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
Jadual 1 menunjukkan suhu di empat tempat di kantin sekolah. Antara berikut, yang manakah menyusun suhu itu mengikut tertib menaik?Table 1 shows the temperatures at four places in the school canteen. Which of the following arranges the temperatures in ascending order?
Jadual 1Table 1
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B
On a number line −18 is furthest to the left, then −2, then 4, then 27. The bigger the negative number looks, the smaller it is: −18 < −2.
For the teacher: Understanding, low difficulty, Chapter 1, standard 1.1
Textbook p. 6
2
Question 2
Hitung nilai bagi (−2.4 + 15) ÷ (−0.4).Calculate the value of (−2.4 + 15) ÷ (−0.4).
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D
1/5 = 0.2, so −2.4 + 0.2 = −2.2. Then −2.2 ÷ (−0.4) = 5.5 (negative ÷ negative = positive).
For the teacher: Applying, medium difficulty, Chapter 1, standard 1.5
Textbook p. 24
3
Question 3
Kantin sekolah menjual 120 bungkus nasi lemak pada suatu hari. Ungkapkan 120 sebagai hasil darab faktor perdananya.The school canteen sells 120 packets of nasi lemak on a day. Express 120 as the product of its prime factors.
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A
120 = 2 × 2 × 2 × 3 × 5 = 2³ × 3 × 5. In the other options 10, 4 and 15 are not prime numbers.
For the teacher: Remembering, low difficulty, Chapter 2, standard 2.1
Textbook p. 33
4
Question 4
Bas sekolah laluan X tiba di pintu pagar sekolah setiap 12 minit dan bas laluan Y tiba setiap 18 minit. Kedua-dua bas tiba bersama-sama pada pukul 7.00 pagi. Pada pukul berapakah kedua-dua bas itu tiba bersama-sama sekali lagi?The route X school bus arrives at the school gate every 12 minutes and the route Y bus arrives every 18 minutes. Both buses arrive together at 7.00 a.m. At what time do both buses next arrive together?
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C
LCM of 12 and 18: 12 = 2² × 3, 18 = 2 × 3², LCM = 2² × 3² = 36. 7.00 a.m. + 36 minutes = 7.36 a.m. (10.36 a.m. uses 12 × 18 = 216 minutes, which is a common multiple but not the lowest.)
For the teacher: Applying, medium difficulty, Chapter 2, standard 2.2
Textbook p. 42
5
Question 5
Sebuah papan kenyataan di kantin berbentuk segi empat sama dengan luas 1.44 m2. Cari panjang sisi papan kenyataan itu.A notice board in the canteen is a square with an area of 1.44 m2. Find the length of a side of the notice board.
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C
Side = √1.44 = 1.2 m, because 1.2 × 1.2 = 1.44. (0.72 m is 1.44 ÷ 2, which is not a square root.)
For the teacher: Applying, low difficulty, Chapter 3, standard 3.1
Textbook p. 51
6
Question 6
Hitung nilai bagi (−0.3)3 + ∛0.008.Calculate the value of (−0.3)3 + ∛0.008.
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A
(−0.3)³ = −0.027 (odd power of a negative number is negative). ∛0.008 = 0.2. −0.027 + 0.2 = 0.173.
For the teacher: Applying, medium difficulty, Chapter 3, standard 3.2
Textbook p. 61
7
Question 7
Pada suatu pagi, kantin sekolah menjual 45 bungkus nasi lemak dan 60 keping sandwic. Cari nisbah bilangan nasi lemak yang dijual kepada jumlah makanan yang dijual.One morning, the school canteen sold 45 packets of nasi lemak and 60 sandwiches. Find the ratio of the number of nasi lemak sold to the total number of food items sold.
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B
Total = 45 + 60 = 105. 45 : 105 = 3 : 7 (divide both by 15). 3 : 4 compares nasi lemak with sandwiches, not with the total.
