myUASARevision for UASAUlang kaji UASA
Practice paper, not an official KPM paperKertas latihan, bukan kertas rasmi KPM
50
Ujian Akhir Sesi AkademikEnd of Academic Session Test

MatematikMathematics

Tingkatan 2, 2 jam / 2 hours, 100 marksmarkah
Nama / NameNama
Kelas / ClassKelas
Tarikh / DateTarikh
Markah / marksmarkah:      / 100
InstructionsArahan
  1. Kertas soalan ini mengandungi tiga bahagian: Bahagian A, Bahagian B dan Bahagian C.This question paper consists of three sections: Section A, Section B and Section C.
  2. Jawab semua soalan.Answer all questions.
  3. Tunjukkan langkah-langkah penting dalam kerja mengira anda.Show your working. It may help you to get marks.
  4. Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan.The diagrams in this paper are not drawn to scale unless stated.
  5. Anda dibenarkan menggunakan kalkulator saintifik.You may use a scientific calculator.

Answer schemes are in English (DLP).Skema jawapan dalam Bahasa Inggeris (DLP).

Bahagian ASection A

20 marksmarkah
Jawab semua soalan. Setiap soalan diikuti oleh empat pilihan jawapan, A, B, C dan D. Pilih satu jawapan yang terbaik.Answer all questions. Each question is followed by four options, A, B, C and D. Choose the best answer.
1

QuestionSoalan 1

Empat sebutan pertama suatu jujukan ialah 5, 11, 17, 23, … Antara berikut, yang manakah ungkapan bagi sebutan ke-n?The first four terms of a sequence are 5, 11, 17, 23, … Which of the following is the expression for the nth term?
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B
The common difference is 6, so the expression starts with 6n. For n = 1 the term must be 5, so 6(1) − 1 = 5. Check n = 2: 6(2) − 1 = 11. 6n + 5 gives 11 for n = 1, which is the second term, not the first.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 1, standard 1.3.1
TextbookBuku teks p.ms. 10
2

QuestionSoalan 2

Faktorkan 18a2 − 8 dengan lengkap.Factorise 18a2 − 8 completely.
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C
Take out the HCF 2 first: 18a² − 8 = 2(9a² − 4). Then 9a² − 4 is a difference of two squares, (3a)² − 2² = (3a − 2)(3a + 2). (6a − 4)(3a + 2) is equal to 18a² − 8 but is not complete because 6a − 4 still has the common factor 2.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 2, standard 2.2.2
TextbookBuku teks p.ms. 29
3

QuestionSoalan 3

Ungkapkan m2 − 162m + 8 dalam bentuk termudah.Express m2 − 162m + 8 in its simplest form.
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A
Factorise: m² − 16 = (m − 4)(m + 4) and 2m + 8 = 2(m + 4). Cancel the common factor (m + 4) to get (m − 4)/2.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 2, standard 2.3.1
TextbookBuku teks p.ms. 35
4

QuestionSoalan 4

Diberi A = ½h(a + b). Ungkapkan b sebagai perkara rumus.Given A = ½h(a + b). Express b as the subject of the formula.
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D
2A = h(a + b), so a + b = 2A/h and b = 2A/h − a = (2A − ah)/h. Multiplying by 2 and dividing by h must be applied to the whole side.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 3, standard 3.1.2
TextbookBuku teks p.ms. 46
5

QuestionSoalan 5

Berapakah bilangan paksi simetri bagi sebuah heksagon sekata?How many axes of symmetry does a regular hexagon have?
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B
A regular polygon has as many axes of symmetry as it has sides. A hexagon has 6 sides, so it has 6 axes of symmetry (3 through opposite vertices and 3 through midpoints of opposite sides).
For the teacherUntuk guru: RememberingMengingat, lowrendah difficultyaras lowrendah, ChapterBab 4, standard 4.1.1
TextbookBuku teks p.ms. 56
6

