50 F1 Math K2

SMK Kampung Gelam , Melaka Ulangkaji Matematik F1 Kertas 2 NAMA:

Paper 2 Kertas 2

TINGKATAN:

This paper consists of 50 questions. Answer all questions. Write your answer clearly in the spaces provided in the question paper. Show your working. It may help you to get marks. If you wish to change your answer, erase the answer that you have done. Then write down the new answer. The diagrams in the questions provided are not drawn to scale unless stated. The marks allocated for each question are shown in brackets. This question paper must be handed in at the end of examination. Bahagian ini mengandungi 50 soalan. Jawab semua soalan. Jawapan hendaklah ditulis dengan jelas dalam ruang yang disediakan dalam kertas soalan. Tunjukkan langkah-langkah penting. Ini boleh membantu anda untuk mendapatkan markah. Sekiranya anda hendak menukar jawapan, padamkan jawapan yang telah dibuat. Kemudian tuliskan jawapan yang baru. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan. Markah yang diperuntukkan bagi setiap soalan ditunjukkan dalam kurungan. Kertas soalan ini hendaklah diserahkan di akhir peperiksaan.

1

Find the difference between 1 882 rounded to the nearest hundred and to the nearest thousand. Berapakah beza antara 1 882 dibundarkan kepada ratus yang terdekat dan ribu yang terdekat.

[1 mark] [1 markah] Answer: Jawapan:

2

A theme park had 37 318 visitors in May. In June, the theme park had 5 543 more visitors compared to May. What is the total number of visitors to the theme park in both months? Sebuah taman rekreasi telah dikunjungi oleh 37 318 pelawat pada bulan Mei. Pada bulan Jun, terdapat 5 543 lebih pelawat yang mengunjungi taman rekreasi itu berbanding bulan Mei. Berapakah jumlah pelawat yang telah mengunjungi taman rekreasi itu dalam dua bulan?


3

A restaurant had RM82 307 of sales in September. In October, the restaurant had RM7 797 less sales compared to September. What is the total sales of the restaurant in both months? Sebuah restoran mempunyai jualan sebanyak RM82 307 di bulan September. Pada bulan Oktober, jualan restoran telah berkurang sebanyak RM7 797. Berapakah jumlah jualan restoran itu dalam dua bulan?


4

Divide 92 with 4. Subtract 349 with the quotient and then add 537. What is the answer?

Bahagikan 92 dengan 4. Tolak 349 dengan hasil bahagi dan tambah 537. Berapakah jawapan?


5

588 − 7(14 + 42 ÷ 3) = [1 mark] [1 markah] Answer: Jawapan:

6

Diagram 1 shows a number sequence. Rajah 1 menunjukkan satu urutan nombor.

10, 13, m, n, 28, 35, 43 Diagram 1 Rajah 1

Based on Diagram 1, what is the sum of m and n? Berdasarkan Rajah 1, apakah hasil tambah m dan n?


7

(a) The sum of two consecutive even numbers is 58. What are the two numbers? Jumlah dua nombor genap yang berturutan ialah 58. Berapakah dua nombor itu?

(b) How many odd numbers between 40 and 62 are divisible by 5? Berapakah bilangan nombor ganjil antara 40 dan 62 yang boleh dibahagikan dengan 5?


8

(a) How many prime numbers are there between 70 and 90? Berapakah bilangan nombor perdana antara 70 dan 90?

(b) What is the smallest prime number after 90? Apakah nombor perdana terkecil selepas 90?

[1 mark] [1 markah] Answer:

Jawapan:

9

(a) How many prime numbers are there between 44 and 66? Berapakah bilangan nombor perdana antara 44 dan 66?

(b) What is the smallest prime number after 85? Apakah nombor perdana terkecil selepas 85?


10

What is the difference between the highest common factor and the lowest common multiple of 12 and 16? Berapakah beza antara faktor sepunya terbesar dan gandaan sepunya terkecil bagi 12 dan 16?