For the teacher: Understanding, low difficulty, Chapter 4, standard 4.1
Textbook p. 77
8
Question 8
Seorang pembantu kantin dapat menggoreng 120 biji karipap dalam masa 40 minit. Pada kadar yang sama, berapakah masa, dalam minit, yang diambil untuk menggoreng 210 biji karipap?A canteen helper can fry 120 curry puffs in 40 minutes. At the same rate, how long, in minutes, does it take to fry 210 curry puffs?
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D
Rate = 120 ÷ 40 = 3 curry puffs per minute. Time = 210 ÷ 3 = 70 minutes.
For the teacher: Applying, low difficulty, Chapter 4, standard 4.3
Textbook p. 85
9
Question 9
Antara pasangan sebutan algebra berikut, yang manakah sebutan serupa?Which of the following pairs of algebraic terms are like terms?
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A
Like terms have the same variables with the same powers. xy and yx are the same product, so 3xy and −7yx are like terms. The others differ in a variable or a power.
For the teacher: Remembering, low difficulty, Chapter 5, standard 5.1
4p − 3q − p + 5q + 2p + 2q = (4 − 1 + 2)p + (−3 + 5 + 2)q = 5p + 4q. The minus sign before the bracket changes −5q to +5q.
For the teacher: Applying, medium difficulty, Chapter 5, standard 5.2
Textbook p. 115
11
Question 11
Aina membeli 3 buah buku nota yang sama harga di koperasi sekolah. Dia membayar RM20.00 dan menerima baki RM4.10. Berapakah harga sebuah buku nota itu?Aina buys 3 notebooks of the same price at the school cooperative shop. She pays RM20.00 and receives RM4.10 change. What is the price of one notebook?
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C
Let x be the price. 3x + 4.10 = 20.00, so 3x = 15.90 and x = RM5.30.
For the teacher: Applying, low difficulty, Chapter 6, standard 6.1
Textbook p. 126
12
Question 12
Di kantin sekolah, harga 2 gelas air dan 3 biji karipap ialah RM5.10. Harga 1 gelas air dan 2 biji karipap ialah RM3.00. Berapakah harga segelas air?At the school canteen, 2 glasses of drink and 3 curry puffs cost RM5.10. 1 glass of drink and 2 curry puffs cost RM3.00. What is the price of a glass of drink?
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D
Let d = drink, k = curry puff. 2d + 3k = 5.10 and d + 2k = 3.00. From the second, d = 3.00 − 2k. Substitute: 6.00 − 4k + 3k = 5.10, so k = 0.90 and d = 3.00 − 1.80 = RM1.20. (RM0.90 is the price of a curry puff.)
For the teacher: Analysing, high difficulty, Chapter 6, standard 6.3
Textbook p. 140
13
Question 13
Selesaikan ketaksamaan linear 7 − 3x ≥ 19.Solve the linear inequality 7 − 3x ≥ 19.
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B
−3x ≥ 19 − 7 = 12. Dividing both sides by −3 reverses the inequality symbol: x ≤ −4.
For the teacher: Applying, low difficulty, Chapter 7, standard 7.2
Textbook p. 159
14
Question 14
Rajah 1 menunjukkan dua garis lurus selari, PQ dan RS, yang dipotong oleh garis rentas lintang TU. Cari nilai x.Diagram 1 shows two parallel straight lines, PQ and RS, cut by the transversal TU. Find the value of x.
Rajah 1Diagram 1
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A
∠QTU and ∠TUS are interior angles between the parallel lines on the same side of the transversal, so they add up to 180°: x = 180° − 115° = 65°.
For the teacher: Applying, low difficulty, Chapter 8, standard 8.3
Textbook p. 190
15
Question 15
Rajah 2 menunjukkan papan tanda kantin berbentuk segi tiga PQR. QRS ialah garis lurus. Cari ∠QPR.Diagram 2 shows a canteen signboard in the shape of triangle PQR. QRS is a straight line. Find ∠QPR.
