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
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.
Jawab semua soalan.Answer all questions.
Tunjukkan langkah-langkah penting dalam kerja mengira anda.Show your working. It may help you to get marks.
Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan.The diagrams in this paper are not drawn to scale unless stated.
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
Suhu di sebuah bandar ialah 28°C. Pada masa yang sama, suhu di luar sebuah kapal terbang yang terbang di atas bandar itu ialah −45°C. Hitung beza suhu, dalam °C, antara dua tempat itu.The temperature in a city is 28°C. At the same time, the temperature outside an aeroplane flying above the city is −45°C. Calculate the difference in temperature, in °C, between the two places.
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D
Difference = 28 − (−45) = 28 + 45 = 73°C. Option C (17) comes from 45 − 28, which ignores the negative sign.
For the teacher: Applying, low difficulty, Chapter 1, standard 1.2
Textbook p. 8
2
Question 2
Tangki minyak kereta Puan Lim boleh diisi dengan 50 liter petrol. Sebelum memulakan perjalanan, tangki itu 3⁄4 penuh. Dalam perjalanan, keretanya menggunakan petrol sebanyak 2⁄5 daripada isi padu tangki yang penuh. Kemudian, dia mengisi 12.5 liter petrol. Berapakah isi padu, dalam liter, petrol di dalam tangki sekarang?The fuel tank of Puan Lim's car holds 50 litres of petrol. Before a journey, the tank is 3⁄4 full. During the journey, the car uses 2⁄5 of a full tank of petrol. Then she adds 12.5 litres of petrol. What is the volume, in litres, of petrol in the tank now?
For the teacher: Analysing, high difficulty, Chapter 1, standard 1.5
Textbook p. 23
3
Question 3
Sebuah bas ekspres mempunyai 84 tempat duduk. Antara berikut, yang manakah faktor perdana bagi 84?An express bus has 84 seats. Which of the following is a prime factor of 84?
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C
84 = 2 × 2 × 3 × 7, so the prime factors are 2, 3 and 7. 4, 6 and 12 are factors of 84 but they are not prime numbers.
For the teacher: Remembering, low difficulty, Chapter 2, standard 2.1
Textbook p. 31
4
Question 4
Di sebuah terminal bas, bas laluan X bertolak setiap 12 minit dan bas laluan Y bertolak setiap 18 minit. Kedua-dua bas bertolak serentak pada jam 7:00 pagi. Berapa kalikah kedua-dua bas itu bertolak serentak dari jam 7:00 pagi hingga jam 9:00 pagi?At a bus terminal, route X buses leave every 12 minutes and route Y buses leave every 18 minutes. Both buses leave together at 7:00 a.m. How many times do both buses leave together from 7:00 a.m. to 9:00 a.m.?
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A
LCM of 12 and 18 = 36, so the buses leave together every 36 minutes: 7:00, 7:36, 8:12 and 8:48 a.m. The next time, 9:24 a.m., is after 9:00 a.m. That is 4 times.
For the teacher: Analysing, high difficulty, Chapter 2, standard 2.2
Textbook p. 40
5
Question 5
Sebuah tempat letak kereta berbentuk segi empat sama mempunyai luas 196 m2. Hitung panjang, dalam m, sisi tempat letak kereta itu.A square car park has an area of 196 m2. Calculate the length, in m, of a side of the car park.
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B
Side = √196 = 14 m, because 14 × 14 = 196. 49 is 196 ÷ 4 (a quarter of the area) and 98 is half of it.
For the teacher: Applying, low difficulty, Chapter 3, standard 3.1
Textbook p. 52
6
Question 6
Hitung nilai bagi ∛(−0.125) + (−3)2.Calculate the value of ∛(−0.125) + (−3)2.
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D
∛(−0.125) = −0.5 because (−0.5)3 = −0.125. (−3)2 = 9. So −0.5 + 9 = 8.5.
For the teacher: Applying, medium difficulty, Chapter 3, standard 3.2
Textbook p. 62
7
Question 7
Sebuah syarikat teksi mempunyai 45 buah teksi merah dan 60 buah teksi biru. Nyatakan nisbah bilangan teksi merah kepada jumlah bilangan teksi dalam bentuk termudah.A taxi company has 45 red taxis and 60 blue taxis. State the ratio of the number of red taxis to the total number of taxis in its simplest form.