11

Diagram 2 shows a figure consists of squares of the same size. Rajah 2 menunjukkan satu bentuk yang terdiri daripada segiempat-segiempat segiempat segiempat yang sama saiz.

Diagram 2 Rajah 2

Shade the region to represent

5 of the whole figure. 6

Lorekkan kawasan untuk mewakili

5 daripada seluruh bentuk. 6


12

1 5 Hui Ming uses 7 kg of flour to make cakes. She has 2 kg of flour left after making the cakes. How 4 7 much flour, in kg, did she has before making the cakes?

1 5 Hui Ming menggunakan 7 kg tepung untuk membuat kuih. Selepas membuat kuih, dia masih ada 2 kg tepung 4 7 tertinggal. Berapakah jisim tepung, dalam kg, yang dia ada sebelum membuat kuih?


13

1 1 1 Calculate the value of 5 ÷ 3 − 3  and express the answer as a fraction in its lowest term. 2  3 7 1 1 1 Hitung nilai 5 ÷ 3 − 3  dan nyatakan jawapan sebagai pecahan dalam sebutan terkecil. 2  3 7


14

1 2 3 Calculate the value of  −  ÷ and express the answer as a fraction in its lowest term. 2 5  4 1 2 3 Hitung nilai  −  ÷ dan nyatakan jawapan sebagai pecahan dalam sebutan terkecil. 2 5  4


15

(a) Change the decimal 3.772 to a mixed number. Tukar nombor perpuluhan 3.772 kepada nombor bercampur.

(b) Write 0.0224 as a fraction in its lowest term. Tulis 0.0224 sebagai pecahan dalam

[2 marks] [2 markah] Answer: Jawapan:

16

(a) Change the decimal 3.645 to a mixed number. Tukar nombor perpuluhan 3.645 kepada nombor bercampur.

(b) Write 0.6146 as a fraction in its lowest term. Tulis 0.6146 sebagai pecahan dalam


17

Given that 14 + 3.7  0.66  3.05 = 100 × x, what is the value of x? Diberi 14 + 3.7  0.66  3.05 = 100 × x, apakah nilai x?


18

(a) Calculate the value of 424.47 × 5.76. Hitung nilai 424.47 × 5.76.

(b) Round off your answer in (a) correct to two decimal places. Bundarkan jawapan anda dalam (a) betul kepada dua tempat perpuluhan.


19

Encik Jabah saved RM7 425 in a fixed deposit account in a bank for 12 months. The bank offered interest of 8% per annum. Calculate the interest received by Encik Jabah. Encik Jabah menyimpan RM7 425 dalam akaun simpanan tetap di sebuah bank selama 12 bulan. Bank itu menawarkan faedah 8% setahun. Hitung faedah yang diterima oleh Encik Jabah.


20

The number of people registered to take part in walkathon this year is 34 more than that registered in last year. If the number of people registered in this year is 884, calculate the percentage of increase. Bilangan orang yang berdaftar untuk mengambil bahagian dalam walkathon tahun ini adalah 34 lebih daripada bilangan orang yang berdaftar pada tahun lepas. Jika bilangan orang yang berdaftar pada tahun ini ialah 884, hitung peratusan penambahan.

[1 mark] [1 markah]

Answer: Jawapan:

21

Kamaruddin bought a car for RM71 200. He made a down payment of RM7 120. The balance was financed by a bank for a three-years term. The interest rate charged by the bank was 10% per annum. Calculate Kamaruddin membeli sebuah kereta dengan harga RM71 200. Dia telah membuat bayaran pendahuluan sebanyak RM7 120. Bakinya diselesaikan oleh bank dalam tempoh tiga tahun. Kadar faedah yang dikenakan oleh bank ialah 10% setahun. Hitung

(a) the total interest paid in the threeyears term, jumlah faedah yang dibayar dalam tempoh tiga tahun,

(b) the monthly instalment paid by Kamaruddin. ansuran bulanan yang dibayar oleh Kamaruddin.


