1 Rajah 1 menunjukkan sebuah kotak berbentuk kubus. Luas setiap permukaan kotak tersebut adalah 2 500 mm^2. Diagram 1 shows a cubical shaped box. The area of each surface of the box is 2 500 mm^2. Cari nilai \sqrt{\frac{x}{2}}, dalam mm. Find the value of \sqrt{\frac{x}{2}}, in mm. star A 5 B 25 C 50 D 250 T4 Chapter 1.1k Solving Problems Involving Quadratic Equations
2 Antara berikut, yang manakah merupakan suatu jujukan? Which of the following is a sequence? star A -9, -18, 0, 18, 9, ... B 4, 7, 12, 18, 19, ... C 5, 1.5, 0.45, 0.135, 0.0405, ... D 28, 23, 18, 12, 8, ... T4 Chapter 3.2e Forming a Strong Inductive Argument
3 Syarikat Percetakan Millenium menggunakan kadbod dengan ketebalan 1.2 x 10^-1 cm untuk menghasilkan kotak. Kadbod yang digunakan disimpan di dalam sebuah stor. Terdapat dua timbunan kadbod di dalam stor tersebut. Tinggi timbunan kadbod yang disimpan masing-masing adalah 1.53 m dan 1.65 m. Hitung bilangan kadbod yang disimpan di dalam stor tersebut. Millenium Printing Company uses cardboard with a thickness of 1.2 x 10^-1 cm to produce boxes. The cardboards that are use are kept in a store. There are two stacks of cardboards in the store. The height of the stored cardboard stacks are 1.53 m and 1.65 m respectively. Calculate the number of cardboards stored in the store. star A 1.82 x 10^2 B 2.65 x 10^2 C 1.82 x 10^3 D 2.65 x 10^3
4 Tinggi Shimi, Aien dan Midah masing-masing ialah 10100001_2 cm, 231_8 cm dan 1123_5 cm. Hitung purata ketinggian mereka, dalam cm. Height of Shimi, Aien and Midah are 10100001_2 cm, 231_8 cm and 1123_5 cm respectively. Calculate the average height of them, in cm. star A 159 B 160 C 161 D 163 T4 Chapter 2.1b Determining the Number Value of a Number in Various Bases
5 Rajah 2 menunjukkan kadar semasa pertukaran mata wang Ringgit Malaysia kepada Dolar US. Diagram 2 shows the current exchange rate of Malaysia Ringgit to US Dollar. Encik Aiman ingin menghadiahkan sebuah beg tangan berjenama kepada isterinya yang berharga USD1 370. Hitung harga, dalam RM terdekat, yang perlu Encik Aiman bayar. Encik Aiman wanted to present a branded handbag to his wife which cost USD1 370. Calculate the price, to the nearest RM, that should Encik Aiman pay. star A 6 524 B 5 750 C 5 480 D 2 877
6 Diberi bahawa 9m^2 = \frac{4p + r^2}{p}. Ungkapkan r dalam sebutan m dan p. It is given that 9m^2 = \frac{4p + r^2}{p}. Express r in terms of m and p. star A r = \sqrt{p(3m - 2)} B r = \sqrt{p(3m + 2)} C r = \sqrt{p(3m - 2)(3m - 2)} D r = \sqrt{p(3m + 2)(3m - 2)}
7 Ungkapkan \frac{5y^2}{x^2-y^2} \div \frac{xy}{x-y} sebagai satu pecahan tunggal dalam sebutan termudah. Express \frac{5y^2}{x^2-y^2} \div \frac{xy}{x-y} as a single fraction in its simplest form. star A \frac{5y}{x+y} B \frac{5y}{x^2-y} C \frac{5y}{x^2-xy} D \frac{5y}{x^2+xy}
8 Ringkaskan: Simplify: \frac{(p^3q^2)^3}{3p} \times 12p^{-3}q^{-7} star A \frac{4p^2}{q} B \frac{4p^8}{q} C \frac{4p^5}{q} D \frac{4p^8}{q^2}
9 Diberi bahawa 3 \le p \le 6 dan 11 \le q \le 18, dengan keadaan p dan q ialah integer. Cari nilai minimum bagi \frac{q}{p}. Given that 3 \le p \le 6 and 11 \le q \le 18, where p and q are integers. Find minimum value for \frac{q}{p}. star A 1 B 2 C 3 D 4
10 Rajah 3 menunjukkan sebuah segi tiga, ADC. Luas kawasan berlorek, BDC ialah 60 cm^2 dan perimeter ABD ialah 24 cm. Diagram 3 shows a triangle, ADC. The area of shaded region, BDC is 60 cm^2 and perimeter ABD is 24 cm. Hitung panjang AC, dalam cm. Calculate the length of AC, in cm. star A 6 B 15 C 21 D 23
