|
|
| |
| 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. |
| |
|
PERKAITAN / RELATIONS
|
| |
| 1. |
\(a^m \times a^n =a^{m+n}\) |
| |
|
| 2. |
\(a^m \div a^n = a^{m-n}\) |
| |
|
| 3. |
\((a^m)^n=a^{mn}\) |
| |
|
| 4. |
\(A^{-1}=\dfrac{1}{ad-bc}\begin{pmatrix} d & -b \\ -c & a \end{pmatrix}\) |
| |
|
| 5. |
\(P(A)=\dfrac{n(A)}{n(S)}\) |
| |
|
| 6. |
\(P(A')=1-P(A)\) |
| |
|
| 7. |
\(\text{Jarak}=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\) |
| |
\(\textit{Distance}=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\) |
| |
|
| 8. |
\(\text{Titik Tengah }(x,y)=\left( \dfrac{(x_1+x_2)}{2},\dfrac{(y_1+y_2)}{2} \right)\) |
| |
\(\textit{Midpoint }(x,y)=\left( \dfrac{(x_1+x_2)}{2},\dfrac{(y_1+y_2)}{2} \right)\) |
| |
|
| 9. |
\(\text{Purata Laju}=\dfrac{\text{Jarak yang dilalui}}{\text{Masa yang diambil}}\) |
| |
\(\textit{Average Speed}=\dfrac{\textit{Distance travelled}}{\textit{Time taken}}\) |
| |
|
| 10. |
\(\text{Min}=\dfrac{\text{Hasil tambah nilai data}}{\text{Bilangan data}}\) |
| |
\(\textit{Mean}=\dfrac{\textit{Sum of data}}{\textit{Number of data}}\) |
| |
|
| 11. |
\(\text{Min}=\dfrac{\text{Hasil tambah (Nilai titik tengah kelas}\times\text{Kekerapan)}}{\text{Hasil tambah frekuensi}}\) |
| |
\(\textit{Mean}=\dfrac{\textit{Sum of (Class mark}\times\textit{Frequency)}}{\textit{Sum of frequency}}\) |
| |
|
| 12. |
\(\text{Teorem Pythagoras, }c^2=a^2+b^2\) |
| |
\(\textit{Pythagoras Theorem, }c^2=a^2+b^2\) |
| |
|
| 13. |
\(m=\dfrac{y_2-y_1}{x_2-x_1}\) |
| |
|
| 14. |
\(m=\dfrac{\text{Pintasan}-y}{\text{Pintasan}-x}\) |
| |
\(m=\dfrac{y-\textit{intercept}}{x-\textit{intercept}}\) |
|
|
|
|
|
|
| |
|
BENTUK DAN RUANG / SHAPES AND SPACES
|
| |
| 1. |
\(\text{Luas trapezium}=\dfrac{1}{2}\times \text{Hasil tambah sisi selari} \times \text{Tinggi}\) |
| |
\(\textit{Area of trapezium}=\dfrac{1}{2}\times \textit{Sum of parallel sides}\times \textit{Height}\) |
| |
|
| 2. |
\(\text{Lilitan bulatan}=\pi d=2\pi j\) |
| |
\(\textit{Circumference of circle}=\pi d=2\pi r\) |
| |
|
| 3. |
\(\text{Luas bulatan}=\pi j^2\) |
| |
\(\textit{Area of circle}=\pi r^2\) |
| |
|
| 4. |
\(\text{Luas permukaan melengkung silinder}=2\pi jt\) |
| |
\(\textit{Curved surface area of cylinder}=2\pi r h\) |
| |
|
| 5. |
\(\text{Luas permukaan sfera}=4\pi j^2\) |
| |
\(\textit{Surface area of sphere}=4\pi r^2\) |
| |
|
| 6. |
\(\text{Isipadu prisma tegak}=\text{Luas keratan rentas} \times \text{Panjang}\) |
| |
\(\textit{Volume of right prism}=\textit{Cross sectional area} \times \textit{Length}\) |
| |
|
| 7. |
\(\text{Isipadu silinder}=\pi j^2t\) |
| |
\(\textit{Volume of cylinder}=\pi r^2h\) |
| |
|
| 8. |
\(\text{Isipadu kon}=\dfrac{1}{3}\pi j^2t\) |
| |
\(\textit{Volume of cone}=\dfrac{1}{3}\pi r^2h\) |
| |
|
| 9. |
\(\text{Isipadu sfera}=\dfrac{4}{3}\pi j^3\) |
