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| Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan. |
| The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. |
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PERKAITAN / RELATIONS
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| 1. |
\(a^m \times a^n =a^{m+n}\) |
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| 2. |
\(a^m \div a^n = a^{m-n}\) |
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| 3. |
\((a^m)^n=a^{mn}\) |
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| 4. |
\(A^{-1}=\dfrac{1}{ad-bc}\begin{pmatrix} d & -b \\ -c & a \end{pmatrix}\) |
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| 5. |
\(P(A)=\dfrac{n(A)}{n(S)}\) |
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| 6. |
\(P(A')=1-P(A)\) |
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| 7. |
\(\text{Jarak}=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\) |
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\(\textit{Distance}=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\) |
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| 8. |
\(\text{Titik Tengah }(x,y)=\left( \dfrac{(x_1+x_2)}{2},\dfrac{(y_1+y_2)}{2} \right)\) |
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\(\textit{Midpoint }(x,y)=\left( \dfrac{(x_1+x_2)}{2},\dfrac{(y_1+y_2)}{2} \right)\) |
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| 9. |
\(\text{Purata Laju}=\dfrac{\text{Jarak yang dilalui}}{\text{Masa yang diambil}}\) |
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\(\textit{Average Speed}=\dfrac{\textit{Distance travelled}}{\textit{Time taken}}\) |
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| 10. |
\(\text{Min}=\dfrac{\text{Hasil tambah nilai data}}{\text{Bilangan data}}\) |
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\(\textit{Mean}=\dfrac{\textit{Sum of data}}{\textit{Number of data}}\) |
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| 11. |
\(\text{Min}=\dfrac{\text{Hasil tambah (Nilai titik tengah kelas}\times\text{Kekerapan)}}{\text{Hasil tambah frekuensi}}\) |
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\(\textit{Mean}=\dfrac{\textit{Sum of (Class mark}\times\textit{Frequency)}}{\textit{Sum of frequency}}\) |
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| 12. |
\(\text{Teorem Pythagoras, }c^2=a^2+b^2\) |
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\(\textit{Pythagoras Theorem, }c^2=a^2+b^2\) |
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| 13. |
\(m=\dfrac{y_2-y_1}{x_2-x_1}\) |
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| 14. |
\(m=\dfrac{\text{Pintasan}-y}{\text{Pintasan}-x}\) |
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\(m=\dfrac{y-\textit{intercept}}{x-\textit{intercept}}\) |
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BENTUK DAN RUANG / SHAPES AND SPACES
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| 1. |
\(\text{Luas trapezium}=\dfrac{1}{2}\times \text{Hasil tambah sisi selari} \times \text{Tinggi}\) |
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\(\textit{Area of trapezium}=\dfrac{1}{2}\times \textit{Sum of parallel sides}\times \textit{Height}\) |
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| 2. |
\(\text{Lilitan bulatan}=\pi d=2\pi j\) |
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\(\textit{Circumference of circle}=\pi d=2\pi r\) |
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| 3. |
\(\text{Luas bulatan}=\pi j^2\) |
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\(\textit{Area of circle}=\pi r^2\) |
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| 4. |
\(\text{Luas permukaan melengkung silinder}=2\pi jt\) |
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\(\textit{Curved surface area of cylinder}=2\pi r h\) |
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| 5. |
\(\text{Luas permukaan sfera}=4\pi j^2\) |
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\(\textit{Surface area of sphere}=4\pi r^2\) |
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| 6. |
\(\text{Isipadu prisma tegak}=\text{Luas keratan rentas} \times \text{Panjang}\) |
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\(\textit{Volume of right prism}=\textit{Cross sectional area} \times \textit{Length}\) |
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| 7. |
\(\text{Isipadu silinder}=\pi j^2t\) |
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\(\textit{Volume of cylinder}=\pi r^2h\) |
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| 8. |
\(\text{Isipadu kon}=\dfrac{1}{3}\pi j^2t\) |