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C
Total = 45 + 60 = 105 taxis. 45 : 105 = 3 : 7 (divide both by 15). 3 : 4 is red : blue, not red : total.
For the teacher: Understanding, low difficulty, Chapter 4, standard 4.1
Textbook p. 76
8
Question 8
Sebuah kereta api bergerak sejauh 156 km dalam masa 1 jam 30 minit. Hitung laju purata, dalam km/j, kereta api itu.A train travels 156 km in 1 hour 30 minutes. Calculate the average speed, in km/h, of the train.
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A
1 hour 30 minutes = 1.5 hours. Speed = 156 ÷ 1.5 = 104 km/h. (156 ÷ 1.3 = 120 comes from wrongly writing 1 h 30 min as 1.3 h.)
For the teacher: Applying, medium difficulty, Chapter 4, standard 4.2
Textbook p. 82
9
Question 9
Nyatakan pekali bagi pq2 dalam sebutan algebra −7pq2.State the coefficient of pq2 in the algebraic term −7pq2.
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A
−7pq2 = −7 × pq2, so the coefficient of pq2 is −7 (the sign belongs to the coefficient).
For the teacher: Remembering, low difficulty, Chapter 5, standard 5.1
Textbook p. 105
10
Question 10
Harga tiket bas bagi seorang dewasa ialah RMx dan harga tiket bagi seorang kanak-kanak adalah RM2 kurang daripada tiket dewasa. Ungkapkan jumlah harga, dalam RM, tiket bagi 3 orang dewasa dan 2 orang kanak-kanak.The price of a bus ticket for an adult is RMx and the price of a ticket for a child is RM2 less than an adult's ticket. Express the total price, in RM, of the tickets for 3 adults and 2 children.
For the teacher: Applying, medium difficulty, Chapter 5, standard 5.2
Textbook p. 116
11
Question 11
Sebuah teksi mengenakan tambang asas RM5 dan RM3 bagi setiap km. Tambang bagi suatu perjalanan sejauh x km ialah RM29. Cari nilai x.A taxi charges a basic fare of RM5 and RM3 for every km. The fare for a journey of x km is RM29. Find the value of x.
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B
5 + 3x = 29, so 3x = 24 and x = 8.
For the teacher: Applying, low difficulty, Chapter 6, standard 6.1
Textbook p. 125
12
Question 12
Harga tiket bas ke Melaka bagi seorang dewasa ialah RMx dan bagi seorang kanak-kanak ialah RMy. Jumlah harga tiket bagi 2 orang dewasa dan 3 orang kanak-kanak ialah RM26. Jumlah harga tiket bagi seorang dewasa dan seorang kanak-kanak ialah RM11. Cari nilai x dan nilai y.The price of a bus ticket to Melaka is RMx for an adult and RMy for a child. The total price of the tickets for 2 adults and 3 children is RM26. The total price of the tickets for one adult and one child is RM11. Find the values of x and y.
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C
2x + 3y = 26 and x + y = 11. From the second equation, x = 11 − y. Then 2(11 − y) + 3y = 26, so 22 + y = 26, y = 4 and x = 7. Check: 2(7) + 3(4) = 26. Option A satisfies the first equation only.
For the teacher: Analysing, high difficulty, Chapter 6, standard 6.3
Textbook p. 138
13
Question 13
Sebuah lif di sebuah bangunan pejabat boleh membawa beban tidak melebihi 600 kg. Seorang pekerja berjisim 75 kg membawa n buah kotak yang setiap satunya berjisim 25 kg ke dalam lif itu. Antara ketaksamaan linear berikut, yang manakah mewakili situasi ini?A lift in an office building can carry a load of not more than 600 kg. A worker of mass 75 kg takes n boxes, each of mass 25 kg, into the lift. Which of the following linear inequalities represents this situation?
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B
Total load = 75 + 25n kg. 'Not more than 600' means less than or equal to 600, so 75 + 25n ≤ 600.
