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Practice paper, not an official KPM paper
50
Ujian Akhir Sesi AkademikEnd of Academic Session Test

MatematikMathematics

Tingkatan 1, 2 jam / 2 hours, 100 marks
Nama / Name
Kelas / Class
Tarikh / Date
Markah / Marks:      / 100
Instructions
  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).

Practice shows answers as you go. Exam times you and hides answers until you submit.

Bahagian ASection A

20 marks
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

Question 1

Sekumpulan pendaki mencatat suhu di puncak Gunung Fuji pada empat waktu yang berlainan dalam satu hari:
5°C, −2°C, 0°C, −6°C
Susun suhu-suhu itu mengikut tertib menaik.A group of climbers records the temperature at the top of Mount Fuji at four different times in a day:
5°C, −2°C, 0°C, −6°C
Arrange the temperatures in ascending order.
Show answerHide answer
C
On a number line, numbers increase from left to right: −6 < −2 < 0 < 5. The further a negative number is from zero, the smaller it is.
For the teacher: Understanding, low difficulty, Chapter 1, standard 1.1
Textbook p. 6
2

Question 2

Seorang penyelam skuba berada 12.5 m di bawah aras laut. Dia naik 4.8 m dan kemudian menyelam 7.25 m lebih dalam. Di manakah kedudukan penyelam itu sekarang?A scuba diver is 12.5 m below sea level. She rises 4.8 m and then dives 7.25 m deeper. Where is the diver now?
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B
−12.5 + 4.8 + (−7.25) = −7.7 − 7.25 = −14.95. The diver is 14.95 m below sea level.
For the teacher: Applying, medium difficulty, Chapter 1, standard 1.4
Textbook p. 21
3

Question 3

Nombor 84 dicetak pada jersi seorang pemain bola sepak. Antara berikut, yang manakah faktor perdana bagi 84?The number 84 is printed on a footballer's jersey. Which of the following is a prime factor of 84?
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A
84 = 2 × 2 × 3 × 7, so the prime factors of 84 are 2, 3 and 7. 4, 6 and 12 are factors of 84 but they are not prime numbers.
For the teacher: Understanding, low difficulty, Chapter 2, standard 2.1
Textbook p. 33
4

Question 4

Amir dan Beng berlari mengelilingi trek di stadium. Amir mengambil masa 6 minit untuk satu pusingan dan Beng mengambil masa 8 minit. Mereka bermula bersama-sama dari garisan permulaan pada jam 0700. Pada pukul berapakah mereka akan berada bersama-sama di garisan permulaan sekali lagi buat kali pertama?Amir and Beng run around the track at a stadium. Amir takes 6 minutes for one lap and Beng takes 8 minutes. They start together from the starting line at 0700 hours. At what time will they first be together at the starting line again?
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B
LCM of 6 and 8: 6 = 2 × 3, 8 = 2 × 2 × 2, so LCM = 2 × 2 × 2 × 3 = 24 minutes. 0700 + 24 minutes = 0724 hours. (0748 uses 6 × 8 = 48, which is a common multiple but not the lowest.)
For the teacher: Applying, medium difficulty, Chapter 2, standard 2.2
Textbook p. 41
5

Question 5

Hitung nilai bagi √(1916).Calculate the value of √(1916).
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D
Change the mixed number to an improper fraction first: 1 9/16 = 25/16. √(25/16) = 5/4 = 1 1/4.
For the teacher: Applying, low difficulty, Chapter 3, standard 3.1
Textbook p. 52
6

Question 6

Sebuah blok permainan teka-teki berbentuk kubus mempunyai isi padu 166.375 cm³. Hitung panjang sisi, dalam cm, kubus itu.A puzzle block in the shape of a cube has a volume of 166.375 cm³. Calculate the length of a side, in cm, of the cube.
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A
Side = ∛166.375 = 5.5 cm (check: 5.5 × 5.5 × 5.5 = 166.375). 12.9 is the square root, not the cube root.
For the teacher: Applying, medium difficulty, Chapter 3, standard 3.2
Textbook p. 62
7