22

During a book fair, the price of a dictionary is decreased by 20%. If the original price of the dictionary is RM25, what is the price of the dictionary during the book fair? Semasa pesta buku, harga sebuah kamus berkurang 20%. Jika harga asal kamus itu ialah RM25, berapakah harga jualan kamus itu semasa pesta buku?


23

Diagram 3 shows a set of numbers. Rajah 3 menunjukkan satu set nombor.

19, 10, 5, 21, 7, 29, Diagram 3 Rajah 3

Find the sum of the largest and the smallest integers. Cari jumlah integer yang terbesar dengan integer yang terkecil.


24

18 + (16 + 17) = [1 mark] [1 markah] Answer: Jawapan:

25

Chee How travelled 2500 m to the west from his house. He then travelled 1400 m to the east and finally 1400 m to the west again. How far is Chee How from his house? Chee How bergerak 2500 m ke barat dari rumahnya. Kemudian, dia bergerak 1400 m ke timur dan akhirnya 1400 m ke barat lagi. Berapakah jauh Chee How dari rumahnya?


26

On a night, the temperatures in town X and town Y were 1°C and 14°C respectively. Calculate the difference in temperature between town X and town Y on that night. Pada suatu malam, suhu bandar X dan bandar Y masing-masing ialah 1°C dan 14°C. Hitung perbezaan suhu antara bandar X dan bandar Y pada malam itu.


27

Identify the unknowns in each of the following situations. Kenal pasti anu dalam setiap situasi berikut.

(a) Several apples in the basket were rotten. Beberapa buah epal di dalam bakul itu telah busuk.

(b) Azlinda spends a lot of time to complete her homework. Azlinda menghabiskan banyak masa untuk melengkapkan kerja rumahnya.


28

State the coefficient of each of the following terms. Nyatakan pekali bagi setiap sebutan berikut.

(a) m 6 (b) 8.9n [1 mark] [1 markah] Answer: Jawapan:

29

Write four unlike terms for each of the following algebraic terms. Tulis empat sebutan tak serupa bagi setiap sebutan algebra berikut.

(a) p 4 (b) 3q [2 marks] [2 markah] Answer: Jawapan:

30

Table 1 shows the coefficient and unknown. Jadual 1 menunjukkan pekali dan anu.

Coefficient 15 14

Unknown m n Table 1

Term

Jadual 1

Copy and complete the table. Salin dan lengkapkan jadual itu.


31

Lukman works 9 hours 35 minutes every day in a factory. Find the total time, in hour and minutes, that Lukman does his work for each week. Lukman bekerja 9 jam 35 minit setiap hari di sebuah kilang. Cari jumlah masa, dalam jam dan minit, yang Lukman bekerja setiap minggu.

[1 mark] [1 markah] Answer:

Jawapan:

32

A television programme starts at 1.40 p.m.. The duration of the programme is 95 minutes. Salina left her house 85 minutes before the programme ended. State the time, in the 12-hour 12 hour system, Salina left her house. Suatu program televisyen bermula pada pukul 1.40 p.m.. Tempoh program itu ialah 95 minit. Salina meninggalkan rumahnya 85 minit sebelum program itu tamat. Nyatakan Nyatakan masa, dalam sistem 12 jam, Salina meninggalkan rumahnya.


33

Mr Wee started work in a factory on 2 February 1995 and left the factory on 17 July 1997. How long, in years, months and days, Mr Wee worked in the factory? Encik Wee mula bekerja di sebuah kilang pada 2 Februari 1995 dan meninggalkan kilang itu pada 17 Julai 1997. Berapakah lamanya, dalam tahun, bulan, dan hari, Encik Wee telah bekerja di kilang itu?