| |
\(\textit{Volume of sphere}=\dfrac{4}{3}\pi r^3\) |
| |
|
| 10. |
\(\text{Isipadu piramid tegak}=\dfrac{1}{3}\times\text{Luas tapak}\times \text{Tinggi}\) |
| |
\(\textit{Volume of right pyramid}=\dfrac{1}{3}\times\textit{Based area}\times \textit{Height}\) |
| |
|
| 11. |
\(\text{Hasil tambah sudut pedalaman poligon}=(n-2)\times 180^\circ\) |
| |
\(\textit{Sum of interior angles of a polygon}=(n-2)\times 180^\circ\) |
| |
|
| 12. |
\(\dfrac{\text{Panjang lengkok}}{\text{Lilitan bulatan}}=\dfrac{\text{Sudut pusat}}{360^\circ}\) |
| |
\(\dfrac{\textit{Arc length}}{\textit{Circumference of circle}}=\dfrac{\textit{Angle subtended at centre}}{360^\circ}\) |
| |
|
| 13. |
\(\dfrac{\text{Luas sektor}}{\text{Luas bulatan}}=\dfrac{\text{Sudut pusat}}{360^\circ}\) |
| |
\(\dfrac{\textit{Area of sector}}{\textit{Area of circle}}=\dfrac{\textit{Angle subtended at centre}}{360^\circ}\) |
| |
|
| 14. |
\(\text{Faktor skala, }k=\dfrac{PA'}{PA}\) |
| |
\(\textit{Scale factor, }k=\dfrac{PA'}{PA}\) |
| |
|
| 15. |
\(\text{Luas imej}=k^2\times \text{Luas objek}\) |
| |
\(\textit{Area of image}=k^2\times \textit{Area of object}\) |
|
|
|
|
|
| |
| 1. |
|
| |
|
| |
Ungkapkan bentuk piawai di atas sebagai satu simbol tunggal. |
| |
Express the standard form above in a single number. |
| |
|
| |
| A. |
\(31\ 400\ 000\ 000\) |
| B. |
\(3\ 140\ 000\ 000\) |
| C. |
\(314\ 000\ 000\) |
| D. |
\(31\ 400\ 000\) |
|
| |
|
| |
|
| 2. |
\(1.06\times 10^5+120\times10^4=\) |
| |
|
| |
| A. |
\(1\ 306\) |
| B. |
\(13\ 060\ 000\) |
| C. |
\(130\ 600\) |
| D. |
\(1\ 306\ 000\) |
|
| |
|
| |
|
| 3. |
Cari hasil bahagi \(0.002567\) dengan \(0.6\) dan bundarkan jawapan betul kepada tiga angka bererti. |
| |
Find the quotient of \(0.002567\) with \(0.6\) and round off the correct answer to three significant figures. |
| |
|
| |
| A. |
\(0.04\) |
| B. |
\(0.0043\) |
| C. |
\(0.00428\) |
| D. |
\(0.004278\) |
|
| |
|
| |
|
| 4. |
|
| |
|
| |
Apakah nilai bagi digit \(5\) dalam nombor di atas dalam asas sepuluh? |
| |
What is the value of digit \(5\) in the number above in base ten? |
| |
|
| |
| A. |
\(40\) |
| B. |
\(64\) |
| C. |
\(128\) |
| D. |
\(320\) |
|
|
|
| 5. |
Dalam Rajah \(1\), \(PQS\) dan \(QRS\) adalah dua buah segi tiga sama kaki. |
| |
In Diagram \(1\), \(PQS\) and \(QRS\) are two isoceles triangles. |
| |
|
| |
Rajah \(1\) / Diagram \(1\)
|
| |
|
| |
Cari nilai \(x+y\). |
| |
Find the value of \(x+y\). |
| |
|
| |
| A. |
\(90\) |
| B. |
\(95\) |
| C. |
\(100\) |
| D. |
\(110\) |
|
|
| |
| |
| 6. |
Rajah \(2\) menunjukkan sebuah pentagon sekata \(JKLMN\) dan oktagon sekata \(NPQMRSTU\). |
| |
Diagram \(2\) shows a regular pentagon \(JKLMN\) and a regular octagon \(NPQMRSTU\). |
| |
|
| |
Rajah \(2\) / Diagram \(2\)
|
| |
|
| |