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\(\textit{Volume of cone}=\dfrac{1}{3}\pi r^2h\) |
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| 9. |
\(\text{Isipadu sfera}=\dfrac{4}{3}\pi j^3\) |
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\(\textit{Volume of sphere}=\dfrac{4}{3}\pi r^3\) |
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| 10. |
\(\text{Isipadu piramid tegak}=\dfrac{1}{3}\times\text{Luas tapak}\times \text{Tinggi}\) |
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\(\textit{Volume of right pyramid}=\dfrac{1}{3}\times\textit{Based area}\times \textit{Height}\) |
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| 11. |
\(\text{Hasil tambah sudut pedalaman poligon}=(n-2)\times 180^\circ\) |
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\(\textit{Sum of interior angles of a polygon}=(n-2)\times 180^\circ\) |
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| 12. |
\(\dfrac{\text{Panjang lengkok}}{\text{Lilitan bulatan}}=\dfrac{\text{Sudut pusat}}{360^\circ}\) |
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\(\dfrac{\textit{Arc length}}{\textit{Circumference of circle}}=\dfrac{\textit{Angle subtended at centre}}{360^\circ}\) |
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| 13. |
\(\dfrac{\text{Luas sektor}}{\text{Luas bulatan}}=\dfrac{\text{Sudut pusat}}{360^\circ}\) |
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\(\dfrac{\textit{Area of sector}}{\textit{Area of circle}}=\dfrac{\textit{Angle subtended at centre}}{360^\circ}\) |
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| 14. |
\(\text{Faktor skala, }k=\dfrac{PA'}{PA}\) |
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\(\textit{Scale factor, }k=\dfrac{PA'}{PA}\) |
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| 15. |
\(\text{Luas imej}=k^2\times \text{Luas objek}\) |
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\(\textit{Area of image}=k^2\times \textit{Area of object}\) |
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| 1. |
Cari nilai \(0.4593+0.8\times 5.12\) dan bundarkan jawapan tersebut kepada tiga angka bererti. |
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Find the value of \(0.4593+0.8\times 5.12\) and round off the answer to three significant figures. |
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| A. |
\(4.46\) |
| B. |
\(4.56\) |
| C. |
\(4.555\) |
| D. |
\(4.5553\) |
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| 2. |
Cari nilai \(\dfrac{7.92 \times 10^{-2}}{(4\times 10^{-3})^2}\). |
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Find the value of \(\dfrac{7.92 \times 10^{-2}}{(4\times 10^{-3})^2}\). |
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| A. |
\(1.98\times10^3\) |
| B. |
\(1.98\times10^4\) |
| C. |
\(4.95\times10^3\) |
| D. |
\(4.95\times10^4\) |
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| 3. |
Diberi \(25^\frac{1}{x}=5\). Cari nilai \(x\). |
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Given that \(25^\frac{1}{x}=5\). Find the value of \(x\). |
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| A. |
\(1\) |
| B. |
\(2\) |
| C. |
\(3\) |
| D. |
\(10\) |
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| 4. |
Ungkapkan \(1172_8\) sebagai nombor dalam asas enam. |
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Express \(1172_8\) as a number in a base six. |
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| A. |
\(512_6\) |
| B. |
\(534_6\) |
| C. |
\(2512_6\) |
| D. |
\(2534_6\) |
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| 5. |
Diberi bahawa \(y\) berubah secara langsung dengan \(x\) dan \(y=3.6\) apabila \(x=2.25\). |
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It is given that \(y\) varies directly as \(x\) and \(y=3.6\) when \(x=2.25\). |
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| A. |
\(y=0.6x\) |
| B. |
\(y=1.4x\) |
| C. |
\(y=1.6x\) |
| D. |
\(y=8.1x\) |
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| 6. |
Diberi set \(U=\{ M, A, T, H, S \}\). Berapakah bilangan subset bagi set \(U\)? |
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Given set \(U=\{ M, A, T, H, S \}\). Find the number of subset for set \(U\)? |
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| A. |
\(20\) |
| B. |
\(25\) |
| C. |
\(28\) |
| D. |
\(32\) |
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| 7. |
Rajah \(1\) menunjukkan sebuah heksagon sekata \(JKLMNP\). |
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Diagram \(1\) shows a regular hexagon \(JKLMNP\). |
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Rajah \(1\) / Diagram \(1\)