Question 7

Sebuah kelab sukan sekolah mempunyai 24 orang ahli lelaki dan 18 orang ahli perempuan. Apakah nisbah bilangan ahli perempuan kepada jumlah ahli kelab itu?A school sports club has 24 boy members and 18 girl members. What is the ratio of the number of girl members to the total number of members of the club?
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C
Total = 24 + 18 = 42. Girls : total = 18 : 42 = 3 : 7 (divide both by 6).
For the teacher: Understanding, low difficulty, Chapter 4, standard 4.1
Textbook p. 78
8

Question 8

Seorang penunggang basikal mengayuh sejauh 54 km dalam masa 2 jam 15 minit. Hitung laju purata penunggang itu dalam m/min.A cyclist rides 54 km in 2 hours 15 minutes. Calculate the average speed of the cyclist in m/min.
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D
54 km = 54 000 m and 2 h 15 min = 135 min. Speed = 54 000 ÷ 135 = 400 m/min. (24 is the speed in km/h.)
For the teacher: Analysing, high difficulty, Chapter 4, standard 4.2
Textbook p. 82
9

Question 9

Apakah pekali bagi q² dalam sebutan algebra −6pq²?What is the coefficient of q² in the algebraic term −6pq²?
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B
−6pq² = (−6p) × q², so the coefficient of q² is −6p. The sign belongs to the coefficient.
For the teacher: Remembering, low difficulty, Chapter 5, standard 5.1
Textbook p. 111
10

Question 10

Ringkaskan 3(2m − n) − (m − 4n).Simplify 3(2m − n) − (m − 4n).
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A
3(2m − n) − (m − 4n) = 6m − 3n − m + 4n = 5m + n. The minus sign in front of the bracket changes −4n to +4n.
For the teacher: Applying, medium difficulty, Chapter 5, standard 5.2
Textbook p. 116
11

Question 11

Selesaikan persamaan linear 5 − 2x = 11.Solve the linear equation 5 − 2x = 11.
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B
5 − 2x = 11 → −2x = 11 − 5 = 6 → x = 6 ÷ (−2) = −3.
For the teacher: Applying, low difficulty, Chapter 6, standard 6.1
Textbook p. 127
12

Question 12

Harga tiket masuk ke sebuah gelanggang futsal ialah RMx bagi seorang dewasa dan RMy bagi seorang pelajar. Sebuah keluarga membayar RM19 untuk 2 orang dewasa dan 3 orang pelajar. Sebuah keluarga lain membayar RM17 untuk 1 orang dewasa dan 4 orang pelajar. Berapakah jumlah harga tiket bagi seorang dewasa dan seorang pelajar?The entrance fee to a futsal court is RMx for an adult and RMy for a student. A family pays RM19 for 2 adults and 3 students. Another family pays RM17 for 1 adult and 4 students. What is the total price of the tickets for one adult and one student?
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C
2x + 3y = 19 and x + 4y = 17. From the second equation, x = 17 − 4y. Substitute: 2(17 − 4y) + 3y = 19 → 34 − 5y = 19 → y = 3, so x = 17 − 12 = 5. x + y = 5 + 3 = RM8.
For the teacher: Analysing, high difficulty, Chapter 6, standard 6.3
Textbook p. 140
13

Question 13

Garis nombor yang manakah mewakili penyelesaian bagi ketaksamaan linear 2x + 5 ≤ 11?Which number line represents the solution of the linear inequality 2x + 5 ≤ 11?
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A
2x + 5 ≤ 11 → 2x ≤ 6 → x ≤ 3. '≤' includes 3, so the dot is solid (•) and the arrow points to the left (values smaller than 3).
For the teacher: Applying, medium difficulty, Chapter 7, standard 7.2
Textbook p. 161
14

Question 14

Rajah 1 menunjukkan sebahagian daripada rangka sebuah papan gelongsor di taman permainan. PQ dan RS ialah garis selari. Cari nilai x.Diagram 1 shows part of the frame of a slide at a playground. PQ and RS are parallel lines. Find the value of x.
Parallel lines PQ and RS cut by a transversal; 115 degrees at PQ, x at RS
Rajah 1Diagram 1
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D
The 115° angle and x are interior angles between the parallel lines on the same side of the transversal, so x + 115° = 180° and x = 65°.
For the teacher: Applying, low difficulty, Chapter 8, standard 8.3
Textbook p. 191
15