Cari nilai \(r\). |
| |
Find the value of \(r\). |
| |
|
| |
| A. |
\(27\) |
| B. |
\(45\) |
| C. |
\(54\) |
| D. |
\(63\) |
|
|
|
| 7. |
Antara set pasangan tertib berikut, yang manakah bukan fungsi? |
| |
Which of the following set ordered pairs is not a function? |
| |
|
| |
| A. |
\(\{ (1,0),(0,1),(3,5),(5,3)\}\) |
| B. |
\(\{(0,0),(0,1),(3,5),(5,4)\}\) |
| C. |
\(\{(0,0),(1,1),(3,3),(4,4)\}\) |
| D. |
\(\{(1,-1),(2,-1),(3,-3),(4,-3)\}\) |
|
| |
|
| |
|
| 8. |
Diberi bahawa \(px+q=-11(-3x+2)-5(7+2x)\), dengan keadaan \(p\) dan \(q\) ialah integer. |
| |
Given that \(px+q=-11(-3x+2)-5(7+2x)\), where \(p\) and \(q\) is an integer. |
| |
|
| |
| A. |
\(p=-43\), \(q=-57\) |
| B. |
\(p=43\), \(q=-13\) |
| C. |
\(p=23\), \(q=-13\) |
| D. |
\(p=23\), \(q=-57\) |
|
| |
|
| |
|
| 9. |
Diberi \(Q\) ialah set nombor perdana antara \(10\) dan \(30\). Apakah unsur-unsur bagi set \(Q\). |
| |
Given \(Q\) is a set of prime numbers between \(10\) and \(30\). What are the elements of set \(Q\). |
| |
|
| |
| A. |
\((11,13,19)\) |
| B. |
\((11,15,19,23,29)\) |
| C. |
\((11,13,17,19,23,29)\) |
| D. |
\((11,13,17,19,21,23,27,29)\) |
|
| |
|
| |
|
| 10. |
Antara faktor berikut, yang manakah tidak mempengaruhi premium yang dibayar bagi insurans hayat? |
| |
Which of the following factors does not affect the premium paid for life insurance? |
| |
|
| |
| A. |
Umur
Age |
| B. |
Jantina
Gender |
| C. |
Bangsa
Race |
| D. |
Nilai muka insurans
Face value insurance |
|
|
|
|
|
|
| |
| 11. |
Antara faktor skala pembesaran berikut, yang manakah bernilai negatif? |
| |
Which of the following scale factor of enlargements is a negative value? |
| |
|
| |
|
|
|
|
|
|
| |
| 12. |
Dalam Rajah \(3\), \(PR\) dan \(QS\) ialah garis lurus. \(M\) dan \(R\) masing-masing adalah titik tengah bagi \(PR\) dan \(QS\). |
| |
In Diagram \(3\), \(PR\) and \(QS\) are straight lines. \(M\) and \(R\) are midpoints of \(PR\) and \(QS\) respectively. |
| |
|
| |
Rajah \(3\) / Diagram \(3\)
|
| |
|
| |
Cari \(\tan{x}\). |
| |
Find \(\tan{x}\). |
| |
|
| |
| A. |
\(\dfrac{6}{5}\) |
| B. |
\(-\dfrac{6}{5}\) |
| C. |
\(\dfrac{5}{6}\) |
| D. |
\(-\dfrac{5}{6}\) |
|
| |
|
| |
|
| 13. |
Pernyataan di bawah adalah songsangan bagi suatu implikasi. |
| |
Statement below is the inverse of an implication. |
| |
|
| |
Jika \(k+4 \neq 9\), maka \(k\neq5\)
If \(k+4 \neq 9\), then \(k\neq5\) |
|
| |
|
| |
Antara berikut yang manakah adalah kontrapositif bagi implikasi tersebut? |
| |
Which of the following is the contrapositive of the implication? |
| |
|
| |
| A. |
Jika \(k\neq5\), maka \(k+4 \neq 9\).
If \(k\neq5\), then \(k+4 \neq 9\). |
| B. |
Jika \(k=5\), maka \(k+4=9\).
If \(k=5\), then \(k+4=9\). |
| C. |
Jika \(k+4=5\), maka \(k=9\).
If \(k+4=5\), then \(k=9\). |
| D. |
Jika \(k+4=9\), maka \(k=5\).