Rajah 2Diagram 2
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C
The exterior angle of a triangle equals the sum of the two opposite interior angles: ∠QPR + 48° = 115°, so ∠QPR = 67°.
For the teacher: Applying, medium difficulty, Chapter 9, standard 9.2
Textbook p. 209
16
Question 16
Rajah 3 menunjukkan sebuah batas bunga berbentuk trapezium di hadapan kantin. Hitung luas batas bunga itu.Diagram 3 shows a trapezium-shaped flower bed in front of the canteen. Calculate the area of the flower bed.
Rajah 3Diagram 3
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D
Area of trapezium = ½ × (sum of parallel sides) × height = ½ × (6 + 10) × 4 = 32 m².
For the teacher: Applying, low difficulty, Chapter 10, standard 10.2
Textbook p. 235
17
Question 17
Diberi set P = {x : x ialah faktor bagi 12}. Antara berikut, yang manakah betul?Given set P = {x : x is a factor of 12}. Which of the following is correct?
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C
P = {1, 2, 3, 4, 6, 12}. 6 is a factor of 12, so 6 ∈ P. 5 and 8 are not factors of 12, and n(P) = 6.
For the teacher: Understanding, low difficulty, Chapter 11, standard 11.1
Textbook p. 250
18
Question 18
Jadual 2 menunjukkan minuman kegemaran 40 orang murid kelas 1 Bestari. Data itu akan diwakilkan dengan sebuah carta pai. Hitung sudut sektor yang mewakili Milo.Table 2 shows the favourite drinks of 40 pupils of class 1 Bestari. The data will be represented by a pie chart. Calculate the angle of the sector that represents Milo.
Jadual 2Table 2
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A
Angle of sector = 12/40 × 360° = 108°.
For the teacher: Applying, low difficulty, Chapter 12, standard 12.1
Textbook p. 271
19
Question 19
Carta palang dalam Rajah 4 menunjukkan bilangan karipap yang dijual oleh kantin sekolah dalam seminggu. Setiap biji karipap dijual pada harga RM0.70. Pengusaha kantin menyasarkan jualan karipap sekurang-kurangnya RM180 seminggu. Berapakah bilangan minimum karipap lagi yang perlu dijual untuk mencapai sasaran itu?The bar chart in Diagram 4 shows the number of curry puffs sold by the school canteen in a week. Each curry puff is sold at RM0.70. The canteen operator targets curry puff sales of at least RM180 a week. What is the minimum number of extra curry puffs that must be sold to reach the target?
Rajah 4Diagram 4
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D
Total sold = 40 + 55 + 35 + 70 + 50 = 250. Sales = 250 × RM0.70 = RM175. Short by RM5. RM5 ÷ RM0.70 = 7.14…, so 7 more is not enough (RM179.90); at least 8 more curry puffs are needed.
For the teacher: Analysing, high difficulty, Chapter 12, standard 12.1
Textbook p. 277
20
Question 20
Rajah 5 menunjukkan sebuah sisi empat PQRS yang dibentuk oleh dua segi tiga bersudut tegak, PQR dan PRS. Hitung perimeter, dalam cm, sisi empat PQRS.Diagram 5 shows a quadrilateral PQRS formed by two right-angled triangles, PQR and PRS. Calculate the perimeter, in cm, of quadrilateral PQRS.
Rajah 5Diagram 5
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B
PR² = 9² + 12² = 225, PR = 15 cm. PS² = 15² + 8² = 289, PS = 17 cm. Perimeter = 9 + 12 + 8 + 17 = 46 cm. (PR is a diagonal, not part of the perimeter.)
For the teacher: Analysing, high difficulty, Chapter 13, standard 13.1
Textbook p. 296
Bahagian BSection B
20 marks
Jawab semua soalan.Answer all questions.
