國中數學第四冊 評量
TRANSCRIPT
1-1 (
) 1. (A)246810 (D) (B)1111 (C)0000
1 1 1 1 2 3 4 5
( 8-n-06N-4-04)
(
) 2. (A)aaa (B)101 (C)248
(D)2b12b32b52b7 ( 8-n-06N-4-04) ( ) 3. (A) (B) (C) 0 (D) 100 99 ( 8-n-06N-4-04) ( ) 4. anna38a220 (A) 0 (B) 0 (C) 0 (D)
( 8-n-06N-4-04)
(
) 5. (A)1-11-1 (C)abaab (B)13927 (D)235813
( 8-n-06N-4-04) ( ) 6. 0123 100 (A)99 (B)100 (C)101 (D)102
( 8-n-07N-4-04) ( ) 7. (A)6 2 14 (B) 8 (C) 10 (D) 12
( 8-n-07N-4-04) ( ) 8. 1471013 (A)2 (B) -2 (C) 3 (D) 3
( 8-n-06N-4-04) ( ) 9. 1173-1 (B) -4 (C) 3 (D) 3
(A)4
( 8-n-06N-4-04) ( ) 10. 7 (A) (B) 7 (C) 7 (D) 3.5
( 8-n-06N-4-04) ( ) 11. 3x5y4x7y5x9y (A)xy (B)2xy (C)x2y (D) x2y
( 8-n-06N-4-04) ( ) 12. n (A) n (B) n1 (C) n1 (D) n2
( 8-n-06N-4-04) ( ) 13. 199 195 (A) 1 (B) 2 (C) 3 (D) 4
( 8-n-06N-4-04) ( ) 14. (A) 300
(B) 45
0
(C) 60
0
(D) 90
0
( 8-n-06N-4-04) ( )15. (A)600
(B) 90
0
(C) 100
0
(D)108
0
( 8-n-06N-4-04) ( )16. x x (A)12 (B) 24 (C) 36 (D)48
( 8-n-06N-4-04)
(
)17. (A)17 (B) 19 (C) 23 (D)29
( 8-n-05N-4-03) ( )18. 96 5 13 5 (A) 4 (B) 5 (C) 6 (D) 7
( 8-n-06N-4-04) ( )19. aaba2b 50 (A) a49b (B)a50b (C)a51b ( 8-n-07N-4-04)
(D) 50a49b (
)20. 2 (A) 2 (B) 2 (C) (D)
( 8-n-06N-4-04) ( )21. x y (A)xy (D) (x+ y 2
(B)yx
(C)
yx 2
/
( 8-n-07N-4-04)
)22. 5 (A)5 (B) (C) 1 5
(D)10
( 8-n-06N-4-04) ( )23. 0 (A) 0 (B)
0
(C)
(D)
( 8-n-06N-4-04) ( )24. 5 2 10 (A) 42 (B)47 (C) 52 (D)57
( 8-n-07N-4-04) ( )25. 12358 9 (A) 21 (B)34 (C) 55 (D)89
( 8-n-05N-4-03) ( )26. 100110001100001 5 (A) 100001 (B)1000001 (C)10000001 (D)100000001
( 8-n-05N-4-03) ( )27. 1101001000 100 (A) 1099
(B)10
100
(C)10
101
(D)100
100
( 8-n-05N-4-03) ( )28. 11 (B) 98 1 99 1 1 1 99 (A) 2 3 4
(C)
1 100
(D)
1 101
( 8-n-05N-4-03) ( )29. 100x-100 x (A) 200 (B) -200 (C) 0 (D) -50
( 8-n-07N-4-04) ( )30. 5 600 (A) 100 (B) 120 (C) 150 (D) 180
( 8-n-07N-4-04) ( )31. (A)1 2 3 4 5 (C)-55-552 2 2 2 2
(B)
2 3 4 5
(D) 1-1-3
( 8-n-05N-4-03) ( )32. (A)15913 (B) 40-4-8 (C) -2-5-8-11-14 (D) -2-4-6-8-10 ( 8-n-06N-4-04) ( )33. 15913 72 (A) 285 (B) 289 (C) 293 (D)297
( 8-n-07N-4-04) ( ) 34.a1a2a1120a82a350 (A)a50a620 (B) a37a720 (C)a19a35a25a29 (D)a38a41a20a59
( 8-n-06N-4-04) ( ) 35. 425 258 (A)140 (B) 141 (C)142 (D)143
( 8-n-07N-4-04) ( ) 36. a1a2a3 (A)a4a 2a6 (B) a1a3a5a7a9 (C)a15a16a17a18 ( 8-n-06N-4-04) ( ) 37. 253250247 (A)85 (B)86 (C)87 (D)88 ( ( 8-n-07N-4-04) (D)a10a7a17
) 38.(A) (B)3 (C) (D) 0 ( 8-n-06N-4-04)
(
) 39. 999999 n 9 (A) n (B) n1 (C) n1 (D) 2n
( 8-n-05N-4-03) ( ) 40. 1000 17 5
(A) 22
(B) 17
(C) 59 (D) 991
( 8-n-07N-4-04) ( ) 41. a (A) 3 (B) 6 (C)3 8 1 2 1 a 1 4
(D)
8 3
( 8-n-07N-4-04) ( ) 42. 26ab ab (A)22 ( (B) 24 (C) 26 (D) 72 ( 8-n-07N-4-04)
) 43. (A)0.10.010.0010.0001 (C) 5-2-9-16 (B)1 1 1 1 10 15 20 25
(D)-6-4-2246
( 8-n-06N-4-04) ( ) 44. - 3 5 (A) -3 (B) 5 (C) 2 (D) 2
( 8-n-06N-4-04) ( ) 45. x -x (A) x1 2
(B) - x
1 2
(C) 0
(D) 2x
( 8-n-07N-4-04) ( ) 46. 2 -3 (A) 2 (B) -3 (C) 6 (D) 6
( 8-n-06N-4-04) ( ) 47.a1a2a3a4a5a6a7 a1a718 a2a3a4a7 (A) 24 (B) 36 (C) 48 (D) 60
( 8-n-07N-4-04) ( ) 48. -2abc24 abc (A) 33 (B) 34 (C) 35 (D) 36
( 8-n-07N-4-04) ( ) 49.1 1 1 xyz x y z 1 1 1 x z y
(A) (D) yx+z 2
(B)
1 1 1 x z 2y
(C)
2 1 1 x z y
( 8-n-07N-4-04) ( ) 50. (A) 0 1.D 11.D 21.D 31.D 2.C 12.C 22.A 3.B 13.D 23.C 4.B 14.C 24.B 34.B 5.C 15.D 25.C 35.C 6.A 16.A 26.C 36.D 7.B 17.C 27.A 37.B 8.C 9. B 10.A (B) 1 (C) -1 (D) 2 ( 8-n-07N-4-04)
18.D 28.B
19.A 20.C 29.C 30.B 40.A
32.B 33.A
38.C 39.A
41.D
42.B
43.C
44.A
45.C 46.D
47.B
48.A 49.C
50.B
( ) 1. - 37- 32- 27 32 (A)192 (B) 197 (C)118 (D)123
( 8-n-07N-4-04) ( ) 2. x -1-x (A) x (B) 2x (C) x1 (D) 2x1
( 8-n-07N-4-04) ( ) 3. 4 -15 12 9 15 (A)18 (B) 21 (C)20 (D)25
( 8-n-07N-4-04) ( ) 4. 147 n 253 n (A)84 (B)85 (C)86 (D)87
( 8-n-07N-4-04) ( )5. 400 500 5 3 (A)19 (B)20 (C)21 (D)22
( 8-n-07N-4-04) ( ) 6. -7abc9 abc (A) 6 (B) -6 (C) 3 (D) -3
( 8-n-07N-4-04)
(
) 7. -432-429 (A) 143 (B) 144 (C)145 (D) 146
( 8-n-07N-4-04) ( ) 8. 6 32 18 10 (A)14 (B)19 (C)20 (D)12
( 8-n-07N-4-04) ( ) 9. 5a3b -9a7b (A)7a5b (B) 4a4b (C) 2a2b (D) -ab
( 8-n-07N-4-04) ( ) 10. 2ab2a2ab 100 (A)a4ab (B) 2a98b (C) a50b (D) 2a100b
( 8-n-07N-4-04) ( ) 11. 32 18 (A)2 (B)4 (C)6 (D)8
( 8-n-07N-4-04) ( ) 12. 7 X 9 5 9 X(A)9 (B)11 ( 8-n-07N-4-04) (C)13 (D)15
(
) 13. abc 54 b (A)12 (B)15 (C)18 (D)27
( 8-n-07N-4-04) ( ) 14. n 5n2 (A) 5 (B) -2 (C) 2 (D) 3
( 8-n-07N-4-04) ( ) 15. a1a2a3a3a922a6 (A)22 (B) 33 (C) 6 (D) 11
( 8-n-07N-4-04) ( ) 16. - 289 3 (A) 96 (B) 97 (C) 98 (D) 99
( 8-n-07N-4-04) ( ) 17. -6 14 (A) 40 (B) 41 (C) 42 (D) 431 2
( 8-n-07N-4-04) ( ) 18. 60 (A) 150 (B) 300 (C) 84 (D) 54
( 8-n-07N-4-04) ( )19. f(x)4x3 f(a)f(3)f(7)f(b)
ab(A) 5 (B) 8 (C) 11 (D) 10
( 8-n-07N-4-04) ( ) 20. - - 7 (A) (5 1 3 (B) (C) 2 3 2 1 2 1 6 1 6
(D)
1 ( 8-n-07N-4-04) 2
) 21. 15 25 32 42 (A) 1 ( 8-n-07N-4-04) (B) 10 (C) 11 (D) 12
(
) 22. x y 43xy 2x3y 20 xy(A) 0 (B) 4 (C) 6 (D) 8
( 8-n-07N-4-04) ( ) 23. x5 7x1 9 x (A) (B) (C) (D)
( 8-n-07N-4-04) ( ) 24. 4 -15 12 9 (A) 8 (B) 9 (C) 10 (D) 11
( 8-n-07N-4-04)
(
) 25. abcd a b c d0
(A)a b c d (B)3a23b23c23d2 (C)abbccd (D) ( 8-n-07N-4-04 ) ( ) 26. 6 20 20 90 12 (A) 50 (B) 55 (C) 60 (D) 701 a 1 b 1 c 1 d2 2 2 2
( 8-n-07N-4-04 ) ( ) 27. 41 300 8 100 (A)15 (B) 16 (C) 17 (D) 18
( 8-n-07N-4-04 ) ( ) 28. 3 19 15 103 (A) 7 (B) 6 (C) 5 (D) 4
( 8-n-07N-4-04 ) ( ) 29. a2b 5baa b (A) 4 (B) 5 (C) 7 (D) 102 2
( 8-n-07N-4-04 ) ( ) 30. a3a a2
(A) 1
(B) - 1
(C) 2
(D) - 2 ( 8-n-07N-4-04 )
(
) 31. 18 -5 -107 (A) 24 (B) 25 (C) 26 (D) 27
( 8-n-07N-4-04 ) ( ) 32. - 35 (A) 53 (B) 542 3
(C) 55
(D) 56
( 8-n-07N-4-04) ( ) 33. 753 -6 (A)124 (B)125 (C)126 (D)127
( 8-n-07N-4-04 ) ( ) 34. n 2n5 (A) 2 (D) 3 ( (B) -2 (C) - 5 ( 8-n-07N-4-04 )
) 35. n 3n7 5 11 (A)4 (B)31 (C)40 (D)62
( 8-n-07N-4-04 ) ( ) 36. - 5xy13 xy (A) 6 (B) 8 (C) 10 (D) 11
( 8-n-07N-4-04 ) ( ) 37. 40 2 96 20 (A)48 (B)52 (C)54 (D)56 ( 8-n-07N-4-04 ) ( ) 38. 23123323623 6 (A)823 (B)923 (C)1023 (D)1523 ( 8-n-05N-4-03 ) ( ) 39. 82764n (A)n3
(B)(n1)
3
(C) (n1)
3
(D)n 1
3
( 8-n-05N-4-03 ) ( ) 40. x -7 (A)x (B)x7 (C) 7x (D) - x ( 8-n-07N-4-04 ) ( ) 41. 5162-12139 (A) - 5 ( (B) 2 (C)13 (D)9 ( 8-n-06N-4-04 )1 7
) 42. 4 (A)48 (B)36 (C)30 (D)56
( 8-n-07N-4-04 ) ( ) 43. 5 15 18 2 a d(dada) (A) (B) (C) (D) ( 8-n-07N-4-04 ) ( ) 44.20 90 54 20 (A)18 (B)20 (C)40 (D)50
( 8-n-07N-4-04 ) ( ) 45. - 4 4 144(A)42 (B)43 (C)44 (D)45
( 8-n-07N-4-04 ) ( ) 46. 35 2 90 15 (A)72 (B)76 (C)80 (D)82
( 8-n-07N-4-04 ) ( ) 47. 112233456345634 563456 500 (A) 3 (B) 4 (C) 5 (D) 6 ( 8-n-05N-4-03 )
(A)72
(B)76
(C)80 (D)82 ( 8-n-07N-4-04 )
(
) 48. -3 27 (A) 5 (D) 13 (B) 7 (C) 11
( 8-n-07N-4-04 )
(
) 49. -110-110-11 1000 (A) -1 (B) 1 (C) 0 (D) ( 8-n-05N-4-03 )
(
)50. 23571113 10 (A) 19 (B) 23 (C) 29 (D) 31 ( 8-n-05N-4-03 )
1.C 11.B 21.B 31.C 41.C
2.D 12.B 22.D 32.B 42.A
3.A 13.C 23.A 33.D 43.D
4.B 14.A 24.C 34.A 44.B
5.B 15.D 25.B 35.B 45.B
6.C 16.C 26.A 36.B 46.A
7.D 17.B 27.B 37.D 47.C
8.A 18.A 28.C 38.D 48.D
9.C 19.D 29.D 39.C 49.A
10.B 20.C 30.B 40.C 50.C
() (1) a- 4bc20 axy30z xyzb ( 8-n-07 N-4-04) (2) 2ab424ab ab ( 8-n-07 N-4-04)
(3) 3xy4x2y 2xy6xy xy ( 8-n-07N-4-04)
(4) abc ABC abc ax 2bxc0 ( 8-n-07N-4-04) (5) 2 3 4 5 2
( 8-n-07N-4-04) (6) 10 ( 8-n-07N-4-04)
(7) 591317 271217
( 8-n-07N-4-04)
(8) 22 - 4 m - 14 6 n mn x
( 8-n-07 N-4-04) (9) 8 32 ( 8-n-07N-4-04) ( 8-n-07 N-4-04) (11) -38-152361 ( 8-n-07N-4-04) (12) a b c -3 2a7 2b9 11 ( 8-n-07N-4-04) (13) 54 ( 8-n-07N-4-04) 2c
(10) 16
(14) 20 57 ( 8-n-07N-4-04) (15) 5 31 m -19 m
( 8-n-07N-4-04) (16) 1 2
1 x
1 3
x
( 8-n-07N-4-04) (17) a0 3a5 a ( 8-n-07N-4-04) (18) x ( 1 ) 500 y 100 ( 5 ) ( 10 ) 130 x (19) y ( 8-n-07N-4-04) ( 8-n-07N-4-04) (20) 550 ( 8-n-07N-4-04)
(21) - 6 9 ( 8-n-07N-4-04)
(22) f(x)3x2 f(1)f(a)f(b)f(6) a b ( 8-n-07N-4-04)
(23) a1a2a3a9 - 6 22
( 8-n-07N-4-04) (24) 25811 997995993 n n
( 8-n-07N-4-04) (25) ( 8-n-07N-4-04) (26) A1(65- 99) 2 3 A2A2 2 3 A3A4 A5A6A3 ( 8-n-07N-4-04)
(27)
( 8-n-07N-4-04) (28) 14 2 4 39 ( 8-n-07N-4-04)
(29) 4 5 16 8 24
( 8-n-07N-4-04) (30) 10 5 1
( 8-n-07N-4-04)
(31) n 5n93 ( 8-n-07N-4-04)
(32) 2 6 15 22 ( 8-n-07N-4-04) (33) 18 24 38 ( 8-n-07N-4-04) (34) x6x x2
( 8-n-07N-4-04)
(35) a b b a(ab ab) ( 8-n-07N-4-04) (36) ab
( 8-n-07N-4-04)
(37) a1a2a3 - 2 (38) 5 1 52
a 2 a5 a5 a6
2 5 3 52
( 8-n-07N-4-04)
( 8-n-07N-4-04) ( 8-n-07N-4-04)
(39) 12
(40) 2a3b5a5b8a7b 100
( 8-n-07 N-4-04) (41) mn mn m n 5m ( 8-n-07 N-4-04) (42) 13141516xx-1 x-2x-3 75 88 x ( 8-n-07N-4-04) 5n
(43) 591317201 391521 189 ( 8-n-07N-4-04) (44) ( 8-n-07N-4-04)
(45) a
3 5+ 2
b
3 5 2
a b
( 8-n-07N-4-04) (46) 2ab104a3b 2a62b a b 2 2
( 8-n-07N-4-04)
(47) 1 1 25 (1 3 5 ) 25 1 340
( 8-n-07N-4-04) (48) f(x)5x-7 f(a)3f(b)18 abc f(c) ( 8-n-07N-4-04)
(49) 111417 591317 121722 ( 8-n-07N-4-04)
(50) 17 ( 8-n-07N-4-04) 1. 262
2. 21
3. - 4 9. -
4.2 3
5. 14
6. 149
7. 20 13. 36 19. 6
8.x 12x200 14. 3 20. 41 15. 8 21. 5
10. 2
11.-38 17.15 4
12. - 4 18. 70
16. 6 2 4 3 22.7 2
23. 8
24. 200
25. 599
26. (61- 93) 32. 23 38. 2 44. 16
27. (-33)
28. 17
29. 64
30. 11
31. 19
33. 54 39. 5 22 45.5
34. - 43
35. - 1
36. 0
37. - 7 43.12
40. 299a201b 47. 27
41. 5 48. 33
42. 150 49. 60
46. 20
50. 137
12 1. 1+2-3+4+5-6+7+8-9+ 100 (A)1436 (B)1536 (C)1584 (D)1684
8-n-08N-4-05 2.? (A)1357 (B)2 + 4 + 5 + 8 + 12 (C)11+11+1+11+1+1+1 (D)1+(1+2)+(1+2+2)+(1+2+2+2) 8-n-08N-4-05 3. (A)1+2+3+4+5 (B)1-1+1-1+1 (C)2+2+2+2+2 (D)2+4+6+8+10 8-n-08N-4-05
4. 2+4+6++2n=156 n= (A)12 (B)13 (C)14 (D)15
8-n-08N-4-05 5.1 21 3 ? (A)25 (B)30 (C)50 (D)65
8-n-08N-4-05 6. 100 96002 5 ? (A) 1 (B) 3 (C)5 (D)7
8-n-08N-4-05 7. 12+8+4+0+ 20 ? (A)460 (B)480 (C)500 (D)520
8-n-08N-4-05 8. 75 20 ? (A)2 (B)3 (C)4 (D)5
8-n-08N-4-05 9. 11 86
= ()580 ()63() 98 () 242 8-n-08N-4-05 10. 33 3 3 3? (A)1485 (B)1488 (C)4455 (D)4458
8-n-08N-4-05 11. 1 100 3 = () 1880 ()1763() 1698 () 1683 8-n-08N-4-05 12. 20+17+14++ann=? (A)7 (B)8 (C)9 (D)10
8-n-08N-4-05 13. 79 4 1079 (A)2 (B)3 (C)5 (D)7
8-n-08N-4-05 14. 30 300 7 ? (A)5251 (B)5751 (C)6251 (D)12502
8-n-08N-4-05 15. 8 6 138 10 () 38 () 50 () 62 () 68
8-n-08N-4-05 16. 281420140 () 6 () 7 () 8 () 9 8-n-08N-4-05 17. 5 85 8 () 11 () 13 () 15 () 16