QuestionSoalan 6

Tiga sudut pedalaman sebuah pentagon ialah 100°, 110° dan 120°. Dua sudut yang lain ialah x dan 2x. Cari nilai x.Three interior angles of a pentagon are 100°, 110° and 120°. The other two angles are x and 2x. Find the value of x.
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C
Sum of interior angles of a pentagon = (5 − 2) × 180° = 540°. 100 + 110 + 120 + 3x = 540, so 3x = 210 and x = 70°. 10° comes from using 360° instead of 540°.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 4, standard 4.2.3
TextbookBuku teks p.ms. 66
7

QuestionSoalan 7

Sebuah roda basikal berdiameter 70 cm. Hitung jarak yang dilalui oleh basikal itu apabila roda itu membuat 10 pusingan lengkap. (Guna π = 227)A bicycle wheel has a diameter of 70 cm. Calculate the distance travelled by the bicycle when the wheel makes 10 complete turns. (Use π = 227)
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A
One turn = circumference = πd = 22/7 × 70 = 220 cm. 10 turns = 10 × 220 = 2 200 cm. 220 cm is only one turn and 4 400 cm comes from using the diameter as the radius.
For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 5, standard 5.3.1
TextbookBuku teks p.ms. 86
8

QuestionSoalan 8

Sebuah petak bunga di sebuah terminal bas berbentuk sektor sebuah bulatan dengan jejari 28 m dan sudut di pusat 90°. Hitung luas petak bunga itu. (Guna π = 227)A flower bed at a bus terminal is in the shape of a sector of a circle with a radius of 28 m and an angle at the centre of 90°. Calculate the area of the flower bed. (Use π = 227)
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D
Area = 90/360 × πr² = 1/4 × 22/7 × 28 × 28 = 616 m². 2 464 m² is the area of the whole circle.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 5, standard 5.3.3
TextbookBuku teks p.ms. 90
9

QuestionSoalan 9

Sebuah prisma mempunyai keratan rentas berbentuk heksagon. Berapakah bilangan tepi prisma itu?A prism has a hexagonal cross section. How many edges does the prism have?
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B
A hexagonal prism has two hexagons (6 edges each) and 6 lateral edges: 6 + 6 + 6 = 18 edges. 12 is the number of vertices and 8 is the number of faces.
For the teacherUntuk guru: RememberingMengingat, lowrendah difficultyaras lowrendah, ChapterBab 6, standard 6.1.1
TextbookBuku teks p.ms. 101
10

QuestionSoalan 10

Sebuah piramid mempunyai tapak segi empat sama bersisi 9 cm dan tinggi 10 cm. Hitung isi padu piramid itu.A pyramid has a square base of side 9 cm and a height of 10 cm. Calculate the volume of the pyramid.
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A
Volume = 1/3 × base area × height = 1/3 × 9 × 9 × 10 = 270 cm³. 810 cm³ is the volume of the prism with the same base and height (the 1/3 was left out).
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 6, standard 6.4.2
TextbookBuku teks p.ms. 113
11

QuestionSoalan 11

Pada sebuah peta grid, satu unit mewakili 1 km. Perhentian bas berada di P(−3, 2) dan sebuah sekolah berada di Q(5, −4). Hitung jarak PQ.On a grid map, one unit represents 1 km. A bus stop is at P(−3, 2) and a school is at Q(5, −4). Calculate the distance PQ.
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C
Horizontal difference = 5 − (−3) = 8, vertical difference = 2 − (−4) = 6. PQ = √(8² + 6²) = √100 = 10 km. 14 is 8 + 6 and 100 is the square of the distance.
For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 7, standard 7.1.3
TextbookBuku teks p.ms. 128
12

QuestionSoalan 12

Cari koordinat titik tengah bagi garis lurus yang menghubungkan J(−6, 3) dan K(2, −9).Find the coordinates of the midpoint of the straight line joining J(−6, 3) and K(2, −9).
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D
Midpoint = ((−6 + 2)/2, (3 + (−9))/2) = (−2, −3). (−4, −6) comes from forgetting to divide by 2.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 7, standard 7.2.4
TextbookBuku teks p.ms. 137
13