For the teacher: Applying, medium difficulty, Chapter 7, standard 7.2
Textbook p. 159
14
Question 14
Cari sudut pelengkap bagi 38°.Find the complementary angle of 38°.
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A
Complementary angles add up to 90°: 90° − 38° = 52°. 142° is the supplementary angle and 322° is the conjugate angle.
For the teacher: Remembering, low difficulty, Chapter 8, standard 8.1
Textbook p. 174
15
Question 15
Rajah 1 menunjukkan papan tanda jalan raya berbentuk oktagon. Berapakah bilangan pepenjuru bagi sebuah oktagon?Diagram 1 shows a road sign in the shape of an octagon. How many diagonals does an octagon have?
Rajah 1Diagram 1
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D
Number of diagonals = n(n − 3) ÷ 2 = 8 × 5 ÷ 2 = 20. An octagon has 8 sides and 8 vertices; each vertex has 5 diagonals.
For the teacher: Understanding, low difficulty, Chapter 9, standard 9.1
Textbook p. 203
16
Question 16
Rajah 2 menunjukkan sebuah pulau trafik berbentuk segi tiga di sebuah persimpangan jalan. Hitung luas, dalam m2, pulau trafik itu.Diagram 2 shows a triangular traffic island at a road junction. Calculate the area, in m2, of the traffic island.
Rajah 2Diagram 2
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C
Area of triangle = ½ × base × height = ½ × 12 × 7 = 42 m2. 84 forgets the ½.
For the teacher: Applying, low difficulty, Chapter 10, standard 10.2
Textbook p. 232
17
Question 17
Sebuah hentian bas dilalui oleh bas yang bernombor laluan 1 hingga 10. Diberi set semesta ξ = {x : x ialah integer, 1 ≤ x ≤ 10} dan set P = {x : x ialah gandaan 3}. Cari n(P').A bus stop is served by buses with route numbers 1 to 10. Given the universal set ξ = {x : x is an integer, 1 ≤ x ≤ 10} and set P = {x : x is a multiple of 3}. Find n(P').
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D
P = {3, 6, 9}, so n(P) = 3. P' = {1, 2, 4, 5, 7, 8, 10}, so n(P') = 10 − 3 = 7.
For the teacher: Understanding, low difficulty, Chapter 11, standard 11.2
Textbook p. 255
18
Question 18
Carta pai dalam Rajah 3 menunjukkan cara 480 orang murid sebuah sekolah di bandar pergi ke sekolah. Berapakah bilangan murid yang menaiki bas?The pie chart in Diagram 3 shows how 480 pupils of a city school travel to school. How many pupils take the bus?
Rajah 3Diagram 3
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B
Angle for bus = 360° − 60° − 75° − 90° = 135°. Number of pupils = 135/360 × 480 = 180. (120 is the number who come by car.)
For the teacher: Applying, medium difficulty, Chapter 12, standard 12.1
Textbook p. 271
19
Question 19
Plot batang-dan-daun dalam Rajah 4 menunjukkan masa menunggu, dalam minit, bagi 11 orang penumpang di sebuah perhentian bas. Berapakah bilangan penumpang yang menunggu lebih daripada 20 minit?The stem-and-leaf plot in Diagram 4 shows the waiting times, in minutes, of 11 passengers at a bus stop. How many passengers waited more than 20 minutes?
Rajah 4Diagram 4
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A
Waiting times more than 20 minutes: 21, 24, 28, 30, 33, so 5 passengers.
For the teacher: Understanding, low difficulty, Chapter 12, standard 12.1
Textbook p. 274
20
Question 20
Rajah 5 menunjukkan sebatang tangga sepanjang 13 m pada sebuah kereta bomba yang disandarkan pada dinding sebuah bangunan. Kaki tangga itu berada 5 m dari dinding. Hitung tinggi, dalam m, hujung atas tangga itu dari tanah.Diagram 5 shows a 13 m ladder from a fire engine leaning against the wall of a building. The foot of the ladder is 5 m from the wall. Calculate the height, in m, of the top of the ladder above the ground.
Rajah 5Diagram 5
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C
The ladder is the hypotenuse. Height = √(132 − 52) = √(169 − 25) = √144 = 12 m. 13.9 comes from adding the squares.