11 Rintangan, R \Omega seutas wayar berubah secara langsung dengan panjangnya, l cm dan secara songsang dengan kuasa dua diameternya, d cm. Seutas dawai dengan panjang 500 cm dan diameter 0.25 cm mempunyai rintangan 20 \Omega. Cari rintangan, dalam \Omega, jika 10.0 m wayar yang berdiameter 0.50 cm digunakan. The resistance, R \Omega of a wire varies directly as its length, l cm and inversely as the square of its diameter, d cm. A wire with a length of 500 cm and a diameter of 0.25 cm has a resistance of 20 \Omega. Find the resistance, in \Omega, if 10.0 m wire with the diameter of 0.50 cm is use. star A 10.00 B 20.00 C 28.28 D 64.00 T5 Chapter 1.3b Solving Problems Involving Combined Variation
12 Amira memiliki sebuah rumah di Taman Mewah. Beliau perlu membayar RM288 setahun untuk cukai pintu. Diberi sewa bulanan yang diterima oleh Amira ialah RM800 dan kadar cukai pintu ialah x%. Hitung nilai x. Amira owns a house in Taman Mewah. She has to pay RM288 per year for her property assessment tax. It is given that the monthly rental she received is RM800 and the property assessment tax rate is x%. Calculate the value of x. star A 2% B 3% C 4% D 5% T5 Chapter 4.1e Calculating Road Tax, Property Assessment Tax, Quit Rent, and Sales and Service Tax
13 Diberi persamaan linear serentak 6x - ey = 8 dan fx + 4 = y tidak mempunyai penyelesaian. Ungkapkan e dalam sebutan f. Given that the simultaneous linear equations 6x - ey = 8 and fx + 4 = y has no solution. Express e in terms of f. star A e = f - 6 B e = 6 + f C e = 6f D e = 6f^{-1} T5 Chapter 2.2g Using the Matrix Method to Solve Simultaneous Linear Equations
14 Dalam Rajah 4, BCDE ialah satu garis lurus. Diberi bahawa sin x^\circ = \frac{4}{5}, AC = CD dan AB = 8 cm. In Diagram 4, BCDE is a straight line. Given that sin x^\circ = \frac{4}{5}, AC = CD and AB = 8 cm. Cari nilai bagi tan y^\circ. Find the value of tan y^\circ. star A -\frac{2}{3} B -\frac{1}{2} C \frac{1}{2} D \frac{4}{3} T5 Chapter 6.1d Solving Problems Involving Sine, Cosine and Tangent
15 Dalam Rajah 5, garis SRQ adalah garis lurus. Garis PQ adalah selari dengan garis SV manakala garis PR adalah selari dengan garis US. Diberi bahawa sudut refleks bagi RPQ adalah enam kali ganda sudut TSW manakala ∠TSW, ∠WSV dan ∠RSV adalah kongruen. In Diagram 5, the line SRQ is a straight line. Line PQ is parallel to line SV while line PR is parallel to line US. Given that the reflex angle of RPQ is six times angle of TSW while ∠TSW, ∠WSV and ∠RSV are congruent. Hitung nilai x + y. Calculate the value of x + y. star A 164 B 196 C 204 D 272
16 Rajah 6 menunjukkan dua bulatan, masing-masing berpusat di P dan Q. RSMT ialah tangen sepunya kepada bulatan-bulatan tersebut, masing-masing di S dan di M. KLMN ialah tangen kepada bulatan berpusat P di L. Diagram 6 shows two circles with centre P and Q respectively. RSMT is a common tangent to the circles at S and M respectively. KLMN is a tangent to the circle, centre P at L. Cari nilai y - x. Find the value of y - x. star A 20 B 40 C 60 D 70
17 Rajah 7 menunjukkan corak bagi kertas dinding yang akan ditampal pada sebuah dinding. Diagram 7 shows the pattern for wallpaper that will be pasted on a wall. Apakah yang dapat anda simpulkan berdasarkan kepada corak kertas dinding tersebut? What can you conclude based on the pattern of the wallpaper? star A Isometri Isometry B Serupa Similar C Kongruen Congruent D Teselasi Tessellation T5 Chapter 5.4 The Meaning of Tessellation