Question 15

Rajah 2 menunjukkan sebuah layang-layang PQRS yang berbentuk lelayang di sebuah pesta layang-layang. Cari nilai x.Diagram 2 shows a kite PQRS flown at a kite festival. Find the value of x.
Kite PQRS with angle P 72 degrees, angle R 100 degrees and angles Q and S both x
Rajah 2Diagram 2
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C
The interior angles of a quadrilateral add up to 360°. In a kite, one pair of opposite angles are equal: x + x + 72° + 100° = 360°, so 2x = 188° and x = 94°.
For the teacher: Applying, low difficulty, Chapter 9, standard 9.3
Textbook p. 214
16

Question 16

Rajah 3 menunjukkan permukaan sisi sebuah tanjakan papan luncur yang berbentuk trapezium. Hitung luas, dalam m², permukaan itu.Diagram 3 shows the side face of a skateboard ramp in the shape of a trapezium. Calculate the area, in m², of the face.
Right trapezium: top 1.2 m, bottom 3.0 m, height 0.8 m
Rajah 3Diagram 3
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B
Area of trapezium = ½ × (sum of parallel sides) × height = ½ × (1.2 + 3.0) × 0.8 = 1.68 m². (3.36 forgets the ½.)
For the teacher: Applying, medium difficulty, Chapter 10, standard 10.2
Textbook p. 235
17

Question 17

Gambar rajah Venn dalam Rajah 4 menunjukkan set semesta ξ, set P dan set Q bagi beberapa jenis sukan. Antara pernyataan berikut, yang manakah benar?The Venn diagram in Diagram 4 shows the universal set ξ, set P and set Q of some sports. Which of the following statements is true?
Venn diagram: Q (football, hockey) inside P (netball, badminton); swimming, archery and cycling outside P
Rajah 4Diagram 4
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A
Every element of Q (football, hockey) is also in P, so Q ⊂ P. P′ = {swimming, archery, cycling}, so n(P′) = 3; swimming is not in P; ξ has 7 elements.
For the teacher: Understanding, low difficulty, Chapter 11, standard 11.2
Textbook p. 256
18

Question 18

Carta palang dalam Rajah 5 menunjukkan bilangan pingat yang dimenangi oleh empat rumah sukan pada hari sukan sekolah. Berapakah lebihnya bilangan pingat yang dimenangi oleh rumah sukan yang paling banyak memenangi pingat berbanding dengan Rumah Biru?The bar chart in Diagram 5 shows the number of medals won by four sports houses on the school sports day. How many more medals did the house that won the most medals win than Biru house?
Bar chart: Merah 12, Biru 8, Hijau 15, Kuning 10
Rajah 5Diagram 5
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C
Hijau won the most medals, 15. Biru won 8. 15 − 8 = 7.
For the teacher: Understanding, low difficulty, Chapter 12, standard 12.1
Textbook p. 270
19

Question 19

Carta pai dalam Rajah 6 menunjukkan aktiviti luar kegemaran 180 orang murid. Bilangan murid yang memilih mendaki ialah 10 orang lebih daripada bilangan murid yang memilih berbasikal. Berapakah bilangan murid yang memilih mendaki?The pie chart in Diagram 6 shows the favourite outdoor activities of 180 pupils. The number of pupils who chose hiking is 10 more than the number of pupils who chose cycling. How many pupils chose hiking?
Pie chart: camping 110 degrees, swimming 70 degrees, hiking and cycling sectors without angles
Rajah 6Diagram 6
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D
Hiking + cycling = 360° − 110° − 70° = 180°, i.e. 180/360 × 180 = 90 pupils. Hiking − cycling = 10, so hiking = (90 + 10) ÷ 2 = 50 pupils (and cycling = 40).
For the teacher: Analysing, high difficulty, Chapter 12, standard 12.1
Textbook p. 271
20