34

A bus is scheduled to depart at 11.30 a.m.. Roziah arrived at the bus station 25 minutes ear earlier. Calculate the time, in the 24-hour hour system, Roziah reached the bus station. Sebuah bas telah dijadualkan untuk bertolak pada pukul 11.30 a.m... Roziah tiba di perhentian bas 25 minit lebih awal. Hitung masa, dalam sistem 24 jam, Roziah tiba di perhentian bas.


35

In Diagram 4, STU is a straight line. Dalam Rajah 4, STU ialah satu garis lurus.

Diagram 4 Rajah 4

Find the value of a − b. Cari nilai a − b.


36

In Diagram 5, XYZ is a straight line. Dalam Rajah 5, XYZ ialah satu garis lurus.

Diagram 5 Rajah 5

Find the value of s − t. Cari nilai s − t.


37

In Diagram 6, XYZ is a straight line. Dalam Rajah 6, XYZ ialah satu garis lurus.

Diagram 6 Rajah 6

Find the value of p + q. Cari nilai p + q.


38

In Diagram 7, ABC is a straight line. Dalam Rajah 7, ABC ialah satu garis lurus.

Diagram 7 Rajah 7

Find the value of s − t. Cari nilai s − t.


39

In Diagram 8, WXY is a straight line. Dalam Rajah 8, WXY adalah garis lurus.

Diagram 8 Rajah 8

Find the value of r. Cari nilai r.


40

In Diagram 9, PQR is a straight line. Dalam Rajah 9, PQR adalah garis lurus.

Diagram 9 Rajah 9

Find the value of b. Cari nilai b.


41

In Diagram 10, PQR is a straight line. Dalam Rajah 10, PQR adalah garis ris lurus.

Diagram 10 Rajah 10

Find the value of c. Cari nilai c.


42

In Diagram 11, PQR is a straight line.

Dalam Rajah 11, PQR adalah garis lurus.

Diagram 11 Rajah 11

Find the value of b. Cari nilai b.


43

In Diagram 12, PQWV and VWTU are squares while QRW, RSW and STW are equilateral triangles. Dalam Rajah 12, PQWV and VWTU ialah segi empat sama manakala QRW, RSW dan STW iala segi tiga sama sisi.

Diagram 12 Rajah 12

Calculate the perimeter of the entire diagram. Hitung perimeter untuk seluruh rajah.


44

In Diagram 13, PQRS and PTUV are rectangles. Dalam Rajah 13, PQRS dan PTUV ialah segi empat tepat.

Diagram 13 Rajah 13

Given PQ = 44 cm, WX = 17 cm and RW = 8 cm. Calculate the perimeter the shaded region. Diberi PQ = 44 cm, WX = 17 cm dan RW = 8 cm. Kira perimeter kawasan berlorek.


45

Diagram 14 shows a trapezium PQRS. Rajah 14 menunjukkan trapezium PQRS.

Diagram 14 Rajah 14

Calculate the area of the shaded region. Hitung luas kawasan berlorek.


46

Diagram 15 shows a trapezium PQRS. Rajah 15 menunjukkan trapezium PQRS.

Diagram 15 Rajah 15

Calculate the area of the shaded region. Hitung luas kawasan berlorek.


47

Diagram 16 shows the front face of a cuboid. Complete the drawing. Rajah 16 menunjukkan muka depan sebuah kuboid. Lengkapkan lukisan itu.


Diagram 16 Rajah 16

48

Diagram 17 shows a cuboid. Rajah 17 menunjukkan sebuah kuboid.

Diagram 17 Rajah 17

(a) Name the faces that have an area of 220 cm2. Namakan muka-muka muka yang mempunyai mempu luas 220 cm2.

(b) Name the longest edges. Namakan tepi-tepi tepi yang paling panjang.


49

Diagram 18 shows a cuboid.

Rajah 18 menunjukkan sebuah kuboid.