For the teacher: Applying, medium difficulty, Chapter 13, standard 13.1
Textbook p. 296
Bahagian BSection B
20 marks
Jawab semua soalan.Answer all questions.
21
Question 21
Sebuah depoh bas mempunyai 48 buah bas merah dan 72 buah bas biru. Semua bas itu hendak diletakkan dalam beberapa barisan. Setiap barisan mempunyai bilangan bas yang sama dan hanya satu warna sahaja.A bus depot has 48 red buses and 72 blue buses. All the buses are to be parked in rows. Each row has the same number of buses and only one colour.
[1 mark](a)72 = 23 × 32. Adakah pernyataan ini betul atau salah?72 = 23 × 32. Is this statement true or false?Show answerHide answer
True
23 × 32 = 8 × 9 = 72.
[1 mark](b)Pilih faktor sepunya bagi 48 dan 72.Choose a common factor of 48 and 72.Show answerHide answer
12
48 ÷ 12 = 4 and 72 ÷ 12 = 6. 9 and 36 are not factors of 48; 16 is not a factor of 72.
[2 marks](c)Cari bilangan maksimum bas dalam setiap barisan.Find the maximum number of buses in each row.
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For the teacher: Applying, low difficulty, Chapter 2, standard 2.1
Textbook p. 36
22
Question 22
Sebuah kereta menggunakan 36 liter petrol untuk perjalanan sejauh 450 km dari Kuala Lumpur ke Kota Bharu.A car uses 36 litres of petrol for a 450 km journey from Kuala Lumpur to Kota Bharu.
[1 mark](a)Pilih kadar penggunaan petrol kereta itu.Choose the rate of petrol consumption of the car.Show answerHide answer
12.5 km/liter
450 ÷ 36 = 12.5 km per litre.
[2 marks](b)Hitung isi padu petrol, dalam liter, yang diperlukan untuk perjalanan sejauh 600 km pada kadar yang sama.Calculate the volume of petrol, in litres, needed for a 600 km journey at the same rate.
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[1 mark](c)Pada kadar yang sama, jika isi padu petrol yang digunakan ialah dua kali ganda, maka jarak perjalanan juga dua kali ganda. Adakah pernyataan ini betul atau salah?At the same rate, if twice the volume of petrol is used, then the distance travelled is also twice as far. Is this statement true or false?Show answerHide answer
True
At a constant rate of 12.5 km per litre, 2 × 36 = 72 litres gives 72 × 12.5 = 900 km = 2 × 450 km, so the distance doubles too.
For the teacher: Applying, medium difficulty, Chapter 4, standard 4.4
Textbook p. 88
23
Question 23
Jawab soalan-soalan yang berikut tentang ketaksamaan linear.Answer the following questions about linear inequalities.
[1 mark](a)Rajah 6 menunjukkan satu garis nombor. Pilih ketaksamaan linear yang diwakili oleh garis nombor itu.Diagram 6 shows a number line. Choose the linear inequality represented by the number line.Rajah 6Diagram 6Show answerHide answer
x > −2
The open circle means −2 is not included and the arrow points to the right (greater values), so x > −2.
[1 mark](b)Laju, v km/j, sebuah kereta di jalan raya bandar tidak boleh melebihi 60 km/j. Pilih ketaksamaan yang mewakili situasi ini.The speed, v km/h, of a car on a city road must not exceed 60 km/h. Choose the inequality that represents this situation.Show answerHide answer
v ≤ 60
'Not exceed 60' means 60 or less, so v ≤ 60.
[2 marks](c)Selesaikan ketaksamaan linear 3x + 4 ≥ 19.Solve the linear inequality 3x + 4 ≥ 19.
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For the teacher: Applying, low difficulty, Chapter 7, standard 7.2
Textbook p. 160
24
Question 24
Rajah 7 menunjukkan pelan sebuah tempat letak motosikal berbentuk segi empat tepat P yang dilukis pada grid segi empat sama.Diagram 7 shows the plan of a rectangular motorcycle park P drawn on a grid of squares.
Rajah 7Diagram 7
[1 mark](a)Nyatakan perimeter, dalam m, segi empat tepat P.State the perimeter, in m, of rectangle P.