8-n-08N-4-05 18. 2 37 156 () 4 () 8 () 12 () 16
8-n-08N-4-05 19. 5 44 343
() 12 () 13
() 14 () 15
8-n-08N-4-05 20. 112591 () 3 () 4 ()3 ()4
8-n-08N-4-05 21. 81114 n 215 n () 9 () 10 () 11 () 12 N-4-05 22. 1 100 () 2550 () 2525 () 2500 () 2424 8-n-08N-4-05 23. 1.21.51.8 n 81 n () 18 () 20 () 22 () 24 8-n-08N-4-05 24. 15 3045 8-n-08
()6 () 15 () 24 () 30 8-n-08N-4-05 25. 10 45 abcd abcd () 35 () 55 () 70 () 110
8-n-08N-4-05 26. n Snn 3n 7 () 10 () 13 () 18 () 282
8-n-08N-4-05 27. 3719 81 () 8 () 9 () 10 () 11
8-n-08N-4-05 28. 426 126 ()12 ()8 () 6 () 8 8-n-08N-4-05 29. 5 4 20
() 340 () 420 () 430 () 860 8-n-08N-4-05 30. 6 37 117 ()5 () 1 () 2 () 9
8-n-08N-4-05 31. 156 480 ()48 ()69 ()75 ()80
8-n-08N-4-05 32. 12 48 abcde abcde () 60 () 120 () 150 () 180 8-n-08N-4-05 33.15 45 m m 165 d md () 12 () 14 () 16 () 18 8-n-08N-4-05 34. 8791959910310711111587115m
m () 8 () 6 () 5 () 4
8-n-08N-4-05 35. 7 114 () 171 () 178 () 185 () 195 8-n-08N-4-05 36. 10 100 7 ? (A)735 (B)742 (C)728 (D)721
8-n-08N-4-05 37. 3+6+9+3n234 n? (A)12 (B)13 (C)14 (D)15
8-n-08N-4-05 38. 454 (A)270 (B)280 (C)290 (D)300
8-n-08N-4-05 39. 7 31 247 ? (A)11 (B)12 (C)13 (D)14
8-n-08N-4-05 40. 100 -9600-2 ? (A)5 (B)-5 (C)8 (D)-8
8-n-08N-4-05 41. 11-13+15-17+19-21++35-37+39? (A)10 (B)15 (C)20 (D)25
8-n-08N-4-05 42. 123 103 n 1005 n? (A)5 (B)10 (C)15 (D)20
8-n-08N-4-05 43. 5 2 15 25 (A)373 (B)393 (C)453 (D)473
8-n-08N-4-05 44. 20 180 n 1000 n (A)6 (B)8 (C)10 (D)12
8-n-08N-4-05 45. a1a2a3a1050 2 () 50 () 70 () 100 () 120 8-n-08N-4-05 46. a1a2a3a4a12 a3a1016 a1a12 () 4 () 8 () 16 () 32
8-n-08N-4-05 47. a1a2a3a10100 3 () 150 () 300 () 600 () 900 8-n-08N-4-05 48. 4 52 () 280 () 292 () 304 () 324 8-n-08N-4-05 49. a1a2a3a9360 a1a9 () 36 () 40 () 72 () 80 8-n-08N-4-05
50. a1a2a3a9180 a2a8 () 20 () 40 () 80 () 100 8-n-08N-4-05
1.D 11.D 21.B 31.C 41.D 2.D 12A 22.A 32.C 42.B 3.B 13.B 23.B 33.C 43.D 4.A 14.C 24.C 34.D 44.B 5.C 6.C 15.C 16.B 25.D 26.A 35.A 36.C 45.B 46.C 7.D 17.B 27.B 37.A 47.B 8.B 9.D 10.C 18.B 19.C 20.C 28.B 29.D 30.C 38.A 39.C 40.B 48.C 49.D 50.B
1. a1a2a3a4a10 a2a98 () 40 () 56 () 72 () 80 8-n-08N-4-05 2. a1a2a3a4a15 a1a1524 () a812 () a2a1424 () a5a1024 () 180 8-n-08N-4-05 3.38 4 n n = () 19 () 20 () 21 () 22 8-n-08N-4-05 4. n an4n30 n a1a2a3an () 6 () 7 () 8 () 9 8-n-08N-4-05 5.513711 n
() 4n9 () 4n 14n() 2n 4n() 2n 7n 8-n-08N-4-05 6. 12 22 1010 () 220 () 240 () 300 () 100 2 2 2
8-n-08N-4-05 7. 350 2 44 () 10 () 11 () 12 () 13 8-n-08N-4-05 8. 10 20 130 () 10 () 8 () 5 () 3 8-n-08N-4-05 9. 37+31+25++(-53) (A) 15 () 18 ()120
()128 8-n-08N-4-05 10.-3 8 -23 15 = () 310 () 320 () 335 () 345 8-n-08N-4-05 11.-7 3 10 30 () 910 () 990 () 1035 () 1050 8-n-08N-4-05 12. 50 200 3 ()6210 () 6225 () 7035 () 7050 8-n-08N-4-05 13. 354 10 = () 180 ()170() 160 () 120 8-n-08N-4-05 14. 13 41 232 27 () 10 () 8 () 15 () 50
8-n-08N-4-05 15. 5 22 16 77 1092 () 10 () 16 () 21 () 30 8-n-08N-4-05 16. 4 7 175 n 60 n= () 9 () 10 () 11 () 12 8-n-08N-4-05 17. x 80 10 600 x () 16 () 18 () 20 () 22 8-n-08N-4-05 18. 20 a 6 () 6a () 6a () a120 () 120a 8-n-08N-4-05 19. n 1352n1 () 2n1 () n ()n1 ()n1 2 2 2
8-n-08N-4-05 20. n 172 4 n () 11 () 12 () 13 () 14 8-n-08N-4-05 21. 1 1 2 2 3 3 12 12 6 5 () 169 () 170 () 109 () 110 8-n-08N-4-05 22. 31113 ()42 ()45 ()48 ()90 8-n-08N-4-05 23.1 1 2 1 2 3 1 2 3 4 2 3 3 4 4 4 5 5 5 5 1 2 59 60 20 60
() 685 () 785 () 885 () 985 8-n-08N-4-05 24. 503 n n
() 17 () 18 () 19 () 20 8-n-08N-4-05 25. 12 13 1 1 1 2 2 2 1 3 2 3 3 3 1 4 2 4 3 4 4 4 1 5
() 78 () 88 () 90 () 92 8-n-08N-4-05 26. 8 3 5 21 () 126 () 147 () 156 () 189 8-n-08N-4-05 27.15 3 10 20 () 297 () 270 () 250 () 248 8-n-08N-4-05 28. n 3n 2n 6 20 () 1064 () 1095 () 1160 () 1235 8-n-08N-4-05 29. n 3n 5n () 3 () 5 () 6 () 142 2
8-n-08N-4-05 30. 15 255 16 296 5 () 3 () 5 ()4 () 8 8-n-08N-4-05 31. 21 11 20 21 () 105 () 210 () 420 () 840 8-n-08N-4-05 32. 100 96002 6 ()1 ()3 ()5 ()7 8-n-08N-4-05 33. 371143 () 235 () 237 () 253 () 255 8-n-08N-4-05 34. 2462n156 n () 12 () 14 () 16 () 18 8-n-08N-4-05
35. 1 1000 a b ab () 1000 () 750 () 500 () 250 8-n-08N-4-05 36. 5 22 16 77 1092 =() 24 () 23 () 22 () 21 8-n-08N-4-05 37.5 15 n n 300 n () 64 () 60 () 58 () 56 8-n-08N-4-05 38. n Sn2n n 10 () 190 () 200 () 250 () 390 8-n-08N-4-05 39. 6 3 15 () 105 () 119 () 120 () 136 8-n-08N-4-052
40. 2 59 n n2 610 n () 18 () 19 () 20 () 21 8-n-08N-4-05 41. 10 100 7500 () 100 () 200 () 300 () 500 42. n 100 2n 300 3n () 400 () 500 () 600 () 900 8-n-08N-4-05 43.AB 275 A B 15 8 () 9 () 10 () 11 () 12 8-n-08N-4-05 44. n Sn4n 3n k () 4k 3k() 4k 5k1 () 8k1 () 8k12 2 2
1 2
3 2
8-n-08N-4-05 45. 15 () 36 () 45 () 54 () 60 8-n-08N-4-05 46. 100 96002 ()3 () 3 () 6 () 12
8-n-08N-4-05 47. 100 300 5 2 () 3990 () 7980 () 8580 () 15960 8-n-08N-4-05 48. a1a2a3a9 a510 = () 900 () 700 () 180 () 90 8-n-08N-4-05 49. 13579 10 () 70 () 80 () 90 () 100 8-n-08N-4-05 50.45 6
10 = () 9 () 7 () 6 () 5 8-n-08N-4-05 1.A 11.D 21.D 31.C 41.C 2.C 12.B 22.B 32.D 42.C 3.C 13.B 23.C 33.C 43.B 4.B 14.B 24.A 34.A 44.C 5.D 15.C 25.C 35.C 45.C 6.A 16.A 26.C 36.D 46.B 7.A 17.C 27.A 37.B 47.B 8.D 18.A 28.B 38.A 48.D 9.D 19.B 29.C 39.C 49.D 10.D 20.B 30.D 40.A 50.C
1.a1a2a3a89 0a55 55? (A)a1+a890 (C)a2+a880 (B)a1a3a5a7 (D)a2222
8-n-08N-4-05 2.Sna1+a2++an(-3) Tn? (A)3SnTn (B)Tn-3Sn (C)TnSn-5 (D)TnSn-3n
8-n-08N-4-05 3. A=a1+a2++a11=111B=(a1+7)+(a2+7)++(a11+7)B () 111 () 118 () 188 ()199 8-n-08N-4-05 4. 3 6 6 12 n 200 n () 11 () 12 () 13 () 14 8-n-08N-4-05 5. 11 86 =()242 ()240 () 52 () 50 8-n-08N-4-05
6. 152 48 () 4 () 12 () 4 12 ()4 14 8-n-08N-4-05 7. 4.9 9.8 30 () 4000 () 4410 () 4200 ()4440 8-n-08N-4-05 8. 50 8 92 50 () 1150 () 1250 () 1500 ()1640 8-n-08N-4-05 9. 12 9 3 n 4
n() 9 () 8 () 7 ()6 8-n-08N-4-05 10. 5 120
() 9 () 8 () 7 ()6 8-n-08N-4-05 11. n an2n8 n Sn ()n 7n () n 7n () n 8n ()n 8n 8-n-08N-4-05 12. 1400 25 2 () 28 () 30 () 32 ()36 8-n-08N-4-05 13. 5 45 10 15 15 () 58 () 70 () 90 ()126 8-n-08N-4-05 14. n Sn3n 5n n an () 60n88 ()60n80 () 6n8 ()6n882 2 2 2 2
8-n-08N-4-05 15. 705 20 = ()350 () 450 () 550 ()650 8-n-08N-4-05 16. a1a2a3a10 a3a820 = ()300 () 200 () 120 ()100 8-n-08N-4-05 17. n Snn 2n= ()2 () 2 () 4 ()4 8-n-08N-4-05 18. 6 =2
()20 () 21 () 24 ()34 8-n-08N-4-05 19.45 6 10 = ()6 () 10 () 4 ()14 8-n-08N-4-05
20. 8 56 28 3 ()6 ()1 () 4 ()14 8-n-08N-4-05 21. a 80 10 600 a ()60 ()40 () 20 ()4 8-n-08N-4-05 22. 20 123 19 152 20 ()19 ()20 () 26 ()29
8-n-08N-4-05 23. 585552 n n ()60 ()40 () 30 ()20 8-n-08N-4-05 24. 7 252 2 ()4 ()5 () 6 ()8 8-n-08N-4-05 25. 35 13 n 6 11?
() n12 () n10 ()3 ()4 8-n-08N-4-05 26. 200 500 15 = ()5050 ()6050 () 7050 ()8050 8-n-08N-4-05 27. 1200 30 2 ()20 ()22 () 24 ()26 8-n-08N-4-05 28. 5 3 9 13 135 ? ()2 ()16 () 15 () 8-n-08N-4-05
29. n an453n n a1a2an () 14 15 () 15 16 () 16 17 () 17 18 8-n-08N-4-05 30. 585552 n
n ()20 ()30 ()36 ()40 8-n-08N-4-05 31. a1a2a3a79 a4010 ()1580 ()790 () 400 ()280 8-n-08N-4-05 32. a1a2a3a4a53106 a27 ()2 ()3 ()4 ()5
8-n-08N-4-05 33. 5 120 ()8 ()9 ()10 ()12 8-n-08N-4-05 34. 7579838791959910310791K 18212427303336394230L KL ()18 ()19 ()28 ()32 8-n-08N-4-05 35. 5 ()5 ()8 ()10 ()15
8-n-08N-4-05 36. 3 5 7 19 ? ()2 ()17 () 10 44 () 8-n-08N-4-05 37. n an2n8 ? ()2 ()8 () Snn 7n () 8-n-08N-4-052 2
38. n Sn3n 5n ? ()3 ()4 () () an6n8
8-n-08N-4-05
39. ? ()30 ()60
()180 () 8-n-08N-4-05 40. 484
? () an4n44 () 14 () n n 25 () 8-n-08N-4-05 41.42 8 28 ? () 3 () 23
() 45 () an3n44 8-n-08N-4-05 42. 25 100 26 50 725 120 = ()4180 ()4800 ()5420 ()6180 8-n-08N-4-05 43. 2 1000 = ()125050 ()175000 ()250500 ()165000 8-n-08N-4-05 44. a1a2a3a50 50 a1 a2 1 a2 a3 1 a3 a4 1 2475 a25
() 50 () 49 () 48 () 47 8-n-08N-4-05 45. 4 6 8= () 520 () 400() 310 () 200 8-n-08N-4-05 46. 1234 n 1225 n ) 49 () 50() 51 () 52 8-n-08N-4-05 47. 13579 10 = () 88 ()99() 100 () 120 8-n-08N-4-05 48. 50 -49 +48 -47 ++2 -1 () 1110 () 1275 () 1435 () 1550 8-n-08N-4-05 49. 1(12)(123)(1234) (12330) ? (A)435 (B)465 (C)490 (D)5252 2 2 2 2 2
8-n-08N-4-05
50. 3+1+(1)+(3)++( 201) ? (A) 2 (B) 20 37 (C) 9800 (D) 103 8-n-08N-4-05
1.B 11.A 21.C 31.B 41.B
2.D 3.C 4.D 12.C 13.C 14.C 22.D 23.B 24.A 32.A 33.B 34.A 42.D 43.C 44.B
5.A 15.B 25.D 35.A 45.D
6.C 16.D 26.C 36.B 46.A
7.B 17.A 27.C 37.C 47.C
8.B 18.B 28.C 38.C 48.B
9.A 19.A 29.A 39.C 49.B
10.A 20.B 30.D 40.B 50.D
2-1 1. A30B90C100D120 8-s-01s-4-01 2. A B C 180 D 180 8-s-01s-4-01 3. A30B90C100D120 8-s-01s-4-01 4. A30B80C90D120 8-s-01s-4-01 5. A2080 B7090C36157D118
62 8-s-01s-4-01 6. A B C 180 D 8-s-01 s-4-01 7. ABC AABC ABC B AB BC AC ABC CABC ABC D 8-s-01s-4-01 8. A 2,3,4 B 3,4,5 C 80 5050 D 1,1,2 8-s-01s-4-01 9. A B C 50 D 5,5,5 8-s-01s-4-01 10. A 5,5,5 B C 90 D 100
8-s-01s-4-01 11. A C
AAC BBC CAB D AB BC 8-s-01s-4-01 12. A C B
AA BB CC D 8-s-01s-4-01 13. A50,90,40 B53,98,29 C50,60,70 D 100,40,40 8-s-01s-4-01 14. A50,90,40 B53,92,35 C50,60,70 D 50,65,65 8-s-01s-4-01 15. A40,50, 90 B50,85,45 C46,91,43 D 100,30,50 8-s-01s-4-01 16. A50,90,40 B45,45,90 C60,60,60B
D 55,35,90 8-s-01s-4-01 17. A50,50,60B50,50,90 C100,26,26 D50,80,50 8-s-01s-4-01A
18. ABC AD A = CD B C ABD ACD AD BDB C D
D AB = BC 8-s-01s-4-01 19. A B C D 8-s-01s-4-01 20. ABCD AC =8 BD =6 ABCD A24 B48 C 50D60 8-s-01s-4-01 21. ABCD AC =8 BD =6 ABCD A20 B24 C 28D32 8-s-01s-4-01 22. ABCD AC =10 BD =6 ABCD
A 30B45 C60 D80 8-s-01s-4-01 23. ABCD AB =5 BD =6 A20 B 24C30 D 60 8-s-01s-4-01 24. A B C D 8-s-01s-4-01 25. ABCD O A A = C B = DB C A O D
B
AB = CD AD = BC C AO = CO OB = OD D AC = BD
8-s-01s-4-01 26. A B C D 8-s-01s-4-01
27. ABCDAB = 3 BC = 5 B
A
D
C
AD = 2 x 1
CD = 3 y x+y=
A B C D 8-s-01s-4-01 4 5 8 16 28. ABCD A = 3xB = x C A D
A45 B90 C120 D135B
8-s-01s-4-01
C
29. ABCD A A 3 D A45 B60 C120 D 135 8-s-01s-4-01
30. A B
A AC B AD C BD D BCE
8-s-01s-4-01
C D
31. A B
4
4
C D 4
4
8-s-01s-4-01 32. A B3 B C 5 A 5 D 3
C D 8-s-01s-4-01
33. ABCD AB = 9 AD = 12 AC A10 B12 C 15D 30 8-s-01s-4-01
34. ABCD AB = 6 AC = 10 AD
A B C D 8-s-01s-4-01 5 8 10 12 35. A B C D 8-s-01s-4-01 36.
