spm 2014 add math modul sbp super score [lemah] k1 set 2 dan skema

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1

MODUL SUPER SCORE SBP 2014

KERTAS 1SET 2

NAMA : MARKAHTARIKH

:

Answer all questions.Jawab semua soalan.

1. Diagram below show a relation between set P and set Q in the graph form. Rajah di bawah menunjukkan hubungan antara set P dan set Q dalam bentuk graf.

StateNyatakan

(a) the object of 4,objek bagi 4,

(b) the range of the relation,julat hubungan tersebut,

(c) the type of the relation.jenis hubungan tersebut

[3 marks][3 markah]

Answer / Jawapan :

For examiner’s

use only

J K L M N

1

3

2

Set P

Set Q

4

2

2

2

2

3

3


2. Given the function f ( x )=|x+6|. Find the values of x such that f (x) = 10

Diberi fungsi f ( x )=|x+6|. Cari nilai-nilai x dengan keadaan f (x) = 10.

[2 marks][2 markah]

Answer / Jawapan :

3. Given the function f(x) = x – 8 , findDiberi fungsi f(x) = x – 8, caria) f (4)

b) the value of h if 2 f−1 ( x )=f (4 )

nilai h jika 2 f−1 ( x )=f (4 )

[3 marks] [3 markah]

Answer / Jawapan :

For examiner’s

use only

3

4


4. Given that the roots of quadratic equation x2−(a+2)x+3b=1are a and b.

Find the values of a and b. [3 marks]

Diberi bahawa punca-punca persamaan kuadratik x2−(a+2)x+3b=1 ialah a

dan b. Cari nilai-nilai bagi a dan b. [3 markah]

Answer / Jawapan :

5. Given the equation 3 x2−(b+2 )x+b=25 has one of the root is negative to the

other. Find,

Diberi persamaan 3 x2−(b+2 )x+b=25 mempunyai satu punca yang negatif

kepada punca yang satu lagi. Caria) the value of b

nilai bb) the roots of the equation

punca-punca persamaan[3 marks]

[3 markah]

Answer / Jawapan :

For examiner’s

use only

3

5

3

6


6. Diagram shows a graph of a quadratic function y = −2 x2+ax+b .

Rajah menunjukkan graf fungsi kuadratik y = −2 x2+ax+b .

Find the values of a and b.[3 marks]

[3 markah]Answer / Jawapan :

7. Given that a quadratic function f ( x )=−2 x2+x+14 . Find the range of values

of x for which f ( x )≥8 . [2 marks]

Diberi satu fungsi kuadratik f ( x )=−2 x2+x+14 . Cari julat nilai x bagi f ( x )≥8 [2 markah]

Answer / Jawapan :

For examiner’s

use only

( 2, 10)

x

y

0

2

7

2

8

3

9


8. Given the quadratic equation x2−p ( x+1 )+3=0 has no real roots. Find the

range of the values of p. [2 marks]

Diberi persamaan kuadratik x2−p ( x+1 )+3=0 tidak mempunyai punca

nyata. Cari julat nilai p[2 markah]

Answer / Jawapan :

9. Solve the equation 3⋅5x+3=1875 . [3 marks]

Selesaikan persamaan 3⋅5x+3=1875 [3 markah]

Answer / Jawapan :

For examiner’s

use only

3

10

4

11


10. Solve the equation 4x−2=2x⋅3x−3

[3 marks]

Selesaikan persamaan 4x−2=2x⋅3x−3

. [3 markah]

Answer / Jawapan :

11. Given that log2 5 = p and log2 9 = q, express log2 0.12 in terms of p and

q . [4 marks]Diberi log2 5 = p dan log2 9 = q, nyatakan log 2 0.12 dalam sebutan p dan

q. [4 markah]

Answer / Jawapan :

12. Solve log25 x−log2( x+3 )−1=0 . [3 marks]

Selesaikan log 25 x−log2( x+3 )−1=0 . [3 markah]

Answer / Jawapan :

For examiner’s

use only

3

12

3

13


13. The sum to infinity of a geometric progression 1, m2, m4, m6, ... is 2.Hasil tambah hingga ketakterhinggaan bagi janjang geometri 1, m2, m4, m6, ... ialah 2.