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Cari nilai \(x-y\). |
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Find the value of \(x-y\). |
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| A. |
\(30^\circ\) |
| B. |
\(60^\circ\) |
| C. |
\(90^\circ\) |
| D. |
\(120^\circ\) |
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| 8. |
Diberi sebuah pokok mempunyai \(10\) sisi. Cari bilangan bucu bagi pokok itu. |
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Given that a tree has \(10\) edges. Find the number of vertices of the tree. |
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| A. |
\(13\) |
| B. |
\(12\) |
| C. |
\(10\) |
| D. |
\(11\) |
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| 9. |
Diberi bahawa \(y\) berubah secara langsung dengan \(x^2\) dan \(y=80\) apabila \(x=4\), ungkapkan \(y\) dalam sebutan \(x\). |
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Given that \(y\) varies directly as \(x^2\) and \(y=80\) when \(x=4\), express \(y\) in term of \(x\). |
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| A. |
\(y=x^2\) |
| B. |
\(y=5x^2\) |
| C. |
\(y=\dfrac{1}{x^2}\) |
| D. |
\(y=\dfrac{5}{x^2}\) |
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| 10. |
Dalam Rajah \(2\), \(PQ\) ialah garis lurus dengan kecerunan \(-\dfrac{3}{4}\). |
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In Diagram \(2\), \(PQ\) is a straight line with gradient \(-\dfrac{3}{4}\). |
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Rajah \(2\) / Diagram \(2\)
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Cari pintasan-\(y\) bagi garis lurus \(PQ\). |
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Find the \(y\)-intercept of the straight line \(PQ\). |
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| A. |
\(-3\) |
| B. |
\(-12\) |
| C. |
\(3\) |
| D. |
\(12\) |
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| 11. |
Rajah \(3\) menunjukkan dua poligon, \(PQRST\) dan \(UVWXY\), dilukis di atas grid segi empat sama. \(UVWXY\) ialah imej kepada \(PQRST\) di bawah satu pembesaran. |
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Diagram \(3\) shows two polygons, \(PQRST\) and \(UVWXY\), drawn on square grids. \(UVWXY\) is the image of \(PQRST\) under an enlargement. |
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Rajah \(3\) / Diagram \(3\)
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Yang manakah antara berikut adalah benar? |
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Which of the following is true? |
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Pusat Pembesaran
Centre of Enlargement |
Faktor Skala
Scale Factor |
| A. |
\(H\) |
\(2\) |
| B. |
\(H\) |
\(-2\) |
| C. |
\(K\) |
\(2\) |
| D. |
\(K\) |
\(-2\) |
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| 12. |
Rajah \(4\) menunjukkan garis \(ABC\) ialah suatu tangen kepada bulatan \(BDE\) dengan pusat \(O\). |
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Diagram \(4\) shows the line \(ABC\) is a tangent to the circle \(BDE\) with the centre \(O\). |
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Rajah \(4\) / Diagram \(4\)
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Cari nilai bagi \(x\). |
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Find the value of \(x\). |
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| A. |
\(60^\circ\) |
| B. |
\(55^\circ\) |
| C. |
\(35^\circ\) |
| D. |
\(20^\circ\) |
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| 13. |
Rajah \(5\) menunjukkan sebuah kuboid dengan tapak mengufuk \(JMRS\). |
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Diagram \(5\) shows a cuboid with a horizontal base \(JMRS\). |
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Rajah \(5\) / Diagram \(5\)
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Namakan sudut di antara satah \(LMRQ\) dengan satah \(LQS\)? |
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Name the angle between the plane \(LMRQ\) and the plane \(LQS\)? |
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| A. |
\(\angle{SQR}\) |
| B. |
\(\angle{QSL}\) |
| C. |
\(\angle{QLS}\) |
| D. |
\(\angle{QSR}\) |
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| 14. |
Puan Mona telah membeli dua keping coklat di sebuah pasar raya. Coklat yang dibeli itu mempunyai panjang berukuran \((m^2-256)\) cm. Setibanya dirumah, dia ingin membahagikan coklat tersebut secara sama rata kepada \((2m-32)\) orang anaknya. Berapakah ukuran panjang coklat yang akan diterima oleh setiap anaknya? |