A B C D 8-s-01s-4-01 37. A B C D
8-s-01s-4-01 38. A A = C B = D B AB = CD AD = BC C AO = CO OB = OD D AB // CD AD = BC 8-s-01s-4-01 39. ABCD AB // CD AB = CD A B C D 8-s-01s-4-01 40. ABCD A B C D 8-s-01s-4-01 41. ABCD A B C D 8-s-01s-4-01 42. ABCD A B C D 8-s-01s-4-01 43. A B C
D 60 8-s-01s-4-01 44. A
B
C
A B C D 8-s-01s-4-01 45. A B C D 8-s-01s-4-01 46.
A B C D 8-s-01s-4-01 47. 5 p p 3 p A B C
D 8-s-01s-4-01
48. 6 p p p A5 B6 C 7D8 8-s-01s-4-01
49. 6 p p 7 p A11 B 13C
15 D18 8-s-01s-4-01 50. 6 p p 7 p
A1 B2 C3 D 4 8-s-01s-4-01 1.A 2.A 3.B 4.D 5.D 6.D 7.D 8.C 9.C 10.C 11.B 12.A 13.C 14.B 15.A 16.B 17.D 18.D 19.B 20.A 21.A 22.A 23.B 24.D 25.D 26.B 27.A 28.D 29.A 30.D 31.B 32.C 33.C 34.B 35.A 36.C 37.C 38.D 39.A 40.B 41.C 42.A 43.D 44.B 45.B 46.C 47. C 48.A 49.B 50.A
1. O 12 80 ABA
B
16 A B16 C15 D10 3
O
8-s-01s-4-01 2. O 6 60 A 6 9 3 B 6 6 3 C 6 D 36 6 3 8-s-01s-4-01 3. O 12 80 A24B30C32 D36 8-s-01s-4-01 4. O 12 80A O AO A
B
B
16 A 24 (B 16 12 3B
O
C 15 24D 10 24
8-s-01s-4-01 5. O 6 60 A 2 + 6 B 4 + 8 C 2 + 8 D + 3 8-s-01s-4-01 6. 9 2O A
B
A1,1,2 B3,3,5 C10,10,22 D5,5,12 8-s-01s-4-01 7. 2,5,x x= A2 B5 C2 5 D 8-s-01s-4-01 a b 8. c a+b+c= A 9B10 C 12D15 8-s-01s-4-01 9. 1 16
A B C D 8-s-01s-4-01 4 8 10 16 10. OA 3B
6C 7 A O A B C D 8-s-01s-4-01 6 8 12 15 11. 10 A 5 B C D 8-s-01s-4-01 6 7 10 12. 5 5 A10 B12 C15 D20 8-s-01s-4-01 13. 8 8
A28 B32 C36 D56 8-s-01s-4-01 14. A45 B60 C 120D140 8-s-01s-4-01 15. 15 51 6
A B 10 5 C 15 D 8-s-01s-4-01 20 16. O ABCD 1 ABCD D A
O
C B
A3 B5 C2 D4 8-s-01s-4-01 17. 2 10
A40 B50 C 70D80 8-s-01s-4-01 18. 2 10 A140 B110 C115 D100 8-s-01s-4-01 19. ABC A =30 B =60 AC =6 B C A
A12 B 8 3 C 4 3 D 12 3 8-s-01s-4-01 20. ABCDE A B
E C D
A5 B7 C8 D9 8-s-01s-4-01 21.
A4 B8C 9D12 8-s-01s-4-01 22. n n 36 n= A6 B 7C8 D9 8-s-01s-4-01 23. a b a+b A B C D 8-s-01s-4-01 9 10 12 15 24. 12053
O
A
16 20 B 16 C 20 D 3 3
8-s-01s-4-01 25. 12053
O
A
22 16 17 26 + 4 B + 4 C + 2 D + 8 3 3 3 3
8-s-01s-4-01 26. ABCD AD // BC EF AB CD A E B D F C
A EF ABCD B EF // BC
C EF = ( AD + BC )
1 1 D= 2 2
8-s-01s-4-01 27. ABCD AD // BC E F ABCD AD =5 =13 EF = A E B D F C
A B C D 8-s-01s-4-01 7 9 10 11 EF
28. ABCD AD // BC E F ABCD AD =5 =10 BC =A E B D F C
A15 B18 C20 D22 8-s-01s-4-01 29. ABCD AD // BC EF AB CD EF =10=5 ABCD A E B D F C
A30 B35 C45 D50 8-s-01s-4-01
30. ABCD AB =6 CD =10 ABC =15 A D
B
C
A40 B50 C30 D60 8-s-01s-4-01 31. ABCD AB BC 2 AD 2 CD 7 ABCD A12 B18 C22 D30 8-s-01s-4-01 32. ABCDE A B
E C D
A B C D 8-s-01s-4-01 5 10 8 3 33. ABCD OAD 3 A O B C D
A12 B30 C45 D60 8-s-01s-4-01 34. ABCD AB = 2 x 5 AD = 3 x + 7 157 CD BC A 10B-13 C15 D-15 8-s-01s-4-01 35. 90
AB CD 8-s-01s-4-01 36. 90
ABCD 8-s-01s-4-01 37. ABC DE AB AC DE
A D B A' E C
A DE // BC B ADE A' DE C ADE DBA' D EA' C 8-s-01s-4-01 38. A B C D 8-s-01s-4-01 39. ABC A = 90 DE ABAC AB =3AC =4 DE =A D B E C
A5 B 2C 3D 8-s-01s-4-01 40. ABC A = 90 DE AB AC F G AD AE FI = IDGJ = JE AB =3 AC =4 IJ =
5 2
A F I D G J E B
C
A B C D 1
5 4
5 2
15 8-s-01s-4-01 8
41. A B C D 8-s-01s-4-01
42. ABCD 60 OBC A O B C D
A15 B20 C 30D35 8-s-01s-4-01 43. ABCD 80 ABC A D
B
C
A 30B40 C50 D 60
8-s-01s-4-01 44. A A B G
F C D E
A3 B4 C 5D6 8-s-01s-4-01 45. A a b 2a-b=A H G B
C E
F
D
A B C D 8-s-01s-4-01 1 -1 5 4 46. A H G B
C E
F
D
A B 40 C
D 1080 8-s-01s-4-01 47. n m a b A H G B
C E
F
D
A n=mBa3=bCa=360 D2a>b 8-s-01s-4-01 48.A H G B
C E
F
D
A40 B20 C30 D15 8-s-01s-4-01 49. AC AD BE BD CE 1 2345
A B
E C D
A120 B180 C200 D210 8-s-01s-4-01 50.A+B+C+D+E+F=A B F
C D
E
A 200B320 C360 D480 8-s-01s-4-01
1.A 2.A 3.C 4.A 5.A 6.B 7.B 8.D 9.A 10.B 11.A 12.A 13.D 14.B 15.A 16.C 17.C 18.B 19.C 20.D 21.C 22.D 23.A 24.A 25.B 26.D 27.B 28.A 29.B 30.A 31.A 32.A 33.A 34.B 35.C 36.B 37.C 38.C 39.D 40.D 41.A 42.A 43.B 44.B 45.D 46.D 47.D 48. B 49. B 50.C
1. ABCD 8-s-01s-4-01 2. O AB CD ACBD ABCD 8-s-01s-4-01
O
3. ABCD a b p ABC Q D 100 c 2a-b+c=A B P
100 Q D
A B C D 8-s-01s-4-01 300 320 450 620 4. ABCDE AC AD a A+B+C+D+E180bc
A B
E C D
Ac-5(a+b)=40Ba+b=5Cc=450Da-b=1 8-s-01s-4-01 5. ABCD EF AB CD AC EF H BD EF G GH =A E B G 8 H D F C 10
A1B2C3D4 8-s-01s-4-01 6. ABC DE // BC EF // AB AB AD =5 3 AE =6 DBFE A
D
E
B
F
C
A15 B20 C32 D36 8-s-01s-4-01
7. ABCD AB =10 AE =6 AE BC 80 ABCD A
B
E
C
A120 B90 C180 D260 8-s-01s-4-01 8. ABCDBCFECDGF A=120G=130ABE=A B C G E F D
A105 B100 C120 D130 8-s-01s-4-01 9. ABCD BEFC CFGD ABE=120 AB =10 BE =8 CDGF
A B C
D
G E F
A15 B 32 3 C 30D 40 3 8-s-01s-4-01 10. ABCD AB =8 BC A' BC =45
A' BCD' A A' B C D D'
A 33 2 B 25 C 32 2 D50 8-s-01s-4-01 11. ABCD AB =8 BC A' BC =45 A' BCE A A' B C D E D'
A 30 2 32 B 32 2 16 C 16 2 D 32 3 32 8-s-01s-4-01 12. 11 2 1
A 32 3 B 11 3 C 15 D 20 ( 8-s-01s-4-01 13. ABCD EG AB FH CD AD = 4 BC = 8 EF + GH = A E G B D F H C
A12 B16 C20 D15 8-s-01s-4-01 14. ABCD EF AB CD G H AE DF AD = 6 BC = 14 GH =A G E D H F C
B
A B C D 8-s-01s-4-01 6 7 8 10 15. ABCD A100EFB60 DEFDCA E D
B F
C
A 80B 55C50 D40
8-s-01s-4-01 16. L1//L2//L3 L4//L5//L6
L1 L2 L3 L4 L5 L6
A 7 B 8 C 9 D 8-s-01s-4-01 10 17. 1 4 2
A7 B9 C5 D6 8-s-01s-4-01 18. 1 4 3
A 3B4 C 5D6 8-s-01s-4-01
19. AB 5 BC 9 AO 4 A B O
D
C
A 24B 15 + 6 3 C20 D 10 + 6 2 8-s-01s-4-01 20.
A24 +
39 3 29 3 B24 + C24 + 6 2 D30 + 10 3 4 4
8-s-01s-4-01 21.A+B+C+D+E+F+GA B C D G
F E
A380 B360 C540 D 270
8-s-01s-4-01 22. ABC 10 A
B C
A100 B100 3 C 10 3 D 200 8-s-01s-4-01 23. ABC 10A
B C
A 48 3 B 60 3 C100 D 200 8-s-01s-4-01 24. ABC 10
A
B C
A
10 3 B5 C 10D 6 3 3
8-s-01s-4-01 25. AD // BC AOD 2BOC 8 ABCD A O D
B
C
A 100B50 C20 D18 8-s-01s-4-01 26. A B C D 8-s-01s-4-01 27. B=130C=80D=100E=70 A= A 180B160 C50 D70 8-s-01s-4-01
A B E
C
D
28. B=120D=100E=E A D
B
C
A105 B 110C100 D140 8-s-01s-4-01 29. n 35 n= A B C D 8-s-01s-4-01 7 8 9 10 30. 4 A1 1 1 1 B C D 16 4 8 12
8-s-01s-4-01 31. 2020 240 4040 A60 B120 C480 D100 8-s-01s-4-01 32.ABCD EFGH BIC EJF
A
I
D
E J F G
H
B
C
A B C D 8-s-01s-4-01 1 33. 20 10
1 2
1 3
1 4
A45 B50 C60 D 8-s-01s-4-01 34. 910 1020 A280 B420 C450 D360 8-s-01s-4-01 35. 910 1020 8 A D 80
200 214 224 B C 3 3 3
8-s-01s-4-01 36. AB AD DE EB AB 15 AB AD DE BE
A
D
E
B
A 25 B 30 C 35 D 45 8-s-01s-4-01 37. AC 3 BC 6 AB AC BC A 15 B 9 C 25 D 18 8-s-01s-4-01
A
C
B
38. A B A
B
A B C D 8-s-01s-4-01 39. A B
A
B
A B C D 8-s-01s-4-01 40. AD // BC EF AD 8 BC 12 AEFD EBCF A E B D F C
A23 B 47C910 D911 8-s-01s-4-01 41. ABCD BC = 10 CD = 8 AI = 5 2 EF = FG = 2 A 30 B36 C32 D48 8-s-01s-4-01A I E F G D
B
C
42.
6
A15 B 36C 9 3 D18 8-s-01s-4-01 43. 3
A B D>> 8-s-01s-4-01 44.
A B C D 8-s-01s-4-01 45. ABCD
A
13 11 3 9 B C D 16 16 5 64
8-s-01s-4-01
46. Aa= Bb= Ce= Dc= 8-s-01s-4-01 a b c d e
47. 12 A144 B 216 3 C 512 3 D300 8-s-01s-4-01
48. A30 B
105 95 C D15 4 4
8-s-01s-4-0125 10
60
20
49. ABCD E BC AE BO P AB 10BPE A
B E
P
O
D
C
A25 B
25 25 C D15 2 3
8-s-01s-4-01 50. ABCD 10 (A) 50B 45 + 25 C 35 D 50 + 25 8-s-01s-4-01A O
D
B
C
1.A 2.C 3.D 4.A 5.A 6.B 7.C 8. D 9.D 10.C 11.B 12.B 13.A 14.C 15.D 16.C 17.A 18.A 19.D 20.A 21.C 22.C 23.A 24.A 25.B 26.C 27. B 28.D 29.D 30.A 31.A 32.A 33.C 34.B 35.C 36.B 37.D 38.B 39.C 40.D 41.A 42.C 43.A 44.C 45.D 46.D 47.B 48.B 49.C 50.D
2-2 1. A1 B2 C0 D 8-s-10S-4-04 2. A B C D B 8-s-10S-4-04 3. A B C D8-s-10 S-4-04 4. A0 B1 C2 D3 8-s-10S-4-04 5. A B C20 D B 8-s-10S-4-04 6.
A77 B99 C88 D558-s-10 S-4-04 7.XLL MS AXL BL CM DS 8-s-10S-4-04 8. AB C D 8-s-10S-4-04 9. A B C D B 8-s-10S-4-04 10. A B C D8-s-10S-4-04 11. AB L A B 12 A L
A4 B6 C8 D10 8-s-10S-4-04 12. a b c abc A10 B11 C12 D13 8-s-10S-4-04 13. AA BM CX DN 8-s-10S-4-04 14. A B C D8-s-10S-4-04 15.
A1 B2 C3 D4 8-s-10S-4-04
16.
