spm 2014 add math modul sbp super score [lemah] k1 set 3 dan skema
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Bahan Pecutan Akhir Add Math SPMTRANSCRIPT
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MODUL SUPER SCORE SBP 2014
KERTAS 1SET 3
NAMA MARKAHTARIKH
Answer all questions.Jawab semua soalan.
1. Diagram below shows the relation between set X and set Y.Rajah di bawah menunjukkan hubungan antara set X dan Set Y.
StateNyatakan
a) The type of relation between set X and set Y.Jenis hubungan antara set X dan set Y.
b) The range of the relationJulat hubungan itu
[2 marks/ 2 markah]
Answer/ Jawapan :
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2. The function f is defined as f ( x )=3 x−4. FindFungsi f ditakrifkan oleh f ( x )=3 x−4. Cari
a) f−1(x)b) f−1(7)
[ 3 marks/ 3 markah]
Answer/ Jawapan :
3. Given the function f ( x )=2 x+3 and g ( x )=2 x−3, findDiberi fungsi f ( x )=2 x+3 dan g ( x )=2 x−3, cari
a) f−1(x)b) gf−1(7)
[3 marks/ 3 markah]
Answer/ Jawapan :
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4. A quadratic equation (1−p ) x2+4 x−1=0 has two different roots. Find the range of values of p.Persamaan kuadratik (1−p ) x2+4 x−1=0 mempunyai dua punca yang berbeza. Cari julat bagi nilai p. [3 marks/ 3 markah]
Answer/ Jawapan :
5. Given that -1 is one of the roots of the quadratic equation qx+4=x2. Find the value of q.Diberi bahawa -1 adalah satu daripada punca-punca persamaan kuadratikqx+4=x2. Cari nilai q. [2 marks/ 2 markah]
Answer/ Jawapan :
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MODUL SUPER SCORE SBP 2014
6. Diagram shows a graph of a quadratic function y=f (x ). Line y=−9 is a tangent to the curve y=f (x ).Rajah menunjukkan graf y=f (x ). Garis y = − 9 adalah tangen kepada lengkung y=f (x ).
Find/ Cari
(a) Find the equation of axis of symmetry.Cari persamaan paksi simetri.
(b) State f (x) in the form of (x+ p)2+q, where p and q are constants.Nyatakan f (x) dalam bentuk (x+ p)2+q, di mana p dan q adalah pemalar.
[3 marks/ 3 markah] Answer/ Jawapan :
7. The quadratic function f ( x )=x2−6x+ p, where p is an integer, has a minimum value 10. Find the value of p. Persamaan kuadratik f(x) = x 2 – 6x + p, dengan keadaan p adalah integer, mempunyai nilai minimum 10. Cari nilai p.
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[2 marks/ 2 markah]
Answer/ Jawapan :
8. Find the range of values of x for x(4 –2x) ¿ 3(x – 2).Cari julat nilai x bagi x(4 –2x) ¿ 3(x – 2).
[3 marks/ 3 markah]
Answer/ Jawapan :
9. Solve the equation 1024x=64x +3. Selesaikan persamaan 1024x=64x +3.
[3 marks/ 3 markah]
Answer/ Jawapan :
10. Solve the equation 2x+5−2x+3=3.
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Selesaikan persamaan 2x+5−2x+3=3.[3 marks/ 3 markah]
Answer/ Jawapan :
11. Given that log 2qp−2=1−log2 p. Express p in terms of q.Diberi log 2 qp – 2 = 1 - log 2 p. Ungkapkan p dalam sebutan q
[3 marks/ 3 markah]
Answer/ Jawapan :
12. Given that log3 p=t , express log 27 9p
in terms of t.
Diberi bahawa log 3 p = t, nyatakan log 27 9p
dalam sebutan t.
[3 marks/ 3 markah]
Answer/ Jawapan :
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13. In a geometric progression, the first term is 108 and the fourth term is 4. Dalam suatu janjang geometri, sebutan pertama ialah 108 dan sebutan keempat ialah 4.
Calculate/ Hitung
(a) the common ratio, nisbah sepunya,
(b) the sum to infinity of the geometric progression. hasil tambah hingga sebutan ketakterhinggaan bagi janjang ini.
[4 marks/ 4 markah]
Answer/ Jawapan :
14. In an arithmetic progression, the fifth term is 45 and the seventh term is 5.Dalam suatu janjang aritmetik, sebutan kelima ialah 45 dan sebutan ketujuh
ialah 5.
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Find/ Cari
(a) the first term and the common differencesebutan pertama dan beza sepunya
(b) the sum of the first six termshasil tambah enam sebutan pertama
[4 marks/ 4 markah]
Answer/ Jawapan :
15. In an arithmetic progression, the first three terms are p−2, 2 p and 4 p−1.Dalam suatu janjang aritmetik, tiga sebutan pertama ialah p−2, 2 p dan 4 p−1.
Find the value of pCari nilai bagi p
[2 marks/ 2 markah]
Answer/ Jawapan :
16. Given that O(0 , 0), P(2 , 3) and Q (−4 ,11 ). Find, in terms of i and j,Diberi bahawa O(0 , 0), P(2 ,3) and Q (−4 ,11 ). Cari, dalam sebutan i dan j,(a) P⃗Q(b) The unit vector in the direction of P⃗Q.
vektor unit dalam arah P⃗Q. [4 marks/ 4 markah]
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Answer/ Jawapan :
17. The vectors a and b are non-zero and non-parallel. It is given that (m -1)a = (3n+1)b where m and n are constants. Find the value of m and n.Vektor a dan b adalah vektor bukan sifar dan tidak selari . Diberi bahawa (m -1)a = (3n+1)b dengan keadaan m dan n adalah pemalar. Cari nilai m dan n.
[3 marks/ 3 markah]
Answer/ Jawapan :
18. Given the vectors A⃗B=3a+k b and B⃗C=−5 a−b.Diberi vektor A⃗B=3a+k b dan vektor B⃗C=−5 a−b.
FindCari
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(a) the vector A⃗C in terms of a, b and k.vektor A⃗C dalam sebutan a, b dan k.
(b) the value of k if the point A, B and C are collinear.nilai k jika titik A, B dan C adalah segaris
[3 marks/ 3 markah]
Answer/ Jawapan :
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MODUL SUPER SCORE SBP 2014
Jawapan/ Answer :
No Answer1 (a)
(b)Many to one{2, 6, 8}
2 (a)
(b)
f−1(x)= x+43
113
3 (a)
(b)
f−1(x)= x−32
g f −1 (7 )=¿ 14 p < 55 q = 36 (a)
(b)x = 4f ( x )=(x−4)2−9
7 p = 198 −3
2≤x≤2
9 92
10 x=−311 √ 8
q12 2−t
313 (a)
(b)
r=13
S∞=¿16214 (a)
(b)a = 125, d = –20S6=450
15 p = 316 (a)
(b)
P⃗Q=−6 i+8 j−3 i+4 j
5∨−6 i+8 j
1017 m=1 , n=−1
318 (a)
(b)
A⃗C=−2 a+(k−1)b
k=35
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