21
Question 21
Rajah 6 menunjukkan suatu garis nombor. Titik P dan titik Q mewakili suhu, dalam °C, di dalam peti sejuk beku dan peti sejuk minuman di kantin sekolah.Diagram 6 shows a number line. Points P and Q represent the temperatures, in °C, inside the freezer and the drinks refrigerator in the school canteen.
Rajah 6Diagram 6
[1 mark](a)Pilih nilai P.Choose the value of P.Show answerHide answer
−18
Each interval is 0 − (−6) = 6 ÷ 2 = 3. P is 4 intervals to the left of −6: −6 − 12 = −18.
[1 mark](b)Suhu di dalam peti sejuk minuman, Q, lebih tinggi daripada suhu di dalam peti sejuk beku, P. Pilih beza suhu itu, dalam °C.The temperature in the drinks refrigerator, Q, is higher than the temperature in the freezer, P. Choose the difference in temperature, in °C.Show answerHide answer
24
Q = 6. Difference = 6 − (−18) = 6 + 18 = 24 °C.
[1 mark](c)Tandakan BENAR atau PALSU: −34 > −23Mark TRUE or FALSE: −34 > −23Show answerHide answer
False
−3/4 = −9/12 and −2/3 = −8/12. −9/12 is further left on the number line, so −3/4 < −2/3.
[1 mark](d)Pilih nilai bagi −25 + 0.3.Choose the value of −25 + 0.3.Show answerHide answer
−0.1
−2/5 = −0.4. −0.4 + 0.3 = −0.1.
For the teacher: Understanding, low difficulty, Chapter 1, standard 1.1
Textbook p. 4
22
Question 22
Jadual 3 menunjukkan harga tiga pek air mineral yang boleh dibeli oleh pengusaha kantin sekolah. Semua botol adalah sama saiz.Table 3 shows the prices of three packs of mineral water that the school canteen operator can buy. All the bottles are the same size.
Jadual 3Table 3
[1 mark](a)Pilih harga sebotol air mineral dalam pek Q.Choose the price of one bottle of mineral water in pack Q.Show answerHide answer
RM0.75
RM18.00 ÷ 24 = RM0.75 per bottle.
[1 mark](b)Pek yang manakah paling menjimatkan?Which pack is the cheapest per bottle?Show answerHide answer
Q
Price per bottle: P = 9.60 ÷ 12 = RM0.80, Q = RM0.75, R = 5.10 ÷ 6 = RM0.85. Q has the lowest price per bottle.
[1 mark](c)Untuk memasak nasi lemak, nisbah jisim beras kepada jisim santan ialah 5 : 2. Pengusaha kantin menggunakan 3 kg beras. Pilih jisim santan yang diperlukan.To cook nasi lemak, the ratio of the mass of rice to the mass of coconut milk is 5 : 2. The canteen operator uses 3 kg of rice. Choose the mass of coconut milk needed.Show answerHide answer
1.2 kg
5 parts = 3 kg, so 1 part = 0.6 kg. Coconut milk = 2 parts = 1.2 kg.
[1 mark](d)Tandakan BENAR atau PALSU: Jika 3 biji karipap berharga RM1.50, maka 8 biji karipap berharga RM4.00.Mark TRUE or FALSE: If 3 curry puffs cost RM1.50, then 8 curry puffs cost RM4.00.Show answerHide answer
For the teacher: Analysing, high difficulty, Chapter 4, standard 4.2
Textbook p. 82
23
Question 23
Jawab soalan-soalan berikut tentang ketaksamaan.Answer the following questions about inequalities.
[1 mark](a)Sebuah bas sekolah boleh membawa paling banyak 40 orang murid. Diberi x ialah bilangan murid di dalam bas itu. Pilih ketaksamaan yang betul.A school bus can carry at most 40 pupils. Given x is the number of pupils on the bus. Choose the correct inequality.Show answerHide answer
x ≤ 40
'At most 40' means 40 or fewer: x ≤ 40.