If \(k+4=9\), then \(k=5\). |
|
| |
|
| |
|
| 14. |
Sebuah cermin hiasan berbentuk heptagon sekata digantung di ruang makan oleh Encik Lim. Jika panjang setiap sisi cermin itu ialah \((8x+5y)\), hitung perimeter cermin tersebut. |
| |
A regular heptagon mirror was hung in the dining room by Mr. Lim. If the length of each side of the mirror is \((8x+5y)\), calculate the perimeter of the mirror. |
| |
|
| |
| A. |
\((48x+30y)\) |
| B. |
\((56x+35y)\) |
| C. |
\((78xy)\) |
| D. |
\((91xy)\) |
|
| |
|
|
|
| 15. |
Airil bercadang untuk membeli beberapa pasang baju di Pasar Raya Jetco. Pasar Raya tersebut menawarkan diskaun sebanyak \(15\%\) untuk pembelian dua helai baju atau lebih. Airil membeli \(x\) helai baju jenama \(R\) dan \(y\) helai baju jenama \(S\). Harga sehelai baju jenama \(R\) ialah RM \(38\) dan sehelai baju jenama \(S\) berharga RM \(63\). Hitung harga baju yang perlu dibayar oleh Airil, \(P\), dalam sebutan \(x\) dan \(y\). |
| |
Airil plans to buy a few shirts at Jetco Supermarket. The supermarket offers \(15\%\) discount on the purchase for two or more shirts. He bought \(x\) shirt brand \(R\) and \(y\) shirt brand \(S\). The price of a shirt brand \(R\) is RM \(38\) and a shirt brand \(S\) is RM \(63\). Calculate the price of the shirt to be paid by Airil, \(P\), in terms of \(x\) and \(y\). |
| |
|
| |
| A. |
\(0.85(38x+63y)\) |
| B. |
\(0.15(38x+63y)\) |
| C. |
\(85(38x+63y)\) |
| D. |
\(15(38x+63y)\) |
|
| |
|
| |
|
| 16. |
Safura membeli \(x\) keping kad hari raya dengan harga RM \(1.20\) sekeping. Dia membayar RM \(20\) dan menerima baki yang melebihi RM \(5\). Nyatakan ketaksamaan yang betul berdasarkan maklumat di atas. |
| |
Safura bought \(x\) pieces of hari raya cards for RM \(1.20\) cach. She paid RM \(20\) and received balance more than RM \(5\). State the correct inequality based on the information above. |
| |
|
| |
| A. |
\(20-1.20x \gt 5\) |
| B. |
\(20-1.20x \lt 5\) |
| C. |
\(20-1.20x \ge 5\) |
| D. |
\(20-1.20x \le 5\) |
|
|
| |
| |
| 17. |
Premis \(1\) : Jika \(y\) kurang daripada sifar, maka \(y\) adalah nombor negatif. |
| |
Premise \(1\) : If \(y\) less than zero, then \(y\) is a negative number. |
| |
|
| |
Premis \(2\) : .................................................................................................. |
| |
Premise \(2\) : ................................................................................................ |
| |
|
| |
Kesimpulan : \(-2\) adalah nombor negatif. |
| |
Conclusion : \(-2\) is a negative number. |
| |
|
| |
Berdasarkan hujah di atas, nyatakan Premis \(2\) bagi melengkapkan hujah. |
| |
Based on the above argument, state Premise \(2\) to complete the argument. |
| |
|
| |
| A. |
Semua nombor yang kurang daripada sifar adalah nombor negatif.
All numbers that are less than zero are negative numbers. |
| B. |
\(y\) kurang daripada sifar.
\(y\) less than zero. |
| C. |
\(y\) adalah benar.
\(y\) is true. |
| D. |
\(-2\) kurang daripada sifar.