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[1 mark](b)Majlis bandar raya ingin membina sebuah tempat letak motosikal berbentuk segi empat tepat yang lain dengan perimeter yang sama seperti P tetapi dengan luas yang paling besar. Sisi-sisinya ialah nombor bulat dalam m. Reka bentuk tempat letak motosikal itu dengan menyatakan panjang dan lebarnya.The city council wants to build another rectangular motorcycle park with the same perimeter as P but with the largest possible area. Its sides are whole numbers of metres. Design the motorcycle park by stating its length and width.
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[2 marks](c)Rajah 8 menunjukkan sebuah papan tanda berbentuk lelayang di pintu masuk tempat letak motosikal itu. Hitung luas, dalam m2, papan tanda itu.Diagram 8 shows a kite-shaped signboard at the entrance of the motorcycle park. Calculate the area, in m2, of the signboard.Rajah 8Diagram 8
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For the teacher: Creating, high difficulty, Chapter 10, standard 10.3
Textbook p. 240
25
Question 25
Gambar rajah Venn dalam Rajah 9 menunjukkan nombor laluan bas di sebuah terminal, dengan set semesta ξ = {x : x ialah integer, 1 ≤ x ≤ 12}, P = {nombor genap} dan Q = {gandaan 4}.The Venn diagram in Diagram 9 shows the route numbers of the buses at a terminal, with the universal set ξ = {x : x is an integer, 1 ≤ x ≤ 12}, P = {even numbers} and Q = {multiples of 4}.
Rajah 9Diagram 9
[1 mark](a)Pilih simbol yang betul untuk melengkapkan pernyataan Q ___ P.Choose the correct symbol to complete the statement Q ___ P.Show answerHide answer
⊂
Every element of Q is also an element of P, so Q is a subset of P: Q ⊂ P. ∈ and ∉ are used for single elements, not sets.
[1 mark](b)Nyatakan n(P').State n(P').
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[1 mark](c)8 ∈ Q. Adakah pernyataan ini betul atau salah?8 ∈ Q. Is this statement true or false?Show answerHide answer
True
8 is a multiple of 4, so 8 is an element of Q.
[1 mark](d)Nyatakan n(Q').State n(Q').
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For the teacher: Understanding, low difficulty, Chapter 11, standard 11.2
Textbook p. 257
Bahagian CSection C
60 marks
Jawab semua soalan.Answer all questions.
26
Question 26
Jawab semua soalan berikut tentang persamaan linear.Answer all the following questions on linear equations.
[3 marks](a)Selesaikan persamaan linear 5(x − 2) = 3x + 4.Solve the linear equation 5(x − 2) = 3x + 4.
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[1 mark](b)Sebuah tempat letak kenderaan di sebuah pusat beli-belah mempunyai x buah kereta dan y buah motosikal. Jumlah bilangan roda ialah 140. Tulis satu persamaan linear dalam dua pemboleh ubah bagi situasi ini. (Setiap kereta mempunyai 4 roda dan setiap motosikal mempunyai 2 roda.)A car park at a shopping centre has x cars and y motorcycles. The total number of wheels is 140. Write a linear equation in two variables for this situation. (Each car has 4 wheels and each motorcycle has 2 wheels.)
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[4 marks](c)Jumlah bilangan kenderaan di tempat letak kenderaan itu ialah 45. Dengan menggunakan persamaan di (b), hitung bilangan kereta dan bilangan motosikal.The total number of vehicles in the car park is 45. Using the equation in (b), calculate the number of cars and the number of motorcycles.
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For the teacher: Applying, low difficulty, Chapter 6, standard 6.3
Textbook p. 139
27
Question 27
Rajah 10 menunjukkan kedudukan rumah Amir, P, sebuah simpang jalan, Q, dan sebuah stesen LRT, R. Amir biasanya berjalan dari P ke Q dan kemudian ke R.Diagram 10 shows the positions of Amir's house, P, a road junction, Q, and an LRT station, R. Amir usually walks from P to Q and then to R.
Rajah 10Diagram 10
[1 mark](a)Namakan hipotenus bagi segi tiga PQR.Name the hypotenuse of triangle PQR.