A2 B4 C6 D88-s-10 S-4-04 17. CD BA B
C
D
E
AA BC CD DE8-s-10 S-4-04 18. B75 75
A
E
D C B F G
H
AE BF CG DH8-s-10 S-4-04 19. AB 7 AD 5 BC 3 EF A E
D
H
C
B
F
G
A7 B5 C3 D 8-s-10S-4-04 20. A B C D 8-s-10S-4-04
21. A B C D 8-s-10S-4-04
22.12 A2 B6 C12 D168-s-10
S-4-04 23. AO BY CQ DD8-s-10 S-4-04 24.LABCDA B C D
L
A
B
C
D
8-s-10S-4-04
25. CD P Q C R
A B
D
E
T
S
A PQ B QR C RS D ST 8-s-10S-4-04 26. AP 10A A P Q D C S R
B
A5 B10 C3 D68-s-10 S-4-04 27. A' B 'C ' D ' E ' ABCDEA A ' B B ' C C ' D
D ' E E ' A ' B ' 7 D ' E ' 5 AB + DE A2 B5 C7 D12 8-s-10S-4-04 28.ABC68PQR ABCPQR A48 B24 C10 D12 8-s-10S-4-04 29. AB L A L 10 A B A10 B20 C5 D15 8-s-10S-4-04 30. A B C D 8-s-10S-4-04 31. AO BX CH DA 8-s-10S-4-04 32.
A B C D8-s-10 S-4-04 33.ABL OA 9 OB A4.5 B9 C18D3
O
A L
B
8-s-10S-4-04 34. OAB OA' B L OAB 12 OABA' A6 B12 C24 D36O
A B L
A'
8-s-10S-4-04
35.ab ca+b+c A2 B4 C7 D88-s-10 S-4-04
36. A AE B BH C BD D HDA B C D E F H G
8-s-10S-4-04 37. ABC B A 40
B
C
A 400 B 350 C 500 D1000 8-s-10S-4-04
38.
A1 B2 C3 D4 8-s-10S-4-04 39.A P
B C D S R
Q
A AB PS B CD 5 PS 10 C B = 850 Q = 850 DABCDPQRS 8-s-10S-4-04 40.L L
A
B
C
D
8-s-10S-4-04
41.L L
A
B
C
D
8-s-10S-4-04 42.
A7 B6 C8 D9
8-s-10S-4-04 43.
A
B
C
D
8-s-10S-4-04
44.A BA+B
A12 B15 C17 D20 8-s-10S-4-04 45.ABLLP
PA 12 PB A6 B8 C10 D128-s-10 S-4-04 46. A B C D 8-s-10S-4-04
47.XY X+Y A3 B4 C6 D78-s-10 S-4-04
48.
A
B
C
D
8-s-10S-4-04
49.PQLRL PQR A B C D8-s-10S-4-04
50. A B C D 8-s-10S-4-04
1.D 12.D 21.D 30.D 39.C 48.B 2.C 3.D 4.B 5.D 15.B 24.B 33.B 42.A 6.C 7.C 8.D 18.B 27.D 36.A 45.D 9.B 10.C 11.B
13.D 22.C 31.A 40.B 49.C
14.C 23.C 32.A 41.D 50.D
16.B 17.A 25.C 26.A 34.C 35.C 43.C 44.D
19.D 28.B 37.C 46.D
20.D 29.B 38.B 47.D
1. LA C
F A D B E
AB BC CD DE 8-s-10S-4-04 2.
A
B
C
D
8-s-10S-4-04
3. L
L
A B C D 8-s-10S-4-04 4. C165 165
AD BF CE DL 8-s-10S-4-04 5.
A
B
C
D
8-s-10S-4-04
6.
A6 B8 C10 D128-s-10 S-4-04 7. 21
A10.5 B21 C42 D36 8-s-10S-4-04
8.ABCD BD BCD AD = 7 AB = 2 BD = 8 A
B
D
C
A BC = 3 B CD = 8 C BCD DABCD188-s-10S-4-04 9.
A1 B2 C3 D0 8-s-10S-4-04
10.E G H
F B A C D
A DE B BC C AH D GF 8-s-10S-4-04 11.
A
B
C
D
8-s-10S-4-04
12. AB L A B 6 LO OA = 5 OAB A6 B12 C24 D48 8-s-10S-4-04
13. P x P' P' 5 8P A5 8 B5 8 C5 8 D5 88-s-10S-4-04
14.
A
B
C
D
8-s-10S-4-04
15. L1L2 O C A L1 B A L2 OA = 5 OB + OC L2 L1 A
O
A5 B8 C10 D138-s-10 S-4-04 16. AB L A B 14 CABL O OC = 24 OA A7 B14 C24 D25 8-s-10S-4-04 17. AB P OC OD O
A
B
P C D
A OA OP B OA OB C AP PB D AB OP 8-s-10S-4-04 18. AB P OC OD OA = 5 AP = 4 OB + BP O
A
B
P C D
A14 B13 C9 D8 8-s-10S-4-04 19. A B C D8-s-10S-4-04 20.
A
B
C
D
8-s-10S-4-04
21. A B C D 8-s-10S-4-04
22.
A B C D 8-s-10S-4-04 23. A B C D 8-s-10S-4-04 24.
A B C D8-s-10S-4-04
25.
A4 B8 C10 D12 8-s-10S-4-04 26. A B C D 8-s-10S-4-04 27. BC AB = 5 BC = 9
AC = 13 A
B
C
A28 B36 C44 D27 8-s-10S-4-04
28. BC AB = 5 BC = 12
AC = 13 A
B
C
A30 B48 C60 D72 8-s-10S-4-04 29. LM A LM M
PL
A
B
C
D
8-s-10S-4-04
30. LM LM
L
M
A
B
C
D
8-s-10S-4-04 31. A B C D 8-s-10S-4-04 32. A B C D 8-s-10S-4-04 33. A0 4B2 1 CABC y C 8-s-10S-4-04
A
B 34. A0 3B5 1 CABC y ABC 8-s-10S-4-04
A
B 35. ABCD AC ABC100 ACD32BAD S-4-04 8-s-10
36. ACDABCDy B (3,1) 8-s-10S-4-04
37. LMy-2xL 8-s-10S-4-04
38. M
AB = 2 CD = 3 BC = 5
A25 B50 C12.5 D30 8-s-10S-4-04
39. A7AL M
A7 B14 C21 D288-s-10 S-4-04 40. ABCD
A502 B698 C202 D398 8-s-10S-4-04
41. 4
A1 B2 C4 D8 8-s-10S-4-04 42. LBB' BB 4.6cm BC
A4.6 B2.3 C1.5 D2.7 8-s-10S-4-04
43.
AL BB ' BDL D ' L C LM D BC = B 'C ' 8-s-10S-4-04 44.
Y
A
L
A B C D 8-s-10S-4-04
45. ABC L BD = 9
ABC
A 9 3 B 27 3 C 81 3 D 243 3 8-s-10S-4-04 46. ABC L BD = 6
ABC
A 6 3 B 9 3 C12 3 D15 3 8-s-10S-4-04
47. ABCD EF
AE = 2 BF = 7 EF = 24 CD A E D
B
F
C
A17 B22 C26 D30 8-s-10S-4-04 48. ABCD EF
AE = 3 BF = 8 EF = 15 ABCDA E D
B
F
C
A75 B115 C135 D165 8-s-10S-4-04
49. ABCDABCD72
AE = 4 BF = 12A E D
B
F
C
A S-4-04
9 9 B9 C D188-s-10 4 2
50. ABCD AD = 12 AEFD35ABCDA E B D F C
A46 B70 C24 D59 8-s-10S-4-04
1.D 13.D 23.D 2.C 14.A 24.C 3.A 4.C 5.C 6.A 7.C 17.D 27.B 35. 480 43.C 18.C 28.C 8.D 19.C 29.C 9.A 11.C 12.B 22.C 32.B
15.C 25.B
16.D 26.D 34.20 42.B
20.A 30.D
21.D 31.C
33. 2 1 39.D 49.C 40.A 50.A 41.C
36.(-4,2) 44.A 45.C
37.y2 46.A
38.A 48.D
47.C
1. A L A' A 5 9 L x 0 A' A5 9 B5 9 C5 9 D5 98-s-10S-4-04 2. L1L2 O Q P L1 R P L2 PQR O L2 L1 p
O
AP BQ CR DO 8-s-10S-4-04 3. CDA(4,-1)B7,-3x CD 8-s-10S-4-04 4. L 5 x 2 y = 13 LyM M 8-s-10S-4-04
5. O5cm ABCDEF
A 57 3 B
57 3 19 C 19 D 2 2
7-n-15N-3-13 6. O17cm ABCDEF
A48 B72 C96 D192 7-n-15N-3-13
7. AC BD AB = 6 BD = 6 2 AB AD
A 9 + 9 B 9 9 C18 9 D 9 18 7-n-15N-3-13 8. L 2 x + 3 y = 5 ABA (2,-5)B-6,kO
A O B L
A(2,3) B(-2,-3) C(-2,3) D(2,-3) 7-n-15N-3-13
9. L1L2 O Q P L1 R P L2
PO = 13 PO + QO + RO L2 L1 p
O
A30 B39 C42 D53 7-n-15N-3-13 10. CDAByA (-2,5) D(4,3)BC 7-n-15N-3-13 11. L 3 x + 4 y = 15 Lx MM 7-n-15N-3-13
12. LMN ABC ABC 30 AFC
A 25 3 B
25 3 C 50 3 D12 3 2
7-n-15N-3-13 13. LMN ABC
CF = 4 3 ABC
A 4 3 B 8 3 C16 3 D 64 3 7-n-15N-3-13
14. BCDE48 AF = 3 AB = 5 BC
A B F G E
C
D
A6 B8 C10 D12 7-n-15N-3-13 15. AD = 20 CD = 15 BC = 7 ABCEF
A324 B468 C624 D720 7-n-15N-3-13
16. 32
A16 B32 C64 D72 7-n-15N-3-13 17. AB = 15 EF = 7 A
A
E
F
B
A 8 B16 C 4 D 32 7-n-15N-3-13
18. LM ?
A
B
C
D
7-n-15N-3-13 19. EBA =______7-n-15N-3-13
20. BD ABCD 40cm BD 10cm AC 2
7-n-15N-3-13 21.
A1 B2C3D 7-n-15N-3-13 22. A B C D 7-n-15N-3-13
23.
A1 B2C3D4 7-n-15N-3-13 24. 10 cmEF AD BC EF
A40 B20 C30 D15 7-n-15N-3-13 25. A L A' A 7 16 L x 2 A' x A7 B-3 C-7 D3 7-n-15N-3-13
26. A L A' A -5 -3 L y
-1 A' A-5 -1 B-5 1 C5 -1 D5 -17-n-15N-3-13 27. ()()()
A
B
C
D
7-n-15N-3-13
28. 28 127-n-15N-3-13 29. L 2 x 3 y = 8 Ly2 MM 7-n-15N-3-13
30. A0 7B2 3 C ABC y C
7-n-15N-3-13 31. AB = AC BD = CD ABB90 DAC30 DC = 15 AD A
B D
C
A15 B30 C15 3 D15 2 7-n-15N-3-13 32. BCDACE25 ACD60A CE A1A1
BD A2A1CA2
A50 B120 C170 D180 7-n-15N-3-13
33. 2
A6 B12 C24 D36 7-n-15N-3-13 34. 1
A12 B24 C36 D48 7-n-15N-3-13
35. ABCL
1
A14 B28 C36 D52 7-n-15N-3-13 36. 30cm 5cm12cm cm 2
A 195B225 C500 D780 7-n-15N-3-13
37. LM LM
A
B
C
D
7-n-15N-3-13 38. ABCD158 AD AB AD AB AP ABCD AP
7-n-15N-3-13
39. 2
A30 B60 C120 D180 7-n-15N-3-13 40. L M 1
A4 B8 C12 D16 7-n-15N-3-13 41. ()ABCDEFGH
AB BC CD DA ABCD
A HF B EG C AC D 7-n-15N-3-13 42. A DF BA DE C
EDF = 62 BDC =______
7-n-15N-3-13 43. L 7-n-15N-3-13
44. E AB E ' FE AC F ' E ' AF ' = 1640 EAF
B E
D
F A C
A 410 B 820 C 360 D 720 7-n-15N-3-13 45. BAxCA
y ABC
A15 B30 C45 D50 7-n-15N-3-13
46.
R
7-n-15N-3-13
47. AD
A16 B8 C 8 3 D16 3 7-n-15N-3-13
48. L M
7-n-15N-3-13
49. 11
360 A15 B 30 C 110 0
0
D 360
7-n-15N-3-13
50. AC ABCD AC BD O
AAOB BABDBCD C AC BD D 7-n-15N-3-13
1.B 8.C 14.A 23.B 2.D 9.B 15.B 24.C 3. 2 x 3 y = 5 4. 5 x + 2 y + 13 = 0 5.B 6.C 12.B 21.A 7.B 13.C
10. x 3 y + 13 = 0 16.B 25.B 31.B 17.B 26.B 32.C
11. 3 x 4 y 15 = 0 19. 450 28.4 20.4
18.D 27.C
22.A
29. 4 X + 3Y = 22 36.D 44.B 37.D 45.B
30.(-2,3) 38.176 46.
33.C 34.B 42.124 0 50.A
35.B 43.
39.C 47.C
40.D
41.D
8 75
48. 32 3
49.B
2-3 1.
(A) (B)(C) (D)8-s-04
S-4-07
AB CD AC 2.
B C D (A) AB CD (B) AB CD (C) AB CD (D) AB CD 8-s-04
S-4-07
3. AB AB
(A) AB (B) 2 AB (C) AB (D) AB 8-s-04
S-4-07
4. AB (A) 0 (B) 1
(C) 2 (D) 8-s-04
S-4-07
5. AB (A) 0
(B) 1 (C) 2 (D) 8-s-04
S-4-07
6. 12
r r (A) 6 (B) 6.2 (C)20 (D) 24 8-s-04 3
S-4-07
7. A A a
AMNMNb BAB A60 a7b (A) 3(B) 4(C) 7(D) 8o
8-s-04
S-4-07
8.
(A) (B) (C) (D) 8-s-04
S-4-07
9. AB AB AB
(A) 0 (B) 1 (C) 2 (D) 8-s-04 S-4-07
10. 1 ABD
(A) 1(B) 180 1(C) 2 1(D) 180 2 1
o
o
8-s-04
S-4-07
11. AD // BC AD
(A)(B) (C)(D)
8-s-04o
S-4-07
12. 64
56 8 (A) 3 (B) 4 (C) 5 (D) 6 8-s-04 S-4-07
o
o
13. AB P P
AB AB 1 AB 2
CD CD P AB C D CD CD EF EF (A) (B) (C) (D) 1 2
8-s-04
S-4-07
14. ABC AB AC BC L
L (A) AB (B) AC (C) BC (D) 8-s-04
S-4-071 AB 4
15. AB
(A) 1 (B) 2 (C) 3 (D) 4 8-s-04
S-4-07
16. (A) (B)
(C) (D) 8-s-04 S-4-07
17. BAC
(A) A AB (B) B AB (C) C (D) A
8-s-04
S-4-07
18. ABC P
8-s-04
S-4-07
(A)
(B)
(C)
(D)
19. AB C
(A) AB AB (B) AC C (C) AB C (D) AC BC
8-s-04
S-4-07
20. 10 O P
4 P L (A) 0 (B) 1 (C) 2 (D) 8-s-04
S-4-07
21. B (A) B
B DE (B) DE F (C) BF (D) BF 8-s-04 S-4-07
22. AB 10 A 6
B 8 CD ABC (A) 24(B) 30(C) 48(D) 60 8-s-04
S-4-07
23. ABCD BD
BE = EF = FG = GD P ABCD P\
(A) E(B) F(C) G(D) C
8-s-04
S-4-07
24. ABC AC P AP = BP
(A) B AC P (B) AC P (C) AB AC P (D) AB D D DP // BC AC P 8-s-04 S-4-07
25.
L AB (A) (B) (C) (D)
8-s-04
S-4-07
26. BAC
(A) D E (B) DE = DF (C)EF = DF (D) DF
1 DE 2
8-s-04
S-4-07
27. AB 16
5 (A) 2 (B) 3 (C) 4 (D) 5 8-s-04
S-4-07
28. 2 3 4 5
SSS (A) 1 (B) 2 (C) 3 (D) 4 8-s-04 S-4-07
29.
(A) AB (B) (C) P AB (D) APB
8-s-04
S-4-07
30.
(A) (B) (C) (D)
8-s-04o
S-4-07o
31. 120 75
(A) 2 (B) 3 (C) 4 (D) 5 8-s-04 S-4-07 32. ABC AB AC A
L(A) L // AB (B) L // AC (C) L // BC (D) L BC 8-s-04 S-4-07
33.
(A) (B) (C) (D)
8-s-04
S-4-07
34. (A)
35 7 (B) (C) 90 (D) 60 8-s-041 8o o
S-4-07
35.
2 (A) 2(B) 4(C) 2 (D) 4
8-s-04
S-4-07
36. AB ABCD
(A) (B) (B) (C) (C) (D) (D)
8-s-04
S-4-07
37. 32
15 (A) 3 (B) 4 (C) 5 (D) 7 8-s-04
S-4-07
38. ABC AB AC ABC (A) A BC (B) BC
(C) A (D) B 8-s-04 S-4-07
39. L AB BM ABC
L BM P (A) BC P (B) P BP C (C) P BP A (D) B BP C
8-s-04
S-4-07
40. 4 4 8 8
(A) (B) (C) (D) 8-s-04 S-4-07
41.
ABCDAAEFG(A) 30 (B) 60 (C) 90 (D) 120o o o o
8-s-04
S-4-07
42. AB
1 AB D
1 AB C 2
2 CD AB (A) (B) (C) (D) 8-s-04
S-4-07
43. (A) 0 (B) 1 (C) 2
(D) 8-s-04
S-4-07
44.