\(-2\) less than zero. |
|
| |
|
| |
|
| 18. |
Diberi bahawa \(\dfrac{1}{m^n}=3^2\). |
| |
Given that \(\dfrac{1}{m^n}=3^2\). |
| |
|
| |
| A. |
\(m=2\), \(n=-3\) |
| B. |
\(m=2\), \(n=3\) |
| C. |
\(m=3\), \(n=-2\) |
| D. |
\(m=3\), \(n=2\) |
|
|
|
| 19. |
Rajah \(4\) menunjukkan sebuah taman landskap yang telah dibina oleh Nadzif di rumahnya. |
| |
Diagram \(4\) shows the landscape garden build by Nadzif at his house. |
| |
|
| |
Rajah \(4\) / Diagram \(4\)
|
| |
|
| |
Kawasan segi empat selari \(JMNQ\) ialah kawasan kolam renang dan selebihnya ialah kawasan tanaman bunga. Diberi bahawa luas dan perimeter segi empat selari tersebut ialah \(72\) m\(^2\) dan \(38\) m masing-masing. Cari jumlah luas, dalam m\(^2\), kawasan tanaman bunga. |
| |
The parallelogram \(JMNQ\) is the swimming pool area while the rest of the area is the flower planting area. Given that the area and the perimeter of the parallelogram is \(72\) m\(^2\) and \(38\) m respectively. Find the total area, in m\(^2\), of the flower planting area. |
| |
|
| |
| A. |
\(156\) |
| B. |
\(118\) |
| C. |
\(84\) |
| D. |
\(60\) |
|
|
| |
| |
| 20. |
Diberi \(3m+4=\dfrac{1}{2}(m-7)\), cari nilai \(m\). |
| |
Given \(3m+4=\dfrac{1}{2}(m-7)\), find the value of \(m\). |
| |
|
| |
| A. |
\(-3\) |
| B. |
\(-2\) |
| C. |
\(2\) |
| D. |
\(3\) |
|
| |
|
| |
|
| 21. |
Diberi bahawa \(9r+2k^2=18r\), ungkapkan \(k\) dalam sebutan \(r\). |
| |
Given that \(9r+2k^2=18r\), express \(k\) in terms of \(r\). |
| |
|
| |
| A. |
\(3\sqrt{\dfrac{r}{2}}\) |
| B. |
\(\sqrt[3]{\dfrac{r}{2}}\) |
| C. |
\(9\sqrt{\dfrac{r}{2}}\) |
| D. |
\(\dfrac{9\sqrt{r}}{2}\) |
|
|
|
| 22. |
Permudahkan: |
| |
Simplify: |
| |
|
| |
| \(\left( \dfrac{8^2\times7^\frac{1}{3}}{14^2} \right)^3\) |
|
| |
|
| |
| A. |
\(2^4\times 7^{-3}\) |
| B. |
\(2^6\times 7^{-2}\) |
| C. |
\(2^{12}\times 7^{-5}\) |
| D. |
\(2^{16}\times 7^{-1}\) |
|
| |
|
| |
|
| 23. |
Diberi \(a \lt x \le b\), cari nilai yang mungkin bagi \(a\) dan \(b\) yang memuaskan kedua-dua ketaksamaan \(1-3x\lt 7\) dan \(4x-8\le 20\). |
| |
Given \(a \lt x \le b\), find the value of \(a\) and \(b\) which satisfies both the inequalities \(1-3x\lt 7\) and \(4x-8\le 20\). |
| |
|
| |
| A. |
\(a=-3\), \(b=7\) |
| B. |
\(a=-2\), \(b=6\) |
| C. |
\(a=-1\), \(b=6\) |
| D. |
\(a=-2\), \(b=7\) |
|
| |
|
| |
|
| 24. |
Senaraikan semua integer yang memuaskan ketaksamaan linear \(2-3x\gt 1\). |
| |
List all the integers that satisfy the linear inequalities \(2-3x \gt 1\). |
| |
|
| |
| A. |
\(-3,-2,-1,\cdots\) |
| B. |
\(-2,-1,0,\cdots\) |
| C. |
\(-2,-3,-4,\cdots\) |
| D. |
\(-4,-5,-6,\cdots\) |
|
|
| |
| |
| 25. |
Dalam Rajah \(5\), \(VPSW\) ialah tangen sepunya kepada dua bulatan, \(PQR\) dan bulatan \(RSTU\) masing-masing pada titik \(P\) dan titik \(S\). \(PQ\) adalah selari dengan \(SR\) dan \(QRU\) ialah garis lurus. |
| |
