TestGraf98
35
.891 .68
On the Item Analysis of Basic Mathematic Ability
Assessment for Mailiao Township Elementary
Schools of Yulin County
Abstract
The main purpose of this study is to estimate the result of the 98 Acdamic Year Basic Mathematic Abitity Testing Program, by using the TestGraf98 software for the Mailiao Township elementary schools in Yunlin County. By means of the analysis of the multiple-choice items is to search for the misconception of students, which would be a good reference for teachers who can adjust their teaching methods and proceed on remedy instruction.
In this study, two classes of the sixth grade students were selected from Mailiao Elementary School in Yunlin County. The result of this study was analyzed through the item option characteristic curve model. The findings of this study were as the following:
1. The 35 questions from the 98 Acdamic Year Basic Mathematic Testing
Program for the Mailiao Township elementary schools in Yunlin County which mainly assess the ability of number, quantity, geometry, algebra, statistics and probability. The reliability of the test is 0.891, and the pass rate is 0.68. All of them had good statistical properties.
2. The 35 questions examined by the TestGraf98 software were effective
diagnostic function to help teachers to develop the achievement and diagnostic tests.
3. Subjects perform less pass rate in probability, volume and scale of geometry,
however, they have higher pass rate in algebra.
At last, according to the findings of this study, some applications for the instructional activities and the further researches were recommended.
... 1 ... 2 ... 3 ... 3 ... 4 ... 5 ... 5 ... 10 ... 19 ... 27 ... 33 ... 33 ... 34 ... 34 ... 38 ... 39 ... 39 ... 48 ... 91 ... 97 ... 97 ... 98 ... 101 ... 101 ... 103 ... 105 ... 105 ... 116 ... 122
3-3-1 ... 34 3-3-2 ... 36 4-1-1 ... 39 4-1-2 ... 41 4-1-3 ... 42 4-1-4 ... 42 4-1-5 ... 43 4-1-6 ... 45 4-3-1 ... 91
2-1-1 ... 6 2-1-2 ... 7 2-1-3 ... 7 2-1-4 ... 8 2-1-5 ... 8 2-1-6 ... 9 2-1-7 ... 9 2-1-8 ... 10 2-3-1 ... 21 3-1-1 ... 33 4-2-1 1 ... 51 4-2-2 2 ... 52 4-2-3 3 ... 53 4-2-4 4 ... 54 4-2-5 5 ... 55 4-2-6 6 ... 56 4-2-7 7 ... 57 4-2-8 8 ... 58 4-2-9 9 ... 59 4-2-10 10 ... 60 4-2-11 11 ... 61 4-2-12 12 ... 62 4-2-13 13 ... 64 4-2-14 14 ... 65 4-2-15 15 ... 66 4-2-16 16 ... 67 4-2-17 17 ... 68 4-2-18 18 ... 70 4-2-19 19 ... 71 4-2-20 20 ... 73 4-2-21 21 ... 74 4-2-22 22 ... 75 4-2-23 23 ... 76
4-2-24 24 ... 77 4-2-25 25 ... 78 4-2-26 26 ... 79 4-2-27 27 ... 80 4-2-28 28 ... 81 4-2-29 29 ... 82 4-2-30 30 ... 84 4-2-31 31 ... 85 4-2-32 32 ... 86 4-2-33 33 ... 87 4-2-34 34 ... 88 4-2-35 35 ... 90
2001
50%
(Linn, 1994) 1980 2005
TestGraf98
1-6
OCC
Option Characteristic Curve
2003
TestGraf 98
J. O. Ramsay 1995 TestGraf 98 200860 12-13 1-6 …
2004
Ebel Frisbie, 1991
item response theory IRT
1950 Lord
1995 Ramsay
1991 Psychometrika kernel smoothing
1
0 binary variable
TestGraf98 optioncharacteristic curve OCC (increasing) 1995 2001 2-1-1 1 1 3 2 4 2-1-1
2-1-2 1 4
2-1-2
2-1-3 2
4
2-1-4 4
2-1-4
2-1-5 1 2 1 2
2-1-6 4
2-1-6
2-1-7 1
2-1-8 3 2-1-8
multiple-choice items 1999
1999 1995 2009
Stem
direct question
incomplete statement
options choices alternatives
1995
2009
1999
2001
1995 1995 2001 2001
1995 2009 2004 1999 2000
1999 1999 1995 1995
1/2 2001 1/3 1/5 1999 2001 1999
2002 2001 2004 1999 1/4
1999 2009
1999
2004 1995 2002
evaluation
1999
examination testing measurement
2002
(
2-3-1 Glaser, 1962 2-3-1 1995 1989 2004 1995
2004 1995 2004 2006 1989 1989
2004 2004 2006 1995 ( ) 2009 206
2004 2004 1. 2. 3. 2006 2002 1995 49-51
1995 2004 2001
1. 2. 3. 4. 1. 2. 3. 1. 2. 3. 4. 5.