QuestionSoalan 13

Set pasangan tertib berikut mewakili hubungan daripada set P = {1, 2, 3} kepada set Q = {a, b, c}. Antara berikut, yang manakah ialah satu fungsi?The following sets of ordered pairs represent relations from the set P = {1, 2, 3} to the set Q = {a, b, c}. Which of the following is a function?
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C
In a function every object has exactly one image. Option C gives 1, 2 and 3 one image each (a, a, b); many-to-one is allowed. In A the object 1 has two images, in B the object 3 has no image, and in D the object 2 has two images.
For the teacherUntuk guru: UnderstandingMemahami, lowrendah difficultyaras lowrendah, ChapterBab 8, standard 8.1.2
TextbookBuku teks p.ms. 149
14

QuestionSoalan 14

Sebuah kereta api meningkatkan lajunya daripada 10 m/s kepada 34 m/s dalam masa 8 saat. Hitung pecutan kereta api itu, dalam m/s2.A train increases its speed from 10 m/s to 34 m/s in 8 seconds. Calculate the acceleration of the train, in m/s2.
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A
Acceleration = change in speed ÷ time = (34 − 10) ÷ 8 = 3 m/s². 4.25 is 34 ÷ 8, which forgets to subtract the initial speed.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 9, standard 9.2.2
TextbookBuku teks p.ms. 180
15

QuestionSoalan 15

Hitung kecerunan garis lurus yang melalui titik A(−4, 5) dan B(2, −7).Calculate the gradient of the straight line that passes through the points A(−4, 5) and B(2, −7).
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B
m = (y₂ − y₁)/(x₂ − x₁) = (−7 − 5)/(2 − (−4)) = −12/6 = −2. 2 has the wrong sign, and ±1/2 is the ratio upside down.
For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 10, standard 10.1.4
TextbookBuku teks p.ms. 197
16

QuestionSoalan 16

Titik (4, 2) dipantulkan pada garis lurus x = 1. Apakah koordinat imej titik itu?The point (4, 2) is reflected in the straight line x = 1. What are the coordinates of the image of the point?
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D
The point is 3 units to the right of the line x = 1, so the image is 3 units to the left: x = 1 − 3 = −2. The y-coordinate stays 2. (−4, 2) is the reflection in the y-axis.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 11, standard 11.2.2
TextbookBuku teks p.ms. 214
17

QuestionSoalan 17

Antara transformasi berikut, yang manakah bukan satu isometri?Which of the following transformations is not an isometry?
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C
An isometry keeps the shape and the size of the object. Reflection, translation and rotation do this; an enlargement changes the size, so it is not an isometry.
For the teacherUntuk guru: RememberingMengingat, lowrendah difficultyaras lowrendah, ChapterBab 11, standard 11.1.1
TextbookBuku teks p.ms. 209
18

QuestionSoalan 18

Bilangan bas yang lewat dalam 8 hari berturut-turut ialah 4, 0, 5, 2, 3, 6, 3, 7. Cari median bagi data itu.The numbers of late buses in 8 consecutive days are 4, 0, 5, 2, 3, 6, 3, 7. Find the median of the data.
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B
Arranged in order: 0, 2, 3, 3, 4, 5, 6, 7. There are 8 values, so the median is the mean of the 4th and 5th: (3 + 4)/2 = 3.5. 3 is the mode and 3.75 is the mean.
For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 12, standard 12.1.1
TextbookBuku teks p.ms. 250
19

QuestionSoalan 19

Sebuah tiket dipilih secara rawak daripada 30 tiket yang bernombor 1 hingga 30 dalam sebuah cabutan bertuah. Cari kebarangkalian bahawa nombor pada tiket itu ialah gandaan 6.A ticket is chosen at random from 30 tickets numbered 1 to 30 in a lucky draw. Find the probability that the number on the ticket is a multiple of 6.
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A
Multiples of 6 from 1 to 30: 6, 12, 18, 24, 30, which is 5 numbers. Probability = 5/30 = 1/6.
For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 13, standard 13.2.1
TextbookBuku teks p.ms. 283
20