[1 mark](b)Seorang murid mesti mempunyai ketinggian sekurang-kurangnya 150 cm untuk menyertai pasukan bola jaring sekolah. Diberi h ialah ketinggian, dalam cm, murid itu. Pilih ketaksamaan yang betul.A pupil must be at least 150 cm tall to join the school netball team. Given h is the height, in cm, of the pupil. Choose the correct inequality.Show answerHide answer
h ≥ 150
'At least 150' means 150 or more: h ≥ 150.
[1 mark](c)Rajah 7 menunjukkan suatu ketaksamaan linear pada garis nombor. Pilih ketaksamaan itu.Diagram 7 shows a linear inequality on a number line. Choose the inequality.Rajah 7Diagram 7Show answerHide answer
x > −2
The open circle means −2 is not included, and the arrow points to the right (greater values): x > −2.
[1 mark](d)Tandakan BENAR atau PALSU: Jika a < b, maka −a < −b.Mark TRUE or FALSE: If a < b, then −a < −b.Show answerHide answer
False
Multiplying both sides by −1 reverses the inequality symbol: if a < b, then −a > −b (e.g. 2 < 5 but −2 > −5).
For the teacher: Understanding, low difficulty, Chapter 7, standard 7.1
Textbook p. 151
24
Question 24
Rajah 8 menunjukkan permukaan sebuah meja di kantin sekolah yang berbentuk poligon.Diagram 8 shows the top of a table in the school canteen in the shape of a polygon.
Rajah 8Diagram 8
[1 mark](a)Pilih nama poligon itu.Choose the name of the polygon.Show answerHide answer
Hexagon
The polygon has 6 sides, so it is a hexagon.
[1 mark](b)Pilih bilangan pepenjuru poligon itu.Choose the number of diagonals of the polygon.Show answerHide answer
9
From each vertex, 3 diagonals can be drawn (not to itself or its two neighbours): 6 × 3 ÷ 2 = 9 diagonals.
[1 mark](c)Tandakan BENAR atau PALSU: Semua sudut pedalaman sebuah rombus ialah 90°.Mark TRUE or FALSE: All the interior angles of a rhombus are 90°.Show answerHide answer
False
A rhombus has 4 equal sides, but only its opposite angles are equal; they need not be 90°. (A rhombus with 90° angles is a square.)
[1 mark](d)Rajah 9 menunjukkan sebuah segi tiga sama kaki. Pilih nilai y.Diagram 9 shows an isosceles triangle. Choose the value of y.Rajah 9Diagram 9Show answerHide answer
70°
The base angles of an isosceles triangle are equal: y = (180° − 40°) ÷ 2 = 70°.
For the teacher: Understanding, low difficulty, Chapter 9, standard 9.1
Textbook p. 203
25
Question 25
Gambar rajah Venn dalam Rajah 10 menunjukkan nombor loker murid dalam kelas 1 Bestari. Set semesta ξ = {x : x ialah integer, 1 ≤ x ≤ 15}, P = {gandaan 3} dan Q = {gandaan 6}.The Venn diagram in Diagram 10 shows the locker numbers of the pupils in class 1 Bestari. The universal set ξ = {x : x is an integer, 1 ≤ x ≤ 15}, P = {multiples of 3} and Q = {multiples of 6}.
Rajah 10Diagram 10
[1 mark](a)Pilih nilai n(P').Choose the value of n(P').Show answerHide answer
10
P' is everything in ξ outside P: 15 − 5 = 10 elements.
[1 mark](b)Tandakan BENAR atau PALSU: Q ⊂ PMark TRUE or FALSE: Q ⊂ PShow answerHide answer
True
Every element of Q (6 and 12) is also in P, so Q is a subset of P.
[1 mark](c)Pilih bilangan subset bagi set Q.Choose the number of subsets of set Q.Show answerHide answer
4
Subsets of {6, 12}: { }, {6}, {12}, {6, 12}. That is 4 (= 2²) subsets.
