problem sheets. If you complete the problems before time is called, use the time remaining to check your answers. Total Correct Scorer’s Initials 02-C13TAR1 National Sponsors Raytheon Company * Northrop Grumman Foundation * U.S. Department of Defense * National Society of Professional Engineers * CNA Foundation * ConocoPhillips * Texas Instruments Incorporated * 3M Foundation * Art of Problem Solving * NextThought
Transcript of MATHCOUNTS - Weebly2013 Chapter Competition Target Round Problems 1 and 2 MATHCOUNTS ® Copyright...
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2013Chapter Competition
Target RoundProblems 1 and 2
MATHCOUNTS ®
Copyright MATHCOUNTS, Inc. 2012. All rights reserved.
Founding Sponsors: National Society of Professional Engineers, National Council of Teachers of Mathematics and CNA Foundation
Name
School
DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.This section of the competition consists of eight problems, which will be presented in pairs. Work on one pair of problems will be completed and answers will be collected before the next pair is distributed. The time limit for each pair of problems is six minutes. The first pair of problems is on the other side of this sheet. When told to do so, turn the page over and begin working. This round assumes the use of calculators, and calculations also may be done on scratch paper, but no other aids are allowed. 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 problem sheets. If you complete the problems before time is called, use the time remaining to check your answers.
Total Correct Scorer’s Initials
02-C13TAR1
National Sponsors Raytheon Company * Northrop Grumman Foundation * U.S. Department of Defense * National Society of Professional Engineers * CNA Foundation * ConocoPhillips * Texas Instruments Incorporated * 3M Foundation * Art of Problem Solving * NextThought
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Copyright MATHCOUNTS, Inc. 2012. All rights reserved. 2013 Chapter Target Round
1. ________________
2. _______________
Inthefigureshownhere,thedistancebetweenanytwohorizontallyorverticallyadjacentdotsisoneunit.Whatistheareaoftheshadedpolygon?Expressyouranswerasadecimaltothenearesttenth.
Barbaracompletelyfillshermugwithamixturethatis15mLofhotchocolateand35mLofcream.Whatpercentofthemixtureishot
chocolate?
units2
%
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2013Chapter Competition
Target RoundProblems 3 and 4
MATHCOUNTS ®
Copyright MATHCOUNTS, Inc. 2012. All rights reserved.
Founding Sponsors: National Society of Professional Engineers, National Council of Teachers of Mathematics and CNA Foundation
02-C13TAR3
Total Correct Scorer’s Initials
Name
School
DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.
National Sponsors Raytheon Company * Northrop Grumman Foundation * U.S. Department of Defense * National Society of Professional Engineers * CNA Foundation * ConocoPhillips * Texas Instruments Incorporated * 3M Foundation * Art of Problem Solving * NextThought
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Copyright MATHCOUNTS, Inc. 2012. All rights reserved. 2013 Chapter Target Round
3. _____________
4. _____________
Acertainlotteryhas20millionpossiblecombinationsintheirweeklydrawing.Ifyouwantedtopurchase20milliontickets,howmanyticketswouldyouneedtopurchaseeachsecond,onaverage,tobuythemallinoneweek?Expressyouranswertothenearestwholenumber.
Whatisthemeanofallpossiblepositivethree-digitintegersinwhichnodigitisrepeatedandalldigitsareprime?Expressyouranswerasadecimaltothenearesthundredth.
tickets
LOTTERY
LOTTERY
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2013Chapter Competition
Target RoundProblems 5 and 6
MATHCOUNTS ®
Copyright MATHCOUNTS, Inc. 2012. All rights reserved.
Founding Sponsors: National Society of Professional Engineers, National Council of Teachers of Mathematics and CNA Foundation
02-C13TAR5
Total Correct Scorer’s Initials
Name
School
DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.
National Sponsors Raytheon Company * Northrop Grumman Foundation * U.S. Department of Defense * National Society of Professional Engineers * CNA Foundation * ConocoPhillips * Texas Instruments Incorporated * 3M Foundation * Art of Problem Solving * NextThought
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Copyright MATHCOUNTS, Inc. 2012. All rights reserved. 2013 Chapter Target Round
5. _____________
6. _____________
Ray’sageishalfhissister’sage,andhisageisthesquarerootofone-thirdtheirgrandfather’sage.In5years,Raywillbetwo-thirdsasoldashissisterwillbethen.WhatistheratioofRay’ssister’sagetotheirgrandfather’sagerightnow?Expressyouranswerasacommonfraction.
Alexaddedthepagenumbersofabooktogetherandgotatotalof888.Unfortunately,hedidn’tnoticethatoneofthesheetsofthebookwasmissingwithanoddpagenumberonthefrontandanevenpagenumberontheback.Whatwasthepagenumberonthefinalpageinthebook?
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2013Chapter Competition
Target RoundProblems 7 and 8
MATHCOUNTS ®
Copyright MATHCOUNTS, Inc. 2012. All rights reserved.
Founding Sponsors: National Society of Professional Engineers, National Council of Teachers of Mathematics and CNA Foundation
02-C13TAR7
Total Correct Scorer’s Initials
Name
School
DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.
National Sponsors Raytheon Company * Northrop Grumman Foundation * U.S. Department of Defense * National Society of Professional Engineers * CNA Foundation * ConocoPhillips * Texas Instruments Incorporated * 3M Foundation * Art of Problem Solving * NextThought
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Copyright MATHCOUNTS, Inc. 2012. All rights reserved. 2013 Chapter Target Round
7. _____________
8. _____________
Acircularspinnerhassevensectionsofequalsize,eachofwhichiscoloredeitherredorblue.Twocoloringsareconsideredthesameifonecanberotatedtoyieldtheother.Inhowmanywayscanthespinnerbecolored?
Asquareisinscribedinacircleofradius5units.Ineachofthefourregionsboundedbyasideofthesquareandthesmallercirculararcjoiningtheendpointsofthatside,asquareisdrawnsothatonesideliesonthesideofthelargersquareandthetwooppositeverticeslieonthecircle,asshown.Whatisthetotalareaofthefivesquares?Expressyouranswertothenearestwholenumber.
ways
units2
2013 Cover Chapter Target 1and2.pdf2013 Chapter Target 1and2 - v4.1.pdf2013 Cover Chapter Target 3and4.pdf2013 Chapter Target 3and4 - v4.1.pdf2013 Cover Chapter Target 5and6.pdf2013 Chapter Target 5and6 - v4.1.pdf2013 Cover Chapter Target 7and8.pdf2013 Chapter Target 7and8 - v4.1.pdf