QuestionSoalan 20

Sebuah kotak mengandungi 12 keping token merah dan 8 keping token biru. Berapakah bilangan token merah yang perlu ditambah supaya kebarangkalian memilih token merah secara rawak menjadi 34?A box contains 12 red tokens and 8 blue tokens. How many red tokens must be added so that the probability of choosing a red token at random becomes 34?
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D
Let x red tokens be added: (12 + x)/(20 + x) = 3/4. 4(12 + x) = 3(20 + x), 48 + 4x = 60 + 3x, so x = 12. Check: 24/32 = 3/4.
For the teacherUntuk guru: AnalysingMenganalisis, hightinggi difficultyaras hightinggi, ChapterBab 13, standard 13.3.2
TextbookBuku teks p.ms. 288

Bahagian BSection B

20 marksmarkah
Jawab semua soalan. Tunjukkan langkah-langkah penting dalam kerja mengira anda.Answer all questions. Show the important steps in your working.
21

QuestionSoalan 21

Rajah 1 menunjukkan sebuah pentagon PQRST. Sisi-sisinya dipanjangkan untuk menunjukkan sudut peluaran di setiap bucu.Diagram 1 shows a pentagon PQRST. Its sides are extended to show the exterior angle at every vertex.
Pentagon PQRST with exterior angles x at P and 62°, 80°, 75° and 58° at Q, R, S and T
Rajah 1Diagram 1
[1 markmarkah] (a)Nyatakan hasil tambah sudut peluaran bagi sebuah poligon.State the sum of the exterior angles of a polygon.
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[2 marksmarkah] (b)Cari nilai x.Find the value of x.
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[1 markmarkah] (c)Hitung sudut pedalaman pada bucu P.Calculate the interior angle at vertex P.
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For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 4, standard 4.2.2
TextbookBuku teks p.ms. 64
22

QuestionSoalan 22

Rajah 2 menunjukkan sebuah tong minyak berbentuk silinder dengan jejari 7 cm dan tinggi 15 cm. (Guna π = 227)Diagram 2 shows an oil drum in the shape of a cylinder with a radius of 7 cm and a height of 15 cm. (Use π = 227)
Cylinder with radius 7 cm and height 15 cm
Rajah 2Diagram 2
[1 markmarkah] (a)Jaringan permukaan melengkung silinder itu ialah sebuah segi empat tepat. Hitung panjang, dalam cm, sisi segi empat tepat itu yang sama dengan lilitan tapak.The net of the curved surface of the cylinder is a rectangle. Calculate the length, in cm, of the side of the rectangle that is equal to the circumference of the base.
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[2 marksmarkah] (b)Hitung jumlah luas permukaan, dalam cm2, silinder itu.Calculate the total surface area, in cm2, of the cylinder.
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[1 markmarkah] (c)Hitung isi padu, dalam cm3, silinder itu.Calculate the volume, in cm3, of the cylinder.
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Tick each point you got.Tandakan setiap isi yang betul.
For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 6, standard 6.3.1
TextbookBuku teks p.ms. 108
23

QuestionSoalan 23

Rajah 3 menunjukkan graf bagi fungsi y = x2 − 2x − 3 untuk −2 ≤ x ≤ 4.Diagram 3 shows the graph of the function y = x2 − 2x − 3 for −2 ≤ x ≤ 4.
Graph of y = x squared minus 2x minus 3 with minimum point (1, −4) and passing through (−2, 5) and (4, 5)
Rajah 3Diagram 3
[1 markmarkah] (a)Nyatakan nilai y apabila x = 0.State the value of y when x = 0.
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[1 markmarkah] (b)Nyatakan nilai minimum bagi y.State the minimum value of y.
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[2 marksmarkah] (c)Daripada graf itu, cari nilai-nilai x apabila y = 5.From the graph, find the values of x when y = 5.
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Tick each point you got.Tandakan setiap isi yang betul.
For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 8, standard 8.2.2
TextbookBuku teks p.ms. 158
24

QuestionSoalan 24

Rajah 4 menunjukkan sebuah jalan di kawasan bukit yang menaik setinggi 150 m apabila jarak mengufuk ialah 1.2 km.Diagram 4 shows a road in a hilly area that rises 150 m over a horizontal distance of 1.2 km.
Right triangle showing a road rising 150 m over a horizontal distance of 1.2 km
Rajah 4Diagram 4
[1 markmarkah] (a)Tukarkan 1.2 km kepada m.Convert 1.2 km to m.
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[1 markmarkah] (b)Hitung kecerunan jalan itu.Calculate the gradient of the road.
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[2 marksmarkah] (c)Jalan itu diteruskan dengan kecerunan yang sama. Hitung tinggi pendakian, dalam m, bagi jarak mengufuk 2 km.The road continues with the same gradient. Calculate the vertical rise, in m, for a horizontal distance of 2 km.
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For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 10, standard 10.1.1
TextbookBuku teks p.ms. 191
25

