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SULIT
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JABATAN PEPERIKSAAN
PANDAI EDUCATION
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SIJIL PELAJARAN MALAYSIA 2024
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MATEMATIK
Kertas 2 (Set 1)
1449/2
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 1. |
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\(P=kQ\) |
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\(\begin{aligned} 150&=k(25) \\ k&=6 \end{aligned}\) |
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\(6(35)=\text{RM }210\) |
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1m
1m
1m
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3m |
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 2. |
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1m |
3m |
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(b)
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Tidak memuaskan
Does not satisfies
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Titik \((4,8)\) tidak memuaskan ketaksamaan \(y\gt 2x\).
Point \((4,8)\) does not satisfied the inequalities \(y\gt 2x\).
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1m
1m
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 3. |
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1m |
3m |
| (b) |
\(2.050\) / \(64^\circ\) |
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\(244^\circ\) |
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1m
1m |
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 4. |
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\(\begin{aligned} \dfrac{35}{100}\times 80=28 \text{ @ } 6+10+y&=28 \\ y&=12 \end{aligned}\) |
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\(\begin{aligned} \dfrac{55}{100}\times80=44 \text{ @ } 16+7+x&=44 \\ x&=21 \end{aligned}\) |
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1m
1m
1m
1m
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4m |
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 5. |
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\(\dfrac{1}{3}\times\dfrac{22}{7}\times3.5\times3.5\times h=308\) |
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\(h=308\times \dfrac{6}{77}\) |
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\(h=24\text{ cm}\) |
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1m
1m
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3m |
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 6. |
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Silinder / Cylinder |
\(\dfrac{22}{7}\times 15^2\times 54=38185.71\) |
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1 bekas kuboid /
1 cuboid container |
\(20\times 12\times 8=1920\) |
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\(\dfrac{38185.71}{1920}=19.88\) |
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\(2\) angka bererti \(=20\)
\(2\) significant figures \(=20\) |
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1m
1m
1m
1m
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4m |
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 7. |
| (a) |
\(m=\dfrac{3}{2}\) |
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\(1=\dfrac{3}{2}(-5)+c\) @ \(c=\dfrac{17}{2}\) |
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\(y=\dfrac{3}{2}x+\dfrac{17}{2}\) |
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1m
1m
1m
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5m |
| (b) |
\(0=\dfrac{3}{2}x+\dfrac{17}{2}\) |
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\(x\)-intercept \(=-\dfrac{17}{13}\) |
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1m
1m
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 8. |
| (a) |
Jika luas segi empat sama \(RSTU\) bukan \(81\) cm\(^2\), maka panjang sisi segi empat sama \(RSTU\) bukan \(9\) cm.
If the area of the square \(RSTU\) is not \(81\) cm\(^2\), then the length of the sides of the square \(RSTU\) not \(9\) cm. |
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Benar
True |
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1m
1m
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4m |
| (b) |
\(\dfrac{1}{3(n^{(n-1)})},n=1,2,3\) |
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2m |
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 9. |
| (a) |
{(A,Z), (A,S), (A,D), (F,Z), (F,S), (F,D), (E,Z), (E,S), (E,D), (L,Z), (L,S), (L,D)} |
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1m |
5m |
| (b) |
(i) |
{(A,Z), (A,S), (A,D), (F,D), (E,D), (L,D)} |
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\(\dfrac{6}{12}\) atau / or \(\dfrac{1}{2}\) |
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1m
1m
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| (b) |
(ii) |
{(A,S), (A,D), (F,Z), (F,S), (F,D), (E,Z), (E,S), (E,D), (L,S), (L,D)} |
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\(\dfrac{10}{12}\) atau / or \(\dfrac{5}{6}\) |
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1m
1m
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 10. |
| (a) |
(i) |
{(Merah,Biru), (Merah,Hijau), (Merah,Kuning), (Biru,Merah), (Biru,Hijau), (Biru,Kuning), (Hijau,Merah), (Hijau,Biru), (Hijau,Kuning), (Kuning,Merah), (Kuning,Biru), (Kuning,Hijau)}
{(Red,Blue), (Red,Green), (Red,Yellow), (Blue,Red), (Blue,Green), (Blue,Yellow), (Green,Red), (Green,Blue), (Green,Yellow), (Yellow,Red), (Yellow,Blue), (Yellow,Green)} |
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1m |
6m |
| (a) |
(ii) |
{(Merah,Biru), (Merah,Hijau), (Merah,Kuning), (Biru,Merah), (Hijau,Merah), (Kuning,Merah)}
{(Red,Blue), (Red,Green), (Red,Yellow), (Blue,Red), (Green,Red), (Yellow,Red)} |
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\(\dfrac{6}{12}\) atau / or \(\dfrac{1}{2}\) |
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1m
1m
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| (b) |
(i) |
{(Ali,Badri), (Ali,Chong), (Ali,Philip), (Badri,Chong), (Badri,Philip), (Chong,Philip)} |
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1m |
| (b) |
(ii) |
{(Badri,Chong), (Badri,Philip), (Chong,Philip)} |
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\(\dfrac{3}{6}\) atau / or \(\dfrac{1}{2}\) |
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1m
1m
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 11. |
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(a)
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Fungsi Kuadratik:
Quadratic Function:
Kedua-dua paksi dilukis mengikut skala yang seragam dengan betul bagi \(0\le x\le 80\) dan \(0\le y\le 38\).