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Puan Mona had bought two pieces of chocolate at a supermarket. The chocolate purchased has a length measuring \((m^2-256)\) cm. When she got home, she wants to distributed the chocolate equally to \((2m-32)\) of her children. What is the length of the chocolate that each of her children will receive? |
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| A. |
\((m-16)\) |
| B. |
\((m+16)\) |
| C. |
\(2(m+16)\) |
| D. |
\(2(m-16)\) |
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| 15. |
Antara berikut, pernyataan manakah benar tentang jenis cukai? |
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Which of the following statements is true about the type of tax? |
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| \(\text{I}\) |
Cukai jalan ialah cukai yang dikenakan terhadap pengguna jalan raya yang memiliki kenderaan seperti motosikal dan kereta. |
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Road tax is a tax imposed on road users who own vehicles such as motorcycles and cars. |
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| \(\text{II}\) |
Cukai pintu ialah cukai yang dikenakan terhadap semua pegangan atau harta tanah seperti rumah kediaman, bangunan komersial dan tanah kosong. |
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Assessment rates is a tax levied on all holdings or property such as residential houses, commercial buildings and vacant land. |
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| \(\text{III}\) |
Cukai pendapatan ialah cukai yang dikenakan terhadap pendapatan yang diperoleh oleh seseorang individu yang bergaji atau sesebuah syarikat yang beroperasi di Malaysia. |
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Income tax is a tax levied on income earned by a salaried individual or a company operating in Malaysia. |
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| \(\text{IV}\) |
Cukai perkhidmatan ialah cukai yang dikenakan terhadap pembekal perkhidmatan seperti perkhidmatan hotel, telekomunikasi, insurans dan sebagainya. |
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Service tax is a tax imposed on service providers such as hotel services, telecommunications, insurance and so on. |
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| A. |
\(\text{I}\), \(\text{II}\) & \(\text{III}\) |
| B. |
\(\text{I}\), \(\text{II}\) & \(\text{IV}\) |
| C. |
\(\text{I}\), \(\text{III}\) & \(\text{IV}\) |
| D. |
\(\text{I}\), \(\text{II}\), \(\text{III}\) & \(\text{IV}\) |
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| 16. |
Rajah \(6\) menunjukkan suatu gambar rajah Venn. |
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Diagram \(6\) shows a Venn diagram. |
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Rajah \(6\) / Diagram \(6\)
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Diberi bahawa set semesta, \(\xi=\{\) integer \(\}\), set \(P=\{\) gandaan \(3\) \(\}\) dan set \(Q=\{\) nombor genap \(\}\). Antara rantau \(\text{I}\), \(\text{II}\), \(\text{III}\) dan \(\text{IV}\), yang manakah mengandungi integer \(45\)? |
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It is given that the universal set, \(\xi=\{\) integer \(\}\), set \(P=\{\) multiple of \(3\) \(\}\) and set \(Q=\{\) even numbers \(\}\). Among regions \(\text{I}\), \(\text{II}\), \(\text{III}\) and \(\text{IV}\), which one contains the integer \(45\)? |
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| A. |
\(\text{I}\) |
| B. |
\(\text{II}\) |
| C. |
\(\text{III}\) |
| D. |
\(\text{IV}\) |
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| 17. |
Dalam Rajah \(7\), \(M\) ialah pusat bagi dua sukuan bulatan \(MLN\) dan \(MYX\) manakala \(N\) ialah pusat bagi dua sukuan bulatan \(NTW\) dan \(NUV\) yang terletak dalam segi empat sama \(KLMN\). |
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In Diagram \(7\), \(M\) is the center of the two quadrants of the circles \(MLN\) and \(MYX\) while \(N\) is the center of the two quadrants of the circles \(NTW\) and \(NUV\) located in the square \(KLMN\). |
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Rajah \(7\) / Diagram \(7\)
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Antara titik A, B, C dan D, yang manakah merupakan persilangan bagi dua lokus yang bergerak \(8\) cm dari \(M\) dan lebih \(4\) cm dari \(N\). |
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Which of the points A, B, C and D is the intersection of the locus of two points which move \(8\) cm from \(M\) and more than \(4\) cm from \(N\). |
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| 18. |