QuestionSoalan 25

Bilangan pelanggan di sebuah kaunter tiket bas dalam tujuh hari berturut-turut direkodkan.
38, 42, 35, 82, 40, 41, 37
Hari keempat ialah hari cuti umum.
The number of customers at a bus ticket counter on seven consecutive days is recorded.
38, 42, 35, 82, 40, 41, 37
The fourth day was a public holiday.
[1 markmarkah] (a)Cari median bagi data itu.Find the median of the data.
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[1 markmarkah] (b)Hitung min bagi data itu.Calculate the mean of the data.
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[2 marksmarkah] (c)Pengurus kaunter ingin melaporkan bilangan pelanggan yang paling mewakili sebuah hari biasa. Pilih min atau median. Berikan justifikasi anda.The counter manager wants to report the number of customers that best represents a normal day. Choose the mean or the median. Justify your answer.
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For the teacherUntuk guru: EvaluatingMenilai, hightinggi difficultyaras hightinggi, ChapterBab 12, standard 12.1.5
TextbookBuku teks p.ms. 262

Bahagian CSection C

60 marksmarkah
Jawab semua soalan. Tunjukkan langkah-langkah penting dalam kerja mengira anda.Answer all questions. Show the important steps in your working.
26

QuestionSoalan 26

Rajah 5 menunjukkan tiga corak pertama kon lalu lintas yang disusun di sebuah persimpangan jalan. Corak itu diteruskan dengan cara yang sama.Diagram 5 shows the first three patterns of traffic cones arranged at a road junction. The pattern continues in the same way.
Pattern 1 has 5 cones, Pattern 2 has 9 cones and Pattern 3 has 13 cones: a centre cone with n cones along each of four arms
Rajah 5Diagram 5
[2 marksmarkah] (a)(i) Nyatakan bilangan kon dalam Corak 4.
(ii) Huraikan pola nombor bagi bilangan kon dalam corak-corak itu.
(i) State the number of cones in Pattern 4.
(ii) Describe the number pattern of the cones in the patterns.
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[3 marksmarkah] (b)Tulis satu ungkapan algebra bagi bilangan kon dalam Corak ke-n. Seterusnya, cari bilangan kon dalam Corak ke-25.Write an algebraic expression for the number of cones in the nth pattern. Hence, find the number of cones in Pattern 25.
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[2 marksmarkah] (c)Corak yang manakah menggunakan 97 kon?Which pattern uses 97 cones?
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[3 marksmarkah] (d)Sebuah pasukan penyelenggaraan jalan raya mempunyai 150 kon. Cari corak terbesar yang boleh disusun dan bilangan kon yang tinggal.A road maintenance team has 150 cones. Find the largest pattern that can be arranged and the number of cones left over.
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For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 1, standard 1.3.2
TextbookBuku teks p.ms. 11
27

QuestionSoalan 27

Selesaikan soalan-soalan berikut.Answer the following questions.
[2 marksmarkah] (a)Faktorkan 5ab − 15a2 dengan lengkap.Factorise 5ab − 15a2 completely.
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[3 marksmarkah] (b)Kembangkan dan permudahkan (3p − 2)2 − (p + 4)(p − 4).Expand and simplify (3p − 2)2 − (p + 4)(p − 4).
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[3 marksmarkah] (c)Faktorkan 3x2 + 10x − 8.Factorise 3x2 + 10x − 8.
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[2 marksmarkah] (d)Permudahkan y2 − 5yy2 − 25.Simplify y2 − 5yy2 − 25.
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For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 2, standard 2.2.2
TextbookBuku teks p.ms. 30
28

