4(a)Write down the converse of the following implication. Hence, state whether the converse is true or false.

Tuliskan akas bagi implikasi berikut. Seterusnya, nyatakan sama ada akas itu benar atau palsu.If p is an even number, then p is divisible by 2

Jika p ialah nombor genap, maka p boleh dibahagi tepat dengan 2.

(b)Complete the conclusion in the following argument

Lengkapkan kesimpulan dalam hujah berikut:

Premise 1:If x = 3, then .

Premis 1 : Jika x = 3, maka .

Premise 2:

Premis 2 :

Conclusion / Kesimpulan : ..

(c) Make a specific conclusion by deduction base on the following statement.Buatkan kesimpulan khusus secara deduksi berdasarkan pernyataan berikut:All regular pentagons have five equal sides. ABCDE is a regular pentagon.

Semua pentagon sekata mempunyai lima sisi yang sama panjang.ABCDE ialah sebuah pentagon sekata.

[5 marks / 5 markah]

Answer / Jawapan :

(a) Converse / Akas : .................................................................................................................................................................................................................................................

(b)Conclusion /Kesimpulan :

...(c)Conclusion specific / Kesimpulan khusus:......................

1

The Venn diagram in the answer space shows set L, set M and set N such that the universal set = L M N..Gambar rajah Venn di ruang jawapan menunjukkan set L, set M dan set N dengan

keadaan set semesta = L M N. On the diagram provided in the answer space, shadePada rajah di ruang jawapan , lorekkan

(a) set , ( L N )

(b)set ,( L M ) N.

[ 3 marks/ 3 markah ]Answer/ Jawapan :

ML

(a)

N

(b)

NLM

3(a)Combine the two of the following to form a true statement.Gabungkan dua pernyataan berikut supaya menjadi satu pernyataan yang benar.

Statement I / Pernyataan I: (5) = 125

Statement II / Pernyataan II: (6) = 36

(b) Write the converse of the following implication and state weather it is true or false.Tuliskan akas bagi implikasi berikut dan seterusnya nyatakan sama ada ianya benar atau palsu.If m is a factor of 6, then m is a factor of 18

Jika m ialah faktor bagi 6, maka m ialah faktor bagi 18

(c) Make a general conclusion by induction for the numbers 1, 5, 15, 29, which follows the following pattern :Buat kesimpulan secara aruhan bagi nombor-nombor 1, 5, 15, 29, yang berpola berikut.

1 = 2(1) 3

5 = 2(2) 3

15 = 2(3) 3

29 = 2(4) 3[5 marks/5 markah]

Answer/Jawapan :

(a) .

(b) Converse /Akas : .

(c)

4(a)Write down the converse of the following implication. Hence, state whether the converse is true or false.

Tuliskan akas bagi implikasi berikut. Seterusnya, nyatakan sama ada akas itu benar atau palsu.If p is an even number, then p is divisible by 2

Jika p ialah nombor genap, maka p boleh dibahagi tepat dengan 2.

(b)Complete the conclusion in the following argument

Lengkapkan kesimpulan dalam hujah berikut:

Premise 1:If x = 3, then .

Premis 1 : Jika x = 3, maka .

Premise 2:

Premis 2 :

Conclusion / Kesimpulan : ..

(c) Make a specific conclusion by deduction base on the following statement.Buatkan kesimpulan khusus secara deduksi berdasarkan pernyataan berikut:All regular pentagons have five equal sides. ABCDE is a regular pentagon.

Semua pentagon sekata mempunyai lima sisi yang sama panjang.ABCDE ialah sebuah pentagon sekata.

[5 marks / 5 markah]

Answer / Jawapan :

(b) Converse / Akas : .................................................................................................................................................................................................................................................

(b)Conclusion /Kesimpulan :

...(c)Conclusion specific / Kesimpulan khusus:......................

7

The data in Diagram 4 shows the donations, in RM, of 40 people to a charity fund.

26 40 30 38 45 32 46 37 48 21 51 37 52 39 27 41 37 45 39 42 23 41 33 38 43 29 40 34 46 38 43 30 33 50 39 36 44 48 35 40

a) Based on the data in Diagram 4 ,complete Table 4 in the answer space provided. Berdasarkan data di dalam Rajah 4 lengkapkan Jadual 4 di ruang jawapan yang disediakan.b) By using a scale of 2 cm to RM5 on the x-axis and 2 cm to 5

persons on the y-axis, draw an ogive based on the data.Dengan menggunakan skala 2 cm kepada RM 5 pada x- axis dan 2 cm kepada 5 orang pada y- axis, lukis satu ogif berdasarkan data yang diberi.c) From your ogive in b), find

Daripada ogif di (b), cari

i) the first quartile, kuartil pertama ii) hence, explain briefly the meaning of the first quartile. seterusnya, terangkan secara ringkas maksud kuartil pertama.

