O Level Mathematics 4024 Paper 12, Oct/Nov 2024

43.079 cao

19 cao

for four correct when one is covered up or for answer $\frac{2}{3}$, 66[%], $\frac{16}{25}$, 0.606, 0.6

0.6, 0.606, $\frac{16}{25}$, 66[%], $\frac{2}{3}$

$\frac{1}{t^3}$ or $t^{-3}$ final answer

6 cao

for one angle correct

for $\frac{60}{15}[\times k]$ oe where $k=1,45,20$ or $10$ or for 1 person = 4[°]

FT for one sector drawn correctly

Correct pie chart

for $800-\frac{15}{100}\times 800$ oe or $\frac{85}{100}\times 800$ oe

for 80 + 40 or 120 seen

for correct use of common denominator e.g. $\frac{9}{12}$ and $\frac{10}{12}$ oe

$1\frac{7}{12}$ cao

for $\frac{13}{4}\times 60$ or $\frac{13}{4}$ seen or 3.25 or 195

3 (hrs) 15 (mins)

Diagram completed correctly

for 2 or 3 correct

All 4 correct

72

for a quadratic expression in $n$ as answer or for correct answer seen or for at least two second differences of 2 seen for numbers of circles sequence

$n(n+1)$ oe final answer

for radius measured as 2.8 to 3.2 [cm]

for their radius written and their answer is 2.5× this value

for acceptable bisector with no/incorrect arcs

Acceptable bisector of angle AED with correct arcs meeting boundary of stage

Correct region shaded

246

for $2(2m^2\text{–}7m)$ or $m(4m\text{–}14)$ or for $2m(2m\text{–}7)$ seen not as final answer

$2m(2m\text{–}7)$ final answer

$\sqrt{5}$ cao

for answer figs 42 or for answer $A\times {10}^7$ with $1⩽A<10$

for $50\times {10}^6$ or $0.8\times {10}^7$ or both numbers adjusted to the same power of 10 or for 50 000 000 and 8 000 000 seen

$2^3\times 3^2\times 5\times 7$ or $2\times 2\times 2\times 3\times 3\times 5\times 7$

for $\frac{180(n-2)}{n}=160$ oe or $\frac{360}{180-160}$ oe

18

for translation by $\left(\begin{array}{c}k\\ -5\end{array}\right)$ or $\left(\begin{array}{c}3\\ k\end{array}\right)$

Correct shape drawn with coords (1, –1), (2, –1), (2, –2), (5, –2), (5, –3), (1, –3)

Rotation

90° clockwise oe

[Centre] (4, 1)

for [$0\le$ ] $x⩽4$ or for $y⩽x+1$ oe

[$0\le$ ] $x⩽4$ and $y⩽x+1$ oe

for $\frac{1}{2}\times 10\times 4$ oe

20

for [UQ =] 300 or [LQ =] 205 seen

95

for 36 seen or 60 – 24 seen or for 260 seen not as final answer

260

for $\sqrt[3]{\frac{270}{640}}$ or $\sqrt[3]{\frac{640}{270}}$ oe soi or $(\frac{w}{8}{)}^3=\frac{270}{640}$ oe seen

6 [cm] cao

for $8a^k$ or $k{a}^{15}$ as final answer, $k\mathrm{\ne }0$ or for $8a^{15}$ seen not as final answer

$8a^{15}$ final answer

for three terms correct from $8c^2\text{–}6cd+36cd\text{–}27d^2$

$8c^2+30cd\text{–}27d^2$ final answer

for answer $\left(\begin{array}{cc}k& -7\\ 1& \frac{13}{k}\end{array}\right)$ or $\left(\begin{array}{cc}\frac{13}{m}& -7\\ 1& m\end{array}\right)$ or $\left(\begin{array}{cc}1& -7\\ 1& 13\end{array}\right)$

for $20=km-7\times -1$ oe soi

–11

for correct first step e.g. $2y=3x-1$ or better or for $x=\frac{3y-1}{2}$ or better

$\frac{2x+1}{3}$ oe final answer

for $5^x=\frac{1}{25}$

–2

for Venn diagram with 3 and 7 in correct place

for Venn diagram with 8 and 2 correct or for their 8 = 4 × their 2 or for 4 in the correct place

Venn diagram fully correct

$A\cap S^{\mathrm{\prime }}\cap D^{\mathrm{\prime }}$ oe

(–2, 1)

for [gradient PQ =] $\frac{-2-4}{-3-(-1)}$ oe

for [gradient perp =] $-\frac{1}{\text{their gradient }PQ}$ soi

for $4=(\text{their }-\frac{1}{3})\times -1+c$ oe or for $y-4=(\text{their }-\frac{1}{3})(x--1)$ oe

$y=-\frac{1}{3}x+\frac{11}{3}$ oe

for first correct rectangle

for second correct rectangle

for third correct rectangle

2b – a final answer

for $\overrightarrow{AC}=4(2\mathbf{b}-\mathbf{a})$ or $\overrightarrow{BC}=3(2\mathbf{b}-\mathbf{a})$ or $\overrightarrow{AC}=4(\text{their}(2\mathbf{b}-\mathbf{a}))$ or $\overrightarrow{BC}=3(\text{their}(2\mathbf{b}-\mathbf{a}))$ or for a correct route for $\overrightarrow{OC}$ seen e.g. $[\overrightarrow{OC}=]\overrightarrow{OA}+\overrightarrow{AC}$ oe or $[\overrightarrow{OC}=]\overrightarrow{OB}+\overrightarrow{BC}$ oe

with correct working leading to $[\overrightarrow{OC}=]8\mathbf{b}-3\mathbf{a}$

$\frac{1}{3}$