Diagram 18 Rajah 18

The volume of the cuboid is the same as the total volume of 1 cubes with edges of 10 cm. Find the value of a. isi padu kuboid itu adalah sama dengan jumlah isi padu 1 kubus dengan tepi tepi 10 cm. Cari nilai a.


50

A container in the shape of cube with edges of 10 cm contains a certain amount of oil. If the depth of the oil is 6 cm, calculate the volume of oil. Sebuah bekas berbentuk kubus dengan tepi 10 cm diisikan dengan sejumlah minyak. Jika kedalaman minyak itu adalah dalah 6 cm, hitung isi padu minyak itu.


Answer: 1

2 000 - 1 900 = 100

2

37 318 + (37 318 + 5 543) = 37 318 + 42 861 = 80 179

3

82 307 + (82 307 - 7 797) = 82 307 + 74 510 = RM156 817

4

349 − 92 ÷ 4 + 537 = 349 − 23 + 537 = 326 + 537 = 863

5

588 − 7(14 + 42 ÷ 3) = 588 − 7(14 + 14) = 588 − 7(28) = 588 − 196 = 392

6

17 + 22 = 39

7

(a) 28, 30 (b) 2

8

(a) 5 (b) 97

9

(a) 4 (b) 89

10

48 − 4 = 44

11

12

1 5 7 +2 4 7 29 19 = + 4 7 203 + 76 = 28

279 28 27 =9 28 =

13

1 1 1 5 ÷ 3 − 3  2  3 7 11 10 22  = ÷ − 2 3 7  11 70 − 66  = ÷ 2  21  11 4 = ÷ 2 21 11 21 = × 2 4 231 = 8 7 = 28 8

14

1 − 2  ÷ 3 2 5  4 5−4 3 = ÷  10  4 1 3 ÷ 10 4 1 4 = × 10 3 2 = 15 =

15

(a) 3.772 772 =3 1 000 (b) 0.0224 224 = 10 000 14 = 625

16

(a) 3.645 645 =3 1 000 129 =3 200 (b) 0.6146 6 146 = 10 000 3 073 = 5 000

17

14 + 3.7  0.66  3.05 = 13.99 13.99 = 100 × x x = 13.99 ÷ 100 x = 0.1399

18

(a) 424.47 × 5.76 = 2 444.9472 (b) 2 444.95

19

Interest per annum Faedah setahun 8 = RM7 425 × 100 = RM594 Number of year Bilangan tahun = 12 ÷ 12 =1 Interest received by Encik Jabah Faedah yang diterima oleh Encik Jabah = RM594 × 1 = RM594

20

Number of people registered last year Bilangan orang yang berdaftar tahun lepas = 884  34 = 850 Percentage of increase Peratusan penambahan 34 = × 100% 850 = 4%

21

(a) Annual interest Faedah tahunan = (RM71 200  RM7 120) ×

10 100

= RM6 408 Total interest paid Jumlah faedah yang dibayar = RM6 408 × 3 = RM19 224 (b) Monthly instalment Ansuran bulanan = (RM64 080 + RM19 224) ÷ (3 × 12) = RM2 314

22

Decrease in price Tolakan harga = 20% of RM25 20 = × RM25 100 = RM5 Price of the dictionary during the book fair Harga kamus semasa pesta buku = RM25  RM5 = RM20

23

Largest integer Integer terbesar =7 Smallest integer Integer terkecil = 29 Sum Jumlah = 7 + (29) = 22

24

18 + (16 + 17) = 18 + 1 = 17

25

If 2500 m to the west is 2 500 m, Jika 2500 m ke barat ialah 2 500 m, 2 500 m + 1400 m + (1 400) m = 2 500 m = 2 500 m to the west = 2 500 m ke barat

26

(1°C)  (14°C) = 1°C + 14°C = 13°C

27

(a) The number of apples Bilangan epal (b) Amount of time spent Jumlah masa yang dihabiskan

28

(a) 1 6 (b) 8.9

29

(a) 15a, 6b, 16c, 5d (or any acceptable answers)

(atau sebarang jawapan yang boleh diterima) (b) 16w, x, 2y, 13z (or any acceptable answers) (atau sebarang jawapan yang boleh diterima) 30

Coefficient 15 14

Unknown m n

31

9 hours 35 minutes × 7 9 jam 35 minit × 7 = 67 hours 5 minutes = 67 jam 5 minit

32

1.40 p.m. + (95  85) minutes 1.40 p.m. + (95  85) minit = 1.40 p.m. + 10 minutes = 1.40 p.m. + 10 minit = 1.50 p.m.

