![^ u µ ] o ] v P Z ( v < ] h ' µ ] ~ ^h ' µ ] · 2019-08-15 · u } ] } v ] v Ç ] u Á ] Z ] v Z v Æ ñ u ] v µ X K v o Ç ( ] v P v } u } ] } v µ ] v P ñ u ] v µ](https://static.fdocuments.us/doc/165x107/5e2fa78d0cbb0973f54f3874/-u-o-v-p-z-v-h-h-2019-08-15-u-v-v-.jpg)
12-13 MC Handbook with solutions MATHCOUNTS National Competition Sponsor t ] Z ^ µ } & } u W ' v o...
92
ΞϮϬϭϮ Dd,KhEd^ &ŽƵŶĚĂƟŽŶ ϭϰϮϬ <ŝŶŐ ^ƚƌĞĞƚ ůĞdžĂŶĚƌŝĂ s ϮϮϯϭϰ ϳϬϯͲϮϵϵͲϵϬϬϲ Ƈ ǁǁǁŵĂƚŚĐŽƵŶƚƐŽƌŐ Ƈ ŝŶĨŽΛŵĂƚŚĐŽƵŶƚƐŽƌŐ hŶĂƵƚŚŽƌŝnjĞĚ ƌĞƉƌŽĚƵĐƟŽŶ ŽĨ ƚŚĞ ĐŽŶƚĞŶƚƐ ŽĨ ƚŚŝƐ ƉƵďůŝĐĂƟŽŶ ŝƐ Ă ǀŝŽůĂƟŽŶ ŽĨ ĂƉƉůŝĐĂďůĞ ůĂǁƐ DĂƚĞƌŝĂůƐ ŵĂLJ ďĞ ĚƵƉůŝĐĂƚĞĚ ĨŽƌ ƵƐĞ ďLJ h^ ƐĐŚŽŽůƐ Dd,KhEd^Π ĂŶĚ DĂƚŚůĞƚĞΠ ĂƌĞ ƌĞŐŝƐƚĞƌĞĚ ƚƌĂĚĞŵĂƌŬƐ ŽĨ ƚŚĞ Dd,KhEd^ &ŽƵŶĚĂƟŽŶ ϮϬϭϮʹϮϬϭϯ ^ĐŚŽŽů ,ĂŶĚŬ &Žƌ ƋƵĞƐƟŽŶƐ ĂďŽƵƚ LJŽƵƌ ůŽĐĂů Dd,KhEd^ ƉƌŽŐƌĂŵ ƉůĞĂƐĞ ĐŽŶƚĂĐƚ LJŽƵƌ ĐŚĂƉƚĞƌ ;ůŽĐĂůͿ ĐŽŽƌĚŝŶĂƚŽƌ ŽŽƌĚŝŶĂƚŽƌ ĐŽŶƚĂĐƚ ŝŶĨŽƌŵĂƟŽŶ ŝƐ ĂǀĂŝůĂďůĞ ƚŚƌŽƵŐŚ ƚŚĞ &ŝŶĚ DLJ ŽŽƌĚŝŶĂƚŽƌ ŽƉƟŽŶ ŽĨ ƚŚĞ ŽŵƉĞƟƟŽŶ WƌŽŐƌĂŵ ůŝŶŬ ŽŶ ǁǁǁŵĂƚŚĐŽƵŶƚƐŽƌŐ ŽŶƚĂŝŶƐ ϯϬϬ ĐƌĞĂƟǀĞ ŵĂƚŚ ƉƌŽďůĞŵƐ ƚŚĂƚ ŵĞĞƚ EdD ƐƚĂŶĚĂƌĚƐ ĨŽƌ ŐƌĂĚĞƐ ϲͲϴ 2013 MATHCOUNTS National Competition Sponsor tŝƚŚ ^ƵƉƉŽƌƚ &ƌŽŵ 'ĞŶĞƌĂů DŽƚŽƌƐ &ŽƵŶĚĂƟŽŶ dŚĞ EĂƟŽŶĂů ŽƵŶĐŝů ŽĨ džĂŵŝŶĞƌƐ ĨŽƌ ŶŐŝŶĞĞƌŝŶŐ ĂŶĚ ^ƵƌǀĞLJŝŶŐ ĂƐĞƌǀĞ &ŽƵŶĚĂƟŽŶ ZŽĐŬǁĞůů ŽůůŝŶƐ &ůƵŽƌ ŽƌƉŽƌĂƟŽŶ ^ƚƌŽŶŐĞ &ĂŵŝůLJ &ŽƵŶĚĂƟŽŶ zŽƵĂŶŽdŚĞƵďĞ dŚĞ ĐƚƵĂƌŝĂů &ŽƵŶĚĂƟŽŶ EĂƟŽŶĂů ^ƉŽŶƐŽƌƐ ZĂLJƚŚĞŽŶ ŽŵƉĂŶLJ EŽƌƚŚƌŽƉ 'ƌƵŵŵĂŶ &ŽƵŶĚĂƟŽŶ h^ ĞƉĂƌƚŵĞŶƚ ŽĨ ĞĨĞŶƐĞ EĂƟŽŶĂů ^ŽĐŝĞƚLJ ŽĨ WƌŽĨĞƐƐŝŽŶĂů ŶŐŝŶĞĞƌƐ E &ŽƵŶĚĂƟŽŶ ŽŶŽĐŽWŚŝůůŝƉƐ dĞdžĂƐ /ŶƐƚƌƵŵĞŶƚƐ /ŶĐŽƌƉŽƌĂƚĞĚ ϯD &ŽƵŶĚĂƟŽŶ ƌƚ ŽĨ WƌŽďůĞŵ ^ŽůǀŝŶŐ EĞdžƚdŚŽƵŐŚƚ &ŽƵŶĚŝŶŐ ^ƉŽŶƐŽƌƐ EĂƟŽŶĂů ^ŽĐŝĞƚLJ ŽĨ WƌŽĨĞƐƐŝŽŶĂů ŶŐŝŶĞĞƌƐ EĂƟŽŶĂů ŽƵŶĐŝů ŽĨ dĞĂĐŚĞƌƐ ŽĨ DĂƚŚĞŵĂƟĐƐ E &ŽƵŶĚĂƟŽŶ
Transcript of 12-13 MC Handbook with solutions MATHCOUNTS National Competition Sponsor t ] Z ^ µ } & } u W ' v o...
-
2013 MATHCOUNTS National Competition Sponsor
-
12
-
13
100876545
25
ZX
Y
Q
IS 030
-
45
$50Gift Card
-
23
12
13
1.3
A
B C
D
E
F
4
4
4
4
4
22
66
33
10
-
