MMPC Part I, 1999, item analysis

Michigan Mathematics
Prize Competition

Item Analysis for the Forty-Third
Michigan Mathematics Prize Competition
Part I, October 13, 1999

problem number	correct answer	percent A	percent B	percent C	percent D	percent E	percent other
1	E	8.0	22.4	21.8	15.6	31.5	0.7
2	B	12.9	28.2	50.6	5.6	2.4	0.3
3	B	23.0	51.2	8.6	7.2	9.7	0.3
4	B	7.0	33.5	8.6	42.0	8.2	0.8
5	C	21.8	20.2	12.7	4.7	39.2	1.3
6	A	52.8	20.3	11.1	9.2	5.9	0.7
7	D	18.4	17.2	20.4	22.6	19.5	1.9
8	A, C	40.9	15.9	25.7	6.5	10.6	0.4
9	D	10.1	24.8	14.7	30.9	18.3	1.2
10	A	55.9	6.8	8.6	23.9	4.4	0.3
11	C	0.9	16.6	9.7	70.9	1.8	0.1
12	D	27.4	21.5	17.1	25.0	7.4	1.5
13	C	2.7	10.3	33.7	6.2	46.2	0.9
14	A	33.0	22.3	19.3	10.3	14.5	0.5
15	B	17.5	33.1	17.3	18.5	12.4	1.1
16	C	14.0	4.7	69.4	8.1	3.4	0.3
17	C	11.0	13.2	13.9	11.5	49.4	1.0
18	A	20.3	16.3	16.9	26.5	19.2	0.8
19	B	11.1	42.4	15.4	23.2	7.1	0.8
20	C	20.8	39.6	15.1	9.0	13.9	1.6
21	B	6.0	42.8	3.3	29.2	18.6	0.2
22	D	16.5	18.2	32.0	30.5	2.0	0.8
23	C	5.6	37.1	13.7	38.4	4.0	1.0
24	E	2.0	2.6	7.2	17.7	70.1	0.5
25	B	22.8	25.3	18.8	16.7	15.8	0.6
26	C	9.3	16.0	25.5	18.8	28.9	1.5
27	A	21.0	16.7	29.9	22.5	8.3	1.5
28	A	27.2	20.4	21.2	25.3	5.3	0.6
29	E	17.6	14.8	22.4	12.7	31.8	0.8
30	B	19.9	20.3	5.3	2.2	51.9	0.5
31	E	22.2	10.9	24.2	27.0	15.4	0.4
32	A	32.7	23.0	14.5	9.0	19.7	1.0
33	B	8.4	15.5	18.4	23.9	32.5	1.3
34	B	17.4	21.1	20.5	9.6	29.8	1.6
35	A	31.8	11.2	14.3	18.2	23.5	1.1
36	C	8.1	12.8	33.3	14.7	29.9	1.2
37	A	29.0	10.7	14.0	11.4	33.3	1.6
38	A	56.2	16.3	6.6	3.0	17.4	0.6
39	A	27.4	20.7	20.2	9.8	20.4	1.5
40	C	13.2	17.2	37.4	24.5	6.2	1.6

Modified December 1, 1999, by Robert Messer