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1 Answer all questions. Jawab semua soalan 1. Round off 30 106 correct to three significant figures. Bundarkan 30 106 betul kepada tiga angka bererti. A. 30 000 B. 30 100 C. 30 110 D. 30 200 2. Express as a single number. Ungkapkan sebagai satu nombor tunggal. A. 1 205 B. 12 050 C. 1 205 000 D. 12 050 000 3. A. B. C. D.

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Page 1: semua soalan - sehebatmath.weebly.comsehebatmath.weebly.com/uploads/2/6/5/5/26553867/f4obj2014.pdf · set Q = {peserta kuiz Sains}. 5 If the number of participants who participate

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Answer all questions.

Jawab semua soalan

1. Round off 30 106 correct to three significant figures.

Bundarkan 30 106 betul kepada tiga angka bererti.

A. 30 000

B. 30 100

C. 30 110

D. 30 200

2. Express as a single number.

Ungkapkan sebagai satu nombor tunggal.

A. 1 205

B. 12 050

C. 1 205 000

D. 12 050 000

3.

A.

B.

C.

D.

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4. Given that , where is a number in standard form.

State the value of and of .

Diberi bahawa , dengan keadaan adalah nombor

dalam bentuk piawai. Nyatakan nilai dan nilai .

A.

B.

C.

D.

5. The diagram is a Venn diagram showing the elements of the universal set, , set T and set

U.

Gambar rajah Venn menunjukkan unsur-unsur set semesta, , set T dan set U.

List all the elements of set U'.

Senaraikan semua unsur bagi set U’.

A. {q}

B. {l, p}

C. {l, p, q}

D. {l, p, q, n}

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6. The diagram shows a Venn diagram with the universal set, = R S.

Rajah menunjuklun gambar rajah Venn dengan set semesta, = R S.

Given that n(R) = 95, n(S) = 78 and n(R S) = 25, find n().

Diberi n(R) = 95, n(S) = 78 dan n(R S) = 25, find n().

A. 123

B. 148

C. 173

D. 198

7. The diagram shows a Venn diagram with the universal set, = R K.

Rajah menunjukkan gambar rajah Venn dengan set semesta, = R K.

List all the subsets of set K.

Senaraikan semua subset bagi set K.

A. {2}

B. {}, {2}

C. {2}, {3}, {2,3}

D. { }, {2}, {3}, {2,3}

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8. The diagram is a Venn diagram showing the number of elements in set P, set Q and set R.

Rajah ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set P, set Q

dan set R.

It is given that the universal set, =P Q R and n()=19. Find the value of n(R').

Diberi bahawa set semesta, =P Q R dan n()=19. Cari nilai bagi n(R').

A. 8

B. 10

C. 12

D. 14

9. It is given that set P = {1, 3, 5, 7, 9, 11}, set Q = {2, 4, 6, 8, 10, 12} and set R = {2, 3, 5, 7,

11}. List all the elements of set P (R Q).

Diberi bahawa set P = {1, 3, 5, 7, 9, 11}, set Q = {2, 4, 6, 8, 10, 12} and set R = {2, 3, 5,

7, 11}. Senaraikan semua unsur set P (R Q).

A. {2}

B. {3, 5, 7, ll}

C. {1, 2, 3, 5, 7, 9, 11}

D. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, l2}

10. The diagram is a Venn diagram showing the number of quiz participants in set P and set

Q. Given that the universal set, = P Q, set P = {Mathematics quiz participants) and

set Q = {Science quiz participants}.

Rajah ialah gambar rajah Venn yang menunjukkan bilangan peserta kuiz dalam set P

dan set Q. Diberi bahawa set semesta, = P Q, set P = {peserta kuiz Matematik} dan

set Q = {peserta kuiz Sains}.

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If the number of participants who participate in only one quiz is 21, find the total number

of the participants.

Jika bilangan peserta yang mengambil bahagian hanya satu kuiz sahaja ialah 21 orang,

cari jumlah semua peserta itu.

A. 27

B. 29

C. 33

D. 35

11. The diagram is a Venn diagram showing the number of elements in the universal set, ,

set K, set L and set M.

Rajah ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set semesta, ,

set K, set L dan set M.

Given n(L) = n(K M)',find n().

Diberi n(L) = n(K M)', cari n().

A. 37

B. 40

C. 49

D. 54

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12. Which Venn diagram represents the set P Q R?

Gambar rajah Venn manakah yang mewakili set P Q R?

A.

B.

C.

D.

13. ( )( )

A.

B.

C.

D.

14. ( ) ( )

A.

B.

C.

D.

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15. Express

as a single fraction in its simplest form.

Ungkapkan

sebagai satu pecahan tunggal dalam bentuk termudah.

A. ( )

B. ( )

C.

D.

16. Given

calculate the value of x.

Diberi ,

hitung nilai x.

A.

B.

C.

D.

17. Given that p= √

, q =

Diberi p= √

, q =

A.

B.

C.

D.

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18. Simplify ( )

=

Permudahkan ( )

=

A.

B.

C.

D.

19. In Diagram , PQRTU is an irregular polygon. PUS, QUT and RST are straight lines.

Dalam Rajah , PQRTU ialah poligon tidak sekata, PUS, QUT dan RST ialah garis lurus.

Given TQR is twice PQT, find the value of x.

Diberi TQR ialah dua kali PQT, cari nilai x.