MOPN OP
ab cx y
2
0
5
54,3214,321
32121
1+
12,34512,34012,30012,00010,000+
N
P
M O
BA
2 in
5 in6 in
polyabolo1
polyabolo3
polyabolo2
A
B C
D4
6
M
N O
P
3
8
-
TENNESSEETEXAS
-
xy
2013
2013
FH JH FHJH FG
E F
G
HJ
-
( )( )33
2 3 2a b abab
161
5
-
b aa
32
18
8
3
NA
S
D A
-
14
A B C D E F G H
-
83
34
1 1 12x y
+ = 1 1 14x y
- = 1 12 2x y
-
RZ
528
a bc( )
40
x
y
120 80
8030
A
B
CD
EF
W
X Y
Z32 R
A
B C
D20
8 10
-
29
12
Q
P
N
-
KJJ
K
1 2 3 44 3 2 1
12345
54321
x
y
-
58
-
49
34
6
7
8
9
-
13
1 2 31 2 3
20122013
-
12 in
9 in
-
NP
81 1881 18
72 2772 27
63 3663 36
54 4554 45
2 2 2 2 2 2 2 2-- -
-- +
-- -
--
CBA
13
12
a bc d ef 4 25
13
M
N
O
P
x25
17
15
-
15
12
13
14
12+ + + + >
Name Mean Number of Cookiesin Bag Lunch to School Last MonthNumber of Bag Lunches Brought
Amy 2 16Jerrod 4 12Miguel 3 20Pa!y 2 12
Q
S
R52
-
x
y
A
G
F
E D
C
B
-
13
12
DE BC
A B
CD
AA
C
E
B
D
-
35
ab
ba
VWU
YZX
T
B
AC
H
O
U S
E
-
BC BEECDC CFFD BF
A
X
Y
FD C
E
B
-
WX AB YZ GH
PQ PR QR
V-Dot 1 V-Dot 2 V-Dot 3
E
AWB
CX
HYG
F DZ
Coin Penny Nickel Dime QuarterWeight (g) 2.500 5.000 2.268 5.670
P
R
Q 9 in
JK
L M NH
-
1 2 3 4 55 4 3 2 1
123456
654321
x
y
1 2 3 4 55 4 3 2 1
102030405060
605040302010
x
y
7 69 8
x h(x)1 30 101 72 63 194 58
-
1 12 1
f xx xx x
( ),,
=+
2
![d v } µ u v ' v Z } µ ] ] D µ v ] ] o ] Ç · d v } µ u v ' v z } µ ] ] d µ v ] ] o ] Ç &+(&./,67 3ohdvh hqvxuh wkdw wkh iroorzlqj irupv kdyh ehhq frpsohwhg dqg vljqhg dqg](https://static.fdocuments.us/doc/165x107/603f8fab1e10e45280523bf5/d-v-u-v-v-z-d-v-o-d-v-u-v-v-z-d-v.jpg)
![µ Ç } v Ç v u ] } v } ( u ] r µ u ] o ( o } ] v P Á ] v µ ...€¦ · µ Ç } v Ç v u ] } v } ( u ] r µ u ] o ( o } ] v P Á ] v µ ] v } v ] ] v P } u ] v Á À v µ v o](https://static.fdocuments.us/doc/165x107/6044ee0af0a78610cc1ddacf/-v-v-u-v-u-r-u-o-o-v-p-v-v-.jpg)
![, À Ç } µ ~ } Z Ç ] Ç } µ ~ } Æ ] v , Z Z v P } Z , Z v ......, o Z } Ç } µ ( ] o o ] v P Z ] µ À Ç ] v } µ , o Z } Ç } µ ( ] o o ] v P Z ] µ À Ç ] v } µ](https://static.fdocuments.us/doc/165x107/61255b33a02cef1723398de4/-z-v-z-z-v-p-z-z-v-o-z-.jpg)