Rajah \(8\) menunjukkan dua buah bulatan masing-masing dengan pusat \(P\) dan pusat \(R\). \(Q\) ialah titik tengah garis lurus \(PR\). Diberi \(SU=8\) cm dan \(RT=3\) cm. |
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Diagram \(8\) shows two circles with the centres \(P\) and \(R\) respectively. \(Q\) is the midpoint of the straight line \(PR\). Given \(SU=8\) cm and \(RT=3\) cm. |
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Rajah \(8\) / Diagram \(8\)
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Cari jejari, dalam cm, bagi bulatan besar. |
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Find the radius, in cm, of the larger circle. |
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| A. |
\(5\) cm |
| B. |
\(8\) cm |
| C. |
\(10\) cm |
| D. |
\(13\) cm |
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| 19. |
\(2.5+(-8)\div \dfrac{6}{5}\times 3.5=\) |
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| A. |
\(-20\dfrac{5}{6}\) |
| B. |
\(25\dfrac{5}{6}\) |
| C. |
\(20\dfrac{5}{6}\) |
| D. |
\(-1\dfrac{13}{42}\) |
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| 20. |
Rajah \(9\) menunjukkan graf fungsi \(y=P\sin{Qx}+R\). |
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Diagram \(9\) shows a graph of the function \(y=P\sin{Qx}+R\). |
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Rajah \(9\) / Diagram \(9\)
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Cari nilai bagi \(P\), \(Q\) dan \(R\). |
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Find the values of \(P\), \(Q\) and \(R\). |
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\(P\) |
\(Q\) |
\(R\) |
| A. |
\(1\) |
\(1\) |
\(1\) |
| B. |
\(1\) |
\(1\) |
\(0\) |
| C. |
\(4\) |
\(1\) |
\(0\) |
| D. |
\(4\) |
\(1\) |
\(1\) |
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| 21. |
Permudahkan |
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Simplify |
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| \(\dfrac{(k^6h^3)^\frac{1}{3}}{k^4}\) |
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| A. |
\(k^2h^3\) |
| B. |
\(k^{-2}h\) |
| C. |
\(k^{-2}h^9\) |
| D. |
\(k^2\) |
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| 22. |
Diberi bahawa \(\dfrac{(5^m\times25)^\frac{1}{2}}{5^3}=\dfrac{1}{5^8}\). Hitung nilai bagi \(m\). |
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Given \(\dfrac{(5^m\times25)^\frac{1}{2}}{5^3}=\dfrac{1}{5^8}\). Calculate the value of \(m\). |
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| A. |
\(18\) |
| B. |
\(10\) |
| C. |
\(-10\) |
| D. |
\(-12\) |
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| 23. |
Penyelesaian bagi \(\dfrac{1}{3}(x+2)\le 4\) dan \(6-x\le 2\) adalah |
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The solution for \(\dfrac{1}{3}(x+2)\le 4\) and \(6-x\le 2\) is |
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| A. |
\(2\le x\le 4\) |
| B. |
\(4\le x\le 6\) |
| C. |
\(6\le x \le 11\) |
| D. |
\(4\le x \le 10\) |
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| 24. |
Rajah \(10\) menunjukkan beberapa buah trapezium dilukis pada suatu satah Cartes. Diberi bahawa transformasi. |
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Diagram \(10\) shows several trapeziums drawn on a Cartesian plane. It is give that transformation. |
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\(M=\) translasi \(\begin{pmatrix} 3 \\-5 \end{pmatrix}\) |
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\(M=\) translation \(\begin{pmatrix} 3 \\-5 \end{pmatrix}\) |
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\(N=\) pantulan pada garis \(y=-x\) |
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\(N=\) reflection on line \(y=-x\) |
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Rajah \(10\) / Diagram \(10\)
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Antara trapezium A, B, C dan D, yang manakah objek bagi \(R'\) di bawah gabungan transformasi \(MN\)? |
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Which of the trapezium A, B, C and D is the object of \(R'\) under the combined transformation \(MN\)? |
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| 25. |
Kecerunan garis lurus \(MN\) ialah \(2\) dengan titik \(M(-1,1)\). Cari koordinat titik \(N\). |
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The gradient of the straight line \(MN\) is \(2\) with point \(M(-1,1)\). Find the coordinates of point \(N\). |
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| A. |
\((3,-1)\) |
| B. |
\((3,-7)\) |
| C. |
\((3,3)\) |
| D. |
\((3,9)\) |