[1 mark](d)Tandakan BENAR atau PALSU: 9 ∈ QMark TRUE or FALSE: 9 ∈ QShow answerHide answer
False
9 is a multiple of 3 but not of 6, so 9 ∈ P but 9 ∉ Q.
For the teacher: Applying, medium difficulty, Chapter 11, standard 11.2
Textbook p. 256
Bahagian CSection C
60 marks
Jawab semua soalan.Answer all questions.
26
Question 26
Kelab Matematik sedang membuat persediaan untuk Hari Kantin Sekolah.The Mathematics Club is getting ready for the School Canteen Day.
[2 marks](a)Ungkapkan 90 sebagai hasil darab faktor perdananya.Express 90 as the product of its prime factors.
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[2 marks](b)Kelab itu mempunyai 48 batang pen, 72 batang pensel dan 60 biji pemadam. Semua barang itu dibungkus sama rata ke dalam beberapa bungkusan hadiah tanpa baki. Hitung bilangan maksimum bungkusan hadiah yang dapat disediakan.The club has 48 pens, 72 pencils and 60 erasers. All the items are packed equally into some gift packs with nothing left over. Calculate the maximum number of gift packs that can be prepared.
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[1 mark](c)Berapakah bilangan pensel dalam setiap bungkusan hadiah itu?How many pencils are there in each gift pack?
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[3 marks](d)Kantin sekolah menerima bekalan roti setiap 4 hari, telur setiap 6 hari dan susu setiap 10 hari. Ketiga-tiga bekalan itu diterima pada hari yang sama pada 1 Mac 2026. Pada tarikh berapakah ketiga-tiga bekalan itu akan diterima pada hari yang sama sekali lagi?The school canteen receives bread every 4 days, eggs every 6 days and milk every 10 days. All three supplies arrived on the same day on 1 March 2026. On what date will all three supplies next arrive on the same day?
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March has 31 days: 1 March + 30 days = 31 March, + 30 more days = 30 April 2026.
Tick each point you got.
For the teacher: Applying, low difficulty, Chapter 2, standard 2.1
Textbook p. 35
27
Question 27
Sebuah gerai di kantin sekolah menjual semangkuk mi sup pada harga RMp dan segelas air pada harga RMd.A stall in the school canteen sells a bowl of noodle soup at RMp and a glass of drink at RMd.
[1 mark](a)Tulis satu ungkapan algebra bagi jumlah harga, dalam RM, untuk 3 mangkuk mi sup dan 4 gelas air.Write an algebraic expression for the total price, in RM, of 3 bowls of noodle soup and 4 glasses of drink.
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[2 marks](b)Seterusnya, hitung jumlah harga itu apabila p = 4.50 dan d = 1.20.Hence, calculate the total price when p = 4.50 and d = 1.20.
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[1 mark](c)Nyatakan pekali bagi x2 dalam sebutan −7x2y.State the coefficient of x2 in the term −7x2y.
For the teacher: Applying, low difficulty, Chapter 5, standard 5.2
Textbook p. 108
28
Question 28
Jawab soalan-soalan berikut.Answer the following questions.
[2 marks](a)Selesaikan persamaan linear 4(x − 3) = 2x + 6.Solve the linear equation 4(x − 3) = 2x + 6.
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[3 marks](b)Hana membeli n bungkus nasi lemak pada harga RM2.50 sebungkus dan 3 gelas air pada harga RM1.20 segelas di kantin. Dia membayar RM15.00 dan menerima baki RM1.40. Bentukkan satu persamaan linear dan seterusnya cari nilai n.Hana buys n packets of nasi lemak at RM2.50 a packet and 3 glasses of drink at RM1.20 a glass at the canteen. She pays RM15.00 and receives RM1.40 change. Form a linear equation and hence find the value of n.