Question 20

Rajah 7 menunjukkan kabel AB sebuah luncur gantung (flying fox) di sebuah tapak perkhemahan. Kabel itu diregangkan dari puncak menara setinggi 16 m ke puncak pelantar setinggi 4 m. Jarak mengufuk antara menara dengan pelantar ialah 35 m. Hitung panjang, dalam m, kabel AB.Diagram 7 shows the cable AB of a flying fox at a campsite. The cable is stretched from the top of a 16 m tower to the top of a 4 m platform. The horizontal distance between the tower and the platform is 35 m. Calculate the length, in m, of cable AB.
Tower 16 m, platform 4 m, 35 m apart; cable AB joins their tops
Rajah 7Diagram 7
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D
The vertical side of the right-angled triangle is 16 − 4 = 12 m. AB² = 12² + 35² = 144 + 1225 = 1369, so AB = √1369 = 37 m. (38.5 uses 16 m instead of 12 m.)
For the teacher: Analysing, high difficulty, Chapter 13, standard 13.1
Textbook p. 297

Bahagian BSection B

20 marks
Jawab semua soalan. Pilih jawapan yang betul bagi setiap bahagian soalan.Answer all questions. Choose the correct answer for each part of the question.
21

Question 21

Dalam permainan memburu harta karun semasa perkhemahan sekolah, setiap stesen mempunyai satu kad soalan. Pilih jawapan yang betul bagi setiap kad.In a treasure hunt game during the school camp, each station has a question card. Choose the correct answer for each card.
[1 mark] (a)Kad 1: √0.81 =Card 1: √0.81 =
Show answerHide answer
0.9
0.9 × 0.9 = 0.81, so √0.81 = 0.9.
[1 mark] (b)Kad 2: ∛(−64) =Card 2: ∛(−64) =
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−4
(−4) × (−4) × (−4) = −64. The cube root of a negative number is negative.
[1 mark] (c)Kad 3: (1.2)² =Card 3: (1.2)² =
Show answerHide answer
1.44
1.2 × 1.2 = 1.44. (2.4 is 1.2 × 2, not 1.2 squared.)
[1 mark] (d)Kad 4: Nilai √50 terletak di antaraCard 4: The value of √50 lies between
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7 and 8
49 < 50 < 64, so √49 < √50 < √64, i.e. 7 < √50 < 8 (√50 ≈ 7.07).
For the teacher: Understanding, low difficulty, Chapter 3, standard 3.2
Textbook p. 64
22

Question 22

Dalam satu perlawanan bola keranjang, Farid menjaringkan x mata. Kevin menjaringkan 5 mata lebih daripada dua kali mata Farid. Jumlah mata mereka berdua ialah 29.In a basketball match, Farid scored x points. Kevin scored 5 points more than twice Farid's points. Together they scored 29 points.
[1 mark] (a)Pilih persamaan linear yang mewakili maklumat di atas.Choose the linear equation that represents the information above.
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x + 2x + 5 = 29
Kevin's points = 2x + 5. Farid + Kevin = x + (2x + 5) = 29.
[1 mark] (b)Pilih nilai x.Choose the value of x.
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8
3x + 5 = 29 → 3x = 24 → x = 8.
[1 mark] (c)Berapakah mata yang dijaringkan oleh Kevin?How many points did Kevin score?
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21
2(8) + 5 = 21 (check: 8 + 21 = 29).
[1 mark] (d)Tandakan BENAR atau PALSU: (x, y) = (2, 3) ialah satu penyelesaian bagi persamaan linear 3x − 2y = 0.Mark TRUE or FALSE: (x, y) = (2, 3) is a solution of the linear equation 3x − 2y = 0.
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True
3(2) − 2(3) = 6 − 6 = 0, so (2, 3) satisfies the equation.
For the teacher: Applying, medium difficulty, Chapter 6, standard 6.1
Textbook p. 128
23