![Z ] < } o U ^ µ P ] } < Ç o : v U µ Ç ^ µ P ] } : µ o Ç î ... · ^ } µ W P íd } o ^ Z À v µ v Æ v ] µ r ' } À v u v Á ]](https://static.fdocuments.us/doc/165x107/5f1e444a7d33705ff735f8c4/z-o-u-p-o-v-u-p-o-.jpg)
![SENSACIà N, PERCEPCIà N Y RAZONAMIENTOS€¦ · ï µ o µ W ] v µ o µ o µ v o µ À ] À µ v ] v ] À ] µ } } v ] µ Ç ^ µ _ µ](https://static.fdocuments.us/doc/165x107/6032fd624538023875270df3/sensacif-n-percepcif-n-y-razonamientos-o-w-v-o-o-v-o-.jpg)
![^D ] v ] u µ u Z µ ] } µ u v } u hE ] v v o µ ] u v } ( } µ u v …...^D ] v ] u µ u Z µ ] } µ u v _ } u hE ] v v o µ ] u v } ( } µ u v } Z ] v Z Z D^ ^ } } o This handout](https://static.fdocuments.us/doc/165x107/5f16510e2ac2e319e641a1fd/d-v-u-u-z-u-v-u-he-v-v-o-u-v-u-v-d-v.jpg)
![v } µ v ] µ Z Ç } Æ Ç Z o } } µ ] v ( } } À ] r í õ ] t v i ] } v M - ISPSW · 2020. 8. 2. · K v Z ] µ } ( v u ] u v P u v U µ v o Ç ] v v ^ } µ Z ] v } µ v ] v i](https://static.fdocuments.us/doc/165x107/61193431506622194e23ad4e/v-v-z-z-o-v-r-t-v-i-v-m-ispsw.jpg)
![Kia V14 New Map Features S4...d Z o } Á ( µ Á µ ] v P ] ( ( v ] } X / ( Ç } µ µ v u À ] } v ] Z u } v Á U Z d Z o } Á ( µ Á µ ] v P ] ( ( v ] } X / ( Ç } µ µ v u À](https://static.fdocuments.us/doc/165x107/5f8b210547d0a023a75a05a6/kia-v14-new-map-features-s4-d-z-o-v-p-v-x-.jpg)
![P R ] u o u v o f 7 ] v P À s u À µ Ç µ µ z u < f o À µ Ì µ · P À l ] À ] ] } o µ µ u l ] ] v Ç ( v f Ì f v R f v µ o µ v v ^z v ] l ] À ] l o _ µ } v µ v f](https://static.fdocuments.us/doc/165x107/5f107ded7e708231d4495fbb/p-r-u-o-u-v-o-f-7-v-p-s-u-z-u-f-o-oe-p-l.jpg)
![^ u ] ] > µ v Z W u ] µ u µ Ç v](https://static.fdocuments.us/doc/165x107/62141d568d0014187931f306/-u-gt-v-z-w-u-u-v.jpg)