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| 26. |
Cari nilai bagi |
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Find the value of |
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| \(\dfrac{25^\frac{3}{2} \times 2^{-2}}{\sqrt[3]{8}\times 5}\) |
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| A. |
\(\dfrac{8}{25}\) |
| B. |
\(\dfrac{25}{8}\) |
| C. |
\(\dfrac{125}{8}\) |
| D. |
\(\dfrac{625}{8}\) |
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| 27. |
Dalam Rajah \(11\), \(ABCDEFGH\) adalah sebuah oktagon sekata dan \(AIJKH\) adalah sebuah pentagon tidak sekata. |
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In Diagram \(11\), \(ABCDEFGH\) is a regular octagon and \(AIJKH\) is an irregular pentagon. |
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Rajah \(11\) / Diagram \(11\)
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|
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Cari nilai \(P\). |
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Find the value of \(P\). |
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|
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| A. |
\(67.5^\circ\) |
| B. |
\(70^\circ\) |
| C. |
\(105^\circ\) |
| D. |
\(210^\circ\) |
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| 28. |
Diberi set semesta, \(\xi=L\cup M\cup N\). Set \(L=\{2,5,6,7,8,9\}\), set \(M=\{1,3,4,6,7,9\}\) dan set \(N=\{3,6\}\). Senaraikan semua unsur bagi set \(N'\). |
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Given the universal set, \(\xi=L\cup M\cup N\). Set \(L=\{2,5,6,7,8,9\}\), set \(M=\{1,3,4,6,7,9\}\) and set \(N=\{3,6\}\). List all the element of set \(N'\). |
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|
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| A. |
\(\{3,6\}\) |
| B. |
\(\{1,4,7,9\}\) |
| C. |
\(\{1,2,4,7,8,9\}\) |
| D. |
\(\{1,2,4,5,7,8,9\}\) |
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| 29. |
Dalam Rajah \(12\), \(JK\) ialah tangen kepada bulatan \(KLM\) di \(K\) dan \(JML\) ialah garis lurus. |
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In Diagram \(12\), \(JK\) is a tangent to the circle \(KLM\) at \(K\) and \(JML\) is a straight line. |
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|
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Rajah \(12\) / Diagram \(12\)
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|
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Hitung nilai \(x\). |
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Calculate the value of \(x\). |
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|
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| A. |
\(50^\circ\) |
| B. |
\(40^\circ\) |
| C. |
\(30^\circ\) |
| D. |
\(20^\circ\) |
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| 30. |
Setiap pepejal geometri berikut mempunyai dongakan sisi masing-masing yang sama kecuali |
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Each of the following solids has the same elevations respectively except |
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|
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| A. |
Sfera
Sphere |
| B. |
Kon
Cone |
| C. |
Silinder
Cylinder |
| D. |
Piramid bertapak segi empat
Rectangular based pyramid |
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| 31. |
Rajah \(13\) menunjukkan gambar rajah Venn yang menunjukkan bilangan pelajar di sebuah kelas dan sarapan kegemaran mereka dalam set \(G\) dan set \(L\). Diberi bahawa set semesta, \(\xi =G\cup L\), set \(G=\{\) Nasi Goreng \(\}\) dan set \(L=\{\) Nasi Lemak \(\}\). |
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Diagram \(13\) shows a Venn diagram which shows the number of students in a class and their favourite breakfast in set \(G\) and set \(L\). It is given that the universal set, \(\xi =G\cup L\), set \(G=\{\) Nasi Goreng \(\}\) and set \(L=\{\) Nasi Lemak \(\}\). |
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Rajah \(13\) / Diagram \(13\)
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|
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Jika bilangan pelajar yang gemar makan satu jenis makanan sahaja ialah \(10\) orang, cari jumlah pelajar di dalam kelas itu. |
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If the number of students who like only one type of food is \(10\), find the total number of students in the class. |
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|
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| A. |
\(19\) |
| B. |
\(20\) |
| C. |
\(25\) |
| D. |
\(30\) |
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| 32. |