Question 23

Murid-murid melihat beberapa poligon semasa aktiviti perkhemahan dan jejak denai. Rajah 8 menunjukkan muka hadapan sebuah khemah yang berbentuk segi tiga ABC. BCD ialah garis lurus.Pupils see several polygons during a camping and jungle trekking activity. Diagram 8 shows the front of a tent in the shape of a triangle ABC. BCD is a straight line.
Triangle ABC with angle A 50 degrees and angle B 60 degrees; exterior angle y at C on straight line BCD
Rajah 8Diagram 8
[1 mark] (a)Berdasarkan Rajah 8, cari nilai y.Based on Diagram 8, find the value of y.
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110°
An exterior angle of a triangle equals the sum of the two interior opposite angles: y = 50° + 60° = 110°.
[1 mark] (b)Sebuah papan tanda arah di denai itu mempunyai 6 sisi. Namakan poligon itu.A direction signboard on the trail has 6 sides. Name the polygon.
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Hexagon
A polygon with 6 sides is a hexagon (5 sides: pentagon, 8 sides: octagon).
[1 mark] (c)Sebuah papan maklumat berbentuk pentagon. Berapakah bilangan pepenjuru sebuah pentagon?An information board is in the shape of a pentagon. How many diagonals does a pentagon have?
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5
Each vertex joins 2 non-adjacent vertices: 5 × 2 ÷ 2 = 5 diagonals.
[1 mark] (d)Tandakan BENAR atau PALSU: Sebuah segi tiga sama sisi mempunyai 3 paksi simetri.Mark TRUE or FALSE: An equilateral triangle has 3 axes of symmetry.
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True
An equilateral triangle has three equal sides and three axes of symmetry.
For the teacher: Understanding, low difficulty, Chapter 9, standard 9.2
Textbook p. 208
24

Question 24

Nombor jersi bagi pemain sebuah pasukan bola jaring ialah integer dari 10 hingga 20. Diberi set semesta ξ = {x : 10 ≤ x ≤ 20, x ialah integer}, P = {x : x ialah nombor genap} dan Q = {x : x ialah gandaan 4}.The jersey numbers of the players in a netball team are the integers from 10 to 20. Given the universal set ξ = {x : 10 ≤ x ≤ 20, x is an integer}, P = {x : x is an even number} and Q = {x : x is a multiple of 4}.
[1 mark] (a)Pilih senarai unsur bagi set Q.Choose the list of elements of set Q.
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{12, 16, 20}
The multiples of 4 from 10 to 20 are 12, 16 and 20. 4 and 8 are not in ξ.
[1 mark] (b)Pilih nilai n(P′).Choose the value of n(P′).
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5
P′ = {11, 13, 15, 17, 19} (the odd numbers in ξ), so n(P′) = 5.
[1 mark] (c)Pilih pernyataan yang betul.Choose the correct statement.
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Q ⊂ P
Every multiple of 4 is even, so every element of Q is in P: Q ⊂ P.
[1 mark] (d)Tandakan BENAR atau PALSU: 18 ∈ Q.Mark TRUE or FALSE: 18 ∈ Q.
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False
18 ÷ 4 = 4.5, so 18 is not a multiple of 4: 18 ∉ Q (it is in P).
For the teacher: Understanding, low difficulty, Chapter 11, standard 11.2
Textbook p. 257
25

Question 25

Rajah 9 menunjukkan sebuah segi tiga bersudut tegak PQR. Jawab soalan-soalan berikut tentang Teorem Pythagoras.Diagram 9 shows a right-angled triangle PQR. Answer the following questions about Pythagoras' theorem.
Right-angled triangle PQR with the right angle at Q
Rajah 9Diagram 9
[1 mark] (a)Berdasarkan Rajah 9, pilih hubungan yang betul.Based on Diagram 9, choose the correct relationship.
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PR² = PQ² + QR²
PR is opposite the right angle, so it is the hypotenuse: PR² = PQ² + QR².
[1 mark] (b)Sebuah gelanggang futsal berbentuk segi empat tepat berukuran 24 m × 18 m. Pilih panjang pepenjuru gelanggang itu.A rectangular futsal court measures 24 m × 18 m. Choose the length of the diagonal of the court.
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30 m
Diagonal² = 24² + 18² = 576 + 324 = 900, so the diagonal = √900 = 30 m.
[1 mark] (c)Tandakan BENAR atau PALSU: Sebuah segi tiga dengan sisi 9 cm, 12 cm dan 15 cm ialah segi tiga bersudut tegak.Mark TRUE or FALSE: A triangle with sides 9 cm, 12 cm and 15 cm is a right-angled triangle.
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True
9² + 12² = 81 + 144 = 225 = 15², so by the converse of Pythagoras' theorem it is right-angled.
[1 mark] (d)Tandakan BENAR atau PALSU: Sebuah segi tiga dengan sisi 7 cm, 8 cm dan 11 cm ialah segi tiga bersudut tegak.Mark TRUE or FALSE: A triangle with sides 7 cm, 8 cm and 11 cm is a right-angled triangle.
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False
7² + 8² = 49 + 64 = 113, but 11² = 121. 113 ≠ 121, so it is not right-angled.
For the teacher: Applying, medium difficulty, Chapter 13, standard 13.1
Textbook p. 296

