2014
Chapter 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. 2013. All rights reserved.
02-C14ANS
Sprint Round
13
1. _____________
$ 10.50
2. _____________
quarts
3
3. _____________
16 triangles
4. _____________
18 inches
5. _____________
bugs
80
7. _____________
20 2 cm
8. _____________
12
9. _____________
7
10
10. _____________
lines
15
11. _____________
13. _____________
2,001,000
14. _____________
12,000 years
15. _____________
338
16. _____________
10 ordered
triples
3
2
17. _____________
permu18. _____________
6
tations
81
6. _____________
12. _____________
$ 9000 or
9000.00
19. _____________
16
Copyright MATHCOUNTS, Inc. 2013. All rights reserved. 2014 Chapter Answer Key
Sprint Round
( 0 , −16 )
20. _____________
4
25. _____________
5
9
21. _____________
22
26. _____________
combinations
10
27. _____________
5
12
22. _____________
11
28. _____________
3
23. _____________
units
2 22 units
29. _____________
3
30. _____________
12
24. _____________
units
Copyright MATHCOUNTS, Inc. 2013. All rights reserved. 2014 Chapter Answer Key
Target Round
9
marbles
1. ________________
ways
12
3. _____________
21
5. _____________
6
unit
7. _____________
13
2. ________________
33 quantities
4. _____________
cm
12
6. _____________
3 3 units2
8. _____________
cubes
Copyright MATHCOUNTS, Inc. 2013. All rights reserved. 2014 Chapter Answer Key
Team Round
49
units2
1. _____________
8
primes
6. _____________
44.4
2. _____________
728 integers
7. _____________
points
87
8. _____________
105 routes
3. _____________
100 shirts
4. _____________
360 integers
9. _____________
5
3
10. _____________
years
4
5. _____________
Copyright MATHCOUNTS, Inc. 2013. All rights reserved. 2014 Chapter Answer Key
Countdown Round
56 (minutes)
1. _________________
9π (cm2)
2. _________________
11 (inches)
21. _________________
49
22. _________________
20
6
3. _________________
−1
23. _________________
24 (pounds)
4. _________________
1624 (votes)
24. _________________
150 (degrees)
5. _________________
39
25. _________________
1
6. _________________
163 (pounds)
26. _________________
20 (dollars)
7. _________________
81 (campers)
27. _________________
4 (units)
8. _________________
9 (integers)
28. _________________
70 (percent)
9. _________________
4
29. _________________
12
10. _________________
25
30. _________________
487 (books)
11. _________________
2
12. _________________
3
9
31. _________________
31 (zeros)
13. _________________
2010
33. _________________
20 (sides)
14. _________________
2
34. _________________
30 (cubes)
15. _________________
1
16. _________________
228
35. _________________
1
36. _________________
36
44 (dollars)
17. _________________
15 (miles)
37. _________________
72 (cm2)
18. _________________
998,001
38. _________________
25
19. _________________
8
39. _________________
128
20. _________________
8 (pieces)
40. _________________
3
32. _________________
Copyright MATHCOUNTS, Inc. 2013. All rights reserved. 2014 Chapter Answer Key
Countdown Round
30 (years old)
41. _________________
3
61. _________________
5 (sets)
42. _________________
−2
62. _________________
76 (units)
43. _________________
324 (units3)
63. _________________
40 (pounds)
44. _________________
2
45. _________________
5
3 (units)
64. _________________
12 (multiples)
47. _________________
8 (integers)
65. _________________
4
9
66. _________________
1
67. _________________
2
125 (integers)
48. _________________
81
68. _________________
1710 (customers)
49. _________________
101
69. _________________
12
50. _________________
1
70. _________________
(2, 1)
51. _________________
74
71. _________________
2
52. _________________
1440 (minutes)
72. _________________
130 (degrees)
53. _________________
10
73. _________________
8 (cheerleaders)
54. _________________
3
74. _________________
6561
55. _________________
18 (integers)
75. _________________
1 (values)
56. _________________
3 (dollars)
76. _________________
171 (integers)
57. _________________
5 (intercepts)
77. _________________
21 (questions)
58. _________________
4 (locations)
78. _________________
6 (units2)
59. _________________
140 (cookies)
79. _________________
43
60. _________________
28
80. _________________
3
46. _________________
Copyright MATHCOUNTS, Inc. 2013. All rights reserved. 2014 Chapter Answer Key