1. 2. 3. 4. 5. 6. 7.
2001
─
300 OCC2001 TestGraf98DIF
2008
95 80 1. SPSS EXCEL 2. TestGraf98 EXCEL 1 Cronbachα .87 2 3 .65 4 .55 1 22002
--9-10 - 152 130 OCC2001 TestGraf98 .89 5 ~100 0.66 0.51
2003
411 SPSS TestGraf98 0.71 0.29 0.3 .8233
200饋
饋饋
饋
165 OCC2001 TestGraf981. 2. 0.52 0.41 1. A B C D E F a b c d 2. 76 9 15 TestGraf98
3-1-1
EXCEL SPSS TestGraf峯珉
60
35 60 3-3-1 3-3-1 1 5-n-10 2 6-n-05 3 5-s-04 4 4-n-02 5 5-n-02 6 1-s-06
3-3-1 7 4-n-01 ( ) 8 5-n-12 9 6-n-07 10 6-s-04 ( 6-n-12) 11 6-d-01 12 6-a-04 ( 6-n-13) 13 6-s-02 14 5-n-13 15 6-d-01 16 5-n-03 17 4-n-12 18 6-s-05 19 6-n-09 20 6-n-03 21 5-s-05 ( 5-n-16) 22 6-s-01 23 5-n-05
3-3-1 24 6-a-04 ( 6-n-13) 25 6-a-02 26 6-n-07 27 6-s-05 28 5-n-19 29 6-n-07 30 6-n-08 31 6-n-13 ( 6-s-06) 32 6-s-02 33 6-s-02 34 6-d-01 35 6-d-01 2003 3-3-2 3-3-2 2 20 23 3 N 7 1
3-3-2 30 1 9 19 26 29 4 16 1 4 1 5 1 1 1 8 1 14 17 2 28 1 18 22 27 3 13 32 33 3 6 1 10 21 2 31 1 S 3 1 25 1 A 12 24 2 D 11 15 34 35 4
EXCEL SPSS TestGraf98
A B C D E F … 990602A 99 6 2 A 990602B 99 6 2 B 990602C 99 6 2 C 990602D 99 6 2 D 990602E 99 6 2 E 990602F 99 6 2 F
60 EXCEL SPSS EXCEL 27% 27% 16 16 H P PL P D 4-1-1 4-1-1 H P P L P D 1 1 .375 .688 .625 2 1 .5 .75 .5 3 1 .5 .75 .5 4 .938 .625 .781 .313 5 1 .75 .875 .25 6 1 .625 .813 .375 7 1 .625 .813 .375
4-1-1 H P P L P D 8 1 .438 .719 .563 9 1 .688 .844 .313 10 .563 .063 .313 .5 11 .938 .375 .656 .563 12 1 .625 .813 .375 13 .75 0 .375 .75 14 0.938 .438 .688 .5 15 .75 .25 .5 .5 16 .875 .375 .625 .5 17 .938 .125 .531 .813 18 1 .938 .969 .063 19 1 .5 .75 .5 20 .938 .5 .719 .438 21 1 .438 .719 .563 22 1 .5 .75 .5 23 1 .563 .781 .438 24 .938 .375 .656 .563 25 1 .375 .688 .625 26 1 .438 .719 .563 27 .938 .188 .563 .75 28 1 .25 .625 .75 29 .625 .125 .375 .5
4-1-1 H P P L P D 30 .875 .5 .688 .375 31 .75 .25 .5 .5 32 .938 .188 .563 .75 33 .813 .375 .594 .438 34 .375 .25 .313 .125 35 .625 .375 .5 .25 4-1-2 0 .19 .20 .39 .40 .59 .60 .79 .80 1 0 4 7 18 6 35 0% 11.43% 20% 51.43% 17.14% 100% .657 4-1-2 .657 .60 .79 18 51.43% .4 4 .50 2001 .657