18 Rajah 8 ialah gambar rajah Venn yang menunjukkan bilangan murid bagi set G, set M dan set S. Diberi set G = {ahli Persatuan Geografi}, set M = {ahli Persatuan Matematik}, set S = {ahli Persatuan Sains} dan set semesta, \xi = G \cup M \cup S. Diagram 8 is a Venn diagram showing the number of students in set G, set M and set S. It is given that set G = {Geography Society members}, set M = {Mathematics Society members}, set S = {Science Society members} and universal set, \xi = G \cup M \cup S. Satu per empat daripada murid yang menyertai Persatuan Geografi juga menyertai Persatuan Sains. Cari bilangan murid yang menyertai dua persatuan sahaja. One fourth of the students who join the Geography Society also join the Science Society. Find the number of students who join two societies only. star A 5 B 30 C 35 D 45 T4 Chapter 4.3c Solving Problems Involving Combined Operations on Sets
19 Jadual 1 menunjukkan nilai p dan q. Diberi bahawa p berubah secara langsung dengan punca kuasa dua q. Table 1 shows the values of p and q. It is given that p varies directly as the square root of q. | p | 15.5 | 20 | |---|---|---| | q | 9 | m | Jadual 1 Table 1 Hitung nilai m. Calculate the value of m. star A 2 B 4 C 8 D 16 T5 Chapter 1.1c Worked Examples: Finding the Constant and Solving Direct Variation Equations
20 Jadual 2 menunjukkan taburan markah peserta dalam suatu kuiz Sains. Bilangan peserta yang memperoleh 1 markah ialah setengah daripada jumlah bilangan peserta yang memperoleh sekurang-kurangnya 2 markah. Table 2 shows the marks distribution of participants in a Science quiz. The number of participants who scored 1 mark is half of the total number of participants who scored at least 2 marks. | Markah Mark | 0 | 1 | 2 | 3 | 4 | |---|---|---|---|---|---| | Kekerapan Frequency | 6 | x | 4 | 8 | 6 | Jadual 2 Table 2 Cari skor median. Find the median score. star A 1.0 B 2.0 C 2.5 D 4.0
21 Rajah 9 menunjukkan plot batang-dan-daun bagi masa, dalam saat, yang diambil oleh sekumpulan peserta acara pusingan awal larian 400 m. Diagram 9 shows the stem-and-leaf plot for the time taken, in seconds, by a group of participants in preliminary round of 400 m run. Masa Larian Peserta Participant's Running Time |Batang|Daun| |Stem|Leaf| |24|5 6 6 8 0 1 1 2 3 3 4 5 8 9| |25|0 1 1 2 3 6 8 8 9| |26|0 0 0 1 3 3 4 5 8 9| |27|3 4 4 5 7 8 8| |28|2 3 6| Kekunci : 24 | 5 bermaksud 24.5 saat Key : 24 | 5 means 24.5 seconds Rajah 9 Diagram 9 Hitungkan julat antara kuartil bagi masa larian peserta. Calculate the interquartile range for participant's running time. star A 2.2 B 2.3 C 25.2 D 27.4 T4 Chapter 8.2a Range and Interquartile Range for Ungrouped Data
22 Laili membeli sebuah kereta dengan harga RM79 000. Selepas 5 tahun, Laili ingin menjual kereta tersebut. Berdasarkan penerangan pihak pembeli kereta terpakai, harga kereta Laili akan dihitung dengan formula RM79 000 (\frac{8}{9})^n, di mana n ialah bilangan tahun yang dihitung selepas sebuah kereta dibeli. Hitung nilai pasaran, dalam RM terdekat, kereta Laili. Laili bought a car for RM79 000. After 5 years, Laili wishes to sell the car. Based on the explanation from the used car dealers, the price of Laili's car will be calculated using the formula RM79 000 (\frac{8}{9})^n, where n is the number of years after the car is bought. Calculate the market value, to the nearest RM, of Laili's car. star A 40 000 B 43 000 C 43 839 D 43 900 T5 Chapter 8.1e Worked Example: An Exponential Model (Compound Interest)