| \(10\) |
\(18\) |
\(26\) |
\(33\) |
\(42\) |
| \(13\) |
\(24\) |
\(30\) |
\(37\) |
\(45\) |
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Jadual \(1\) / Table \(1\)
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Ariff mewakilkan data dalam Jadual \(1\) dengan menggunakan plot kotak seperti yang ditunjukkan dalam Rajah \(14\) di bawah. |
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Ariff represents the data in Table \(1\) using a box plot as shown in Diagram \(14\) below. |
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|
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Rajah \(14\) / Diagram \(14\)
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|
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Antara yang berikut, yang manakah tersalah label? |
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Which of the following is labeled incorrectly? |
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|
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| A. |
\(10\) |
| B. |
\(18\) |
| C. |
\(28\) |
| D. |
\(42\) |
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| 33. |
Rajah \(15\) menunjukkan sebuah botol yang mengandungi lapan biji pil berwarna biru dan lima biji pil berwarna putih. Ali mengambil sebiji pil secara rawak. |
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Diagram \(15\) shows a bottle of eight blue capsule and five white capsule. Ali takes a capsule randomly. |
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Rajah \(15\) / Diagram \(15\)
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Apakah kebarangkalian Ali mendapat pil berwarna putih. |
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Find the probability that Ali gets a white capsule. |
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|
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| A. |
\(\dfrac{5}{8}\) |
| B. |
\(\dfrac{5}{13}\) |
| C. |
\(\dfrac{7}{13}\) |
| D. |
\(\dfrac{8}{13}\) |
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| 34. |
Nilai min bagi empat nombor ialah \(90\). Dua daripada nombor itu ialah \(60\) dan \(72\). Nilai bagi dua nombor lagi ialah \(x\) bagi setiap satunya. |
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Jika setiap nilai \(x\) ditolak dengan \(8\), hitung nilai min baharu bagi keempat-empat nombor tersebut. |
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The mean value of the four numbers is \(90\). Two of the numbers are \(60\) and \(72\). The values of the other two numbers are \(x\) for each one of them. |
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If each value of \(x\) is subtracted by \(8\), calculate the new mean value of the four numbers. |
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|
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| A. |
\(82\) |
| B. |
\(86\) |
| C. |
\(114\) |
| D. |
\(228\) |
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| 35. |
Rajah \(16\) di bawah menunjukkan dua garis lurus, \(PQ\) dan \(QR\). |
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Diagram \(16\) below shows two straight lines, \(PQ\) and \(QR\). |
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Rajah \(16\) / Diagram \(16\)
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Kecerunan \(QR\) ialah \(-2\) dan jarak \(PQ\) ialah \(5\) unit. Cari pintasan-\(y\) bagi \(QR\). |
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The gradient of \(QR\) is \(-2\) and the distance of \(PQ\) is \(5\) unit. Find the \(y\)-intercept of \(QR\). |
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|
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| A. |
\(2\) |
| B. |
\(3\) |
| C. |
\(4\) |
| D. |
\(5\) |
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| 36. |
Azfar telah memeriksa bilangan mangga yang rosak dalam setiap kotak yang dibelinya. Jadual \(2\) menunjukkan bilangan mangga yang rosak dalam setiap kotak. |
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Azfar has checked the number of rotten mangoes in each box he bought. Table \(2\) shows the number of rotten mangoes in each box. |
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Bilangan mangga rosak
Number of rotten mango |
\(1\) |
\(2\) |
\(3\) |
\(4\) |
\(5\) |
Bilangan kotak
Number of boxes |
\(6\) |
\(8\) |
\(9\) |
\(3\) |
\(7\) |
Jadual \(2\) / Table \(2\)
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|
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Azfar telah membeli \(90\) kotak mangga. Jika sekotak mangga dipilih secara rawak, tentukan kebarangkalian bahawa kotak itu tidak mengandungi mangga rosak. |