(A) 56(B) 42(C) 30(D) 288-s-04
S-4-07
45. 22.5
22.5 (A) 3(B) 4(C) 5(D) 68-s-04
S-4-07
46. CD AB AB D
(A) C BC A (B) B AC C (C) A AB C (D) D AD B
8-s-04
S-4-07
47.
P CDBC A B (A) AB CD P(B) AB C
P(C) AB D P(D) CD B P
8-s-04
S-4-07
48. (A)
(B) (C) (D) 8-s-04 S-4-07
49. C AOB OA OB
D
EF (A) C OA (B) C OB (C) C AOB (D) C OBF
8-s-04
S-4-07
50. 24 AB AC a
a (A) 8(B) 4(C) 3(D) 2 8-s-04 S-4-07
1.B 2.C 3.D 4.D 5.B 6.A 7.B 8.C 9.C 10.D 20.C 30.C 40.A 50.C
11.B 12.A 13.B 14.A 15.B 16.D 17.D 18.C 19.D 21.B 22.A 23.B 24.C 25.D 26.B 27.C 28.C 29.A 31.B 32.C 33.A 34.C 35.D 36.C 37.C 38.D 39.C 41.D 42.A 43.D 44.A 45.B 46.C 47.B 48.C 49.C
1. SSS
(A) 2 2 4 (B) 3 6 6 (C) 1 1 3 (D) 4 4 12 8-s-04
S-4-07
2. (A)
9 (B) 10 (C) 11 (D) 12 8-s-04o
S-4-07
3. ABC A90 AC 6 AB 8
A AC BC D AD BD (A)14 24 36 (B) (C) (D) 4 5 5 5
8-s-04
S-4-07
4. ABC86
o
1 B AB BC PQ 2 Q BQ T BT ABT (A) 21.5(B) 26(C) 30(D) 43
8-s-04
S-4-07o o
(A) 60 (B) 45 (C) 5.
90 (D) 135 8-s-04
o
o
S-4-07
6. (A)
8 (B) 3 (C) 3 (D) 8-s-04 S-4-07
7.
(A)P ABD (B) Q ABD (C) R ACD (D) Q BCD
8-s-04
S-4-07
8. ABC AC AB
AD AD (A) BC (B) BC (C) BC (D) A
8-s-04
S-4-07
9.
(A) (B) (C) (D) 8-s-04 S-4-07
10. ABCD AB 6 AD 8 A
r BCD r (A) 5(B) 7(C) 9(D) 11
8-s-04o
S-4-07
11. ABC C90 BC 5 AC 12
A AC AB D B BC AB E DE
(A) 5(B) 4(C) 3(D) 2
8-s-04
S-4-07
12. 511107
rr (A) 10(B) 11(C) 12(D) 13
8-s-04
S-4-07
13. ABC AB
AC BC (A) (B) (C) (D)
8-s-04
S-4-07
14. ABC AB
AC BC (A) (B) (C) (D)
8-s-04
S-4-07
15. (A) (B)
(C) (D) 8-s-04 S-4-07 16.
1 A A B C 2 BC D 3 AD (A) (B) (C) (D) 1 BC 2
8-s-04 S-4-07 17. ABC AB AC L BAC
M AC N ABC BD M BC N L XYZ ABC (A) X(B) Y(C) Z(D)
8-s-04
S-4-07
18. (A) 8
3 (B) 26 7 (C) 214 4 (D) 488-s-04 S-4-07
19. ABC A AC
BC D AD (A) AD AC (B) ADB ACB180 (C) ABC ABDo
(D) ABC ABD
8-s-04
S-4-07
20. 1 a
1 L L A 2 A A 1 3 A a A BC 4 BC ABC (A) SAS(B) SSA(C) AAS(D) ASA
8-s-04
S-4-07
21. A L L 1
A2 LBC AB AC (A) A
MM//L(B) ABC(C) ABC 30 (D) ABC 3 8-s-04o
S-4-07
22. ab ab a
b (A) (B) (C) (D)
8-s-04
S-4-07
23. ab ab
(A) (B) (C) (D)
8-s-04o
S-4-07
24. ABC60 AB 4 BC 6A
6 C 4 ABC D ABCD (A) (B) (C) (D) 8-s-04
S-4-07
25. (A)
(B) (C) (D) 8-s-04
S-4-07
26. P L P L
1 P x L A B 2 AB y Q 3 PQ (A) xy (B) xy (C) (D)
8-s-04
S-4-07
27. 3
(A) YR, XS (B) PW , QT (C) XQ,WR (D) AW , AS
8-s-04
S-4-07
28. AE A GI FI AB AD
I AE GI H (A) BI = CI (B) HG = IF (C)BI = DI (D) HG = 2 HI
8-s-04
S-4-07
29. O ABC O
OD OE OF OD OE OF
(A) O ABC(B) OB ABC (C) BC AB OBC OAB(D)OA OB OC
8-s-04
S-4-07
30. O AB
P(A) 1 2(B) 2 3(C) 3 490 (D) 1 2 3 4180o o
8-s-04
S-4-07
31. O BC
BC L ABC BD (A) A D(B) ABC DCB(C) ACD DBC(D)
30 ACD45
o
o
8-s-04
S-4-07
32. (A) (B)
(C) (D) 8-s-04 33.
S-4-07
BAC 1. A AB AC PQ 2. PQ R 3. AR 1 PQ 2
(A) (B) (C) (D) 8-s-04
S-4-07
34. 1
ABC 1 L L AB a 2 AB AB L A 1 B 2 A B C 3 AC BC ABC2 ABC (A) SAS(B) RHS(C) AAS(D) ASA
1
2
8-s-04
S-4-07
35.
(A) AB 4 AC 5 BC 8(B) AB 10 AC 15 C 50 (C) AB 13 BC 14 A90 (D) AB 4 AC 10 A50 8-s-04o o o
S-4-07
36.
(A) PC // DQ // BE (B) AC = CD = DE (C) APC AQD ABE(D) AE
8-s-04
S-4-07
37. 1 1 2
1802 2 1 ABCDEF 2 (A) CAF(B) BAF(C) CAD(D) BAE
1
2
8-s-04
S-4-07
38. L P L
(A) P MLA(B) LM 1(C) P QPA 2 2 1(D) PQ L1L1//L
8-s-04
S-4-07
39. ABC AB 17 BC 16 A BC
1 A x BC PQ 2 PQ y R 3 AR BC M AM x (A) 10x15(B) 15 x17(C) X 17(D) x 8-s-04 S-4-07
40. ABC A BC L
L// BC 8-s-04
S-4-07
(A)
(B)
(C)
(D)
41. ABC AB AC BC DEF AB
BC AC (A) D DE
F (B) E EF D (C) F DF E (D) A AD F
8-s-04
S-4-07
42.
A L P L P L A O (A) AP AP M A L M O (B) BC M AP N M O (C) AP AP M PAC N M O(D) A M L PBA N M O
8-s-04
S-4-07
43. ABC
A90 AB AC D BC AB E BDE BCA (A) AB EDE (B) D AC AB E (C) C
o
AB E DE (D) D BC AB E
8-s-04
S-4-07
44.
(A) BPQ
BPR(B) BPR B PRB(C)o
PQ = QR = PR (D) BQP PRQ180
8-s-04
S-4-07
45. ABCD AB AD B90
o
O (A) B C O (B) A B O (C) AB BC
O (D) B BC O
8-s-04
S-4-07
46. ABCD AB = AD < BC = CD
CD P BP
(A) CD P BP (B) ABC CD P(C) A AP // BC CD P BP (D) AC Q BQ CD P
8-s-04
S-4-07
47. ABCD BC ADC
O (A) OA BAD(B)1 OD OH (C) O (D) OD BD 2
8-s-04
S-4-07
48. PD, PE AB, BC AB BC
DE(A) P PA C(B) ABE D(C) B AP P(D) C BE E
8-s-04
S-4-07
49. ABCD AD // BC AB DC
(A) BD (B) BC L(C) AB CD
EF EF (D) AD BC HK HK
8-s-04
S-4-07
50. ABC AB ACL AB M BAC
LMPM BC Q (A) PA = PB (B) PC = PB (C) PA = PC (D)PQ = QC
8-s-04
S-4-07
51. A
(A) AMN (B) MN AB (C) AMB ANB(D) ANBM
8-s-04
S-4-07
52. A O B O B
O A C(A) A AB OA C (B) AB OA AB C(C) BC OA C (D) AB OA C
8-s-04
S-4-07
53. ABC C90 BC AC AC BC
o
O AB O (A) AB O(B) CO ACB AB O (C) AC AB O (D) BC AB O
8-s-04
S-4-07
54. AD BC E AC
(A) AB AC (B) DE =DE = EC (D) CD = EC
1 AB (C) 2
8-s-04
S-4-07
55. ABC AB AC AC AB
E BCE15 B(A) 50 (B) 55 (C) 60 (D) 65o o
o
o
o
8-s-04
S-4-07
56. ABC AB N
C AC M B M N O (A) AB = AC BC (B) AB BC = AC (C)AB BC AC (D) AB = AC = BC
8-s-04
S-4-07
57. AB P AB
1 P AB O 2 OP CDE PF (A) CD P F (B) PE E F (C) CD
E F (D) OC P F
8-s-04
S-4-07o
58. A A60
(A) AN = BN (B) AN = MN (C) BM = BN (D) ANBM
8-s-04
S-4-07
59. AB O BC B D BC P AP ABC
(A) BC P AP (B) OP BD BC P (C) OP // AC BC P (D) AP CAB BC P
8-s-04
S-4-07
60. AOBCD AO OB OD
P PC = PD (A) AO OD P (B) OC OD P (C) OD OD P (D) CD OD P
8-s-04
S-4-07
1.B 2.C 3.A 4.B 5.A 6.C 7.B 8.D 9.D 10.C 11.B 12.D 13.A 14.C 15.C 16.C 17.A 18.D 19.D 20.A 21.B 22.A 23.D 24.D 25.A 26.C 27.B 28.C 29.D 30.A 31.C 32.D 33.B 34.D 35.B 36.D 37.A 38.C 39.C 40.A 41.A 42.A 43.C 44.D 45.B 46.C 47.B 48.B 49.D 50.A 51.B 52.D 53.B 54.D 55.D 56.D 57.C 58.A 59.D 60.D
1. ABC
1 A AB C 2 B BC AC D 3 D AD AB E AD BE A (A) 36 (B) 45 (C)180 360 (D) 7 7
8-s-04
S-4-07
2. ABC
1 B C P 2 PD // AB PE // AC PDE ABC (A)1 1 1 1 (B) (C) (D) 9 12 6 16
8-s-04
S-4-07
3.
ABC A90
o
O AB A BC O (A) BC AB O (B) BC D D DO // AC AB O
(C) C AB O (D) B C D D DO // AC AB O
8-s-04
S-4-07
4.
ABC APQR PQR AB BC AC (A) AB BC AC PQR APQR (B) AB AC PR A BC Q APQR (C) AB AC PR PR PR BC Q APQR (D) A BC Q AQ AB AC P R APQR
8-s-04
S-4-07
5.
ABC AB P AP P BC P (A) AB P (B) AC C AB P (C) AC A BC D D AC AB P (D) A AB BC D D AB P
8-s-04
S-4-07
6.
C CE AB AD F EF BC 2 AB AEF50 EFD (A) 130 (B) 140 (C) 150 (D) 160o o o o o
8-s-04
S-4-07
7. ABC
P P AB BC AC SQP 4 FPR 9 PDE 49(A) ASPF
10(B) PQBD 14(C) PRCE 44(D) ABC 144
8-s-04
S-4-07
8. ABC P
P (A) 1 AP 2 BC M M MQ // AP AC Q3 PQ (B) 1 AP 2 AC Q3 PQ (C) 1 AP2 APC AC Q 3 PQ 3 (D) 1 AP 2 BC M M MQ // AB AC Q3 PQ
8-s-04
S-4-07
9.
L ABC A L P PAB ABC P (A) C L P BP (B) A AC L P BP (C) P B ABP BAC L P P A (D) C ACP BAC L P P A BP
8-s-04
S-4-07
10. ABCD AD 1 2
AB BC EF EF 4 DEF (A) 16(B) 8 3 (C) 12 2 (D) 4 6
8-s-04
S-4-07
11.
A O P P O A (A) 1 AP 2 AP L3 L B B AB (B) 1 AO M
B AB AO2 B AB (C) 1 AO M2 AP L M B 3 B AB (D) 1 AO M B AB AP 2 B AB
8-s-04
S-4-07
12. P ABC P
AB E BC F EP PF (A) 1 P AB BC D2 AB E BE BD 3 EP BC F 4 EF (B) 1 P AB BC D2 BC F BD DF 3 FP AB E 4 EF (C) 1 ABC L2 P L AB BC EF 3 EF (D) 1 AB E BE BP 2 EP BC F 3 EF
8-s-04
S-4-07
13.
P ABC P AB E BC F BE BF
(A) 1 B BP AB BC EF 2 EF (B) 1 AB E BE BP 2 EP BC F 3 EF (C) 1 P AB BC D2 BC F BD BF3 FP AB E 4 EF (D) 1 ABC L2 P L AB BC EF 3 EF
8-s-04
S-4-07
14. ABC AD A BC D BE AD
P AC E AE : EC 52 AP PD (A) 4(B) 5(C) 6(D) 7
8-s-04
S-4-07
15. ABCD AB 6 BC 8 E AD
1 EFHG 3 (A) 16 (B) 15 (C) 14(D) 12 2 2 2
2
8-s-04
S-4-07
2
16. Aa r
o
ECD A r AX B B r AY C C r AX D AY E DE (A) a(B) 2a(C) 3a(D) 4a
8-s-04
S-4-07
17. AB C AB
AC BC D E AD CE AB
F AD 12 BD 9 AF (A) 5(B) 6(C) 26 5
24 (D) 5
8-s-04
S-4-07
18. ABCD AB // CD D CD
ABC CD 6 BC 7 AC (A) 8.5(B) 9.5(C)85 (D) 95
8-s-04
S-4-07
19. ABCD AB 1 BC 3
SSS AB BC ABE BCF DEF (A)
10 3 + 9 10 3 9 (B) 4 4
(C)
3 5 +9 3 5 9 (D) 4 4
8-s-04
S-4-07
20.