23 Diberi (\begin{smallmatrix} 2 & x \\ 1 & 4 \end{smallmatrix}) (\begin{smallmatrix} 1 \\ 2 \end{smallmatrix}) = (\begin{smallmatrix} 6 \\ y \end{smallmatrix}), cari nilai x dan y. Given (\begin{smallmatrix} 2 & x \\ 1 & 4 \end{smallmatrix}) (\begin{smallmatrix} 1 \\ 2 \end{smallmatrix}) = (\begin{smallmatrix} 6 \\ y \end{smallmatrix}), find the values of x and y. star A x=2,y=8 B x=2,y=9 C x=6,y=8 D x=4,y=7 T5 Chapter 2.2c Multiplication of Two Matrices
24 Dalam Rajah 10, O ialah asalan dan PQR ialah garis lurus dengan OQ = OR. In Diagram 10, O is the origin and PQR is a straight line with OQ = OR. Cari pintasan-y bagi garis lurus PQR. Find the y-intercept of straight line PQR. star A 5 B 6 C 7 D 8 T4 Chapter 6.2d Constructing Linear Inequalities from a Shaded Region
25 Rajah 11 menunjukkan sebuah graf jarak-masa sebuah motosikal. Diagram 11 shows a distance-time graph of a motorcycle. Cari jarak dan laju purata motosikal tersebut dalam masa 120 minit yang terakhir. Find the distance and the average speed of the motorcycle in the last 120 minutes. star A 120 km, 40 km j^-1 B 120 km, 30 km j^-1 C 70 km, 52.5 km j^-1 D 70 km, 35 km j^-1 T4 Chapter 7.1b Interpreting Distance-Time Graphs
26 Rajah 12 menunjukkan tiga garis lurus yang dilukis di atas satah Cartes. Diagram 12 shows three straight lines which are drawn on the Cartesian plane. Antara berikut, ketaksamaan manakah yang memuaskan rantau berlorek tersebut? Which of the following inequalities satisfies the shaded region? star A y < \frac{1}{2}x + 1, x < -2y + 5 dan / and x < 8 B y \leq \frac{1}{2}x + 1, x > -2y + 5 dan / and x \leq 8 C y > \frac{1}{2}x + 1, y < -x + 5 dan / and x > 8 D y \leq \frac{1}{2}x + 1, 2y \geq -x + 10 dan / and x \leq 8 T4 Chapter 6.2d Constructing Linear Inequalities from a Shaded Region
27 Rajah 13 menunjukkan graf bagi y = sin 2x dan y = kos 2x. Diagram 13 shows the graph of y = sin 2x and y = cos 2x. Cari nilai m. Find the value of m. star A 102.5 B 112.5 C 135.0 D 225.0 T5 Chapter 6.2b Effects of Constants a, b and c on Trigonometric Graphs T5 Chapter 6.2c Solving Problems Involving Graphs of Sine, Cosine and Tangent Functions
28 Rajah 14 menunjukkan sebuah segi empat tepat JLNQ. JKQ ialah sebuah segi tiga sama kaki dan MNP ialah sebuah sukuan berpusat N. M ialah titik tengah LN. Diagram 14 shows a rectangle JLNQ. JKQ is an isosceles triangle and MNP is a quadrant with centre N. M is midpoint LN. Diberi bahawa, panjang LN dan QN masing-masing adalah 28 cm dan 48 cm. Hitung perimeter, dalam cm, kawasan berlorek. Given that, length of LN and QN are 28 cm and 48 cm respectively. Calculate the perimeter, in cm, of shaded region. star A 129.60 B 135.60 C 143.60 D 261.60
29 Rajah 15 menunjukkan pelan trek joging di Taman Harmoni, dilukis dengan skala 1 : 20 000. Diagram 15 shows a plan of jogging track at Taman Harmoni, drawn with scale 1 : 20 000. Zaki melakukan dua pusingan larian dalam masa sejam di trek tersebut. Hitung purata laju, dalam m s^{-1}, larian Zaki. Zaki did two rounds of running on that track in an hour. Calculate the average speed, m s^{-1}, of Zaki's run. star A 1.06 B 1.19 C 2.00 D 2.11 T4 Chapter 7.1b Interpreting Distance-Time Graphs