Answer :

a)Time(minutes)FrequencyCumulativeFrequency

20 24

25 29

30 34

35 39

40 44

45 49

50 54

b) Refer to the graf

c) i)._______________________

ii) _____________________________________________________

______________________________________________________

8The data in Diagram 5 shows the points scored by 40 football teams in football league. 48 46 60 67 59 52 47 6670 59 72 54 59 56 47 7562 54 71 74 68 55 61 7673 60 65 51 54 51 78 7547 57 68 62 51 63 58 57

a)Based on the data in Diagram 5 and using a class interval of 5 points,complete Table 5 in the answer space.Berdasarkan data di dalam Rajah 5 dan menggunakan selang kelas5 mata, lengkapkan Jadual 5 di ruangan jawapan.b) From the table in (a),Daripada jadual di (a)i) State the modal classNyatakan kelas mod

ii) Calculate the estimated mean points scored by the football league.Hitung anggaran min bagi mata yang diperolehi oleh pemain bola sepak itu.

c) By using a scale of 2 cm to 5 points on the horizontal axis and 2 cm to 1 team on the vertical axis, draw a frequency polygon for the data.d) Based on the frequency polygon in (c), state the number of teams whose points are more than 64.

Answer :a) PointsMidpointFrequency

45 49

50 54

55 59

60 64

65 69

70 74

75 79

b)

c) Refer the frequency polygon

d) _______________________________________________________

3BAGEE

D

F

C

Diagram 3, shows a right prism. ABFE is the uniform cross section of the prism. ABCD is the horizontal base of the right prism. AE = 10 cm , AB = 5 cm and BC = 12 cm

Rajah 3 menunjukkan sebuah prisma tegak. ABFE ialah keratan rentas seragam prisma itu. ABCD adalah tapak mengufuk bagi prisma itu. AE = 10 cm , AB = 5 cm dan BC = 12 cm

(a) Name the angle between the line EC and plane ABCD Namakan sudut di antara garis EC dengan satah ABCD.

(b) Calculate the angle between the line EC and the base ABCD . Hitung sudut di antara garis EC dengan tapak ABCD.[3 marks][3 markah] Answer/Jawapan :

4 Diagram 4 shows a right prism.The base, QRS is the uniform cross section of the prism. Rajah 4 menunjukkan sebuah prisma tegak. Tapak segitiga bersudut tegak QRS ialah keratan rentas prisma itu .

QPNMS8 cm6 cm15 cm

R

DIAGRAM 4 / RAJAH 4

(a) Name the angle between the plane MNQ and plane MNSR Namakan sudut di antara satah MNQ dengan satah MNSR.

(b) Calculate the angle between the plane MNQ and the base PQS . Hitung sudut di antara satah MNQ dengan tapak PQS.[3 marks][3 markah] Answer/Jawapan :

Diagram 3 shows two semicircles, OABC and ODC with centre O and E respectively. AOEC and OB are straight linesRajah 3 menunjukkan dua semibulatan, OABC dan ODC dengan pusat O dan E masing-masing. AOEC dan OB ialah garis lurus.

OA = OC = 28 cm and AOB = 600

OA = OC = 28 cm dan AOB = 600

Using , calculate the

Gunakan , hitungkanperimeter, in cm, of the shaded region.perimeter, dalam cm, kawasan berlorek. [ 130.67 ]ABCDEO600Diagram/Rajah 3

the area, in cm2 of the shaded regionluas, dalam cm2, kawasan berlorek

Diagram 17 shows quadrant OST and semicircle PQR, both with centre O.Rajah 17 menunjukkan sukuan bulatan OST dan semibulatan PQR, yang kedua-duanya berpusat OOS = 21 cm and OP = 14 cmOS = 21 cm dan OP = 14 cm

[ Use / Guna ]Calculate Hitung(a) the area, in cm2, of the shaded region Luas, dalam cm2, kawasan yang berlorek(b) the perimeter, in cm, of the whole diagram Perimeter, in cm, seluruh rajah itu [ a) 243.83b) 104.33 ]

SPQROT600Diagram 17Rajah 17

4Calculate the value of v and of w that satisfy the following simultaneous linear equations:

Hitungkan nilai v dan nilai w yang memuaskan persamaan linear serentak berikut:

v + 2w = 6

v - w = [4 marks / 4 markah] Answer / Jawapan :

5In Diagram 3, O is the origin, Point B and C lies on the x-axis and point D lies on the y-axis. Straight line AB is parallel to straight line CE. The equation of straight line BE is y + 2x + 12 = 0Dalam Rajah 3, O ialah asalan, titik B dan C terletak pada paksi-x, titik A dan D terletak pada paksi-y. Garis lurus AB adalah selari dengan garis lurus CE. Persamaan garis lurus BE ialah yx0A4CBDE (3, 6)y + 2x + 12 = 0

y + 2x + 12 = 0

Diagram 3/Rajah 3

(a)State the x-intercept of the straight line AB.Nyatakan pintasan-x bagi garis lurus AB.

(b)Find the equation of the straight line CE and hence, state coordinate point D.Carikan persamaan garis lurus CE dan seterusnya, nyatakan koordinat bagi titik D.

[5 marks/5 markah]

Answer / Jawapan :