?a.ho?mock ?? ans
DESCRIPTION
maths mock with answerTRANSCRIPT
-
by A.Ho
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2013DSE by A.Ho
1
()
1.
12 3 6 72 18
8 5 8 5
80
23
( )a b a ba b a b
a
b
=
=
2. 3 55 2
xyx
+=
5 2 3 53 2 5 5
5 53 2
y xy xx xy y
yx
y
= +
+ =
=
+
3. (a) 9a2 16b2 = (3a + 4b)(3a 4b) 2 2 2 2(b) 18 24 9 16 6(3 4 ) (9 16 )
6(3 4 ) (3 4 )(3 4 )(3 4 )[6 (3 4 )](3 4 )(6 3 4 )
a b a b a b a ba b a b a b
a b a ba b a b
+ + = +
= + +
= +
= + +
4. (a) 25400 (1 25%) $20320 + =
(b) 25400 (1 25%) $19050 =
5. (a) : 2 : 3: 6 : 9
x yx y
=
=
: 3 : 4: 6 :8
x z
x z
=
=
x : y : z = 6 : 9 : 8
(b) 6k9k 8k
9 38 3060 4
36 24 9180765
kk
k kk
=
+= +
=
(6 9 8) 76517595
SS
= + +
=
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2013DSE by A.Ho
2
6. (a) P ( 8, 1) Q (8, 5)
(b) K P PQ K (x, y) K
2 2 2 2
2 2
[ ( 1)] ( 8) ( 8 8) [ 1 ( 5)]( 1) ( 8) 272
x y
x y
+ = +
+ + =
7. (a) 4 1202 3 4 360x
=
+ + +
32 3 4 360
yx
=
+ + +
12 93
x
x
= +
=
32 3 4 3 360
90
y
y
=
+ + +=
(b)
1 1 1 1, , ,6 4 3 4
16
16
8. (a) b = 150 b = 330 (b) b b = 150
(4 3) 72
2
a
a
+ =
=
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2013DSE by A.Ho
3
9. PS RPS = 2kQPR = k QSP = 2k
PTS 2 2 106 18018.5
k kk
+ + =
=
PQT 10687.5
PQS kPQS
+ = =
() 10. (a) : x2 + x
2
3
3
1
x x
x x x Ax x
A
+
(b)
2 3
3
( 1 )
x
x A x x Ax Ax
A x A
+
A = 1
11. (a) 0.5 cm 39.5 2.5 7.5 178.125 cm =
(b) 310.5 3.5 8.5 312.375 cm =
12. (a) 21 2kC kd
= + k1 k2
21 2
1 2
1234003
1110600 9 ......(1)
kk
k k
= +
= +
21 2
1 2
551506
1985400 36 ......(2)
kk
k k
= +
= +
(2) (1), 11
874800 2732400
kk
=
=
k2 = 819000
281900032400C
d= +
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2013DSE by A.Ho
4
(b) 1 10d
2
2
2
1 11100
1819000 8190
1851400 40590
d
d
d
$40590 10 m
13. (a) (i) 66.5 65.8 65 68
(ii) 3
3
(b)
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2013DSE by A.Ho
5
14. (a) AB = BC (G)
EBD = EBC (I ) EBC = BAD (BE // AD) EBD = ADB (BE // AD)
BAD = ADB AB = BD ()
AB = BD = BC B ADC B ACD
(b)(i) DOC = 90 BDO CDO BO = CO = 4 BD = BC = 8
BOD OD2 = 82 42 OD = 4 3
D (0, 4 3 )
(ii) BIO, tan 30
44 4 3
(or )33
OI
OI
=
=
I (0, 4 33
)
BC D:
2 2 2
2 2 2 2
4 3 4 3( 0) ( ) (4 3 )3 3
4 3 64 8 3( ) ( 16 0)3 3 3
x y
x y x y y
+ =
+ = + =
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2013DSE by A.Ho
6
15. (a) 6410
8
4! 5! 142
CP
=
(b) P(): 6 5
4 410
8
142
P PP
=
16. (a) (2 3 )
2 3 4 92 313 13
a a ii
a a i
+=
+
= +
(2 3 )2 3 4 9
2 313 13
b b ii
b b i
=
+ +
=
(b)(i) 2 3 2 3 2 2 3 3( ) ( )13 13 13 13 13 13
a a b b a b a bi i i+ + + = +
22 3 2 3 4 6 6 9( ) ( )13 13 13 13 169 169 169 169
13
a a b b ab ab ab abi i i i i
ab
+ = +
=
2 2 2 3 3( ) 013 13 13
a b a b aby i y+ + + =
(ii) 2 2 3 3( ) 813 13
a b a b i+ + =
2 2 813
2 2 104......(1)
a b
a b
+ =
+ =
3 3 013
......(2)
a b
a b
=
=
(2) (1) 2 2 10426
a a
a
+ =
=
b = 26
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2013DSE by A.Ho
7
17. (a) (1 20%) 1.2x x + = 2 (1 20%) 2.4x x + =
2(1 20%) 0.364x
x + =
(b) $0.2x
18. (a) 2
n n n nn
B C C DS =
1 2
2
2 2
2
2 1
1[ ( ) ]22
22
2
n
n
n
x
x
x
=
=
=
(b) 2 1 2 3( ...)x S S S= + + +
2 2 22
3 5
2
2
2
... 1082 2 2
2( ) 108114
1 1083
18
x x xx
x
x
x
x
+ + + =
=
=
=
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2013DSE by A.Ho
8
19. (a) 6 3 5
27
s
s
+ +=
=
27(7 6)(7 3)(7 5) 2 14 cm =
(b) AM BC AMBC
ABC 146 cm2
2
6 AM = 146
AM = 142 cm
2'6 MA
= 142
AM = 3142
cm
AMA, cos x = )
3142)(142(2
8)3142()142( 222 +
x = 92.7294 x 92.4
y
sin sin8
2 14 sin 92.7294sin
869.1239
y xAM
y
y
=
=
=
69.1
(c) 2
'MABC
x 70 A A AM BC
A HoMATH Paper 1_A Ho_A (Chi)