30 Rajah 16 merupakan sebuah rombus FGHI dan sebuah bulatan berpusat di O. Titik K, titik L, titik M dan titik N masing-masing ialah titik tengah bagi garis IF, garis FG, garis GH dan garis HI. Diagram 16 shows a rhombus FGHI and a circle with centre at O. Points K, L, M and N are the midpoints of lines IF, FG, GH and HI respectively. Lokus V ialah satu titik yang bergerak dengan jarak sentiasa sama dari titik F dan titik H. Lokus W ialah satu titik yang bergerak dengan keadaan WO = OL. Antara berikut, yang manakah benar bagi lokus V dan lokus W? Locus V is a point that moves equidistant from the point F and point H. Locus W is a point that moves such that WO = OL. Which of the following is true for the locus V and locus W? star A Lokus V: Garis GI, Lokus W: Garis FG B Lokus V: Bulatan KLMN, Lokus W: Garis FH C Lokus V: Garis FH, Lokus W: Bulatan KLMN D Lokus V: Garis GI, Lokus W: Bulatan KLMN
31 Rajah 17 ialah gambar rajah Venn dengan keadaan set semesta ξ = P ∪ Q ∪ R. Diagram 17 is a Venn diagram such that universal set ξ = P ∪ Q ∪ R. Antara berikut, yang manakah mewakili rantau berlorek? Which of the following represents the shaded region? star A (P ∪ Q)' ∩ R B (P ∩ Q) ∪ R C (P ∪ Q) ∩ R' D (P ∩ Q) ∩ R T4 Chapter 4.3a Combined Operations on Sets
32 Helmi ingin menyimpan wang sebanyak RM9 000 di Bank M dengan kadar faedah mudah 3% setahun. Hitung bilangan tahun minimum yang Helmi perlu menyimpan supaya dia dapat menggunakan wang simpanan tersebut untuk membuat bayaran deposit motosikal yang bernilai RM10 000. Helmi wants to save RM9 000 at Bank M with simple interest rate of 3% per annum. Calculate the minimum number of years should Helmi save so that he could use the savings to pay for the deposit of the motorcycle that worth RM10 000. star A 3 B 4 C 5 D 6 T5 Chapter 1.1d Solving Problems Involving Direct Variation
33 Jadual 3 menunjukkan maklumat bagi suatu set data. Table 3 shows the information of a set of data. | Set | Data | Sisihan piawai | | Set | Data | Standard deviation | | Asal | x_1, x_2, x_3, ... | 4 | | Original | | | | Baharu | (nx_1 + 8)(nx_2 + 8)(nx_3 + 8), ... | p 20 | | New | | | Jadual 3 Table 3 Nyatakan nilai n jika p = 20. State the value of n if p = 20. star A 3 B 4 C 5 D 6 T4 Chapter 8.2e Effect of Data Changes on Measures of Dispersion
34 Dua biji dadu adil dilambung. Hitung kebarangkalian mendapat nombor perdana kurang daripada 5 pada dadu pertama dan nombor ganjil pada dadu kedua. Two fair dices are tossed. Calculate the probability of getting a prime number less than 5 on the first dice and an odd number on the second dice. star A \frac{1}{6} B \frac{3}{4} C \frac{4}{5} D \frac{5}{6} T4 Chapter 9.2 Dependent Events and Independent Events T4 Chapter 9.4 Application of Probability of Combined Events
35 Jadual 4 menunjukkan maklumat kewangan bulanan Encik Zul. Table 4 shows the information of monthly financial for Encik Zul. | Pendapatan Income | 24000 RM6 000 x 4 | |---|---| | Perbelanjaan tetap Fixed expenses | 4800 RM1 200 x 4 | | Perbelanjaan tidak tetap Variable expenses | 5200 RM1 300 x 4 | Jadual 4 Table 4 Encik Zul akan melancong ke Sarawak dengan keluarganya dalam tempoh 4 bulan. Anggaran kos perbelanjaannya adalah sebanyak RM9 200. Encik Zul perlu menyimpan RMx sebulan daripada pendapatannya untuk mencapai matlamat beliau. Dengan menganggap perbelanjaan bulanan Encik Zul tidak berubah, hitung pendapatan lebihan bulanan Encik Zul. Encik Zul will travel to Sarawak with his family in 4 months time. The estimated cost for the trip is RM9 200. Encik Zul needs to save RMx a month from his income to achieve his goal. By assuming there are no changes in Encik Zul's monthly expenses, calculate Encik Zul's monthly surplus of income. star A RM1 200 B RM1 250 C RM2 100 D RM2 250 T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan
36 Rajah 18 menunjukkan pelan, dongakan depan dan dongakan sisi sebuah pepejal Y. Diagram 18 shows a plan, front and side elevations of a solid Y. Diberi luas segi tiga sama kaki ialah 12 cm^2. Hitung jumlah luas permukaan, dalam cm^2, pepejal Y. Given that area of the isosceles triangle is 12 cm^2. Calculate the total surface area, in cm^2, of solid Y. star A 101 B 145 C 150 D 192 T5 Chapter 5.1b Solving Problems Involving Congruency
37 Rajah 19 menunjukkan dua bulatan yang masing-masing berpusat D dan C. AB ialah tangen sepunya bagi dua bulatan itu. Diagram 19 shows two circles with centre D and C respectively. AB is the common tangent to the two circles. Diberi nisbah panjang jejari AD kepada panjang jejari BC ialah 1:4. Panjang jejari AD ialah x cm. Hitungkan panjang BC, dalam cm, sekiranya luas trapezium ABCD ialah 24 cm^2. Bundarkan jawapan anda kepada integer terdekat. Given the ratio of the length of the radius AD to the length of the radius BC is 1:4. Length of radius AD is x cm. Calculate the length of BC, in cm, if the area of the trapezium ABCD is 24 cm^2. Round off your answer to the nearest integer. star A 1.5 B 2 C 6 D 6.2 T4 Chapter 1.1k Solving Problems Involving Quadratic Equations
38 Rajah 20 menunjukkan dua buah segi tiga yang dilukis di atas satah Cartes. Diberi bahawa segi tiga EFG adalah imej kepada segi tiga ABC di bawah suatu transformasi M. Diagram 20 shows two triangles drawn on the Cartesian plane. Given that the triangle EFG is the image of the triangle ABC under a transformation M. Nyatakan transformasi M. State the transformation of M. star A Putaran 90° ikut arah jam pada pusat (3, 3). A rotation of 90° clockwise at centre (3, 3). B Putaran 90° ikut lawan jam pada pusat (3, 4). A rotation of 90° anticlockwise at centre (3, 4). C Putaran 90° ikut arah jam pada pusat (4, 4). A rotation of 90° clockwise at centre (4, 4). D Putaran 90° ikut arah jam pada pusat (4, 3). A rotation of 90° clockwise at centre (4, 3).
39 M ialah titik tengah bagi tembereng garis yang menyambungkan titik P (-2, -5) dan R (7, -2). Tentukan koordinat M. M is the midpoint of the line segment joining the point P (-2, -5) and R (7, -2). Determine the coordinate of M. star A (\frac{9}{2}, \frac{3}{2}) B (\frac{5}{2}, -\frac{7}{2}) C (-\frac{7}{2}, \frac{5}{2}) D (-\frac{9}{2}, \frac{5}{2})
40 Jadual 5 menunjukkan masa yang diambil oleh 50 orang murid untuk menamatkan suatu perlumbaan 100 meter. Table 5 shows the time taken by 50 students to complete a 100 metre race. | Masa (s) Time (s) | 8.6 - 9.5 | 9.6 - 10.5 | 10.6 - 11.5 | 11.6 - 12.5 | 12.6 - 13.5 | |---|---|---|---|---|---| | Kekerapan longgokan Cumulative frequency | 6 | 14 | 31 | 41 | 50 | Jadual 5 Table 5 Cari nilai varians. Find the value of variance. star A 1.239 B 1.534 C 1.706 D 1.710 T5 Chapter 7.1a Class Interval, Boundaries, Midpoint and Cumulative Frequency of Grouped Data T5 Chapter 7.2b Variance and Standard Deviation for Grouped Data T5 Chapter 7.2e Solving Problems Involving Measures of Dispersion for Grouped Data