4-1-3 .1 .1 .29 .30 .39 .40 1 3 6 25 35 2.86% 8.57% 17.14% 71.43% 100% .486 4-1-3 .486 .04 4-1-4 2004 4-1-4 .40 .30 .39 .20 .29 .01 .1 4-1-4 25 71.43% 6 17.14%
1-13 1-6 32 33 34 35 1-3 2-4 18 3-4 s Cronbach' α SPSS 4-1-5 Cronbach's α .891 35 60 s Cronbach' α .891 4-1-5 1 .887 18 .891
4-1-5 2 .888 19 .888 3 .889 20 .890 4 .889 21 .886 5 .890 22 .886 6 .888 23 .887 7 .890 24 .889 8 .887 25 .887 9 .889 26 .886 10 .890 27 .886 11 .885 28 .883 12 .887 29 .889 13 .886 30 .893 14 .887 31 .891 15 .889 32 .886 16 .889 33 .891 17 .886 34 .894 35 .895
(27%) (27%) 16
4-1-6 4-1-6 A B C D 100% 0% 0% 0% 1 37.5% 25% 18.75% 18.75% 0% 100% 0% 0% 2 37.5% 50% 12.5% 0% 0% 0% 0% 100% 3 12.5% 6.25% 31.25% 50% 6.25% 93.75% 0% 0% 4 18.75% 62.5% 12.5% 6.25% 100% 0% 0% 0% 5 75% 0% 6.25% 18.75% 0% 100% 0% 0% 6 18.75% 62.5% 0% 18.75% 0% 0% 100% 0% 7 6.25% 18.75% 56.25% 18.75% 100% 0% 0% 0% 8 43.75% 37.5% 12.5% 6.25% 0% 0% 100% 0% 9 12.5% 6.25% 68.75% 12.5% 12.5% 25% 56.25% 6.25% 10 18.75% 50% 6.25% 25% 6.25% 0% 93.75% 0% 11 43.75% 12.5% 37.5% 6.25%
4-1-6 0% 0% 100% 0% 12 6.25% 18.75% 62.5% 12.5% 75% 0% 25% 0% 13 0% 25% 31.25% 43.75% 0% 6.25% 93.75% 0% 14 6.25% 31.25% 43.75% 18.75% 12.5% 6.25% 6.25% 75% 15 25% 37.5% 12.5% 25% 0% 6.25% 6.25% 87.5% 16 12.5% 31.25% 18.75% 37.5% 6.25% 0% 0% 93.75% 17 25% 18.75% 43.75% 12.5% 0% 100% 0% 0% 18 0% 93.75% 0% 6.25% 100% 0% 0% 0% 19 50% 12.5% 6.25% 31.25% 0% 93.75% 0% 6.25% 20 18.75% 43.75% 18.75% 18.75% 100% 0% 0% 0% 21 43.75% 18.75% 18.75% 18.75% 0% 0% 100% 0% 22 18.75% 31.25% 50% 0% 0% 0% 100% 0% 23 12.5% 12.5% 56.25% 18.75% 0% 93.75% 6.25% 0% 24 31.25% 37.5% 25% 6.25% 0% 100% 0% 0% 25 18.75% 37.5% 31.25% 12.5%