Bahagian CSection C

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

Question 26

[2 marks] (a)Rajah 10 menunjukkan satu garis nombor. Senggatan pada garis nombor itu adalah sama jarak. Nyatakan nilai P dan nilai Q.Diagram 10 shows a number line. The marks on the number line are equally spaced. State the value of P and the value of Q.
Number line from −9 to 6 with five equal intervals; P is at the first mark after −9 and Q at the fourth
Rajah 10Diagram 10
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From −9 to 6 is 15 units in 5 equal intervals, so each interval is 3. P = −9 + 3 = −6, Q = −9 + 4(3) = 3.
Tick each point you got.
[2 marks] (b)Dalam satu pertandingan golf, skor Hafiz berbanding par bagi empat pusingan ialah −3, +2, −4 dan +1. Hitung jumlah skor Hafiz berbanding par.In a golf tournament, Hafiz's scores compared with par for four rounds are −3, +2, −4 and +1. Calculate Hafiz's total score compared with par.
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Tick each point you got.
[2 marks] (c)Hitung nilai bagi (−214 + 38) × 1.6 ÷ (−0.5).Calculate the value of (−214 + 38) × 1.6 ÷ (−0.5).
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Tick each point you got.
[2 marks] (d)Seorang pendaki membawa 2.4 liter air. Dia minum 38 daripada air itu pada waktu pagi dan 0.75 liter pada waktu petang. Berapakah isi padu, dalam liter, air yang tinggal?A hiker carries 2.4 litres of water. She drinks 38 of the water in the morning and 0.75 litre in the afternoon. What is the volume, in litres, of water left?
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Tick each point you got.
For the teacher: Applying, low difficulty, Chapter 1, standard 1.5
Textbook p. 25
27

Question 27

Rajah 11 menunjukkan kaki sebuah kerusi lipat perkhemahan. AB dan CD ialah garis lurus yang bersilang di O.
Rajah 12 menunjukkan laluan berzig-zag KML di antara dua tebing sungai yang selari, PQ dan RS.Diagram 11 shows the legs of a folding camping chair. AB and CD are straight lines that intersect at O.
Diagram 12 shows a zigzag path KML between two parallel river banks, PQ and RS.
Lines AB and CD crossing at O; angle AOC 52 degrees, x is angle DOB, y is angle BOC
Rajah 11Diagram 11
Parallel lines PQ and RS; K on PQ with 38 degrees, L on RS with 47 degrees, angle KML is z
Rajah 12Diagram 12
[2 marks] (a)(i) Nyatakan sudut pelengkap bagi 34°.
(ii) Nyatakan sudut konjugat bagi 145°.(i) State the complementary angle of 34°.
(ii) State the conjugate angle of 145°.
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Tick each point you got.
[3 marks] (b)Berdasarkan Rajah 11, cari nilai x dan nilai y.Based on Diagram 11, find the value of x and the value of y.
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Tick each point you got.
[3 marks] (c)Berdasarkan Rajah 12, cari nilai z.Based on Diagram 12, find the value of z.
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Tick each point you got.
For the teacher: Applying, low difficulty, Chapter 8, standard 8.2
Textbook p. 186
28

Question 28

[2 marks] (a)(i) Antara sebutan berikut, yang manakah sebutan serupa dengan 3ab?
   −5a,   4ba,   ab²,   7b
(ii) Nyatakan bilangan sebutan dalam ungkapan algebra 4x² − 3xy + y − 9.(i) Which of the following terms is a like term of 3ab?
   −5a,   4ba,   ab²,   7b
(ii) State the number of terms in the algebraic expression 4x² − 3xy + y − 9.
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Tick each point you got.
[4 marks] (b)Ringkaskan
(i) 4(3p − 2q) − (5p − 6q)
(ii) 2m × 9mn ÷ 6nSimplify
(i) 4(3p − 2q) − (5p − 6q)
(ii) 2m × 9mn ÷ 6n
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Tick each point you got.
[4 marks] (c)Seorang jurulatih membawa RM500 untuk membeli x biji bola sepak berharga RM45 sebiji dan y helai jersi berharga RM28 sehelai.
(i) Tulis satu ungkapan algebra bagi baki wang, dalam RM, jurulatih itu.
(ii) Hitung baki wang jurulatih itu jika dia membeli 4 biji bola sepak dan 6 helai jersi.A coach brings RM500 to buy x footballs at RM45 each and y jerseys at RM28 each.
(i) Write an algebraic expression for the coach's balance of money, in RM.
(ii) Calculate the coach's balance if he buys 4 footballs and 6 jerseys.
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Tick each point you got.
For the teacher: Applying, medium difficulty, Chapter 5, standard 5.2
Textbook p. 117
29