ABCD 8 AD O BC O E P AD P
(A) 1(B) 1.5(C) 2(D) 2.5
8-s-04
S-4-07
21. L L AB
L C ABC (A) A AB L C (B) B AB L C (C) AB L C (D) AB L C
8-s-04
S-4-07
22. AC L AB AC DE
AD BD (A) A 1(B) 2 4(C) 3 4(D) 2 3
8-s-04
S-4-07
23. ABC O OA AB
OA AB D D x y DB = DA D (A) AB OA (B) COA BAO (C) AB BAO (D) AB AOC
8-s-04
S-4-07
24. ADBC
(A) BQ (B) DT (C) AT (D) SR
8-s-04
S-4-07
25. AB O CD
E A) AE CAD
E (B) CD E
(C) CD F AF F OF E
E (D) CD
8-s-04
S-4-07
26. L L ABB L
AB L C ABC (A) 5(B) 4(C) 3(D) 2
8-s-04
S-4-07o
27. AOB AOB90 O
(A) A OA C OC AOC C
OD (B) B OA
OC BOC OD (C) AB OA
AB OC OD
CD OC OD (D) CD 1 3
8-s-04
S-4-07
28. ABC O BC
AB AC DE BD = CE (A) BC A O(B) BC B O(C) AC C (D) AB BC O O
8-s-04
S-4-07
29. ABCD O BD E
ABE (A) BC F AF BO E (B) BC E(C) AD F F FE // BD AO E (D) DE
1 6
ADB AO E
8-s-04
S-4-07
30. ABCDE CD DE 2 CD
DE PD CD BP BD AC O O (A) (B) (C) (D)
8-s-04
S-4-07
31. AD BC AB BC DE // AC DF // AB (A) AEDF
(B) EF // BC (C) BDE BE = BD (D) CDF DF = CF
8-s-04
S-4-07
32. ABC P
1 BO ABC 2 P L BO AB BC DE DE BOBO DE BDE DBEO (A) 4(B) 3(C) 2(D) 1
8-s-04
S-4-07
33. ABCD
CD AB 1 CD AB CD EF 2
3 O OA O (A) EF O (B) BF EF O (C) BD EF O (D) C EF O
8-s-04
S-4-07
34. P O PA PB O AB
AOB 120 AOBP C OP OP C OAP OP C OP C
o
(A) 3(B) 2(C) 1(D) 0
8-s-04
S-4-07
35. ABC P
BDEF DE AB BC P BDEF BP BP BP B PE BP E BC AB BC F AB D P PQ // BC AB Q AB B D QD = BQ DP BC F BP BP B PE BP DE , EF P DR BC AB BC DR D BC BP E E AB BC F (A) 0 (B) 1 (C) 2 (D) 3
8-s-04
S-4-07
36. ABC
(A) BC B A (B) C (C) AAS C (D) A B BC
8-s-04
S-4-07
37. ABC AB = AC BD ABC AC D CE ACB AB E
DE // BC DE = BE = CD BOE~ COD BOE COD AEOD (A) 4(B) 3(C) 2(D) 1
8-s-04
S-4-07
38. ABCD
O ABD ACD O AB CD O AC CD O ABC CD O (A) (B) (C) (D) 8-s-04 S-4-07
39. AC O
BDE
1 AC L AC P 1 O D BE (A) AOD DOC O BE(B)
Q AQD DQC O BE(C) AD CD O BE(D) AP CP O BE
8-s-04
S-4-07
40. ABC AB D AC E
AB = AD + DE (A) BE ABC AC E E ED // BC AB D (B)
BE ABC AC E CD ACB AB D (C) AB D D ED // BC AC E (D) AB D ABC E
8-s-04
S-4-07
1.B 2.A 3.C 4.D 5.D 6.C 7.D 8.A 9.D 10.A 11.C 12.B 13.D 14.C 15.B 16.C 17.A 18.D 19.B 20.A 21.C 22.D 23.D 24.D 25.C 26.A 27.D 28.A 29.A 30.B 31.C 32.B 33.B 34.C 35.C 36.B 37.B 38.B 39.D 40.A
2-4 (
)1. (A) (B) 8-s-36S-4-03 (C) (D)
(
)2. (A) (B) 8-s-36S-4-03 (C) (D)
(
)3. 58 (A)60 (B)120(C)150 (D)600
8-s-36S-4-03 ( )4. 206 (A)60 (B)120(C)150 (D)600
8-s-36S-4-03 ( )5. 4030 (3.14) (A)18840 (B)37680 (C)75360 (D)150720
8-s-36S-4-03 ( )6. 10 10 (A) (B) (C) (D)
8-s-36S-4-03 ( )7. 30 30
(A)
(B) (C)
(D)
8-s-36S-4-03 ( )8. 336cm3 7cm12cm cm (A)7 ( (B)6 (C)5 (D)4 8-s-36S-4-03
)9. 144cm34cm12cm cm (A)5 (B)4 (C)3 (D)2 8-s-36S-4-03
(
)10. 90018 (A)40 (B)50 (C)80 (D)100
8-s-36S-4-03 ( )11. 72018 (A)40 (B)50 (C)80 (D)100
8-s-36S-4-03 ( )12. 2 (A)2 ( (B)4 (C)6 (D)8 8-s-36S-4-03
)13. 6 (A)2 (B)3 (C)4 (D)6 8-s-36S-4-03
(
)14. 6 40
(A)360 (
(B)360 (C)720 (D)720 8-s-36S-4-03
)15. 12 (A)8 (B)27 (C)64 (D)125 8-s-36S-4-03
(
)16. (A) 1 (B) 2 (C) (D)(+)2 8-s-36S-4-03 1 )17. 4 2 (A)1 (B)2 (C)4 (D)8 8-s-36S-4-033
(
(
)18. 10cm1000 cm (A)10 S-4-03 (B)50 (C)100 (D)9003
cm 8-s-36
(
)19. 2cm8 cm (A)2 (B)4 (C)6 (D)8 cm 8-s-36S-4-033
(
)20. 216cm (A)6 8-s-36S-4-03 (B)12 (C)36 (D)216 cm 3
(
)21. 27cm (A)2 S-4-03 (B)3 (C)4 (D)5 cm 8-s-36
(
)22. 5(A)5 (C)25 (D)125 8-s-36S-4-03
(B)15
(
)23. 4(A)4 (C)16 (D)64 8-s-36S-4-03
(B)8
(
)24. 403010 10 (A)2250 (B)4000 (C)9000 (D) 12000
8-s-36S-4-03 ( )25. 20 (A)2000 (C)8000 ( )26. 35 8320 (A)5 S-4-03 ( )27. 68 10420 (A)5 S-4-03 ( )28. 20% (A)1.2 (D)4 8-s-36S-4-03 ( )29. 50% 4(A)2 (D)9 8-s-36S-4-03 ( 1 )30. 700 2 25 (B)4 (C)8 (B)1.44 (C)2 (B)6 (C)7 (D)8 8-s-36 (B)10 (C)15 (D)20 8-s-36 (D) 16000 (B)4000
8-s-36S-4-03
(A)75000
(B)100000 (C)125000
(D)150000
8-s-36S-4-03 ( )31. 523 2 (A)30 ( (B)40 (C)50 (D)60 8-s-36S-4-03
)32. 8 (A)48 8-s-36S-4-03 (B)64 (C)384 (D)512
(
)33. 3 (A)9 8-s-36S-4-03 (B)27 (C)54 (D)108
(
)34. 5cm3cm1cmcm3 (A)8 (B)27 (C)64 (D)125 8-s-36S-4-03
(
)35. 5cm4cm3cmcm3 (A)8 (B)27 (C)64 (D)125 8-s-36S-4-03
(
)36. 14424 (A)4 (C)8 (D)9 8-s-36S-4-03 (B)6
(
)37. 36018 (A)10 (C)18 (D)20 8-s-36S-4-03 (B)15
(
)38. 6 96(A)2 (B)3 (C)4 (D)5 8-s-36S-4-03
(
)39. 10 200(A)3 (B)4 (C)5 (D)6 8-s-36S-4-03
(
)40. 22 (A)2 (B)4 (C)8 (D)16 8-s-36S-4-03
(
)41. 12003 (A) 10 (B)20 (C) 40 (D)60 8-s-36S-4-03
(
)42. 12003 (A) 400 S-4-03 (B)520 (C) 600 (D)920 8-s-36
(
(
1 )43. 2 2 1 1 1 (A)1(B) (C) (D) 8-s-36S-4-03 2 4 8 1 )44. 2 1 1 1 1 1 3 (A) (B) (C) (D) 8-s-36 S-4-03 4 6 12 2 )45.
(
(A) AB
(B) AE
(C) CE
(D) BE 8-s-36S-4-0
(
)46. L1L2AB ab
(A) a>b S-4-03 (
(B)a=b
(C) a BC (C) A65 (D) A80 26. AO BO 1 2 465 3A25 B30 C35 D40 27. ABC A B 3 C C 2 2 BA30 B 40 C60 D80 28. A50 C30 BDC125 BA 45 B55 C65 D70 29. 7-11 A360 B240 C160 D120 o o o o o o o o o o o o o o o o o o o ooo30. A 90 B 2 C 2 90 D 1 90 31. ABC A C Q BAC60 BCD140 AQCA35 B40 C45 D50 o o o o o o32. ABC A35 B55 AD = CD CE AB DCEA20 B25 C30 D35 o o o ooo33. 12 2235 3 A45 B55 C125 D135 o o o oo34. A B O ACBA42 B46 C84 D92 o o o o35. ABC 364 1 2 A A106 B116 C136 D164 o o o oo36. ABC 3 A2 C5 C3 B A 54oB oC 144 D 37.ABC PA = BA BC = QC A C146 PBQA64 B67 C70o o o oD73 38. 2 116 3 B86 AFB 138 2A18 B26 C32 D34 39. E30 A B C DA180 B210 C240 D270 o o o o o o o o o o o ooo 40. CB AB CD AD C46 1 2A134 B168 C178 D216 oooo41. ABC A BC D ADC AC E AB = BC DECA52 B 58 C66 D74 o o o o42. ABC A50 H BHCA120 B130 C135 D140 o o o oo43. 1 2 3 4 5A180 B270 C360 D450 o o oo44. A55 C65 B D A10 B20 C10 D20 o o oooo45. A B C D220 1A100 B120 C140 D160 o o ooo46.x y x7y y A3B5C7D11 oo47. ABC AD = BD = AC y x A902yB180yC1802yD1804y48. 135 245 330 4 5 A70 B75 C80 D105 o o o oooo49. ABC B90 CD ACBDE AC A36 1 2A54o ooB36 C36 D54 50. ABC B CO A80 BOC A40 B50 C120 D150 o o o o ooo 1 DDACB 36 CDDBC 6 DCCBA 11 DCBBA 16 CAADD 21 BCAAC 26 DCABD 31 BACAB41 DBCAC46 BDABB 1. A36 C44 E30 A B C D EA90 B180 C270o o o o o oD360 2. ABC CAB CBA D CAB CBEP ADB120 PA30 B40 C60 D80 3. DP 10 BP A5B5 2 C5 3 D8 4. ABC BAC90 AD BC 1 2 AEF ABo o o o o ooC D 5. 130 AB 8 DE A4B4 3 C4 3 2 D4 3 4 6. A B C D E FA90 B180 C270 D360 7. ABC AB = AC AD = CD = BC B A36 B40 C72 D80 o o o o o o o o o8. ABCD EBC AEDA150 B140 C130 D120 o o o o9. AB 8 ABE A8B16C8 3 D16 3 10. ABC AE = CE AD BAE B50 C30 ADEA85 B90 C95 D100 o o o o o oo 11. ABC AB = AC AD = AE BAD46 EDCA22 B23 C44 D46 ooooo 12. ABC CD = AC CAB ABC24 BADA48 B24 C20 D12 oooo13. 1 2180 B46 C54 AA36 B40 C44 D46 o o o oooo14. ABC AB = AC BC = CD = DE = EF = FA AA22.5 Bo180 o o o C20 D30 715. ABCDE BD CD ABC ACB BE CE DBC DCB A 60 BDC BECA180 B240 C270 D 360 o o o o o16. ABC D BC BD = DA = AC BAC 51 DCAA43 B49 C51 D53 o o o o o17. A48 B36 C26 D30 EA28 B30 C42 D46 o o o ooooo18. 1 2 3 4 A36 C42 OA36 B39 C42 D48 o o o ooo19. ABC DEF 30 60 90 134 2A64 B67 C69 D71 o o o o o o o o20. ABC AD = BD AB = CD = AC BAC A102 B108 C112 D120 o o o o21. ADE ABCD BECA24 B27 C30 D33 o o o o 22. ABC BE = BDCD = CF A106 o EDFA53 B56 C63 D66 23. A B C D ooooA 1 3 C A C B DB 1 2 B D A C B D24. 1 2 3 4 BOC50 A A40 B60 C70 D80 o o o oo25. ABC AD = BD = CD x A35 B30 C25 D20 o o o o26. A B C A80 B85 C90 D95 o o o o27. ABC A B 5 A2 B Bm on mnA15B20C25D30 28. ABC AF = AC BE = BC ACB 112 ECFA31 B32 C33 D34 29. ABC C ABC EDC ACB65 BDo o o o o ooA65 B130 C155 D295 o 30. ABC AB = AC AD = AE BAD40 oooo CDEA20 B30 C40 D50 31. ADEF ABC AB = AD EA90 B95 C100 D105 o o o ooooo32. A20 B70 C25 E65 1 2A160 B170 C180 D190 o o o oooooo 33. AB = AC = AD BAD124 BCDA106 B112 C118 D124 oooo34. AB = BC = CD AD = AE BE = DE C A24 B28 C32 D36 o o o o35. ABC AD BAC AD E BC F A 4 2 1 C 3 2 11 2 1 2B 4 2 1 D 2 3 4o1 236. ABC BAC70 ABCA ADE DFB CGE 150 ABCA15 B20 Co o o25 D30 o 37. ABC AB = AC 1 2 A50 oo BOCA105 B110 C115 D120 38. ABC AB AC BC DE BAC DAE150 BACA105 B110 C115 D120 o o o o ooooo39. A77 B45 E30 1 2 215 C DA107 B110 C115 D117 o o o o oooo40. A B C A180 B236 C288 D360 o o o o41. ABC AB = AC DEF abc Aba+c ac bc b+c Bb Ca Da 2 2 2 242. ABC AB = AC AD CD CD = BC B54 BACA12 B24 C36 D48 o o o1 2oo43. AB = AC BG = BH AK = KG BAC A24 B30 C36 D42 o o o o44.AB = AC A40 o AM BC AM C AM C ABCA4 B6 C8 D10 o o o o45. ABC A78 BD BE o B CD CE C BDC BECA258 B260 C262 D264 46. 178 242 336 464 A 8 2 5 6 B 1 42 3 6 7C 532 D 726 47. ABC AB = AC AB ADEB DCBx A x ABC B 45 x90 C0 x30 D ABC xo o o o o o o o o o ooooo48.EACG AF EAB BG CBDAF = AB = BG CABA10 B12ooC14 D16 49. A A8 AB = BC = CD = DE = A9B10C11D12 50. ABC AO = BO = CO BD = DO = OE = CE A ABC B OBC18o oooC BE ABC D CD AB 1 BACDD 31 CBCDA 6 DCABA 11 BDBCC 16 AABDB 21 CADDB 26 CADDA36 BCBDC 41 DCCDA46 DDBCB 3-2 ()1. ABCDE A1101234 B CDE 1234 () 290() 270() 3008-S-1 () 360()2.80110 (A) 75100 (B) 9090 401308-S-17 (C) 70 110 (D)()3. (A)5 (B)6 (C)7 (D)88-S-27 (B)10( ()4.1080 (A)8 (C)12 (D)148-S-27)5.(A) 1 (B) 2 (C) 3 (D) 4 8-S-17()6.(A) (B) 8-S-27 (C) (D)()7.(A) 60o(B) 160o(C) 140o(D)90 8-S-27 ( )8.14nn (A) 8 ( (B) 10 (C) 12 (D) 148-S-27o)9.ABCDEFGHF 8-S-27 (A) 6 (B) 7 (C) 8 (D) 9()10.70100100 (A)70 (B)80 (C)90 (D)1008-S-17()11.ABCDEABHIJK CBH (D)1448-S-27 (A)108 (B)120 (C)13212.ABCDEFG________ A 8-S-27 13.________8-S-27 14. ABCD AC AE CF AE CF GB70D100EGF________ 8-S-1715.ABCDF1________8-S-27A F B 1 C D E16. n 1315 n ________8-S-27 17.________8-S-27 18. ABCD A D FB C EBEC110AED________ 8-S-2719. ABCD 12130EAF________ 8-S-2720. ABCDE CFGD BFC ________8-S-2721.ABCDE()BAE150ABC 60PABK ________8-S-2722.ABCDEBCBED________ 8-S-2723.n,n=________ 8-S-27 24.4221________ ________8-S-17 25.ABCD,B=C=DA=222B=________ 8-S-17 26.________8-S-27 27.n140n________8-S-27 28.________8-S-27 29.n720n________________ 8-S-2730.________8-S-27 31.ABCDBCDA120B________ 8-S-17 32.n144n 8-S-27 33.135 8-S-27 34.n1620n8-S-2735.________8-S-27 36.ABCDA105D130C120B _________8-S-17 37.n7 8-S-27 38.ABCDA90C90D110B 8-S-17 39.ABCDBCDA105C 8-S-1740.3132 8-S-17 1.B 11.C 19.40 26.1080 34.11 2.D 12.4 20.9 27.9 35.360 3.B 4.A 5.C 14.165 22.135 29.69 37.1260 6.C 7.C 15.540 23.6 30.5 8.C 16.10 9.A 10.C 17.20 18.7013.360 21.150 28.2024.16040 31.80 39.8525.46 33.2032.10 40.4536.6538.70( )1. n 1620 n () 138-S-27 ( )2. () 135 () () 10 () 11 () 1245() 6 () 8-S-27 ( )3. ()()() 8-S-27 ( )4. n 4 n ()9()10()12()148-S-27 ( )5. n n ()5()6()8()108-S-27 ( )6. 2 98-S-27 ( )7. 