All axis are drawn uniformly according to the correct scale for \(0\le x\le 80\) and \(0\le y\le 38\).
Kesemua lima di plot dengan betul dengan lengkung melalui kesemua titik bagi \(0\le x\le 80\) dan \(0\le y\le 38\).
All five points are plotted correctly with the curve passing through all points for \(0\le x\le 80\) and \(0\le y\le 38\).
Lengkung yang licin dan berterusan tanpa garis putus dan melalui kesemua \(5\) titik dengan betul.
The curve is drawn smooth and continuous with no dotted line and pass through all \(5\) dots correctly.
Fungsi Linear:
Linear Function:
Kesemua \(4\) titik diplot dengan betul bagi \(0\le x\le 80\) dan \(0\le y\le 38\).
All \(4\) points are plotted correctly for \(0\le x\le 80\) and \(0\le y\le 38\).
Garis lurus dilukis dengan betul dan melalui \((0,10)\).
Straight line is drawn correctly and pass through \((0,10)\).
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9m |
| (b) |
(i) |
RM \(10\) |
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(ii) |
\(64\) hari / \(64\) days |
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(iii) |
\(75\) hari / \(75\) days |
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1m
1m
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 12. |
| (a) |
(i) |
Pembesaran pada pusat \(S\) dengan faktor skala \(\dfrac{1}{2}\). |
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Enlargement about the centre \(S\) with scale factor \(\dfrac{1}{2}\). |
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Nota / Note :
- Pembesaran pada pusat \(S\) atau pembesaran faktor skala \(2\). [ 2 markah ]
Enlargement centre \(S\) or enlargement scale factor \(2\). [ 2 marks ]
- Pembesaran [ 1 markah ]
Enlargement [ 1 marks ]
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(ii) |
Putaran \(90^\circ\) ikut arah jam, pada pusat \((-1,0)\).
\(90^\circ\) rotation clockwise about the center \((-1,0)\). |
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Nota / Note :
- Putaran \(90^\circ\) ikut arah jam atau putaran pada pusat \((-1,0)\). [ 2 markah ]
Rotation \(90^\circ\) clockwise or rotation centre \((-1,0)\). [ 2 marks ]
- Putaran [ 1 markah ]
Rotation [ 1 mark ]
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2m
2m
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7m |
| (b) |
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\(x=\left( \dfrac{1}{2} \right)^2\times (120+x)\) |
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\(40\) |
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2m
1m
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 13. |
| (a) |
(i) |
\((1,-10)\) |
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Nota: \((2,-6)\) ada [ 1 markah ] |
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Note: \((2,-6)\) seen [ 1 mark ] |
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(ii) |
\((-6,6)\) |
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Nota: \((-5,-2)\) ada [ 1 markah ] |
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Note: \((-5,-2)\) seen [ 1 mark ] |
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2m
2m
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10m |
| (b) |
(i) |
(a) |
Pantulan pada garis paksi-\(y\) atau bersamaan. |
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Nota: Pantulan sahaja [ 1 markah ] |
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Reflection on line \(y\)-axis or equivalent. |
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Note: Reflection only [ 1 mark ] |
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(b) |
Pembesaran, faktor skala \(-\dfrac{1}{2}\), titik tengah \((-1,-1)\) |
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Nota:
- Pembesaran, faktor skala \(-\dfrac{1}{2}\) atau pembesaran, titik tengah \((-1,-1)\). [ 2 markah ]
- Pembesaran sahaja [ 1 markah ]
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Enlargement, scale factor \(-\dfrac{1}{2}\), centre \((-1,-1)\). |
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Note:
- Enlargement, scale factor \(-\dfrac{1}{2}\) or enlargement, centre \((-1,-1)\) [ 2 marks ]
- Enlargement only [ 1 mark ]
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(ii) |
\(\dfrac{12}{\left( \frac{1}{2} \right)^2}-12\) |
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Nota: \(\dfrac{12}{\left( \frac{1}{2} \right)^2}\) [ 1 markah ] |
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Note: \(\dfrac{12}{\left( \frac{1}{2} \right)^2}\) [ 1 mark ] |
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\(36\) |
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2m
2m
1m
1m
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 14. |
| (a) |
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Selang kelas
Class interval |
Kekerapan
Frequency |
Sempadan atas
Upper boundary |
Titik tengah
Midpoint |
| \(35.1-35.5\) |
\(1\) |
\(35.55\) |
\(35.5\) |
| \(35.6-36.0\) |
\(4\) |
\(36.05\) |
\(35.8\) |
| \(36.1-36.5\) |
\(7\) |
\(36.55\) |
\(36.3\) |
| \(36.6-37.0\) |
\(11\) |
\(37.05\) |
\(36.8\) |
| \(37.1-37.5\) |
\(10\) |
\(37.55\) |
\(37.3\) |
| \(37.6-38.0\) |
\(5\) |
\(38.05\) |
\(37.8\) |
| \(38.1-38.5\) |
\(2\) |
\(38.55\) |
\(38.3\) |
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4m |
10m |
| (b) |
\(\dfrac{(35.3\times1)+(35.8\times4)+(36.3\times7)+(36.8\times11)+(37.3\times10)+(37.8\times5)+(38.3\times2)}{1+4+7+11+10+5+2}\) |
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\(\dfrac{1476}{40}=36.9\) |