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[1 mark](c)Tentukan sama ada (x, y) = (3, 2) ialah penyelesaian bagi persamaan linear 2x + 5y = 16.Determine whether (x, y) = (3, 2) is a solution of the linear equation 2x + 5y = 16.
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[4 marks](d)PIBG membeli 20 buah piala untuk Hari Sukan sekolah. Sebuah piala kecil berharga RM15 dan sebuah piala besar berharga RM25. Jumlah harga semua piala itu ialah RM380. Diberi x ialah bilangan piala kecil dan y ialah bilangan piala besar. Tulis dua persamaan linear dan seterusnya cari nilai x dan nilai y.The PTA buys 20 trophies for the school Sports Day. A small trophy costs RM15 and a big trophy costs RM25. The total price of all the trophies is RM380. Given x is the number of small trophies and y is the number of big trophies. Write two linear equations and hence find the values of x and y.
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For the teacher: Applying, low difficulty, Chapter 6, standard 6.1
Textbook p. 126
29
Question 29
Rajah 11 menunjukkan pelan lantai ruang makan kantin sekolah. Semua sudut ialah sudut tegak.Diagram 11 shows the floor plan of the school canteen dining area. All the corners are right angles.
Rajah 11Diagram 11
[2 marks](a)Hitung perimeter, dalam m, ruang makan itu.Calculate the perimeter, in m, of the dining area.
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[2 marks](b)Hitung luas, dalam m2, ruang makan itu.Calculate the area, in m2, of the dining area.
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[3 marks](c)Lantai ruang makan itu akan dipasang dengan jubin segi empat sama bersisi 50 cm. Jubin dijual dalam kotak berisi 20 keping pada harga RM45 sekotak. Hitung kos minimum untuk membeli jubin bagi seluruh lantai itu.The floor of the dining area will be laid with square tiles of side 50 cm. The tiles are sold in boxes of 20 at RM45 a box. Calculate the minimum cost of buying tiles for the whole floor.
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[3 marks](d)Kelab Alam Sekitar ingin membina sebuah kebun sayur berbentuk segi empat tepat (termasuk segi empat sama) di belakang kantin menggunakan 24 m pagar. Panjang dan lebar kebun itu ialah nombor bulat dalam meter. Tentukan panjang dan lebar kebun yang memberikan luas terbesar, dan nyatakan luas itu.The Nature Club wants to build a rectangular vegetable garden (a square is allowed) behind the canteen using 24 m of fencing. The length and width of the garden are whole numbers of metres. Determine the length and width of the garden that give the largest area, and state that area.
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For the teacher: Applying, medium difficulty, Chapter 10, standard 10.2
Textbook p. 233
30
Question 30
Jadual 4 menunjukkan makanan kegemaran 40 orang murid Tingkatan 1 dalam satu tinjauan kantin sekolah. Graf garis dalam Rajah 12 menunjukkan bilangan cawan minuman yang dijual oleh kantin itu dalam seminggu.Table 4 shows the favourite food of 40 Form 1 pupils in a school canteen survey. The line graph in Diagram 12 shows the number of cups of drinks sold by the canteen in a week.
Jadual 4Table 4
Rajah 12Diagram 12
[1 mark](a)Cari nilai x.Find the value of x.
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[3 marks](b)Data dalam Jadual 4 akan diwakilkan dengan sebuah carta pai. Hitung sudut sektor bagi setiap jenis makanan.The data in Table 4 will be represented by a pie chart. Calculate the angle of the sector for each type of food.
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[3 marks](c)Pengusaha kantin mendakwa bahawa lebih daripada separuh murid itu memilih nasi lemak atau roti canai. Adakah anda bersetuju? Berikan justifikasi anda dengan pengiraan.The canteen operator claims that more than half of the pupils chose nasi lemak or roti canai. Do you agree? Justify your answer with a calculation.
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[1 mark](d)Berdasarkan Rajah 12, nyatakan hari yang paling sedikit cawan minuman dijual.Based on Diagram 12, state the day on which the fewest cups of drinks were sold.
