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PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI MATHEMATICS FORM 3 MODULE 7 PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI SOLID GEOMETRY III 1

Module 7 geometric PMR

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Page 1: Module 7 geometric PMR

PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

MATHEMATICS

FORM 3

MODULE 7PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

SOLID GEOMETRY III

1MINISTRY OF EDUCATION MALAYSIA

Page 2: Module 7 geometric PMR

MODULE 7: SOLID GEOMETRY III

Arahan:

1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam

bahasa Inggeris.

2. Modul merangkumi tujuh konstruk yang diuji

K1 - Memahami soalan dalam bahasa InggerisK3 - Memahami istilah matematik dalam bahasa InggerisK5 - Menguasai konstruk pengetahuanK6 - Menguasai konstruk kefahamanK7 - Menguasai konstruk kemahiranK8 - Mengungkapkan idea/informasi dalam bahasa InggerisK10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris

3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas jawapan objektif sebelum ujian.

4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan objektif.

Contoh:

Antara berikut, yang manakah haiwan?

A. Pokok B. Kambing C. Kereta D. Pen

5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan yang disediakan oleh guru.

6. Jawab semua soalan.

Modul ini mengandungi 19 halaman bercetak

2

DA B C E

Page 3: Module 7 geometric PMR

1 Which of the following is a solid with two parallel faces?

A

B

C

D

2 Which of the following is a solid whose centre is equidistant from all the points on its surface?

A

B

C

D

3

Page 4: Module 7 geometric PMR

3 Which of the following has six square faces?

A

B

C

D

4 An edge of a solid is a line where two faces meet. Which of the following solid has nine edges?

A

B

C

D

4

Page 5: Module 7 geometric PMR

5 The volume of a right prism is equal to the product of its base area and its height. What is the volume of a right prism with base area, P and height, h?

A Ph

B

C P ─ h

D P + h

6 Which of the following solid has the most number of flat surfaces?

A Cone

B Cuboid

C Cylinder

D Hemisphere

7 The diagram shows the net of a geometric solid, Q.

Which of the following is Q?

A Cone

B Prism

C Cuboid

D Hemisphere

5

Page 6: Module 7 geometric PMR

8 The diagram shows a pyramid.

Which of the following is the height of the pyramid?

9 Which of the following is not a right prism?

A C

B D

A TP

B TV

C TU

D TW

T

RVU

P W Q

S

6

Page 7: Module 7 geometric PMR

10 Which of the following is a composite solid?

A

B

C

D

7

Page 8: Module 7 geometric PMR

11 The diagram shows a cone with radius, r and height, h.

What is the volume of the cone in terms of r and h ?

A rh

B h

Cr h

Dh

12 Which of the following is a net of a cuboid?

A I only

B I and II only

C I and III only

D II and III only

r

h

I II III

8

Page 9: Module 7 geometric PMR

13 The statement below describes a geometric solid.

What is the geometric solid?

A Cone

B Sphere

C Cylinder

D Pyramid

14 The statement below describes a geometric solid.

What is the geometric solid?

A Cone

B Prism

C Sphere

D Cylinder

15 The base of a solid is a polygon and the other surfaces are triangles that meet at a common vertex.

What is the name of the solid?

A Cone

B Prism

C Cuboid

D Pyramid

A solid with only two surfaces

A solid with a uniform circular cross-section

9

Page 10: Module 7 geometric PMR

16 The table shows the comparison between two solids, P and Q.

Solid Number of faces Number of edges Vertices

P 6 12 8

Q 3 2 0

Which of the following is true about P and Q?

P Q

A Cuboid Cylinder

B Cylinder Cuboid

C Cube Pyramid

D Prism Cube

17 The diagram shows a hemisphere.

What is the volume of the hemisphere?

