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PEPERIKSAAN PERCUBAAN BERSAMA SPM NEGERI PERLIS 2012 ADDITIONAL MATHEMATICS PAPER 1
No. Answer Sub-mark Total marks
1. (a) 1 and 7 (b) {e, g, h}
1 1
2
2. (a) 1 B1 : 2𝑥 + 3 = 5 or 𝑓!! 𝑥 = !!!
!
(b) 4𝑥! + 2𝑥 B1 : (2𝑥 + 3)! − 5 2𝑥 + 3 + 6
2 2
4
3.
473 −x
B2: ( ) 5324 −=+ xxg B1: ( )
25312 −=+ xxg
3 3
4. 5143 2 −+ xx B1 : 3𝑥 − 1 𝑥 + 5 = 0
2 2
5. 2or1 =−= hh B2 : ℎ + 1 ℎ − 2 = 0 B1 : 6ℎ ! − 4 ℎ + 2 9 = 0
3 3
6. (a) p = 3 (b) q = 47 (c) x = 5
1 1 1
3
7.
322 ≤≤− x
B2: 3𝑥 − 2 𝑥 + 2 ≤ 0 B1 : 3𝑥2 + 4𝑥 − 4 ≤ 0
3
3
8. n = –2 B1: 32(2n + 1) = 33n or 4n + 2 = 3n or equivalent
2 2
9. x = 10 or x = –2 B3: x2 – 8x – 20 = 0
B2: 452
2
=+xx
B1: log252
2
+xx
= 2
3 3
10. y =
81
2x
B2: log3y – 2 log3x = –4 or equivalent
B1: xy
33
3 log29log
log=+
3 3
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11. (a) 4 (b) 559 B2: 𝑠18 - 𝑠5 = 594 − 35 B1: 𝑠18 =
182
[2(-1) + (17)(4)] or 𝑠5 = 52 [2(-1) + (4)(4)]
1 3
4
12. n = 8 B2 :![ !!)
!!!!!! !
= −3280 B1: r = −3
3 3
13.
427,
43
=−= ba
B3 : either one correct B2 : baxxy += 2
B1 : gradient = 1563
−
−
4 4
14. ji 213 − B1 : jiji 5776 ++−
2 2
15.
(a) 3=p B1 : )2(64 jpiji +=+ λ
(b) 13 B1 : ji 32 +
2 2
4
16. oooo 225,'26198,45,'2618 B3 : oo 45,'2618
B2 : 0)1)(tan1tan3( =−− xx or 1tanor31tan == xx
B1 : xxx 22 tan1tan2tan4( +=−
4 4
17.
nm
38
=
B1 : 123
4−=⎟
⎠
⎞⎜⎝
⎛⎟⎠
⎞⎜⎝
⎛ − nm
2 2
18. (a) 6.5 B1 : 1.084 radians (b) 22.9
B1 : )084.1)(5.6(21
2 2
4
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19. −44 B3 : )92()32(4 22 +− xxx B2 : [ ] 4233 )32(12)2()32(44 −−− xxxx B1 : )2()32(4 3−x or 212x
4 4
20. 1cms1 −π
B2 : Use of chain rule :dtdrr ×= π28 or equivalent
B1 : rdrdA
π2= or r = 4cm
3 3
21. 6
B3 : 523)1(
3)3( 33
=−pp
B2 : 603
83
1
3
=⎥⎦
⎤⎢⎣
⎡+px
B1 : 3
3pxis seen
4 4
22. (a) 93 (b) 1296
1 1
2
23. (a) 720 B1 : 6! (b) 240 B1 : 5!×2!
2 2
4
24. (a)
151
(b) 6029
B1 : )43
51
31()
43
54
32()
41
51
32( ××+××+××
1 2
3
25. (a) 0.6915
B1 : )35.1817( −>zP
(b) 34 B1 : 50 × 0.6915
2 2
4