![2019 FFJ Annual Report - Final · î ì í õ v v µ o Z } d Z E W & µ v ( } : µ ] U / v X ^ } v } µ : } µ v Ç } : µ ]](https://static.fdocuments.us/doc/165x107/5f330c4ac65afa37b30524c3/2019-ffj-annual-report-final-v-v-o-z-d-z-e-w-v-.jpg)
![ï ±physiquecarnotsupiv.blog.free.fr/public/Feuilles_exercices/Mecanique… · ^ µ W ^/ í r Æ ] Z Ç ] µ } Z v P ] µ µ u } µ À u v [ µ v } ] v u ] o ï± µ §](https://static.fdocuments.us/doc/165x107/5f10677d7e708231d448f1af/-w-r-z-z-v-p-u-u-v-v-v-u.jpg)
![} v } µ µ Æ ( µ o D ] v W Z u ] µ Æ & µ o D ] v v ] î ì î ...](https://static.fdocuments.us/doc/165x107/62ab993ab1f3af1e1743d946/-v-o-d-v-w-z-u-amp.jpg)
![d u À ] o i o Ç Ç v U o ] v v ] l v u ] v i o ] v v À Ç v ... · r À } v v µ t v µ u ] v µ o À µ µ v v v µ o ] v v ] l v u ] v v < Ç W](https://static.fdocuments.us/doc/165x107/5f50de8d05566a226e0f2db6/d-u-o-i-o-v-u-o-v-v-l-v-u-v-i-o-v-v-v-r-v-v-.jpg)
![Final Sheet version 6 - Amazon S3 · 2019-10-31 · > ] } ( ] o W ] } µ µ W ] / v o µ } v v ] v E & ] ] o } µ µ E u µ ] } v ZW ~Z X '^d ~Z X > ] } ( ] o W ] } µ µ W ] / v](https://static.fdocuments.us/doc/165x107/5f8d786801481478c7314712/final-sheet-version-6-amazon-s3-2019-10-31-o-w-w-.jpg)
![Num002 PropositionDeMaquette BenF Finalisation · 2020. 11. 15. · v À µ µ ] o o [ } µ b o À µ } v À X µ ( ] o í ì i } µ µ ] À v U } v } µ À ] o µ](https://static.fdocuments.us/doc/165x107/60d1d6fe3e5b89465f26bbd0/num002-propositiondemaquette-benf-finalisation-2020-11-15-v-o-o.jpg)
![Z µ o } ( Z µ À Ç } v Z µ } ( Z } ] v Á v : µ v î ì U î ì ... · Z µ o } ( Z µ À Ç } v Z µ } ( Z ] } o ] v / v v } v o } ] v Á v : µ v î ì U î ì í ò v u î](https://static.fdocuments.us/doc/165x107/5f0ea78c7e708231d440484c/z-o-z-v-z-z-v-v-v-u-z-o.jpg)
![P µ ] v P Z ] o v µ ] v P > } l } Á v€¦ · ^ ( P µ ] v P Z ] o v µ ] v P > } l } Á v d Z o } } ( ] + v Á Ç Ç } µ v P Z o ] ( Ç } µ Á } ] Title: C:UserscscfsgsmAppDataLocalTempmso9EAB.tmp](https://static.fdocuments.us/doc/165x107/5f483ee86fe8343e605bd708/p-v-p-z-o-v-v-p-l-v-p-v-p-z-o-v-v-p-.jpg)