6789 () 1 () 2 () 3 () 48-S-17 () 18 () 122() 10 () ()()8. ABCDE A2D2B5DC3DD 140E 8-S-27 ( )9.100 40 ()()()()8-S-271 4() 80() 100() 120() 200()10.()6()8()10()128-S-27 ( )11. n 135 n 7 () 8() 98-S-27 ( )12. 144 900() 1080() 1260() 14408-S-27 ( )13. ABCD A50B1102C3D (A)D80 (B)CD200 (C)CD ()B () () 6 ()C8-S-17 ( )14. n 2 3 n ( () 5 () 6 () 7 () 88-S-27)15. ABCDE E140D110C110 1234ABCD12 34 () 360() 320() 280() 1808-S-27 ( )16. ABCDE A1051234 B CDE 1234 265() 285() 3058-S-27 ( )17.A () 10() 25() 30() 35 () 245()8-S-27()18.175A40B30D () 45() 558-S-27() 25() 35()19.1234567 () 90() 150() 180() 210 8-S-27(1 1 )20. n m m n 1 1 1 1 () () () () 8-S-27 2 3 4 5()21. P E A Q (A) 160(B) 170(C) 180(D) 1908-S-27()22.8 (A) 7 8-S-27 (B) 8 (C) 9 (D) 10()23.120(A) 7 9 (D) 108-S-27 (B) 10(B) 8 (C)()24.n4n(A) 8 (D) 148-S-27(C)12()25.ABCDA=110B=85C110D (A) 65 (B) 75 (C) 85 (D) 958-S-17 (A) 8 (B) 10 (C) 12 (D)()26.156 158-S-27()27.KEROROA A (A) 180 (B) 360 (C) 540 (D) 7208-S-27 ( )28.12a12b180 12c (A) a10 (B) b10 (C) c1620 (D) a 180c8-S-27 ( )29.1181 18n n (A) 12 (B) 15 (C) 18 (D) 208-S-27 ( )30.ABCDECDOA 110B105E125COD (C) 70 (D) 808-S-27 (A) 50 (B) 60()31.PQRS PQ QR RS SP Q130S (A) 130 (B) 60 (C) 45 (D) 508-S-17()32.PBCD Q(A) 285 3608-S-17 (B) 295 (C) 245 (D)()33.n52n(A) 7 ((B) 4(C) 5(D) 68-S-27)34. (A) 117 (B) 207 (C) 243 (D) 153 8-S-27()35.ABCD657545 EAB Ao(A) 75o(B) 80o(C) 85o(D) 90 8-S-27()36.OABCDEDOEDOC (A)70o(B)66o(C)75o(D)60o8-S-27()37.ABCDEFGH IJ(A)300 8-S-27o(B) 320o(C) 360o(D)540o()38.332 2(A)72 8-S-17o(B)108o(C)115o(D)120o()39.B AABB1 4(A) 36o(B) 45 (o(C) 54o(D) 60 8-S-27o)40.ABCDA2BBC2DAC (A) 160 (B) 180 (C) 200 (D) 2408-S-1741. P A BCD Q ________ 8-S-2742. n 3 n________ 8-S-27 43.N 135N________8-S-27 44.________ 8-S-27 45. n 5 n ________8-S-27 46.n 315n________8-S-27 47. n 4 n ________ 8-S-27 48.1234567 ________8-S-2749. ABCDE C D A90 CF DF B100E130F________ 8-S-2750.FG85ABC DE________8-S-2751.ADBEC________ 8-S-2752.ABC A70B651265 DEF________8-S-2753.ABCDA(x50)B(x10)C50D(2x 70)x________8-S-17 54.ABCACDEBFC________ 8-S-2755.ABCDAC3B3DD 8-S-1756.ABCDACD756B=90A________ 8-S-17 57. BP CP AQ DQ BCD PQ________8-S-17B A DPQ C58.________________ 8-S-27 59.ABCDEBC AE BADB 65 AEC115 ADC 100 BAE________C________8-S-17 60.3x 3x 4x 4x 5x 5x ________8-S-27 61.n8 n 8-S-27 62.ABCDEC 65 E 84 B 92 A115 A0 0 0 0 0 0nD8-S-2763.1234567 8-S-2764.144 8-S-2765. ________ 8-S-27 66.n27n 8-S-275 267.ABCDA120C85A BCDA 8-S-17 68.ABCDA95B120C80D ________8-S-17 69.ABCDA95B90D120C ________8-S-17 70.ABCDA90B110C115D ________8-S-17 71.2 x 3 x 3 x 5 x 5 x x 8-S-2772.ABCDEA 110 D 80 BCE ________8-S-27 73.12________ 8-S-27 74. 120 ________ 8-S-27 75. 8-S-27 76.812 77. 8-S-27 8-S-2778.ABCDA40B120D135C ________8-S-17 79.ABCDB90C65D110A ________8-S-17 80.ABCDA95C115D130B________8-S-17 81.ABCDp BP ABC CP BCDA 80D70BPC 8-S-1782.ABCDA2xB(4x10)C(2x5)D (3x20)C8-S-17 83.3nn n 8-S-27 84.n (1) 8-S-27 (2) n1 5 4 3 1.B 11.D 20.A 29.D 38.B 46.16 53.80 59.5095 65.5 73.15 79.95 66.9 2.D 12.D 21.C 30.D 39.A 47.36 54.105 60.60 67.240 3.D 13.D 22.D 31.D 40.D 4.B 5.A 14.A 23.C 32.B 41.275 6.A 15.B 24.B 33.A 42.8 49.70 56.105 7.B 16.C 25.D 34.D 43.8 50.455 57.180 8.D 17.D 26.D 35.C 9.A 18.B 27.B 36.B 10.C 19.C 28.B 37.C 45.30 52.11044.3240 51.18048.540 55.4558.15624 63.540 71.30 64.35 72.19061.1036 68.6562.6554 69.5570.13574.4 80.8075.12112160 81.75 82.7576.32 83.677.3078.15584.130 212( )1. P BCDE Q () 78()102() 282() 3608-S-27()2.()() () () 8-S-27()3. 456 () 72() 90() 108() 1208-S-17 ( )4. (A)(B)(C)(D) 3 8-S-17 ( )5. n (A) 360(B)n3(C) n n2 ()n3180 8-S-27()6. n 120 n 8-S-27() 6 () 8 () 9 () 12()7. n n () 10 () 12 () 15 () 168-S-27()8. ABCDEBAC () 36() 72() 108 () 1208-S-27()9. x (A) 80x90 (B) 70x80 (C) 60x70 (D) 50x608-S-27()10.ABCDEDEFGEFA (A) 12 (B) 11 (C) 10 (D) 98-S-27()11.DEFo(A) 65o(B) 80o(C) 75 (D)o70 8-S-27 12.9 15________ 8-S-17 13.ABCDA80C120D_______ AB BC8-S-17 14.________8-S-27 15.________8-S-27 16. n 9 n ________8-S-27 17.________8-S-27 18.________8-S-27 19. n 22.5 n________8-S-27 20. n 213 n________ 8-S-27 21. n 113 n________ 8-S-27 22.________8-S-27 23. n 5 n ________8-S-27 24.ABCD,B+C=142C+D=136D+A=218A+ B=________8-S-17 25.34 8-S-2726.xyzA BCABC360 8-S-271 x1 y1 z 1.C 2.A 3.C 14.3 23.7 4.B 15.900 24.224 5.D 6.A 7.D 17.4 26.1 28.A9.A10.D 19.1611.C 12.108 20.15 21.1513.70 22.5016.12 25.16818.150 3-3 1. (A) SSA (B) AAS (C) RHS (D) SSS8-s-15 2. ABC AD AAB = AC = 26 cm BC = 48 cm AD cm(A) 7(B) 10(C) 12(D) 208-s-15 3. ABC BD = CD AD BC ABD ACD (A) ASA (B) SAS (C) RHS (D) SSS 8-s-15 4. ABC DEFA =D = 60 AB = AC EF = 9cmABCcm (A) 21 (B) 24 (C) 27 (D) 368-s-15 5. ABC DEFA =D = 70 AB = AC DEF (A) (B) (C) (D) 8-s-15 6. ABCDEF AB = ED AC = EF SASABC EDF (A)A =D (C)A =E (B)B =F (D)C =F8-s-15 7. 1 =2 AB = BD BC = BC ABC DBC(A) SSA 8-s-15(B) ASA(C) SAS(D) AAS 8. ABCDEFA = 80B = 40 BC = 7 F = 60 EF = 7E = (A) 40 (B) 60 (C) 70 (D) 808-s-15 9. ABC AB = AC D BC ABD ACD (A) AD BC (B) BD = CD (C)DBA =DCA(D)BAD =CAD8-s-15 10. AB = DE B =E (A) A =D (C) BC = EF (B)C =F (D) AC = DF 8-s-15 11. ABC = 60 DE = DF DBF = (A) 20 (C) 30 (B) 25 (D) 358-s-15 12. LABDL (A) DA = DB 8-s-15 13. DBAC ABD ACD (A) AB = AC (C) BD = AD (B) ABD =ACD (D) ABD =ACD=908-s-15 (B)DEA = 90 (D) AE = EB(C)DAE = 60 14. AB = BD ABC =ACD DBC (A) SSS (B) ASA (C) SSA (D) SAS 8-s-15ABC 15. ABCBC BC ABC (A) SAS (B) ASA (C) RHS (D) AAS8-s-15 16. ABCA = 40 (A) AB = AC (C) AB = BC (B) C = 100 (D) B= 708-s-15 17. ABCDEFA =D BA = ED AC = DF (A) ABCDEF(B) ABCDEF (D) ABC(C) ABCDEF DEF8-s-15 18. ABC DEFA =D = 90 AB = AC DEF (A) (B) (C) (D) 8-s-15 19. DBAC ABD ACD (A) AB = AC (B) ABD =ACD (C) BD = CD (D) ADB =ADC8-s-15 20. AB = BD ABC =DBCABC DBC(A) SSS(B) SAS(C) SSA(D) ASA8-s-15 21. AB = BD AC = CD A =D = 90BD = 6 cm AC = 8 cmABCDcm2 (A) 24 8-s-15 22. ABCDEF AB = EF BC = FD CA = DE E = 70F= 50B= (A) 50 (B) 60 (C) 70 (D) 808-s-15 23. ABCDEF BC = FD AC = ED SASABC EFD (A)A =D D8-s-15 24. ABCDEFA = 80E = 60 BC = 7 C = 40 EF = 7D = (A) 40 (B) 60 (C) 70 (D) 808-s-15 25.ABCDEFBE90 AB DE BC EF ABCDEF (A)SAS(B)SSS(C)ASA(D)RHS8-s-15 26. ABC AB AC A BC D (A) AD BC (B) AD BC (C) AD BC (D)8-s-15 27. ABCDEF (A) AB DE BC EF AC DF (B) AB DE AC DF AD (C) AB DE AC DF BF (D) AB DE ADBE8-s-15 (B)B =E (C)A =F (D)C = (B) 36 (C) 48 (D) 60 28. DEFDE DE ABC (A)SAS(B) SSS (C) ASA(D)RHS8-s-15 29. (A) (B) (C) (D) 8-s-15 30. ABCDEFADBEA 30E65F (A)85(B)65(C)20(D)408-s-15 31. (A)SAS(B)SSS(C)RHS(D)AAS8-s-15 32. AB DF AC DE ABCDEF (A)AD(B)BE (C)CF (D)BF8-s-15 33. ABCDEFAEBD AB DE ABCDEF(A)SSS(B)AAS(C) SAS(D) ASA8-s-15 34. ABCDEFAEBD (A) AB DE (B) BC EF(C) AC DF (D)CF8-s-15 35. L AB AC PBC 8 AC 10 PC 4 BC PB(A)1(B)2(C)3(D)48-s-15 36. PL PB AB PC AC AB AC PB PC 3490 AB AC AP AP ABPACP (A)RHS(B)ASA(C)SAS(D)AAS8-s-15 37. L AB PL PA PB (A) RHS(B) AAS(C) SAS(D) SSS 8-s-15 38. L PQ M PQ RM 5 PQ 24 SQ 14 PR SR (A)13(B)14(C)15(D)168-s-15 39. ABCFDEAFBDC ED108C22F(A)22(B)32(C)40(D)50 8-s-15 40. ABCFDEADBECF BC 8 DF 5 AB 10 AB DE EF (A)28(B)26 (C)25(D)248-s-15 41. DE BC AB 5 BC 6 12 AC =(A)5(B)6 (C)7(D)88-s-15 42. PQRDEFPQRDEF P30E75 (A)R75(B)D20 (C) PQ PR (D) QR EF 8-s-15 43. ABCDEFABDE DFEPQRDFPQB 50Q70 (A)R50(B)E50 (C)A70(D)D608-s-15 44. ABCDEFADBE (A)AD(B) AB DE (C) AC DF (D)CE8-s-15 45. ABCBPQ ABPCBQ (A) RHS(B)SSS(C)ASA(D) SAS 8-s-15 46. ABCDEFADBEC F AB (5x4) EF (4x2) BC 18DEF50 AC (A)14(B)15 (C)16(D)178-s-15 47. x (A) 98(B) 47(C)67(D) 57 8-s-15 48. ABCDEFADBECF AB 10 BC 6CF90 EF (A)6(B)8(C)10(D)128-s-15 49. ABCDEF BC EF AB DE ABCDEF (A)AD(B)BE (C)CF(D)8-s-15 50. ABCD BD A'BDA'BDCBD(A)(B) (C)A'DBBDC(D) A'=C 8-s-15 51. 12ADABCDCB (A)SAS(B) AAS(C) ASA(D)SSA8-s-15 52. OABAOB=90BAMHAB M AB OH AB O AB (A) OA (B) OM (C) OB (D) OH 8-s-15 53. ABC AB 3 BC 2 A90 AB 3 BC 2B30 AB 3 AC 1 BC 2 AB 3 AC 1B60 ABC (A)(B)(C)(D)8-s-15 54. (A) (B) (C) (D)8-s-15 55. L AB AB M PL (A) PA PB (B)12 (C)34 (D) PA PB = PM8-s-15 56. PMA=PMBM AB PM PAMPBMPAM PBM (A)SSS(B)SAS(C)ASA(D)RHS 8-s-15 57. AB L AB MPL PA PB PAMPBM PAMPBM (A)SSS(B) RHS(C) SAS(D) ASA 8-s-15 1.A 2.B 3.B 4.C 5.A 6.C 7.C 8.A 9.C 10.D 11.C 12.C 13.C 14.D 15.B 16.D 17.A 18.B 19.C 20.B 21.C 22.A 23.D 24.A 25.A 26.D 27.C 28.C 29.D 30.A 31.A 32.A 33.D 34.D 35.B 36.A 37.C 38.B 39.D 40.A 41.C 42.D 43.B 44.D 45.D 46.C 47.D 48.A 49.B 50.D 51.B 52.D 53.D 54.D 55.D 56.B 57.C 1. ABCDEF AB = EF BC = FD A = 70 B =F =50D =(A) 50 808-s-15 2. 1 =2 AC = BD ABC DCB (A) SAS (B) ASA (C) SSS (D) AAS 8-s-15 3. ABC DEF (A) AB = DE AC = DF BC = EF (B) AB = DE AC = DF C =F (C) AB = DE AC = DF A =D (D)A =DB =E AB = DE 8-s-15 4. ABCDEFA = (3x + 16)E = (2x 6) C = (x + 26) AB = DE B =E BC = EF F = (A) 50 (B) 55 (C) 60 (D) 65 8-s-15 5. AP BAC (A) PQ = PR (C) AQ AP 8-s-15 6. ABC AD BC MAC (B) 60(C) 70(D)(B)BAP =CAP (D)BAC(A) CD = BD (C) MC MD 8-s-15(B) AD BC (D)ABD ACD 7. (A)(B) (C) (D) 8-s-15 8. AB = BD AC = CD A =D = 90AB = 3 cm CD =4 cmABCDcm2 (A) 12 (B) 18 (C) 24 (D) 308-s-15 9. (A) DEFEF DF DE (B) AA A (C) ABCAB BC AC (D) 8-s-15 10. L AB CDL O AB (A) AOD BOD (B) ACD BCD (D) CO = DO 8-s-15 11. 220 (A) 50 (B) 60 (C) 70 (D) 808-s-15 12. AB CD EA =D = 90 AC = BD = 6 CE = 10 AB = (C) AD = BD(A) 14 (B) 16(C) 18(D) 208-s-1513. ABCDEFB =E = 90 AC = DF AB = DE AC = 39 EF = 36 (A)DEF270 (B)ABC180 (C) AB =15 (D)ABC DEFrhs8-s-15 14. CD AB AO = OB P CD (A) 1 =2 (C) PA = PB (B) 1 +3 = 80(D) AOP BOP8-s-15 15. ABCDEFGH A = 130B = 100F = 80 AB = 2x 11BC = 2y + 1 CD = 10C= 50 EF = 10 EH = x1 HG = y + 2(A) y = 5 8-s-15(B) x = 8(C) E= 60 (D) G = 100 16. ABCBPQAQB = 105PCQ = (A) 12 (B) 14 (C) 15 (D) 16 8-s-15 17. ABC DEFA =D = 60 DE = DF EF =9 cmABCcm(A) 20(B) 24(C) 27(D) 328-s-15 18. ABC AB AC AD BE A B (A) AD BC (B) AD BD (C)CBEBAD(D)ABC=EBC 8-s-15 19. (A) (B) (C) (D)8-s-15 20. ABC AB AC BC BC BADCAD AD AD AB ACSASBADCAD A BC D12 (A) (B) (C)(D)8-s-15 21. L BC A90 PC 10 AP 6PDCA (A)44(B)48(C)56(D)608-s-15 22. ABC12a PQRSTU (A)12 3 a2(B)24 3 a2 (C)36 3 a2(D)48 3 a28-s-15 23. PA PB QA QB (A)PQAPQB (B)QAPQPA (C) PQ APB (D)PQ AB 8-s-15 24. ABCC90 BD ABC DE AB AC 6 BC 8 AE 8 5 (A)3(B) 3(C) 2(D)28-s-15 25. ABC AB AC L1 AB L2BACL1 L2PL2 BC Q (A) PA PB (B) PA PC (C) PB PC (D) QB QC 8-s-15 26. 