QuestionSoalan 28

Dua syarikat teksi menggunakan rumus berikut untuk mengira tambang, RMF, bagi perjalanan sejauh d km.
Teksi A: tambang tetap RM4 dan RM1.50 bagi setiap kilometer.
Teksi B: tambang tetap RM7 dan RM1 bagi setiap kilometer.
Two taxi companies use the following rules to work out the fare, RMF, for a journey of d km.
Taxi A: a fixed charge of RM4 and RM1.50 for each kilometre.
Taxi B: a fixed charge of RM7 and RM1 for each kilometre.
[1 markmarkah] (a)Tulis satu rumus bagi F dalam sebutan d untuk teksi A.Write a formula for F in terms of d for taxi A.
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[2 marksmarkah] (b)Ungkapkan d sebagai perkara rumus bagi teksi A.Express d as the subject of the formula for taxi A.
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[1 markmarkah] (c)Seorang penumpang membayar RM34 untuk teksi A. Hitung jarak perjalanan itu.A passenger pays RM34 for taxi A. Calculate the distance of the journey.
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[2 marksmarkah] (d)Diberi v2 = u2 + 2as. Ungkapkan a sebagai perkara rumus.Given v2 = u2 + 2as. Express a as the subject of the formula.
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[4 marksmarkah] (e)Sara berkata, "Teksi A sentiasa lebih murah kerana tambang tetapnya lebih rendah." Adakah Sara betul? Bandingkan tambang kedua-dua teksi bagi perjalanan 14 km dan cari jarak apabila tambang kedua-duanya sama.Sara says, "Taxi A is always cheaper because its fixed charge is lower." Is Sara correct? Compare the fares of the two taxis for a 14 km journey and find the distance at which the two fares are the same.
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For the teacherUntuk guru: EvaluatingMenilai, mediumsederhana difficultyaras mediumsederhana, ChapterBab 3, standard 3.1.4
TextbookBuku teks p.ms. 51
29

QuestionSoalan 29

Rajah 6 menunjukkan sebuah bulatan jalan yang berpusat O. Jejari tepi luar ialah 14 m dan jejari pulau rumput di tengah ialah 7 m. P dan Q ialah dua titik pada tepi luar dengan keadaan ∠POQ = 135°. (Guna π = 227)Diagram 6 shows a roundabout with centre O. The radius of the outer edge is 14 m and the radius of the grass island in the middle is 7 m. P and Q are two points on the outer edge such that ∠POQ = 135°. (Use π = 227)
A roundabout with centre O, outer radius 14 m, island radius 7 m and points P and Q on the outer edge with angle POQ 135 degrees
Rajah 6Diagram 6
[2 marksmarkah] (a)Hitung lilitan, dalam m, tepi luar bulatan jalan itu.Calculate the circumference, in m, of the outer edge of the roundabout.
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[3 marksmarkah] (b)Hitung luas, dalam m2, jalan di sekeliling pulau rumput itu.Calculate the area, in m2, of the road around the grass island.
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[2 marksmarkah] (c)Sebuah motosikal bergerak di sepanjang lengkok PQ pada tepi luar. Hitung panjang lengkok PQ, dalam m.A motorcycle travels along the arc PQ on the outer edge. Calculate the length, in m, of the arc PQ.
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[3 marksmarkah] (d)Hitung luas, dalam m2, sektor POQ bagi bulatan luar.Calculate the area, in m2, of the sector POQ of the outer circle.
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For the teacherUntuk guru: ApplyingMengaplikasi, lowrendah difficultyaras lowrendah, ChapterBab 5, standard 5.3.3
TextbookBuku teks p.ms. 91
30