Question 29

Graf garis dalam Rajah 13 menunjukkan bilangan pengunjung ke sebuah taman rekreasi dari Januari hingga Jun.The line graph in Diagram 13 shows the number of visitors to a recreational park from January to June.
Line graph of visitors: Jan 120, Feb 150, Mar 90, Apr 180, May 240, Jun 210
Rajah 13Diagram 13
[5 marks] (a)(i) Nyatakan bulan yang mempunyai bilangan pengunjung paling ramai.
(ii) Hitung jumlah pengunjung dari April hingga Jun.
(iii) Hitung beza antara bilangan pengunjung paling ramai dengan paling sedikit.(i) State the month with the highest number of visitors.
(ii) Calculate the total number of visitors from April to June.
(iii) Calculate the difference between the highest and the lowest number of visitors.
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[3 marks] (b)Data di bawah menunjukkan bilangan gol yang dijaringkan oleh pasukan bola sepak sekolah dalam 20 perlawanan.
0, 2, 1, 3, 1, 0, 2, 2, 4, 1, 1, 3, 0, 2, 1, 2, 1, 3, 2, 1
(i) Bina jadual kekerapan bagi bilangan gol 0, 1, 2, 3 dan 4.
(ii) Nyatakan bilangan perlawanan yang pasukan itu menjaringkan lebih daripada 2 gol.The data below shows the number of goals scored by the school football team in 20 matches.
0, 2, 1, 3, 1, 0, 2, 2, 4, 1, 1, 3, 0, 2, 1, 2, 1, 3, 2, 1
(i) Construct a frequency table for 0, 1, 2, 3 and 4 goals.
(ii) State the number of matches in which the team scored more than 2 goals.
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[2 marks] (c)Data gol di (b) akan diwakili oleh sebuah carta pai. Hitung sudut sektor bagi 2 gol.The goals data in (b) is to be represented by a pie chart. Calculate the angle of the sector for 2 goals.
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For the teacher: Applying, low difficulty, Chapter 12, standard 12.1
Textbook p. 268
30

Question 30

[2 marks] (a)Ungkapkan nisbah 1.2 km : 450 m dalam bentuk termudah.Express the ratio 1.2 km : 450 m in its simplest form.
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[4 marks] (b)Dalam sebuah kelab raket, nisbah bilangan ahli badminton kepada ahli tenis ialah 4 : 3, dan nisbah bilangan ahli tenis kepada ahli skuasy ialah 2 : 5. Kelab itu mempunyai 116 orang ahli dan setiap ahli bermain satu sukan sahaja.
(i) Cari nisbah badminton : tenis : skuasy.
(ii) Hitung bilangan ahli tenis.In a racket club, the ratio of the number of badminton members to tennis members is 4 : 3, and the ratio of the number of tennis members to squash members is 2 : 5. The club has 116 members and each member plays only one sport.
(i) Find the ratio badminton : tennis : squash.
(ii) Calculate the number of tennis members.
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[2 marks] (c)Seorang pelari maraton berlari dengan laju seragam 12 km/j. Berapakah masa, dalam jam dan minit, yang diambil untuk berlari sejauh 42 km?A marathon runner runs at a constant speed of 12 km/h. How long, in hours and minutes, does it take to run 42 km?
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[4 marks] (d)Seorang jurulatih badminton memerlukan 48 biji bulu tangkis. Dua buah kedai menjual jenama bulu tangkis yang sama.
Kedai A: RM54.00 bagi satu tiub berisi 12 biji.
Kedai B: RM28.20 bagi satu tiub berisi 6 biji, dengan diskaun 10% daripada jumlah harga jika membeli 2 tiub atau lebih.
Kedai manakah yang lebih murah untuk jurulatih itu? Tunjukkan pengiraan anda.A badminton coach needs 48 shuttlecocks. Two shops sell the same brand of shuttlecocks.
Shop A: RM54.00 for a tube of 12.
Shop B: RM28.20 for a tube of 6, with a 10% discount on the total price for 2 tubes or more.
Which shop is cheaper for the coach? Show your calculation.
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For the teacher: Evaluating, high difficulty, Chapter 4, standard 4.4
Textbook p. 89
31