In Diagram \(5\), \(VPSW\) is a common tangent to two circles, \(PQR\) and \(RSTU\) at points \(P\) and \(S\) respectively. \(PQ\) is parallel to \(SR\) and \(QRU\) is a straight line. |
| |
|
| |
Rajah \(5\) / Diagram \(5\)
|
| |
|
| |
Cari nilai \(x\) |
| |
Find the value of \(x\) |
| |
|
| |
| A. |
\(26\) |
| B. |
\(36\) |
| C. |
\(67\) |
| D. |
\(77\) |
|
|
|
| 26. |
Rajah \(6\) ialah carta palang yang menunjukkan keuntungan jualan dalam talian bagi tempoh Perintah Kawalan Pergerakan (PKP) yang disebabkan oleh wabak COVID-\(19\). |
| |
Diagram \(6\) is a bar chart which shows the profit of online sales in a week during the Movement Control Order (MCO) period due to COVID-\(19\) pandemic. |
| |
|
| |
Rajah \(6\) / Diagram \(6\)
|
| |
|
| |
Apakah mod keuntungan, dalam RM, jualan dalam talian? |
| |
What is the mode of the profit, in RM, of online sales? |
| |
|
| |
| A. |
\(100\) |
| B. |
\(200\) |
| C. |
\(250\) |
| D. |
\(350\) |
|
|
| |
| |
| 27. |
Antara matriks berikut, yang manakah akan menghasilkan matriks peringkat \(3\times 2\)? |
| |
Which of the following matrices, will produce a matrix with order \(3\times 2\)? |
| |
|
| |
| A. |
\(\begin{pmatrix} 2 & -3 \\ 4 &-1 \end{pmatrix} \begin{pmatrix} 2 & 0 & 4 \\ 1 & 4 & -1 \end{pmatrix}\) |
| B. |
\(\begin{pmatrix} 3 & 4 \\ 0 & 1 \\ 1 & -1 \end{pmatrix} \begin{pmatrix} 1 & -1 \\ 2 & 0 \end{pmatrix}\) |
| C. |
\(\begin{pmatrix} 2 & 1 & 5 \\ -1 & 1 & -3 \end{pmatrix} \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}\) |
| D. |
\(\begin{pmatrix} 4 & 3 \\ 2 & -1 \end{pmatrix} \begin{pmatrix} 3 & 3 \\ 1 & 2 \\ 0 & -1 \end{pmatrix}\) |
|
|
|
| 28. |
Rajah \(7\) ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set \(P\), set \(Q\) dan set \(R\). Set semesta \(\xi=P \cup Q \cup R\). |
| |
Diagram \(7\) is a Venn diagram showing the number of elements in set \(P\), set \(Q\) and set \(R\). The universal set \(\xi=P \cup Q \cup R\). |
| |
|
| |
Rajah \(7\) / Diagram \(7\)
|
| |
|
| |
Diberi \(n(P\cup Q)=n(R)\), cari nilai \(y\). |
| |
Given \(n(P\cup Q)=n(R)\), find the value of \(y\). |
| |
|
| |
| A. |
\(7\) |
| B. |
\(9\) |
| C. |
\(14\) |
| D. |
\(18\) |
|
| |
|
| |
|
| 29. |
Rajah \(8\) menunjukkan dawai yang dibentuk oleh Zayn. |
| |
Diagram \(8\) shows a wire formed by Zayn. |
| |
|
| |
Rajah \(8\) / Diagram \(8\)
|
| |
|
| |
Diberi panjang dawai tersebut ialah \(18\) cm dan panjang \(KL=LM=3\) cm. Cari jarak, dalam cm, antara \(M\) dan \(N\). |
| |
Given the length of the wire is \(18\) cm and the length of \(KL=LM=3\) cm. Find the distance, in cm, between \(M\) and \(N\). |
| |
|
| |
| A. |
\(8.10\) |
| B. |
\(8.48\) |
| C. |
\(9.48\) |
| D. |
\(9.49\) |
|
|
|
|
|
|
| |
| 30. |
Diberi tinggi sebuah segi tiga bersudut tegak adalah \(5\) cm lebih pendek daripada panjang tapaknya. Jika luas segi tiga tersebut ialah \(52\) cm\(^2\), cari panjang hipotenus, dalam cm, segi tiga tersebut. |
| |