4-1-6 0% 0% 100% 0% 26 25% 31.25% 43.75% 0% 0% 0% 6.25% 93.75% 27 0% 43.75% 37.5% 18.75% 100% 0% 0% 0% 28 25% 31.25% 25% 18.75% 6.25% 18.75% 62.5% 12.5% 29 37.5% 18.75% 12.5% 31.25% 87.50% 12.5% 0% 0% 30 50% 12.5% 25% 12.5% 12.5% 6.25% 75% 6.25% 31 43.75% 31.25% 25% 0% 0% 0% 6.25% 93.75% 32 37.5% 12.5% 31.25% 18.75% 6.25% 0% 81.25% 12.5% 33 12.5% 31.25% 37.5% 18.75% 0% 56.25% 37.5% 6.25% 34 25% 43.75% 25% 6.25% 62.5% 18.75% 6.25% 12.5% 35 31.25% 12.5% 37.5% 18.75%
TestGraf98 OCC 0 ±2.5 5 4-2-5 1 2 3 4 6 7 9 12 18 19 20 21 24 26 30 4-2-5 5
11 4-2-11 8 14 16 17 22
23 25 28 33
10 4-2-10 13 15 27 29 31
32 34 35
1 4-2-1 1 1. (A) 12 (B) 25 (C) 6000 (D) 2300 5-n-10 1 2 3 4
2 4-2-2 2 2. 5 6 5 ÷ 3 7 3 × 2 5 2 (A) 4 24 1 (B) 4 12 1 (C) 4 6 1 (D) 4 3 1 6-n-05 1 2 3 4
3 4-2-3 3 3. (A) (B) (C) (D) 5-s-04 1 2 3 4
4 4-2-4 4 4. 5 6 8 5 6 34 (A) 4 (B) 5 (C) 6 (D) 7 4-n-02 1 34÷8 4 2 4 1 2 3 4
5 4-2-5 5 5. 13 3 2 (A)65 (B)68 (C)75 (D)78 5-n-02 1 2 3 4 13×6=78
6 4-2-6 6 6. (A) 2 3 (B) 2 4 (C) 2 3 (D) 2 4 1-s-06 1 2 3 4
7 4-2-7 7 7. (A)2046300 (B)20046300 (C)20040630 (D)20004630 4-n-01 ( ) 1 2 3
4
8
4-2-8 8
8. 3
Jeter A-rod Posada
24 20 24
8 3 6
Jeter A-rod Posada
(A) Jeter (B) A-rod (C) Posada (D)
5-n-12 1
2 3 4 9 4-2-9 9 9. (A) 4 7 8 12 (B) 12 30 36 63 (C) 104 117 8 9 (D) 15 8 88 99 6-n-07
1 2 3 4 10 4-2-10 10 10. 臺 (A) 30π (B) 40π (C) 50π (D) 60π 6-s-04 ( 6-n-12)
1 2 5 3 3 0.6 4 11 4-2-11 11 11. (A) 2 1
(B) 3 1 (C) 4 1 (D) 5 1 6-d-01 1 6 2 1 2 3 4 12 4-2-12 12
12. 10 18 10 (A) 78 (B) 80 (C) 82 (D) 84 6-a-04 ( 6-n-13) 1 2 3 4 4-2-12
13 4-2-13 13 13. 1 100 1 (A)1 (B)10 (C)100 (D)1 6-s-02 1 2 3 4 2 3 4
14 4-2-14 14 14. 3 10 0.2 500 (A) (B) (C) (D) 5-n-13 1 2 3 2 4 4
15 4-2-15 15 15. (A) 86 (B) 83.8 (C) 79 (D) 84.6 6-d-01 1 90 92 80 82 88 86 88 66 78 96 78 84 70 76 88 80 90 88 83 82
2 6 3 4 1 2 3 16 4-2-16 16 16. A 8 (A) 1 (B) 2 (C) 3 (D) 4 5-n-03 1
2 3 4 1 2 17 4-2-17 17
17. (A) (B) (C) (D) 4-n-12 1 2 3 6 4 1 2 3 2 17 3 22 2 36 2 18 3 33 2 45 2 34 3 14 2 29 2 24 3 17 2 29
18 4-2-18 18 18. (A) (B) (C) (D) 6-s-05 1
2 3 4 4-2-18 19 4-2-19 19
19. (A) (B) (C) (D) 6-n-09 1 2 3 4
20 4-2-20 20 20. 24 6 (A) 4 4 (B) 4 3 (C) 4 2 (D) 4 1 6-n-03 1 2 3 4