Find Cari

(a) the commom ratio in terms of m.nisbah sepunya dalam sebutan m.

(b) the positive value of m.nilai positif bagi m.

[3 marks]

[3 markah]

Answer / Jawapan :

For examiner’s

use only

3

14

4

15


14. Given h−3,9 , h+5are three consecutive terms of an arithmetic progression. Find the common difference of the progression. [3 marks]

Diberi h−3,9 , h+5 ialah tiga sebutan berturutan bagi sebuah janjang aritmetik. Cari beza sepunya bagi janjang itu. [3 markah]Answer / Jawapan :

15. The fifth term of an arithmetic progression is 22. The difference of the sixth term and the third term is 18.Sebutan kelima bagi suatu janjang aritmetik ialah 22. Beza sebutan keenam dan sebutan ketiga ialah 18.

FindCari

(a) the first term and the common difference,sebutan pertama dan beza sepunya.

(b) the sum of the fourth term to the seventh term.hasil tambah bagi sebutan keempat hingga sebutan ketujuh.

[ 4 marks]

[4 markah]

Answer / Jawapan :

For examiner’s

use only

4

16

A(4, 7)

B(2,– 3 )

y

x0


16. Given

~a=(42 )and

~b=(6p) , find the value of p

Diberi

~a=(42 )dan

~b=(6p) , cari nilai bagi p

a) if ~a and

~b are parallel to each other.

jika ~a dan

~b selari antara satu sama lain.

b) if ~a and

~b are perpendicular to each other.

jika ~a dan

~b berserenjang antara satu sama lain

[4 marks][4 markah]

Answer / Jawapan :

17. Diagram shows two vectors , O⃗A and O⃗B , in a Cartesian plane.

Diagram menunjukkan dua vektor , O⃗A danO⃗B , dalam satah Cartesian.

Express Ungkapkan

(a) A⃗B in the form (xy) .

A⃗Bdalam bentuk (xy) .

(b) the unit vector in the direction of A⃗B in the form x~i + y~j .

For examiner’s

use only

4

17

4

18


vektor unit dalam arah A⃗Bdalam bentuk x~i + y~j

[4 marks][4 markah]

Answer / Jawapan :

18. Given vector ~a=7

~i +5

~j and

~b=2~i +k~j where k is a constant.

Diberi vektor ~a=7

~i +5

~j dan

~b=2~i +k~j dengan k ialah pemalar.

a) Express the vector ~a−~

b in term of k , ~i and

~j

Ungkapkan vektor ~a−~

b dalam sebutan k, ~i dan

~j

b) If |~a−~b|=13units, find the values of k.

Jika |~a−~b|=13unit, cari nilai-nilai bagi k.

[4 marks]

[4 markah]Answer / Jawapan :

Jawapan/Answer :No Answer

1(a) K and L(b) {1 , 2, 3, 4}(c) many to one

2 x=−16 ; x=4

3a) – 4b) x = – 10

4b = 2 ,

a=52

5a) b = – 2b) 3 , – 3

6 a = 8 , b = 2

7 −32≤x≤2

8 −6< p<2


9 x = 110 1.29

11

q−4 p2

Or

q2−2 p

12 x = 2

13

(a) m 2

(b) m = 0.7071 or m=√ 1

214 4

15(a) a = – 2 , d = 6(b) 100

16a) 3b) – 12

17

a)( −2−10)

b)

−2~i −10 {

~j

√104¿

or

−i~−5 j

~

√26

18 a) 5~i +(5−k )~j

b) 17 or – 7

spm 2014 add math modul sbp super score [lemah] k1 set 2 dan skema

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