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[2 marks](b)Sebuah laluan pejalan kaki baharu dibina terus dari P ke R. Hitung jarak, dalam km, laluan baharu itu.A new footpath is built directly from P to R. Calculate the length, in km, of the new footpath.
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[2 marks](c)Berapakah jarak, dalam km, yang dapat dijimatkan oleh Amir jika dia menggunakan laluan baharu itu?How much distance, in km, can Amir save if he uses the new footpath?
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[3 marks](d)Sebuah papan iklan berbentuk segi tiga di stesen LRT itu mempunyai sisi 7 cm, 24 cm dan 25 cm pada lukisan pelannya. Tentukan sama ada papan iklan itu berbentuk segi tiga bersudut tegak. Tunjukkan jalan kerja anda.A triangular advertisement board at the LRT station has sides of 7 cm, 24 cm and 25 cm on its plan drawing. Determine whether the board is a right-angled triangle. Show your working.
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For the teacher: Applying, low difficulty, Chapter 13, standard 13.2
Textbook p. 301
28
Question 28
Jawab semua soalan berikut.Answer all the following questions.
[2 marks](a)Cari nilai bagi (i) √(21⁄4) dan (ii) ∛(−216).Find the value of (i) √(21⁄4) and (ii) ∛(−216).
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[4 marks](b)Sebuah dataran di tengah bandar berbentuk segi empat sama dengan luas 1 225 m2. Pagar akan dipasang di sekeliling dataran itu dengan kos RM18 bagi setiap meter. Hitung jumlah kos, dalam RM, untuk memasang pagar itu.A square plaza in the city centre has an area of 1 225 m2. A fence is to be built around the plaza at a cost of RM18 per metre. Calculate the total cost, in RM, of building the fence.
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[2 marks](c)Sebuah tangki air berbentuk kubus di atas bumbung sebuah terminal bas mempunyai isi padu 3.375 m3. Hitung panjang, dalam m, sisi tangki itu.A cube-shaped water tank on the roof of a bus terminal has a volume of 3.375 m3. Calculate the length, in m, of a side of the tank.
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[2 marks](d)Hitung nilai bagi (−4)3 + √144 × 2.Calculate the value of (−4)3 + √144 × 2.
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For the teacher: Applying, medium difficulty, Chapter 3, standard 3.1
Textbook p. 54
29
Question 29
Jawab semua soalan berikut tentang poligon.Answer all the following questions on polygons.
[1 mark](a)Sebuah bangunan stesen bas mempunyai lantai berbentuk poligon dengan 7 sisi. Pilih nama poligon itu.A bus station building has a floor in the shape of a polygon with 7 sides. Choose the name of the polygon.Show answerHide answer
Heptagon
A polygon with 7 sides is a heptagon (5 pentagon, 6 hexagon, 8 octagon).
[2 marks](b)Dalam Rajah 11, ABC ialah sebuah segi tiga sama kaki dengan AB = AC. Cari nilai x.In Diagram 11, ABC is an isosceles triangle with AB = AC. Find the value of x.Rajah 11Diagram 11
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[3 marks](c)Dalam Rajah 12, PQRS ialah sebuah segi empat selari. Cari nilai y dan nilai z.In Diagram 12, PQRS is a parallelogram. Find the values of y and z.Rajah 12Diagram 12
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[2 marks](d)Dalam Rajah 13, KLN ialah garis lurus. Cari nilai x.In Diagram 13, KLN is a straight line. Find the value of x.Rajah 13Diagram 13
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[2 marks](e)Nyatakan dua sifat bagi sebuah rombus.State two properties of a rhombus.
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For the teacher: Applying, low difficulty, Chapter 9, standard 9.2
Textbook p. 208
30
Question 30
Jawab semua soalan berikut tentang nombor nisbah.Answer all the following questions on rational numbers.
[1 mark](a)Rajah 14 menunjukkan satu garis nombor. Nyatakan nilai P.Diagram 14 shows a number line. State the value of P.Rajah 14Diagram 14
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[2 marks](b)Sebuah kapal terbang berlepas dari Kuala Lumpur yang bersuhu 31.5°C dan mendarat di Seoul yang bersuhu −4.8°C. Hitung beza suhu, dalam °C, antara dua bandar itu.An aeroplane takes off from Kuala Lumpur, where the temperature is 31.5°C, and lands in Seoul, where the temperature is −4.8°C. Calculate the difference in temperature, in °C, between the two cities.