Given the height of a right-angled triangle is \(5\) cm shorter than the length of its base. If the area of triangle is \(52\) cm\(^2\), find the length of hypotenuse, in cm, of the triangle. |
| |
|
| |
| A. |
\(\sqrt{23}\) |
| B. |
\(\sqrt{31}\) |
| C. |
\(\sqrt{233}\) |
| D. |
\(\sqrt{493}\) |
|
| |
|
| |
|
| 31. |
Graf manakah mewakili \(x^3+\dfrac{y}{3}=2\)? |
| |
Which graph represents \(x^3+\dfrac{y}{3}=2\)? |
| |
|
| |
|
|
|
|
|
|
| |
| 32. |
Jadual \(1\) menunjukkan denyutan jantung, dalam bilangan denyutan seminit, bagi \(4\) pesakit covid-\(19\) yang direkodkan dalam selang masa setengah jam. |
| |
Table \(1\) shows the heart beats, in number of beats per minute, of \(4\) covid-\(19\) patients who are recorded in a time interval of half an hour. |
| |
|
| |
Pesakit
Patient |
Bilangan denyutan seminit
Number of beats per minute |
| \(P\) |
\(82\) |
\(95\) |
\(106\) |
\(110\) |
\(120\) |
| \(Q\) |
\(88\) |
\(110\) |
\(106\) |
\(102\) |
\(124\) |
| \(R\) |
\(95\) |
\(100\) |
\(102\) |
\(110\) |
\(112\) |
| \(S\) |
\(95\) |
\(102\) |
\(108\) |
\(110\) |
\(115\) |
Jadual \(1\) / Table \(1\)
|
| |
|
| |
Tentukan pesakit yang menunjukkan denyutan jantung yang paling konsisten. |
| |
Determine the patient who shows the most consistent in the heart beats. |
| |
|
| |
| A. |
\(P\) |
| B. |
\(Q\) |
| C. |
\(R\) |
| D. |
\(S\) |
|
| |
|
| |
|
| 33. |
Jadual \(2\) menunjukkan jadual kekerapan bagi isipadu, dalam liter, beberapa botol cecair. |
| |
Table \(2\) shows the frequency of volume, in litres, of several bottles of liquid. |
| |
|
| |
Isipadu (\(l\))
Volume (\(l\)) |
\(1.0-1.4\) |
\(1.5-1.8\) |
\(1.9-2.2\) |
\(2.3-2.6\) |
\(2.7-3.0\) |
Kekerapan
Frequency |
\(3\) |
\(p\) |
\(8\) |
\(6\) |
\(5\) |
Kekerapan longgokan
Cumulative frequency |
\(3\) |
\(7\) |
\(15\) |
\(q\) |
\(26\) |
Jadual \(2\) / Table \(2\)
|
| |
|
| |
Hitung nilai \(p-q\). |
| |
Calculate the value of \(p-q\). |
| |
|
| |
| A. |
\(16\) |
| B. |
\(17\) |
| C. |
\(18\) |
| D. |
\(19\) |
|
| |
|
| |
|
| 34. |
Diberi \(p\ \alpha \ q\) dan \(q=2r+1\). |
| |
Jika \(p=25\) apabila \(r=2\), ungkapkan \(p\) dalam sebutan \(q\). |
| |
Given \(p\ \alpha \ q\) and \(q=2r+1\). |
| |
If \(p=25\) when \(r=2\), express \(p\) in term of \(q\). |
| |
|
| |
| A. |
\(p=5q\) |
| B. |
\(p=15q\) |
| C. |
\(p=20q\) |
| D. |
\(p=75q\) |
|
|
|
|
|
|
| |
| 35. |
Jadual \(3\) menunjukkan maklumat pendapatan dan perbelanjaan bulanan Encik Azmi. |
| |
Table \(3\) shows the information of the monthly income and expenses of Mr. Azmi. |
| |
|
| |
| Pendapatan Bulanan / Monthly Income |
RM |
| Gaji bersih / Net salary |
\(3\ 300\) |
| Pendapatan pasif / Passive income |
\(2\ 730\) |
| Perbelanjaan Bulanan / Monthly Expenses |
RM |
| Ansuran rumah / Home instalment |
\(2\ 660\) |
| Pinjaman kereta / Car loan |
\(1\ 420\) |
| Sara hidup / Living expenses |
\(750\) |
| Minyak kereta / Car fuel |
\(360\) |
| Tol jalan / Road toll |
\(90\) |
Jadual \(3\) / Table \(3\)
|
| |
|
| |
