2014
State Competition
Answer Key
The appropriate units (or their abbreviations) are provided
in the answer blanks.
Note to coordinators: Answers to the Tiebreaker Round
problems appear in the Tiebreaker Round Booklet.
National Sponsors
2014 MATHCOUNTS
National Competition Sponsor
Raytheon Company
Northrop Grumman Foundation
U.S. Department of Defense
National Society of Professional Engineers
CNA Foundation
Phillips 66
Texas Instruments Incorporated
3M Foundation
Art of Problem Solving
NextThought
Founding Sponsors: National Society of Professional Engineers, National Council of Teachers of Mathematics and CNA Foundation
Copyright MATHCOUNTS, Inc. 2014. All rights reserved.
03-S14ANS
Sprint Round
200
1. _____________
5
6. _____________
in2
490
11. _____________
−7
2. _____________
13 polygons
7. _____________
1
52
units2
12. _____________
1
16
3. _____________
343
8. _____________
176
13. _____________
1
3
4. _____________
0
9. _____________
terms
264
14. _____________
1
3
10. _____________
896
5. _____________
8
15. _____________
Copyright MATHCOUNTS, Inc. 2014. All rights reserved. 2014 State Answer Key
Sprint Round
7
16. _____________
27
2
9
17. _____________
codes
20
18. _____________
5
21. _____________
1806 ways
26. _____________
6
marbles
22. _____________
7
4
27. _____________
8 2 units
23. _____________
1
28. _____________
7
integers
29. _____________
7
students
19. _____________
digits
10
24. _____________
10 3 units
30. _____________
33033 base 5
20. _____________
cm2
504
25. _____________
Copyright MATHCOUNTS, Inc. 2014. All rights reserved. 2014 State Answer Key
Target Round
$ 89.99
1. ________________
5
pounds
2. ________________
ft2
4050
3. _____________
45
5. _____________
9
64
7. _____________
22
4. _____________
1
5
6. _____________
8. _____________
m2
176
Copyright MATHCOUNTS, Inc. 2014. All rights reserved. 2014 State Answer Key
Team Round
14
1. _____________
1
4
2. _____________
82.5 miles
6. _____________
8
solids
7. _____________
( 4 −2
,
)
8. _____________
1
2
3. _____________
-
51
9. _____________
25
cm
4. _____________
3
4
10. _____________
8
integers
5. _____________
Copyright MATHCOUNTS, Inc. 2014. All rights reserved. 2014 State Answer Key
Countdown Round
5
1. _________________
18 (units2)
21. _________________
20 (even integers)
2. _________________
8 (minutes)
22. _________________
3 (units2)
3. _________________
2 6
23. _________________
16 (workers)
4. _________________
15 (permutations)
24. _________________
20 (classes)
5. _________________
12 (meters)
25. _________________
3 (feet)
6. _________________
−1
7. _________________
380 (in2)
26. _________________
m
-m
m -1 or 1 - m
27. _________________
4029 (integers)
8. _________________
8192
28. _________________
−3
9. _________________
75
29. _________________
99
10. _________________
1996
30. _________________
12
11. _________________
720
31. _________________
−5
12. _________________
1
32. _________________
4π (units2)
13. _________________
5
33. _________________
198
14. _________________
31
34. _________________
6 (values)
15. _________________
441
35. _________________
7 (units)
16. _________________
0
36. _________________
11 (digits)
17. _________________
4 (people)
37. _________________
5 (packages)
18. _________________
50
38. _________________
91 (combinations)
19. _________________
5
39. _________________
288
20. _________________
720 (ways)
40. _________________
Copyright MATHCOUNTS, Inc. 2014. All rights reserved. 2014 State Answer Key
Countdown Round
y4 z
x
41. _________________
14 (dollars)
42. _________________
22 (problems)
61. _________________
15
43. _________________
−12
62. _________________
21
100
63. _________________
14
44. _________________
23
64. _________________
24 (students)
45. _________________
45 (cents)
65. _________________
−10
46. _________________
6
66. _________________
968
47. _________________
7
67. _________________
12
48. _________________
1
49. _________________
7
1
50. _________________
2
11
216
51. _________________
1 (integers)
68. _________________
7 (ordered pairs)
69. _________________
41 (percent)
70. _________________
36 (degrees)
52. _________________
15
71. _________________
8
4
72. _________________
15 (miles)
84 (ways)
53. _________________
20
73. _________________
9
54. _________________
5 (digits)
74. _________________
144 (reports)
55. _________________
53
75. _________________
55
56. _________________
15 (units)
76. _________________
15 (miles)
57. _________________
720 (arrangements)
77. _________________
22
58. _________________
32 (ways)
78. _________________
18 (units)
59. _________________
2613 (votes)
79. _________________
1
2
80. _________________
3 (ways)
60. _________________
Copyright MATHCOUNTS, Inc. 2014. All rights reserved. 2014 State Answer Key