1234 AC BD 34 AB AB DABCBA ABDBAC AC BD 12DAB CBA (A)(B) (C)(D) 8-s-15 27. L BC PL AC ABC90AB 6 BC 6 3 AP (A)6(B)5(C)4(D)3 8-s-15 28. ABC CD AB BE AC AB AC ACDABE (A)SAS(B) RHS (C)SSS(D) AAS8-s-15 29. (A) (B) (C) (D) 8-s-15 30. BF ABC (1) DF EF (2)BDFBEF ______________ BDFBEF12 BF ABC (A)34 BE BD EF DF (B) BE BD BF BF EF FD (C)12 BE BD BF BF (D)34 BF BF 128-s-15 31. ABCO OBCO BC AB (A) BC AB (B) BC B (C)AB (D)C AB 8-s-15 32. ABCDEF AB DE BC EF ABCDEF (A)BE(B) AC DF (C)CF(D)AD908-s-15 33. ABC AB AC DE AC AB BD CE P (A) PE PD (B) CD BP (C) BD CE (D)ABDACE 8-s-15 34. (A) (B) (C) (D)8-s-15 35. 304 (A)4(B)6(C)8(D)98-s-15 36. (A) (B) (C) (D)8-s-15 37. ABCPQR ABCPQR a. BC QR b. CR c. AB PQ d. BQ90e. AC PR f.AP (A)abf(B)ace(C)bdf(D)bce8-s-15 38. ABCDEFABCD EF AB 4x1 BC 19 CA 4z DE 16DF 3y EF 6y2x2xyz(A)15(B)12(C)10(D)98-s-15 39. AB PQ AP90 AC PR ABC PQR (A)SAS(B)SSS(C)ASA(D)RHS8-s-15 40. ABC AD BC AB a AD (a) 3 (A)a(B) 2 a(C) 3 a(D)2 3 a 8-s-15 41. LAB P (1)P PB L C (2) PA PB PC BPC48 (A) PB = PC (B)APB18 (C)PAB42 (D)PBA1138-s-15 42. ABC (A) AB 7 AC 4A60 (B) AB 7 BC 6B90 (C)C30 AC 7 BC 4 (D)A45B75 AC 78-s-15 43. ABCDBAC ABDACD (A) AB AC (B)BADCAD (C)ABDACD (D)ADBADC8-s-15 44. ABCDEF AB DF AC DE (A)AF(B)BD (C)CE(D)BF8-s-15 45. ABCA15AB'C' 15 (A)BOB'(B)B'AC (C)OCQ(D)OQC8-s-15 46. DBAC ABD ACD (A) AB AC (B)DABDAC (C)ABDACD(D) BD CD 8-s-15 47. ABCABC123 AB BC CA (A)12 3 (B)21 3 (C) 3 21(D) 3 128-s-15 48. ABCDAL DE L BF L EF( AE AF )ADEBAF 1.ABCD AB AD 790 2. DE L BF L 5690 3. ()4.ADEBAF () (A) DE L BF L690 DE BF (B) DE L BF L59014 (C) 79012231 3 (D)790569023 8-s-15 49. ABCBDE 30-60-9045-45-90 BD BC AEC (A)105(B)120(C)135 (D)1508-s-15 50. ()ABC AB AC 39 BC 30 (1) AB AC AB AC AD ()(2) CD AC () CD AC CE ()AEC (A)45(B) 62 (C)60(D) 65 8-s-15 51. ABCB90DEF DE AB DF AC DA(A)1(B)2(C)3(D)8-s-15 52. ABCD AD CD PQ PD AB PQ PB ABPDPQ (A)ASA(B)SAS (C)AAS(D)RHS8-s-15 53. AB AC AD AE ABE ACD (A)SSS(B)SAS(C)AAS(D)ASA 8-s-15 54. BD BC ABDACD (A)BC(B)12 (C)34 (D)568-s-15 55. (A) (B) (C) (D) 8-s-15 56. ABC AB BC BQ ABC AQ 3ABC=30 BQ (A)5 (B)10 (C)20 (D)308-s-15 57. ABCL BC AD CD (A)3290 (B)4C (C)2C90 (D) 12 8-s-15 1.B 2.D 3.B 4.A 5.C 6.C 7.D 8.A 9.C 10.D11.B 12.B 13.A 14.B 15.B 16.C 17.B 18.C 19.B 20.A 21.A 22.B 23.B 24.D 25.A 26.D 27.A 28.D 29.D 30.B 31.B 32.C 33.B 34.D 35.D 36.C 37.C 38.B 39.A 40.B 41.A 42.B 43.B 44.A 45.A 46.D 47.C 48.C 49.B 50.D 51.A 52.D 53.B 54.C 55.D 56.A 57.A 1. ABC AB = AC = 10 BC = 12 AB (A) 9.2 (B)9.4 (C)9.6 (D) 9.88-s-15 2. ABCL AC L BC DAC = 5 AB = 7 BC = 6ABD (A) 11 (B) 12 (C) 13 (D) 14 8-s-15 3. AB BC AC ABCAB C AB BC AC (A) BC AB AC CF AB (B) AB BC AC (C) BC AC (D) AB AC BC 8-s-15 4. ABC AB AC ABC = 51 BAC = 3BAD ACD AD CEEAB =(A) 22 (C) 26(B) 24 (D) 288-s-15 5. ABC BD = BF CD = CE B = 40C = 50EDF =(A) 30(B) 35(C) 40(D) 458-s-15 6. L AB L BC DABC 30ACD18 AB =(A) 9(B) 10(C) 11(D) 128-s-15 7. 423 (A) 300 (B) 305 (C) 310 (D) 315 8-s-15 8. ABC AB = 12 BC = 10D BC DE AB DF AC DE + DF = 24 (A) 5 (B) 6 8-s-15 9. ABCA = 90L BC AC D AB = 6 BC = 10 CD 25 25 (B) CD = 6 (A) CD = 4 25 25 (C) CD = 3 (D) CD = 2 8-s-1565 (C) 6(D) 10 10. ABC AB AC BC BC AH () BC AM () A BC D () ()()() (A)()ASA(B)()AAS (C)()RHS(D)()ASS8-s-15 11. ABCD4 CDEADE (A)2(B)4 (C)1(D)2 3 8-s-15 12. ABCDL BC E M AE M AD F AE G (A)MB(B) AG GE (C) AB BE 8-s-15 13. 25O (A)1(B)2 (C)3(D)4 8-s-15 14. ABC BE AC CD AB BC 30 BE CD 24 AB 9 (A) 272(B) 25 (C)24(D) 168-s-15 15. ABC3a PQRSTU (A)6a(B)9a (C) 3a(D) 12a8-s-15 (D) GF GB 16. ABCA90CB B C #AC 10 AB 24 CD (A)11(B)12 169 169 (C) 12 (D) 6 8-s-15 1.C 2.C 3.C 4.C 5.D 6.D 7.D 8.C 9.A 10.C11.B 12.B 13.A 14.B 15.A 16.C3-4 1. ABCA50 0 C60 0 AB 8 cm A BC 5 cm BB70 0 C AC 7 cm DA130 0 8-s-16S-4-08 2. ABC AB 3 cm BC 7 cm AC 6 cmABC AABBCCD 8-s-16S-4-08 3. ABCA120 0 C140 0 ABC A AB B BC C AC D 8-s-16S-4-08 4. AB BC AC A AB 200BC 300B60 0 A80 0 A AC CA250 B230C210D190BAC8-s-16S-4-08 5. PQRR90 0 PQR A PQ B RQ C PR D 8-s-16S-4-08 6. PL A PA B PBL PC PC D PD 8-s-16S-4-08 ABCD7. ABCB 50 0 C60 0 AB BC C D 8-s-16S-4-08B C A8. ABC AB 3 cm BC 3 cm AC 5 cmABC AABC BBCA (CACB (DCAB 8-s-16S-4-089. PQ RS OPOQROS PQ RS Q PA PQ RS B PQ RS C PQ RS D 8-s-16S-4-080 0ORS10. PQ RS OP30 R40 PQ RS QA PQ RS B PQ RS C PQ RS D8-s-16S-4-08 P ORS11.DEFPQR DE = PQ EF = QR EQ DF PR A DF PR B DF PR C DF PR D 8-s-16S-4-0812.ABCDEF BC = EF AC = DF AB DE CF ACF BCF CCF D 8-s-16S-4-0813.DEFDEF ADEF180 BDEF CDEF D EF DF DE 8-s-16S-4-08014.ABC AB BC AC AB AC 26 BC 10A BC ()A5 B12 C14 D26 8-s-16S-4-08B 26A26 C1015.2032 A13 B25C40 D53 8-s-16S-4-0816.ABCDE AB BC BC 36 DE A18 B20 C24 8-s-16S-4-08 D36 17.ABC AP BQ CR ACB AP BQ CR A AP BQ CR B AP CR BQ C AP BQ CR D AP CR BQ 8-s-16S-4-0818.ABCDEF AB BC AC AB 8AC 14 BC 10BFEDA D B F E CA16 B18 C22 D248-s-16S-4-08 19.ABCDEF AB BC AC ADE 7 ABC A14 B19 C21 D28 2 2 2A D B F E C228-s-16S-4-0820.AB3 AACB BADB CAEB D 8-s-16S-4-08A C D BE21. ABCDE AB AC FG AD AE BC 32 cm AB 28 cm AC 20 cmAFG A8 cm B20 cmD F A G E CC24 cmBD40 cm 8-s-16S-4-0822. ABC B 30 0 C30 0 AB 15cm AC A7.5 cm B15 cmC20 cmD30 cm 8-s-16S-4-08 A AB BC AC B AC BC AB C BC AB AC D AB AC BC 8-s-16S-4-08 23. ABC B A C AB BC AC 24. ABC B65 0 A55 0 AB BC AC ABC A AB B BC C AC D 8-s-16S-4-0825. DEF DE EF E60 0 ADE BFE CF50 0 D DE DF 8-s-16S-4-0826. ABC AB A AB AC BBCC AB BC D BC AC 8-s-16S-4-0827.80 0 A40 0 B50 0 C80 0 D100 0 8-s-16S-4-08 28.43 0 A B C D68.5 0 8-s-16S-4-08 29.ABC B47 0 C53 0 A A53 0 B80 0 C95 0 D100 0 8-s-16S-4-08 30. ABCDEF AB 4 cm BC 6 cm AC 5 cm DE 5 cm EF 4 cm DF 7 cm AA E BA E CA D DA D 8-s-16S-4-0831. 9 cm16 cm A6 cm B8 cmC17 cmD24 cm 8-s-16S-4-0832.ABC AB 10 BC 90 A A BCD 8-s-16S-4-0833. DEFE90 0 DE EF D A30 0 B45 0 C60 0 D90 0 8-s-16S-4-0834. A45 0 B C120 0 D 8-s-16S-4-0835. PQRPR40 0 PQR A PQ PR B PQ RQ C PR RQ D 8-s-16S-4-0836.ABCA60 0 C40 0 ABC A BC D 8-s-16S-4-0837. ABCB54 0 C31 0 ABC A B C D 8-s-16S-4-0838. ABCB48 0 C42 0 ABC A B C D 8-s-16S-4-0839. 2 A30 0 B45 0 C60 0 D80 0 8-s-11S-4-0840. 2 A30 0 B45 0 C60 0 D90 0 8-s-11S-4-08 41.40 0 54 0 86 0 A1B2C3D 8-s-16S-4-08 42. L AB PQRLLA AR BR B AR AP C AQ BQ DAQPBQP AR Q P B8-s-16S-4-0843. L AB PLL AB M A AM BM BAPMBPM CAPMPAM D AP BP 8-s-16S-4-08A L PMB44. ABCabc Aa 0Babc Cab0 D a b c 8-s-16S-4-0845. xx7x A1B2C3.5D3.6 8-s-16S-4-0846.ABC AB AC 10 cm BC 12 cmP BC AAC B AP 6 cm C CP 8 cm DABPACP 8-s-16S-4-0847.30 -60 -90 2 2 A30 B45 C60 D120 8-s-13S-4-080 0 0 000048. 45 -45 -90 2 2 A1B2C3 D4 8-s-13S-4-0800049. 70 0 A35 0 B40 0 C50 0 D70 0 8-s-16S-4-0850.ABC B60 0 C90 0 BC 6 A AC 12 B AB 12 C AC 6 3 D AB BC 8-s-13S-4-08 1.C 11.A 21.B 31.A 41.D 2.B 12.C 22.B 32.A 42.C 3.A 13.C 23.B 33.B 43.C 4.D 14.B 24.C 34.C 44.C 5.A 15.D 25.C 35.C 45.D 6.C 16.A 26.D 36.A 46.D 7.B 17.B 27.B 37.C 47.B 8.C 18.B 28.A 38.B 48.B 9.C 19.D 29.B 39.B 49.A 10.C 20.B 30.B 40.B 50.A 1.74x115x A2B3C4D7 8-s-16S-4-08 2. AB 13 cm BC 17 cm AD 11 CD 14AC x cmxxA19 B20BA x CDC25 D26 8-s-16S-4-083.ABC AB BC 24cm AB 2 BC 9cm AC 16 cm ABC AABC BBCA (CCAB (DCBA 8-s-16S-4-084.2416 A40B44 C64 D76 8-s-16S-4-085.LPQL PQ L P A B C DAA BBQCC DD 8-s-16S-4-0806.PQR PQ = QR Q80 PQ 6 PR A4B5C6D7 8-s-16S-4-087.ABC AC 5 BC 7C AB A2 B4C6D8 8-s-16S-4-088. PQRQ PQ 15cm QR 20 cm PQ A11B15 (C18 (D22 8-s-16S-4-089. ABCB AC EAABECBE B BC CE CCBEABE DCEBCBE BA E C8-s-16S-4-080 010.PQR PQ PR P70 R40 AQR BR CR55 DQ90008-s-16S-4-080 011.ABCA120 BC44 ABC (A AB B BC C CA D 8-s-16S-4-0812.PQR PQ 9 QR 4RQPQR PR A6B7C8D9 8-s-16S-4-0813.ABCA(4x10) B(2x30) C(3x20) x000A x20 Bx32Cx40 Dx60 8-s-16S-4-08 14.ABCA(4x10) B(2x30) C(3x20) ABC A B C D 8-s-16S-4-080 0 0 0 015.DEFD(4x40) E(3x20) C 2x DE = DF DEF A40 B50 C80 D90 8-s-16S-4-080 0 0 0 016.DEF DE = DF DF < DE D AD 600 0B60 D9000C90 D120 DD120 008-s-16S-4-0817. ABC BC 13 AC 9ABC AB A4 AB 9 B9 AB 13C13 AB 22 D4 AB 22 8-s-16S-4-0818.10157 A4B5C6D7 8-s-16S-4-0819.30 -60 -90 12 A18 3 2 B36 3 2 C72 3 2 D144 2 8-s-13S-4-0800020.45 -45 -90 10 A5 3 15 B10 2 10C20 2 D25 8-s-13S-4-0800021.10 2 20 A50 B100C200D100 2 100 8-s-13S-4-0822.16 A48 B8 3 C64 3 2D8 3 8-s-13S-4-0823.4 A30 B60 C108 D120 8-s-16S-4-080 0 0 024.ABCDA AC C AB 15m BC 10m CD 11m AD 12m AC A15mD AB18m C20m D23m B C8-s-16S-4-0825.ABCABCABC A B C D 8-s-16S-4-0826.ABC BC AB CA ABC = = 5 3 6AABBCC (D8-s-16S-4-08 27. 222 ()0.40.41 () 3 5 7C1.13.42.3A1 B2 C3 D4 8-s-16S-4-08 28. 35 cm2 cm3 A10 cm B12 cmC13 cmD14 cm 8-s-16S-4-08 29. ABCC90 0 AB = 18 2 AC + BC A9 B18C18 2 D36 2 8-s-16S-4-08 30 AB AC AD BC CAD2x 0 B3x10 0 CAA20 B40 C50 D65 8-s-16S-4-080000BDC31.ABCD AB DAAC 24 BC 10 AD 13D CBDC A10 B13 C15 D26 8-s-16S-4-0832.a90a1090 a A35 B40C65D80 8-s-16S-4-0833. AD CD BD B4x2 0 A3x4 0 A A12 B40 C50 D90 8-s-16S-4-080 0 0 0A D C B34. ABC AB 8 cm BC 6 cmB20 0 C10 0 ABC A12 cm 2 B24 cm 2 C40 cm 2 D48 cm 2 8-s-16S-4-0835. ABC3A4B6CABC A BCD8-s-16S-4-08 36.ABC AB 24 cm BC 10 cm CA 26 cmABC A60 cm 2 B120 cm 2 C240 cm 2 D260 cm 2 8-s-16S-4-08 37.ABCC90 0 D AB ADC A30 B45 C90 D180 8-s-13S-4-08 38.DEF DE 8 EF 5D (A) BC D0 0 0 08-s-16S-4-08 39. DEF DE DF F (A) BCD8-s-16S-4-08 40.ABCDEF AB DE BC EF CA DF F A30 B40 C50 D60 8-s-16S-4-080 0 0 041.49 A4 B75 C14 D 97 8-s-16S-4-08 42.ABC AB 7 cm CA 6 cmBAC BC D ABC BBC C BD CD D BD CD 8-s-16S-4-0843.ABCAC270 0 ABC A BCD 8-s-16S-4-0844.ABCA70 0 C60 0 AAC BCBC BC AC D AB AC 8-s-16S-4-0845.ABCAB100 0 AB 105 0 ABC (A AB B BC C CA D 8-s-16S-4-081 346.ABCA BC10 0 ABC (A AB B BC (C CA (D1 58-s-16S-4-08 47.ABC BC 16ABC48 A AB BBCA DABC 30 8-s-16S-4-08 0 0 48.ABCAx By xy x 53 + 67 y = 0 2ABC AA BB CC 8-s-16S-4-08 49.ABC AB x BC y AC zxyz D(x 5)2 (12 y )2 (z 13)2 0ABCA25 B30C45 D608-s-16S-4-08 50.ABCC90 AD = BD B25 ACD ACCD AD A0 0A AC B CD C ADBD 8-s-16S-4-08 1.C 11.C 21.A 31.B 41.D 2.B 12.B 22.C 32.C 42.D 3.D 13.A 23.D 33.B 43.B 4.C 14.B 24.D 34.A 44.A 5.A 15.C 25.B 35.A 45.A 6.D 16.B 26.B 36.B 46.C 7.B 17.A 27.C 37.C 47.C 8.D 18.B 28.B 38.A 48.CDC9.B 19.A 29.B 39.D 49.B10.C 20.B 30.C 40.D 50.B 1.DEF DE 2 3 EF 2 DF 5 cmDEF ADBECFD 8-s-16S-4-08 2. ABC AB 12 cm BC 15 cmC A70 0 B90 0 C100 0 D120 0 8-s-16S-4-08 3.PQRQR20 0 P140 0 PQR A PQ B RQ C PR D 8-s-16S-4-08 4.ABCIABCACB AB BC AA BI > CIIB BI < CI CABICBI DCB BC8-s-16S-4-085.4x71519 xA3B5.5C8D15 8-s-16S-4-08 6.12 A255 B345 C444 D561 8-s-16S-4-0807.DEFEFF110 A DF DE B DF EF C EF DE D DE EF 8-s-16S-4-088.625689113 A5 B6 (C8 (D108-s-16S-4-08 9.58x (x 15)2 + (x 9)2 A 24 B2x24 C6 D242x8-s-16S-4-08 10.ABCA60 B55