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1m
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3m |
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1m |
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 15. |
| (a) |
(i) |
Pendapatan kena cukai
Chargeable income |
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(ii) |
Cukai pendapatan
Income tax |
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(iii) |
Rebat cukai
Tax rebate |
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2m |
9m |
| (b) |
(i) |
RM \(6\ 000\) |
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(ii) |
\(9\ 000+4\ 000+7\ 000+6\ 000+2\ 000+2\ 300+250+400\) |
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\((66\ 100-30\ 950)-35\ 000\) |
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\(150\times8\%=12\) |
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\((600+12)-500\) |
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RM \(112\) |
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(iii) |
- Berbelanja lebih untuk gaya hidup (beli buku, komputer, internet) |
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- Berikan derma |
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- Lebih banyak perbelanjaan perubatan untuk ibu bapa |
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Nota: Terima sebarang alasan yang dikecualikan cukai yang munasabah. |
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- Spend more on lifestyle (buy books, computer, internet) |
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- Give donation |
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- More medical expenses for parents |
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Note: Accept any reasonable tax exemptible reason. |
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1m
1m
1m
1m
1m
1m
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 16. |
| (a) |
(i) |
\(2x=40\) atau / or \(y=x-5\) |
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\(x=20\) |
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(ii) |
\(5x+35y=6500\) atau / or \(y=x-100\) |
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\(40x=10000\) atau / or \(40y=6000\) |
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\(y=150\) |
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1m
1m
1m
1m
2m |
15m |
| (b) |
(i) |
\(\sqrt{3^2+4^2}\) |
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\(5\) km |
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(ii) |
\(m=\dfrac{8}{9}\), \(-7=\dfrac{8}{9}(-9)+c\) |
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\(y=\dfrac{8}{9}x+1\) |
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1m
2m
1m |
| (c) |
(i) |
\(\dfrac{15}{37.5}\) |
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\(0.4\) |
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(ii) |
\(\dfrac{15+60}{3}\) |
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\(25\) |
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1m
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1m |
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Skema Jawapan |
Sub Markah |
Jumlah Markah |
| 17. |
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2m
1m |
15m |
| (b) |
\((2\times5^4)+(2\times5^2)+(2\times5^1)+(4\times5^0)\) atau / or \((2\times8^3)+(7\times8^2)+(2\times8^1)+(2\times8^0)\)
\(1314\) atau / or \(1490\)
Tablet \(P\)
Tablet \(P\) lebih murah daripada Tablet \(Q\).
Tablet \(P\) is cheaper that Tablet \(Q\).
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1m
1m
1m
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| (c) |
(i) |
\(5500\times\dfrac{5}{100}=275\) |
(Bayaran minimum / Minimum payment) |
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\(5500-275=5225\) |
(Baki belum dijelaskan / Outstanding balance) |
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\(5225 \times \left[ \dfrac{18}{100}\times \dfrac{15}{365} \right]=38.65\) |
(Faedah yang dikenakan / Interest charged) |
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\(5225+38.65\) |
(Jumlah terkini bulan Februari / Latest total in February) |
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RM \(5\ 263.65\) |
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(ii) |
Kebaikan kad kredit: |
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- Tidak perlu membawa tunai yang banyak atau |
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- Kaedah pembayaran yang mudah dan cekap atau |
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- Kemudahan membeli barangan dan perkhidmatan atas talian atau |
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- Sebarang jawapan yang logik |
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Advantages of credit cards: |
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- No need to carry a lot of cash or |
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- Simple and efficient payment method or |
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- Ease of buying goods and services online or |
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- Any logical answer |
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1m
1m
1m
1m
1m
1m
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| (d) |
\(2(25\times9)+2(25\times18)+2(18\times9)=1674\) cm\(^2\) |
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2m |
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