33

17 July 1997  2 February 1995 17 Julai 1997  2 Februari 1995 = 2 years 5 months 15 days = 2 tahun 5 bulan 15 hari

34

11.30 a.m.  25 minutes 11.30 a.m.  25 minit = 11.05 a.m. = 1105 hours = jam 1105

35

2a = 180 − 90 − 36 = 54 54 a= 2 = 27 7b = 180 − 145 = 35 35 b= 7 =5 a + b = 27 - 5 = 22

36

2s = 180 − 90 − 52 = 38 38 s= 2 = 19 7t = 180 − 96

Term 15m 14n

= 84 84 t= 7 = 12 s + t = 19 - 12 =7 37

2p = 180 − 90 − 44 = 46 46 p= 2 = 23 7q = 180 − 138 = 42 42 q= 7 =6 p + q = 23 + 6 = 29

38

6s = 180 − 90 − 36 = 54 54 s= 6 =9 9t = 180 − 108 = 72 72 t= 9 =8 s+t=9-8 =1

39

∠YXZ =

180 − 44 2

= 68 ∠WXZ = 180 − 68 = 112 180 − 112 r= 2 = 34 40

∠RQS =

180 − 64 2

= 58 ∠PQS = 180 − 58 = 122 180 − 122 b= 2 = 29 41

∠RQS =

180 − 64 2

= 58 ∠PQS = 180 − 58 = 122 180 − 122 c= 2 = 29 42

∠RQS =

180 − 56 2

= 62 ∠PQS = 180 − 62 = 118 180 − 118 b= 2 = 31 43

Perimeter = TU + UV + VP + PQ + QR + RS + ST = 13 + 13 + 13 + 13 + 13 + 13 + 13 = 91 cm

44

Perimeter = TQ + QW + WX + XS + SV + VU + UT = 16 + (23 − 8) + 17 + (44 − 15) + (23 − 12) + (44 − 16) + 12 = 16 + 15 + 17 + 29 + 11 + 28 + 12 = 128 cm

45

Area of PQRS 1 = (14 + 12)(18) 2 1 = (26)(18) 2 = 234 cm2 Area of PQT 1 18 = (14)( ) 2 2 1 = (14)(9) 2 = 63 cm2 Area of the shaded region = Area of PQRS − Area of PQT = 234 − 63 = 171 cm2

46

Area of PQRS 1 = (12 + 14)(14) 2 1 = (26)(14) 2 = 182 cm2 Area of PQT 1 14 = (12)( ) 2 2

1 (12)(7) 2 = 42 cm2 Area of the shaded region = Area of PQRS − Area of PQT = 182 − 42 = 140 cm2 =

47

48

(a) Area of ABCD = Area of EFGH = 10 × 11 = 110 cm2 Area of AEFB = Area of CDHG = 10 × 20 = 200 cm2 Area of AEHD = Area of BCGF = 20 × 11 = 220 cm2 ∴The The faces that have an area of 220 cm2 are AEHD, BCGF. (b) AE, BF, CG, DH

49

Total volume of cubes Jumlah isi padu kubus = 1 × (10 × 10 × 10) = 1 000 cm2 a × 20 × 10 = 1 000 1 000 a= 20 × 10 1 000 = 200 = 5 cm

50

Volume isi padu = 10 × 10 × 6 = 600 cm2

50 F1 Math K2

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