21 4-2-21 21 21. (A) 66 (B) 68 (C) 70 (D) 72 5-s-05 ( 5-n-16) 1 2 3 4
4-2-21 22 4-2-22 22 22. 3 4 5 (A) (B) (C) (D) 6-s-01 1 2
3 4 23 4-2-23 23 23. 2 9 4 3 15 4 (A) 5 25 23 (B) 5 25 33 (C) 5 45 32 (D) 5 55 32 5-n-05 1
2 3 4 24 4-2-24 24 24. 268 (A) (B) (C) (D) 6-a-04 ( 6-n-13)
1 2 1 3 4 25 4-2-25 25 25. 2560 200 120 (A) 6 (B) 8 (C)10 (D)12 6-a-02
1 2 3 4 3 4 26 4-2-26 26 26. 1000 2 3 2 (A) 600 400 (B) 500 500 (C) 400 600 (D) 700 300
6-n-07 1 2 1000÷2 500 3 4 27 4-2-27 27 27. (A) 4 (B) 5 (C) 6 (D) 7
6-s-05 1 2 3 4 2 3 28 4-2-28 28 28. 4 90C.C. (A) 1620 (B) 1720 (C) 1820 (D) 1920
5-n-19 1 2 3 4 2 3 4 4-2-28 29 4-2-29 29
29. 4 3 5 8 12 (A) 6 (B) 8 (C) 10 (D) 12 6-n-07 1 2 3 0 4 4-2-29
30 4-2-30 30 30. 20km 4km 9 (A)6 (B)7 (C)8 (D)9 6-n-08 1 2 ※
3 4 4-2-30 0 31 4-2-31 31 31. 40 6 3 (A)600 cm3 (B) 700 cm3 (C) 800 cm3 (D) 900 cm3 6-n-13 ( 6-s-06) 1 2
3 1 2 4 4-2-31 1.2 32 4-2-32 32 50 1 32~33 32. (A) 520 (B) 530 (C) 540 (D) 550
6-s-02 1 2 3 4 33 4-2-33 33 33. 20 1 AD (A) 6.05 (B) 6.15 (C) 6.25
(D) 6.35 6-s-02 1 2 3 2 4 4 34 4-2-34 34
34~35 34. 50 (A) 12 7 (B) 24 7 (C) 8 1 (D) 16 1 6-d-01 1 2 3 4 4-2-34 2 3 1. 50 饋. 50 3. 60 100 1. 饋.
35 4-2-35 35 35. 1200 (A)350 (B)360 (C) 370 (D) 380 6-d-01 1 2 4 2 3 4 4-2-35
35 4-3-1 .79 .85 .63 .68 .68 .87 .88 .77 .8 .64 N .73 .76 .82 .48 .87 .55 .42 S .78 .65
4-3-1 .75 A .78 .77 D .5 .5 4-3-1 .76 .65 .78 . 5 3 – 11 34 35 34 35 27 B 45% 35 47
11 990602A 晤談者:請說出這題你是如何解題的? A 生:題目問白球出現的機率,因為白球在題目的第 2 個,所以是機率 2 1 。 晤談者:所以你認為白球的取球順序是第二個,所以機率 2 1 ? A生:對阿。 晤談者:那你覺得取出一球拿到紅球的機率是多少? A生: 3 1 。 晤談者:那你覺得本題題目色球出現的順序跟機率有關囉? A生:對阿。 34 990602B 晤談者:為什麼這一題你選擇B,你是怎麼計算的? B生:題目問說可以賺50元,而規則有說射中偶數可拿回50元。 晤談者:然後呢? B生:所以我就數了一下,全部共有24格,而偶數有7格,所以就是 24 7 。 晤談者:那你知道淨賺的意思嗎? B生:知道阿。 晤談者:那請你說說看? B生:恩.恩.恩.就是可以拿回的錢。
– 13 32 33 13 33 C 38 13 990602D 晤談者:請你說說看這一題你為什麼選 C? D 生:因為比例尺是 1:100,所以是 1:100=1:□,□=100。 晤談者:所以你認為 100 就是這一題的答案囉? D 生:對阿。 晤談者:那你有發現這一題選項裡面有公尺和公里兩種單位? D 生:有阿。 晤談者:那你覺得不同單位跟此題的答案會有關聯嗎? D 生:不太清楚,我覺得 100 公尺蠻合理的。 32 990602F 晤談者:請你說說看這一題你是怎麼做的? F 生:用 2+4 然後去乘以 1.5 在除以 2。 晤談者:所以你算出來的答案就是周長囉? F 生:對阿。 33 .47 2 1 2 13 C
