MMPC Part I, 2000, item analysis

Michigan Mathematics
Prize Competition

Item Analysis for the Forty-Fourth
Michigan Mathematics Prize Competition
Part I, October 11, 2000

problem number	correct answer	percent A	percent B	percent C	percent D	percent E	percent other
1	A	41.9	54.0	0.9	0.9	2.2	0.1
2	B	3.0	39.5	6.8	26.1	23.0	1.6
3	B	16.7	30.0	7.4	40.2	5.4	0.3
4	A	45.2	21.8	22.2	3.8	4.8	2.2
5	A	47.8	5.6	15.8	6.9	23.3	0.6
6	B	6.1	47.1	24.6	5.1	16.8	0.3
7	E	20.7	23.3	13.5	14.5	26.7	1.3
8	D	4.5	11.3	13.2	26.9	43.3	0.8
9	A	34.9	14.8	14.2	7.8	27.2	1.2
10	E	12.0	17.4	22.5	17.2	28.9	2.0
11	A	30.6	20.9	12.6	16.0	19.0	0.9
12	C	9.0	17.1	35.1	10.0	27.6	1.2
13	C	14.7	25.6	16.3	24.5	16.7	2.3
14	B	18.4	32.0	18.0	17.5	13.1	1.1
15	D	19.2	12.2	15.7	41.3	10.7	1.0
16	A	42.8	15.0	11.5	5.9	23.8	1.1
17	D	25.4	18.4	9.8	38.1	7.6	0.7
18	A	24.5	9.6	26.7	4.3	34.1	0.8
19	D	16.9	13.4	23.9	23.2	21.1	1.5
20	B	12.6	47.6	17.6	8.8	12.3	1.1
21	C	15.3	13.4	25.6	6.8	37.8	1.1
22	B	12.7	25.0	23.3	16.1	21.7	1.2
23	D	14.0	27.2	18.6	25.8	12.3	2.0
24	D	10.7	20.6	26.4	24.5	16.5	1.4
25	D	8.9	13.0	12.8	46.0	18.1	1.2
26	B	43.5	20.9	9.6	11.6	13.2	1.2
27	C	23.8	36.7	17.6	14.4	6.0	1.6
28	E	3.3	9.6	17.7	5.3	63.0	1.1
29	C	15.6	22.4	33.3	13.9	13.1	1.7
30	B	22.7	29.2	15.8	15.6	15.2	1.5
31	E	22.1	11.6	35.6	15.3	14.4	1.1
32	D	8.0	13.7	16.3	56.7	4.0	1.4
33	E	10.1	26.4	28.5	9.4	23.8	1.8
34	B	11.7	31.0	16.8	18.9	20.0	1.6
35	B	13.4	24.7	22.4	26.4	10.6	2.6
36	C	13.4	14.3	24.7	24.8	21.1	1.7
37	D	14.6	16.0	22.4	33.0	11.9	2.0
38	E	10.3	6.2	37.9	17.2	26.9	1.5
39	E	15.9	18.7	25.1	14.5	23.4	2.4
40	D	34.0	8.0	12.3	12.4	31.9	1.5

Modified November 15, 2000, by Robert Messer