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Azfar bought \(90\) boxes of mangoes. If a box of mangoes is chosen at random, determine the probability that the box did not have rotten mangoes. |
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|
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| A. |
\(\dfrac{5}{11}\) |
| B. |
\(-\dfrac{19}{30}\) |
| C. |
\(\dfrac{6}{11}\) |
| D. |
\(-\dfrac{11}{30}\) |
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| 37. |
Sebuah kotak mengandungi \(48\) cawan yang terdiri daripada cawan biru dan cawan putih. Sebiji cawan dipilih secara rawak dari kotak itu. Kebarangkalian sebiji cawan biru dipilih ialah \(\dfrac{1}{6}\). Berapakah bilangan cawan biru yang perlu ditambah ke dalam kotak itu supaya kebarangkalian sebiji cawan biru dipilih ialah \(\dfrac{1}{2}\)? |
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A box contains \(48\) cups consisting of a blue cup and a white cup. A cup is randomly selected from the box. The probability that a blue cup is selected is \(\dfrac{1}{6}\). How many blue cups must be added to the box so that the probability that a blue cup is selected is \(\dfrac{1}{2}\)? |
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|
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| A. |
\(8\) |
| B. |
\(16\) |
| C. |
\(24\) |
| D. |
\(32\) |
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|
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| SULIT |
17 |
1449/1 |
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| 38. |
Jadual \(3\) menunjukkan kadar cukai pendapatan individu untuk pendapatan bercukai antara RM \(20\ 001\) dengan RM \(35\ 000\). Pendapatan bercukai Cik Sarah pada tahun \(2020\) ialah RM \(31\ 392\). Dia telah membayar zakat berjumlah RM \(180\) pada tahun tersebut. Rebat cukai sebanyak RM \(400\) akan diberikan kepada pembayar cukai sekiranya pendapatan bercukainya tidak melebihi RM \(35\ 000\). |
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Table \(3\) shows individual income tax rate for chargeable income between RM \(20\ 001\) and RM \(35\ 000\). Miss Sarah's chargeable income in \(2020\) was RM \(31\ 392\). She had paid zakat amounting to RM \(180\) in that year. Tax rebate on RM \(400\) will be given to taxpayer if the chargeable income does not exceed RM \(35\ 000\). |
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|
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Banjaran Pendapatan Bercukai
Chargeable Income (RM) |
Pengiraan
Calculations (RM) |
Kadar
Rate (%) |
Cukai
Tax (RM) |
| \(20\ 001-35\ 000\) |
\(20\ 000\) pertama
On the first \(20\ 000\)
\(15\ 000\) berikutnya
Next \(15\ 000\) |
\(3\) |
\(150\)
\(450\) |
Jadual \(3\) / Table \(3\)
|
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|
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Hitung cukai pendapatan yang perlu dibayar oleh Cik Sarah. |
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Calculate the income tax to be paid by Miss Sarah. |
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|
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| A. |
\(-\)RM \(88.24\) |
| B. |
RM \(0\) |
| C. |
RM \(91.76\) |
| D. |
RM \(311.76\) |
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| 39. |
Antara berikut yang manakah ialah graf \(y=\cos{x}\). |
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Which of the following is the graph of \(y=\cos{x}\). |
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| 40. |
Puan Faiza memperoleh pendapatan tahunan pada tahun \(2021\) sebanyak RM \(112\ 500\) termasuk elaun sebanyak RM \(10\ 500\) yang dikecualikan cukai. Jumlah pelepasan cukai beliau adalah RM \(26\ 400\). Pada tahun itu, dia telah membayar zakat fitrah dan telah memberi derma masing-masing sebanyak RM \(50.50\) dan RM \(4\ 000\). Hitung pendapatan bercukai Puan Faiza. |
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Mrs. Faiza earned an annual income of RM \(112\ 500\) in the year \(2021\) including a an allowance of RM \(10\ 500\) which is exempt from tax. Her total tax relief is RM \(26\ 400\). In that year, she paid 'zakat fitrah' and gave donations of RM \(50.50\) and RM \(4\ 000\) respectively. Calculate Mrs. Faiza's chargeable income. |
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|
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| A. |
RM \(71\ 549.50\) |
| B. |
RM \(71\ 600.00\) |
| C. |
RM \(75\ 545.50\) |
| D. |
RM \(75\ 600.00\) |
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KERTAS PEPERIKSAAN TAMAT
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