– 9 19 26 29 9 19 26 29 30 29 B 28 29 990602C 晤談者:請你說說看這題你是如何解題的? C 生:齒輪一和齒輪二的比的齒輪比為 4:3,所以 4:3=12:□,□=9。 晤談者:好,繼續算。 C 生:齒輪二和齒輪三的比的齒輪比為 5:8,所以 5:8=9:□,□=14.4。 晤談者:然後呢? C 生:而選項 D 為 12,最接近 14.4,所以我選擇 D。 晤談者:那你覺得此題中齒輪數愈多,所轉的圈數就愈多? C 生:不對。 晤談者:那你為什麼列出 4:3=12:□,這個式子? C 生:不就是這樣比嗎,甲比乙=甲比乙 – 31 42
31 990602E 晤談者:請你說說看這題你是如何解題的? E 生:我先算 40×40×40=64000 晤談者:然後呢? E 生:嗯!3÷6=0.5 晤談者:3÷6=0.5,為什麼這麼算? E 生:6 隻魚下降 3 公分,平均 1 隻魚下降 0.5 公分。 晤談者:接下來你怎麼算? E 生:就用 64000×0.5=32000,然後 32000÷6 但是除不盡。 晤談者:那你怎麼選 A? E 生:因為一條魚體積應該不大吧,就選最小的!
.40 .80 P .40 .80 25 71.43 s Cronbach' α SPSS12.0 α .891 .30 .39 6 .40 25 88.57
1 2 3 4 5 6 7 9 12 18 19 20 21 24 26 30 8 11 14 16 17 22 23 25 28 33 10 13 15 27 29 31 32 34 35
... ... G.S.P.
TestGraf 98
1999 -2009 Linn, R. L. Miller, M. D 2005 1995 2002 1995 2001 2006 2000 22-28 2002 (Hopkins, K. D., 2001) 2002 2001 2005
1989 B. S. Bloom G. F. Madaus J. T. Hastings 2009 2006 (1984) 2005 -2001 2003 : 2008 2008 2004 (2001)
Gary D.Borych&Martin L.Tombari 2006
2008
1999
2004 Testgraf98
93-104
1995
3 1-13
2002
Ebel, R. L. & Frisbie, D. A. (1991). Essentials of educational measurment(5rd ed.). Englewood Cliffs, N.J:Prentice-Hall.
Glaser, R. 1962 . Psychology and instructional technology. In R. Glaser(ED.),
Training,research and education. Pittsburgh: University of Pittsburgh Press.
Linn, R. L. (1994). Performance assessment:Policy promises and technical measure-
ment standards. Educational Researcher, 23(9), 4-14.
Ramsay, J. O. ( 1991 ) . Kernel smoothing approaches to nonparametric
1. (A) 12 (B) 25 (C) 6000 (D) 2300 2. 5 6 5 ÷ 3 7 3 × 2 5 2 (A) 4 24 1 (B) 4 12 1 (C) 4 6 1 (D) 4 3 1 3. (A) (B) (C) (D)
4.5 6 8 5 6 34 (A) 4 (B) 5 (C) 6 (D) 7 5. 13 3 2 (A)65 (B)68 (C)75 (D)78 6. (A) 2 3 (B) 2 4 (C) 2 3 (D) 2 4
7. (A)2046300 (B)20046300 (C)20040630 (D)20004630 8. 3
Jeter A-rod Posada
24 20 24
8 3 6
Jeter A-rod Posada
(A) Jeter (B) A-rod (C) Posada (D)
9.