Question 31

Rajah 14 menunjukkan pelan sebuah taman permainan. Rajah 15 menunjukkan sebuah layang-layang berbentuk lelayang untuk pertandingan layang-layang. Rajah 16 menunjukkan sebidang tapak perkhemahan yang berbentuk trapezium.Diagram 14 shows the plan of a playground. Diagram 15 shows a kite for a kite-flying competition. Diagram 16 shows a camping plot in the shape of a trapezium.
L-shaped plan: bottom 18 m, left 12 m, a 6 m by 5 m corner cut from the top right
Rajah 14Diagram 14
Kite with perpendicular diagonals 80 cm and 50 cm
Rajah 15Diagram 15
Trapezium with parallel sides 14 m and 22 m and height 9 m
Rajah 16Diagram 16
[2 marks] (a)Dalam Rajah 14, semua sudut ialah sudut tegak. Hitung perimeter, dalam m, taman permainan itu.In Diagram 14, all the angles are right angles. Calculate the perimeter, in m, of the playground.
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[2 marks] (b)Panjang pepenjuru layang-layang dalam Rajah 15 ialah 80 cm dan 50 cm. Hitung luas, dalam cm², layang-layang itu.The diagonals of the kite in Diagram 15 are 80 cm and 50 cm long. Calculate the area, in cm², of the kite.
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[2 marks] (c)Hitung luas, dalam m², tapak perkhemahan dalam Rajah 16.Calculate the area, in m², of the camping plot in Diagram 16.
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[6 marks] (d)Seorang jurulatih mempunyai 36 m pagar untuk memagari sebuah kawasan latihan berbentuk segi empat tepat. Danial mencadangkan kawasan berukuran 12 m × 6 m, manakala Mei Ling mencadangkan kawasan berukuran 9 m × 9 m.
(i) Cadangan siapakah yang memberikan kawasan latihan yang lebih luas? Berikan justifikasi anda.
(ii) Jurulatih itu mahu kawasan latihan berbentuk segi empat tepat yang luasnya 80 m² dengan menggunakan kesemua 36 m pagar itu. Cadangkan panjang dan lebar kawasan itu.A coach has 36 m of fencing to fence a rectangular training area. Danial suggests an area measuring 12 m × 6 m, while Mei Ling suggests an area measuring 9 m × 9 m.
(i) Whose suggestion gives the larger training area? Justify your answer.
(ii) The coach wants a rectangular training area of 80 m² using all 36 m of the fencing. Suggest the length and the width of the area.
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For the teacher: Creating, medium difficulty, Chapter 10, standard 10.3
Textbook p. 240
Test specification (JSU)
ChapterRememberingUnderstandingApplyingAnalysingEvaluatingCreatingItemsmarks
1. Rational numbers–1 (1)2 (9)–––310
2. Factors and multiples–1 (1)1 (1)–––22
3. Squares, Square Roots, Cubes and Cube Roots–1 (4)2 (2)–––36
4. Ratios, Rates and Proportions–1 (1)–1 (1)1 (12)–314
5. Algebraic expressions1 (1)–2 (11)–––312
6. Linear equations––2 (5)1 (1)––36
7. Linear inequalities––1 (1)–––11
8. Lines and angles––2 (9)–––29
9. Basic polygons–1 (4)1 (1)–––25
10. Perimeter and area––1 (1)––1 (12)213
11. Introduction of set–2 (5)––––25
12. Data handling–1 (1)1 (10)1 (1)––312
13. The Pythagoras' Theorem––1 (4)1 (1)––25
Total1 (1)8 (17)16 (54)4 (4)1 (12)1 (12)31100
Each cell shows items (marks).