A x 53

B x 103

C x x 5

D x x 10

10 cm

10

Page 11: Module 7 geometric PMR

18 The diagram shows a prism.

The volume of the prism is

A 3 cm x 5 cm x 6 cm

B 3 cm x 4 cm x 6 cm

C x 3 cm x 5 cm x 6 cm

D x 3 cm x 4 cm x 6 cm

19 Which of the following shows the conversion of P mm to cm ?

A P x 10

B

C P x 1000

D

5 cm

6 cm4 cm

3 cm

11

Page 12: Module 7 geometric PMR

20 The diagram shows a cone.

What is the volume of the cone?

A

B

C

D

14 cm

6 cm

12

Page 13: Module 7 geometric PMR

21 The diagram shows the net of a cuboid.

The volume of the cuboid is 240 cm3. Calculate the area, in cm , of the shaded region.

A 60

B 40

C 24

D 10

22 The diagram shows a solid consisting of a cylinder and a cone.

Calculate the volume, in cm , of the solid. ( Use )

A 3080

B 2464

C 2040

D 1848

4 cm

6 cm

24 cm

12 cm

14 cm

13

Page 14: Module 7 geometric PMR

23 A cylindrical container with a radius of 70 cm and a height of 100 cm is half filled with water.

Calculate the volume of water in , in the container.( Use )

A 770

B 1540

C 770 000

D 1 540 000

24 The area of the rectangular base of a right pyramid is 8x cm2.

If its volume is 288 cm3, and its height 8 cm, calculate the value of x.

A 1.50

B 4.50

C 6.75

D 13.50

25 The diagram shows a right circular cone. The radius of the cone, RO, is 7 cm.

If the volume of the cone is 462 cm3, find the height of the cone.

A 2.25

B 3.00

C 9.00

D 36.00

P

Q RO

14

Page 15: Module 7 geometric PMR

All question from number 26 to number 30 must be answered in word.

26 Describe the solid shown.

Answer :

27 Given that the volume of a cylinder is equal to the product of its base area and its height.

Explain how to find the height of the cylinder.

Answer :

15

Page 16: Module 7 geometric PMR

28 Explain how to find the volume of a composite solid which consists of a cone and a hemisphere.

Answer :

29 Explain how to find the volume of a prism.

Answer :

30 Describe the solid shown below.

Answer :

16

Page 17: Module 7 geometric PMR

From Question 31 – 35, the teacher reads the questions to the students. Students choose the correct answer.

31

A 137.5

B 385.0

C 550.0

D 1100.0

32

A 366.7

B 550.0

C 1100.0

D 1466.7

35 cm

10 cm

17

Page 18: Module 7 geometric PMR

33

A 36

B 180

C 270

D 360

34

A 250

B 2500

C 25 000

D 250 000

5 cm

5 cm10 cm

18

Page 19: Module 7 geometric PMR

35

A 108 cm3

B 144 cm3

C 216 cm3

D 288 cm3

END OF QUESTION PAPER

6 cm

6 cm6 cm

6 cm

19

Page 20: Module 7 geometric PMR

16

17

18

19

20

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

21

22

23

24

25

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

26

27

28

29

30

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK

GUNAKAN PENSIL 2B ATAU BB SAHAJA. TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG.PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH

SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH

KEMENTERIAN PELAJARAN MALAYSIAKERTAS JAWAPAN OBJEKTIF

Ujian Diagnostik

51152

53

54

55

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

56

57

58

59

60

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

46

47

48

49

50

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

41142

43

44

45

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

31

32

33

34

35

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

36

37

38

39

40

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

1

2

3

4

5

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

6

7

8

9

10

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

11

12

13

14

15

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

Konstruk No. Soalan Jumlah Soalan

Bilangan SoalanGagal Dijawab

Kegunaan Guru

K1

K3

K5

K6

K7

K8

K10K10

1-5

6-10

11-15

16-20

21-25

26-30

31-35

5

5

5

5

5

5

5

1

9

2

3

10

4

5

6

7

8

Nama Pelajar:

Nama Sekolah: Modul: 7