QuestionSoalan 30

Rajah 7 ialah graf laju-masa bagi sebuah kereta api ulang-alik yang bergerak dari sebuah stesen ke stesen yang berikutnya selama 50 saat.Diagram 7 is the speed-time graph of a shuttle train travelling from one station to the next in 50 seconds.
Speed-time graph: speed rises from 0 to 20 m/s in 10 s, stays at 20 m/s until 40 s, then falls to 0 at 50 s
Rajah 7Diagram 7
[2 marksmarkah] (a)Hitung pecutan, dalam m/s2, kereta api itu dalam 10 saat pertama.Calculate the acceleration, in m/s2, of the train in the first 10 seconds.
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[3 marksmarkah] (b)Hitung jumlah jarak, dalam m, yang dilalui oleh kereta api itu.Calculate the total distance, in m, travelled by the train.
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[2 marksmarkah] (c)Hitung laju purata, dalam m/s, kereta api itu bagi seluruh perjalanan.Calculate the average speed, in m/s, of the train for the whole journey.
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[3 marksmarkah] (d)Had laju di sepanjang laluan itu ialah 60 km/j. Adakah laju purata kereta api itu melebihi had laju? Tunjukkan pengiraan anda.The speed limit along the route is 60 km/h. Is the average speed of the train more than the speed limit? Show your calculation.
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For the teacherUntuk guru: ApplyingMengaplikasi, mediumsederhana difficultyaras mediumsederhana, ChapterBab 9, standard 9.2.3
TextbookBuku teks p.ms. 183
31

QuestionSoalan 31

Jadual 1 menunjukkan bilangan token dalam sebuah beg bagi sebuah permainan di pesta ria. Sekeping token dipilih secara rawak daripada beg itu.
WarnaMerahBiruHijauKuning
Bilangan token1812812
Table 1 shows the number of tokens in a bag for a game at a fun fair. One token is chosen at random from the bag.
ColourRedBlueGreenYellow
Number of tokens1812812
[2 marksmarkah] (a)(i) Cari kebarangkalian memilih token hijau.
(ii) Cari kebarangkalian memilih token yang bukan merah.
(i) Find the probability of choosing a green token.
(ii) Find the probability of choosing a token that is not red.
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[2 marksmarkah] (b)Seorang pemain juga melambung sekeping syiling dan memutar sebuah pemutar yang mempunyai tiga sektor sama besar berlabel 1, 2 dan 3.
(i) Senaraikan ruang sampel bagi kedua-dua aktiviti itu.
(ii) Cari kebarangkalian mendapat gambar dan nombor ganjil.
A player also tosses a coin and spins a spinner with three equal sectors labelled 1, 2 and 3.
(i) List the sample space of the two activities.
(ii) Find the probability of getting a head and an odd number.
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[2 marksmarkah] (c)300 orang pemain masing-masing memilih sekeping token dan memulangkannya ke dalam beg. Anggarkan bilangan pemain yang akan memilih token biru.300 players each choose one token and put it back in the bag. Estimate the number of players who will choose a blue token.
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[4 marksmarkah] (d)Penganjur ingin mengubah permainan supaya kebarangkalian memilih token hijau menjadi 14 dengan menambah x keping token hijau ke dalam beg itu. Cari nilai x.The organiser wants to change the game so that the probability of choosing a green token becomes 14 by adding x green tokens to the bag. Find the value of x.
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For the teacherUntuk guru: CreatingMencipta, hightinggi difficultyaras hightinggi, ChapterBab 13, standard 13.4.1
TextbookBuku teks p.ms. 290
Test specification (JSU)Jadual Spesifikasi Ujian (JSU)
ChapterBabRememberingMengingatUnderstandingMemahamiApplyingMengaplikasiAnalysingMenganalisisEvaluatingMenilaiCreatingMenciptaItemsmarksmarkah
1. Patterns and Sequences––2 (11)–––211
2. Factorisation and Algebraic Fractions––3 (12)–––312
3. Algebraic Formulae––1 (1)–1 (10)–211
4. Polygon1 (1)–2 (5)–––36
5. Circles––3 (12)–––312
6. Three-Dimensional Geometrical Shapes1 (1)–2 (5)–––36
7. Coordinates––2 (2)–––22
8. Graphs of Functions–1 (1)1 (4)–––25
9. Speed and Acceleration––2 (11)–––211
10. Gradient of a Straight Line––2 (5)–––25
11. Isometric Transformations1 (1)–1 (1)–––22
12. Measures of Central Tendencies––1 (1)–1 (4)–25
13. Simple Probability––1 (1)1 (1)–1 (10)312
TotalJumlah3 (3)1 (1)23 (71)1 (1)2 (14)1 (10)31100
Each cell shows items (marks).Setiap petak menunjukkan item (markah).