2015 Holiday Logic Problems Answer Keys. Happy Holidays!

Transcription

1 2015 liday Lgic Prblems nswer eys appy lidays! Lgic tudy Guide created by ducatin est Creatrs Cpyright 2015 ducatin est Creatrs Cpyright 2015 ally ylva and Julie Peabdy ll rights reserved by authrs. Permissin t cpy fr cademic Decathln team and classrm use nly. lectrnic distributin limited t cademic Decathln team and classrm use nly.

2 Wrdku Fill in the Wrdku s that every rw, every clumn, and every b cntains the letters in the wrd(s) listed belw each puzzle. Just like in udku, n letters may be repeated in each rw, clumn r b. C C C C C C C B B B B B B B 1

3 GIVIG M I LL P he sum f the bjects in each rw ttal the number t the right. he bjects in each clumn add up t the sum at the bttm f each clumn. nly whle psitive integers are used. What is the value f each bject? = 3 = 2 = 4 = 5 = GIVIG CPFMIL Cryptgrams are subs tu n cdes. ach letter in the cryptgram stands fr anther letter in the alphabet. letter represents itself r mre than ne letter. Find the hidden message in the cryptfamily. Cryptfamily 1 - int: w r ds ar e assciated w ith hanksgiving: PILGIM LXV XFWQ MFLW VCQBGWX CBI IXCDWXXW PLM LQVGZ PMPI PI LVLF LW VMB GJWVDWX FFIG BB 2

4 GIVIG DCI Ceiling 4 in. 2 in. my is hanging decratins fr her hanksgiving dinner. If the pilgrim hat weighs 3 grams, can yu determine the weight f each figure n the mbile s that all the bjects are balance? 4 in. 2 in. = 1 gram 2 in. 3 in. = 2 grams = 4 grams 3

5 liday elpers: Dnate Fd Dnate ime B C D F G Dnate Mney 4% f thse surveyed were nt able t help this year. = 500(. 04) = 20 1 peple helped in all three ways. = 1 20 peple dnated mney nly, but were hping t d mre net year. = 20 he number f peple wh dnated fd and mney, but culd nt vlunteer time was less than 5 times the number f peple wh vlunteered time and dnated mney. = peple dnated mney and participated in at least ne ther way. + + = 220 ; = 20; = f the peple surveyed did nt vlunteer their time = 180 ; = 50 0 peple participated in nly 1 way. + + = 0 ; = = 500 ; = 160 w many f the peple surveyed did nt dnate mney? = 260 w many f the peple surveyed dnated fd? = 4 w many f the peple surveyed had dnated fd and vlunteered time but did nt dnate mney? = 180 ; = 50 What percentage f the peple surveyed did nt dnate fd? (0%) = 18% What fractin f thse surveyed participated in mre than ne way? = 4

6 anta s eindeer anta always leaves plans fr his elves t determine the rder in which the reindeer will pull his sleigh. his year, fr the urpean leg f his jurney, his elves are wrking with the fllwing instructins, which will frm a single line f nine reindeer: 1. Cmet is behind Blitzen and Cupid, and in frnt f Dancer and Dnder. 2. Blitzen is in frnt f Cupid, Dnder, Vien, and Dancer. 3. Dnder is behind Vien and Dancer, and in frnt f Dasher and Prancer. 4. udlph is behind Prancer, Cupid, Dnder, Blitzen, and Dasher. 5. Prancer is immediately in frnt f udlph, and just behind Dasher. 6. Dasher is behind Dnder, and in frnt f Prancer and udlph.. Vien is in frnt f Dasher, Dancer, and Prancer, and is behind Cmet. Can yu help the elves wrk ut the rder f the reindeer? 1st 2nd 3rd 4th 5th 6th th 8th 9th Blitzen Cmet Cupid Dancer Dasher Dnder Prancer udlph Vien Blitzen, Cupid, Cmet, Vien, Dancer, Dnder, Dasher, Prancer, and udlph 5

7 udku Wrdku L F W W F L F W L F L W L F W W L F F L W W L F W L F WFL 6

8 he rnament ree rnaments n the tree have the same pattern, but are rtated in a clckwise directin. he rnament that des nt fllw the same pattern as the rest is a mirrr image.

9 LID CPGM Cryptgrams are subs tu n cdes. ach letter in the cryptgram stands fr anther letter in the alphabet. letter represents itself r mre than ne letter. Find the hidden message in the cryptgram. ach cryptgram belw uses a different substitutin cde. Cryptfamily 2 - wrds assciated with the Christmas easn. IVI DVMCCM PIP GCQVD LID BGMCG DV W VGDM PGVMQ CIM IQPCJMWVJ MPGG BLM GMQGQGW BB J V ZGJBJ CIG JMFICDJ Cryptgram 1 I B IM W, I V CIM Q B WX V QJW WXF, QB LQBVJB, F LL F DDIC LV BJBXW, X J X DB X MMLJ XDBB X Q PICIPL G B J CI. I I IM WLB JDPQ BDB LQB. B Q V X LV LD, GD, WI LL - D X Q XM, XD PXM, FQ J XD QJ - JWM XD IGB LV. - M. M WPQX JB XDBB. - QXVJB B. VXWBXW 8

10 F C DPDW Q ach square represents ne letter f a famus qute. he letters in each vertical clumn g int the squares directly belw them, but nt necessarily in the rder they appear. black square r thick line indicate spaces between wrds r the end f a wrd. When all the letters are in their crrect place, a qute frm a famus persn is revealed. G B B I G I C C I G C I L I D I I F G I F F C D G M D G I I I I L P B D I I V L F V L V V W M V V G D V G I V M G I F C P B L F C I V I G. I F G I V G I F F C I M, I I B C W L L V B I L I D D D C I V I WD LDD Change the tp wrd int the bttm wrd in each clumn by changing nly ne letter at a time t frm a new wrd. D nt change the rder f the letters. Prper names, slang and freign wrds are nt allwed. (te - answers may vary.) BD MGI B B BL BD BD BL BLL BWL BWL FWL FL F F FI FI LI LIF MG M B BB BLL L GIF BB 9

11 Christmas Wrd Prblems nswer ey _ udlph s rate, 80 km/h; wind, 0 km/h

12 Christmas enen nswer ey

13 akur ach rw r clumn must add up t the the number prvided abve it r t the left. umbers abve the diagnals are sums f rws. umbers belw the diagnals are sums f clumns. here are n zers, and yu may nly use each digit 1 9 nce in any given sum