A. 83

B. 78

C. 74

D. 68

20. The diagram shows a pool, which is a cuboid-shaped, measuring 400 cm deep, 500 cm

wide and 700 cm long. If 90% of the pool is filled up with water, find the volume, in ,

of water in the pool.

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Rajah di bawah menunjukkan sebuah kolam renang, yang berbentuk kuboid, berukuran

400 cm tinggi, 500 cm lebar dan 700 cm panjang. Jika 90% daripada kolam ini diisi

dengan air, Hitung isipadu, dalam air dalam kolam itu.

A.

B.

C.

D.

21.

The above diagram shows a composite solid consisting of a cone, a cylinder and a

hemisphere. Calculate the volume, in , of the solid.

Gambar rajah di atas menunjukkan sebuah gabungan pepejal yang terdiri daripada kon,

silinder dan hemisfera. Kira isipadu pepejal, dalam .

A.

B.

C.

D.

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22.

Mass (kg)

Jisim

1.0 – 1.2 1.3 – 1.5 1.6 – 1.8 1.9 – 2.1

Frequency

Kekerapan

8 12 7 4

The above table shows the distribution of masses of fish in a pool. The upper limit of the

class interval 1.3 – 1.5 kg is

Jadual di atas menunjukkan taburan jisim ikan dalam kolam. Had atas bagi selang kelas

1.3 - 1.5 kg ialah

A. 1.25

B. 1.3

C. 1.5

D. 1.55

23.

Age (years)

Umur (tahun)

10 - 19 20 - 29 30 - 39 40 - 49

Frequency

Kekerapan

12 15 10 8

The above table shows the distribution of ages of a group of people in a town. The size of

the class interval is

Jadual di atas menunjukkan taburan umur sekumpulan penduduk di sebuah bandar. Saiz

selang kelas adalah

A. 8

B. 9

C. 10

D. 11

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24.

Score

Skor

1 - 4 5 - 8 9 - 12 13 - 16

Frequency

Kekerapan

4 8 10 6

The above table shows the distribution of scores of 28 pupils in a game. The upper

boundary of the last class interval is

Jadual di atas menunjukkan taburan skor sebanyak 28 murid dalam satu permainan.

Sempadan atas bagi selang kelas yang terakhir adalah

A. 12.5

B. 13.5

C. 16

D. 16.5

25.

Radius (cm)

Jejari

1.2 – 1.5 1.6 – 1.9 2.0 – 2.3 2.4 – 2.7

Frequency

Kekerapan

4 x 10 6

The above table shows the distribution of the radius of some circular coins. It is given that

the modal class is 1.6 – 1.9 cm. The possible value of x is

Jadual di atas menunjukkan taburan jejari beberapa syiling bulat. Diberi bahawa kelas

mod adalah 1.6-1.9 cm. Nilai yang mungkin bagi x ialah

A. 7

B. 8

C. 9

D. 11

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26.

Score

Skor

0 1 2 3 4 5

Frequency

Kekerapan

2 5 1 1 4 3

The above table shows the distribution of the scores of a group of students in the test.The

median score of the distribution is

Jadual di atas menunjukkan taburan skor bagi sekumpulan pelajar dalam ujian. Skor

median bagi taburan ini ialah

A. 2.5

B. 2

C. 1.5

D. 1

27. Diagram shows a straight line PQ on a Cartesan plane.

Rajah menunjukkan garis lurus PQ pada suatu satah Cartesan.

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Find the gradient of PQ.

Cari kecerunan PQ.

A. 3

B. 2

C.

D.

28. State the x-intercept of the straight line

Nyatakan pintasan-x bagi garis lurus

A.

B.

C. 6

D. 8

29. Diagram shows a straight line FG with equation where k is a constant.

Rajah menunjukkan garis lurus FG dengan persamaan , dengan keadaan

k ialah pemalar.

It is given that OF:OG = 3:2. Find the value of k.

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Diberi bahawa OF: OG = 3:2. Cari nilai k.

A.

B.

C. 2

D.

30. The gradient of a straight line is

and the x-intercept is 12. Find the y-intercept.

Kecerunan suatu garis lurus ialah

dan pintasan-x ialah 12. Cari pintasan-y.

A.

B.

C.

D.

31. Which of the following graphs represents ( )

Antara graf berikut yang manakah mewakili ( )

A.

B.

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C.

D.

32. Express

as a single fraction in its simplest form.

Ungkapkan

sebagai satu pecahan tunggal dalam bentuk termudah.

A.

B.

C.

D.

33. Simplify ( )

Ringkaskan ( )

A.

B.

C.

D.

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34. ( ) ( )

A.

B.

C.

D.

35. Factorise completely

Faktorkan selengkapnya

A. ( )( )

B. ( )( )

C. ( )( )

D. ( )( )

36. Which of the following is not the quadratic equation in general form?

Antara yang berikut, persamaan kuadratik yang manakah bukan dalam bentuk am?

A.

B.

C.

D.

37. Which of the following numbers satisfy the inequality ?

Antara nombor berikut yang manakah memenuhi ketaksamaan 9-2x <2 + x?

A. 1, 3, 5, 7, 9

B. 1, 5, 7, 9

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C. 3, 5, 7, 9

D. 1, 3, 5

38. Given that

, the smallest value of q is

Diberi

, nilai terkecil bagi q ialah

A. 2

B. 3

C. 5

D. 10

39. Simplify ( )

( )

.

Permudahkan ( )

( )

.

A.

B.

C.

D.

40. Factorise completely.

Faktorkan selengkapnya.

A. ( )( )

B. ( )( )

C. ( )( )

D. ( )( )