(A) 4 7 8 12
(B) 12 30 36 63
(C) 104 117 8 9
10. (A) 30π (B) 40π (C) 50π (D) 60π 11. (A) 2 1 (B) 3 1 (C) 4 1 (D) 5 1 12. 10 18 10 (A) 78 (B) 80 (C) 82 (D) 84
13. 1 100 1 (A)1 (B)10 (C)100 (D)1 14. 3 10 0.2 500 (A) (B) (C) (D) 15. (A) 86 (B) 83.8 (C) 79 (D) 84.6 16. A 8 (A) 1 (B) 2 (C) 3 (D) 4 90 92 80 82 88 86 88 66 78 96 78 84 70 76 88 80 90 88 83 82
17. (A) (B) (C) (D) 18. (A) (B) (C) (D) 2 17 3 22 2 36 2 18 3 33 2 45 2 34 3 14 2 29 2 24 3 17 2 29
19. (A) (B) (C) (D) 20. 24 6 (A) 4 4 (B) 4 3 (C) 4 2 (D) 4 1 21. (A) 66 (B) 68 (C) 70 (D) 72 22. 3 4 5 (A) (B) (C) (D)
23. 2 9 4 3 15 4 (A) 5 25 23 (B) 5 25 33 (C) 5 45 32 (D) 5 55 32 24. 268 (A) (B) (C) (D) 25. 2560 200 120 (A) 6 (B) 8 (C)10 (D)12 26. 1000 2 3 2 (A) 600 400 (B) 500 500 (C) 400 600 (D) 700 300
27. (A) 4 (B) 5 (C) 6 (D) 7 28. 4 90C.C. (A) 1620 (B) 1720 (C) 1820 (D) 1920 29. 4 3 5 8 12 (A) 6 (B) 8 (C) 10 (D) 12 30. 20km 4km 9 (A)6 (B)7 (C)8 (D)9 ※
31. 40 6 3 (A)600 cm3 (B) 700 cm3 (C) 800 cm3 (D) 900 cm3 50 1 32~33 32. (A) 520 (B) 530 (C) 540 (D) 550 33. 20 1 AD (A) 6.05 (B) 6.15 (C) 6.25 (D) 6.35
34~35 34. 50 (A) 12 7 (B) 24 7 (C) 8 1 (D) 16 1 35. 1200 (A)350 (B)360 (C) 370 (D) 380 1. 50 饋. 50 3. 60 100 1. 饋.
1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 1-12 ( ) 1-13 2-1 2-2 2-3 ( ) 2-4
2-5 3-1 3-2 3-3 3-4 3-5 3-6 3-7 3-8 3-9 3-10 3-11 3-12 3-13
第 1題 第 2題 第 3題 第 4題 第 5題 第 6題 第 7題 第 8題 第 9題 第 10題 第 11題 第 12題 第 13題 第 14題 第 15題 第 16題 第 17題 第 18題 第 19題 第 20題 第 21題 第 22題 第 23題 第 24題 第 25題 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 1-12 1-13 2-1 2-2 2-3 2-4 2-5
第 26題 第 27題 第 28題 第 29題 第 30題 第 31題 第 32題 第 33題 第 34題 第 35題 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 1-12 1-13 2-1 2-2 2-3 2-4 2-5
第 1題 第 2題 第 3題 第 4題 第 5題 第 6題 第 7題 第 8題 第 9題 第 10題 第 11題 第 12題 第 13題 第 14題 第 15題 第 16題 第 17題 第 18題 第 19題 第 20題 第 21題 第 22題 第 23題 第 24題 第 25題 3-1 3-2 3-3 3-4 3-5 3-6 3-7 3-8 3-9 3-10 3-11 3-12 3-13
第 26題 第 27題 第 28題 第 29題 第 30題 第 31題 第 32題 第 33題 第 34題 第 35題 3-1 3-2 3-3 3-4 3-5 3-6 3-7 3-8 3-9 3-10 3-11 3-12 3-13