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[2 marks](e)Cari nisbah bilangan cawan yang dijual pada hari Rabu kepada bilangan cawan yang dijual pada hari Khamis dalam bentuk termudah.Find the ratio of the number of cups sold on Wednesday to the number of cups sold on Thursday in its simplest form.
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[2 marks](f)Kantin itu memperoleh keuntungan 40 sen bagi setiap cawan minuman yang dijual. Hitung jumlah keuntungan, dalam RM, daripada jualan minuman dalam minggu itu.The canteen makes a profit of 40 sen on every cup of drink sold. Calculate the total profit, in RM, from the drinks sold that week.
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For the teacher: Evaluating, medium difficulty, Chapter 12, standard 12.1
Textbook p. 271
31
Question 31
Rajah 13 menunjukkan sebuah segi tiga bersudut tegak PQR dan Rajah 14 menunjukkan tanjakan untuk kerusi roda di pintu masuk kantin.Diagram 13 shows a right-angled triangle PQR and Diagram 14 shows the wheelchair ramp at the canteen entrance.
Rajah 13Diagram 13
Rajah 14Diagram 14
[1 mark](a)Namakan hipotenus bagi segi tiga PQR dalam Rajah 13.Name the hypotenuse of triangle PQR in Diagram 13.
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[2 marks](b)Mei Ling mempunyai tiga batang kayu dengan panjang 9 cm, 12 cm dan 16 cm untuk membina bingkai segi tiga bagi projek seni. Tentukan sama ada bingkai itu ialah segi tiga bersudut tegak.Mei Ling has three sticks of lengths 9 cm, 12 cm and 16 cm to build a triangular frame for an art project. Determine whether the frame is a right-angled triangle.
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[2 marks](c)Berdasarkan Rajah 14, hitung panjang permukaan tanjakan, k, dalam m.Based on Diagram 14, calculate the length of the ramp surface, k, in m.
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[3 marks](d)Rajah 15 menunjukkan padang sekolah berbentuk segi empat tepat ABCD. Aina berjalan dari A ke C secara terus merentasi padang dan tidak melalui B. Berapa meterkah jarak yang dijimatkan oleh Aina?Diagram 15 shows the rectangular school field ABCD. Aina walks from A to C straight across the field instead of going through B. How many metres shorter is her walk?Rajah 15Diagram 15
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[2 marks](e)Encik Rahman menggunakan sebatang tangga yang panjangnya 2.5 m untuk membaiki kipas di dinding kantin. Hujung atas tangga mesti mencapai sekurang-kurangnya 2.3 m dari lantai. Dia meletakkan kaki tangga 0.7 m dari dinding seperti dalam Rajah 16. Adakah tangga itu mencapai ketinggian yang diperlukan? Tunjukkan pengiraan anda.Encik Rahman uses a 2.5 m ladder to repair a fan on the canteen wall. The top of the ladder must reach at least 2.3 m above the floor. He places the foot of the ladder 0.7 m from the wall as in Diagram 16. Does the ladder reach the height needed? Show your calculation.Rajah 16Diagram 16
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[2 marks](f)Untuk keselamatan, kaki tangga mesti sekurang-kurangnya 0.6 m dari dinding. Hitung jarak terjauh kaki tangga dari dinding supaya hujung atasnya masih mencapai 2.3 m. Seterusnya, cadangkan julat jarak kaki tangga dari dinding yang selamat dan sesuai untuk kerja itu. Beri jawapan betul kepada dua tempat perpuluhan.For safety, the foot of the ladder must be at least 0.6 m from the wall. Calculate the greatest distance of the foot of the ladder from the wall so that its top still reaches 2.3 m. Hence, propose the range of distances of the foot from the wall that is safe and suitable for the job. Give your answer correct to two decimal places.
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For the teacher: Creating, high difficulty, Chapter 13, standard 13.1