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[3 marks](c)Hitung nilai bagi −2⁄3 + 5⁄6 × (−1.2) dan ungkapkan jawapan dalam bentuk pecahan.Calculate the value of −2⁄3 + 5⁄6 × (−1.2) and give the answer as a fraction.
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[3 marks](d)Baki dalam kad perjalanan Siti ialah RM45.60. Dia melalui tol sebanyak 4 kali dengan bayaran RM3.85 setiap kali. Kemudian, dia menambah nilai kad sebanyak RM20 dan membayar tempat letak kereta selama 2.5 jam pada kadar RM1.20 sejam dengan kad yang sama. Hitung baki, dalam RM, dalam kad itu sekarang.The balance on Siti's travel card is RM45.60. She passes through a toll 4 times, paying RM3.85 each time. Then she reloads the card with RM20 and pays for 2.5 hours of parking at RM1.20 per hour with the same card. Calculate the balance, in RM, on the card now.
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[3 marks](e)Siti menaiki LRT 2 kali sehari selama 22 hari dalam sebulan. Dia boleh membayar RM2.40 bagi setiap perjalanan atau membeli pas bulanan berharga RM50 untuk perjalanan tanpa had. Siti berkata, "Bayar bagi setiap perjalanan lebih jimat kerana RM2.40 jauh lebih murah daripada RM50." Adakah anda setuju dengan Siti? Berikan justifikasi dengan pengiraan.Siti takes the LRT 2 times a day for 22 days in a month. She can pay RM2.40 for each trip or buy a monthly pass costing RM50 for unlimited trips. Siti says, "Paying for each trip is cheaper because RM2.40 is much less than RM50." Do you agree with Siti? Justify your answer with calculations.
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For the teacher: Evaluating, medium difficulty, Chapter 1, standard 1.5
Textbook p. 23
31
Question 31
Jawab semua soalan berikut tentang garis dan sudut.Answer all the following questions on lines and angles.
[1 mark](a)Pilih jenis sudut bagi sudut 245°.Choose the type of angle for an angle of 245°.Show answerHide answer
Reflex angle
A reflex angle is more than 180° and less than 360°.
[2 marks](b)Dalam Rajah 15, AOB ialah garis lurus. Cari nilai x.In Diagram 15, AOB is a straight line. Find the value of x.Rajah 15Diagram 15
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[4 marks](c)Rajah 16 menunjukkan dua batang jalan yang selari, AB dan CD, yang dilintasi oleh landasan kereta api EF. Cari nilai p, q dan r.Diagram 16 shows two parallel roads, AB and CD, crossed by a railway line EF. Find the values of p, q and r.Rajah 16Diagram 16
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[2 marks](d)Rajah 17 menunjukkan jam di sebuah stesen kereta api ketika sebuah kereta api bertolak pada jam 4:00. Hitung sudut refleks di antara jarum jam dan jarum minit.Diagram 17 shows the clock at a railway station when a train leaves at 4:00. Calculate the reflex angle between the hour hand and the minute hand.Rajah 17Diagram 17
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[3 marks](e)Seorang juruukur mengukur sudut pedalaman di antara dua batang jalan dan sebuah jalan lintang. Dua sudut pedalaman pada sebelah yang sama ialah 74° dan 104°. Dia berkata kedua-dua jalan itu selari. (i) Adakah anda setuju? Berikan justifikasi. (ii) Jika sudut 74° itu tidak berubah, berapakah sepatutnya sudut yang satu lagi supaya kedua-dua jalan itu selari?A surveyor measures the interior angles between two roads and a crossing road. The two interior angles on the same side are 74° and 104°. He says that the two roads are parallel. (i) Do you agree? Justify your answer. (ii) If the 74° angle does not change, what should the other angle be for the two roads to be parallel?
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For the teacher: Evaluating, high difficulty, Chapter 8, standard 8.3