Encik Azmi memutuskan untuk membeli sebuah komputer riba berharga RM \(3\ 600.00\) secara ansuran bulanan selama satu tahun tanpa bayaran faedah. Hitung pendapatan lebih Encik Azmi yang baharu. |
| |
Mr. Azmi decided to buy a laptop worth RM \(3\ 600.00\) with a monthly instalment for one year without any interest. Calculate the new surplus of income for Mr. Azmi. |
| |
|
| |
| A. |
RM \(450.00\) |
| B. |
RM \(750.00\) |
| C. |
RM \(5\ 580.00\) |
| D. |
RM \(6\ 030.00\) |
|
| |
|
| |
|
| 36. |
Jadual \(4\) menunjukkan bilangan buku yang dipinjam oleh \(20\) orang murid pada bulan September \(2022\). |
| |
Table \(4\) shows the number of books borrowed by \(20\) pupils in September \(2022\). |
| |
|
| |
| Bilangan buku / Number of books |
\(1\) |
\(2\) |
\(3\) |
\(4\) |
\(5\) |
| Bilangan murid / Number of pupils |
\(3\) |
\(5\) |
\(8\) |
\(2\) |
\(2\) |
Jadual \(4\) / Table \(4\)
|
| |
|
| |
Hitung varians. |
| |
Calculate the variance. |
| |
|
| |
| A. |
\(2.75\) |
| B. |
\(1.13\) |
| C. |
\(1.29\) |
| D. |
\(1.75\) |
|
| |
|
| |
|
| 37. |
Diberikan bahawa: |
| |
Given that: |
| |
|
| |
| \(\begin{pmatrix} 6 & 1 \\ 4 & 3 \end{pmatrix}\begin{pmatrix} -3 \\ 6 \end{pmatrix}=\dfrac{1}{2m}\begin{pmatrix} 24 \\ -12 \end{pmatrix}\) |
|
| |
|
| |
Hitung nilai \(m\). |
| |
Calculate the value of \(m\). |
| |
|
| |
| A. |
\(-\dfrac{1}{2}\) |
| B. |
\(-10\) |
| C. |
\(-\dfrac{1}{4}\) |
| D. |
\(-1\) |
|
|
|
|
|
|
| |
| 38. |
Jadual \(5\) menunjukkan hubungan antara tiga pemboleh ubah \(p\), \(q\) dan \(r\). |
| |
Table \(5\) shows the relation between three variables \(p\), \(q\) and \(r\). |
| |
|
| |
| \(p\) |
\(4\) |
\(9\) |
| \(q\) |
\(2\) |
\(3\) |
| \(r\) |
\(16\) |
\(m\) |
Jadual \(5\) / Table \(5\)
|
| |
|
| |
Diberi \(p \ \alpha \ \dfrac{q^3}{r^\frac{1}{2}}\), cari nilai \(m\). |
| |
Given \(p \ \alpha \ \dfrac{q^3}{r^\frac{1}{2}}\), calculate the value of \(m\). |
| |
|
| |
| A. |
\(26\) |
| B. |
\(36\) |
| C. |
\(46\) |
| D. |
\(56\) |
|
| |
|
| |
|
| 39. |
Diberi bahawa \(4\begin{pmatrix} 3 & 2 \\ -4 & v \end{pmatrix}-\dfrac{1}{2}\begin{pmatrix} 12 & 10 \\ -4 & -8 \end{pmatrix}=\begin{pmatrix} 6 & 3 \\ -14 & -4 \end{pmatrix}\), hitung nilai \(v\). |
| |
Given that \(4\begin{pmatrix} 3 & 2 \\ -4 & v \end{pmatrix}-\dfrac{1}{2}\begin{pmatrix} 12 & 10 \\ -4 & -8 \end{pmatrix}=\begin{pmatrix} 6 & 3 \\ -14 & -4 \end{pmatrix}\), calculate the value of \(v\). |
| |
|
| |
| A. |
\(2\) |
| B. |
\(1\) |
| C. |
\(-1\) |
| D. |
\(-2\) |
|
| |
|
| |
|
| 40. |
Diberi matriks songsang bagi \(\begin{pmatrix} 8 & 5 \\ -4 & -2 \end{pmatrix}\) ialah \(\dfrac{1}{s}\begin{pmatrix} -2 & t \\ 4 & 8 \end{pmatrix}\). |
| |
Cari nilai \(s-t\). |
| |
It is given that the inverse matrix of \(\begin{pmatrix} 8 & 5 \\ -4 & -2 \end{pmatrix}\) is \(\dfrac{1}{s}\begin{pmatrix} -2 & t \\ 4 & 8 \end{pmatrix}\). |
| |
Calculate the value of \(s-t\). |
| |
|
| |
| A. |
\(-9\) |
| B. |
\(-1\) |
| C. |
\(1\) |
| D. |
\(9\) |
|
|
KERTAS PEPERIKSAAN TAMAT
|
