H2 Math Pure Math

Timothy Gan

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N2021 P1 Q4

These Ten-Year-Series (TYS) worked solutions with video explanations for 2021 A Level H2 Mathematics Paper 1 Question 4 are suggested by Mr Gan. For any comments or suggestions please contact

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N2021 P1 Q8

These Ten-Year-Series (TYS) worked solutions with video explanations for 2021 A Level H2 Mathematics Paper 1 Question 8 are suggested by Mr Gan. For any comments or suggestions please contact

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2022 ACJC Promo Q9

2022 ACJC Promo Q9 It is given that $text{f}left( x right)={{x}^{2}}-6x+5$, for $1<xle 5$,$text{g}left( x right)={{x}^{2}}-6x+5$, for $1<x<3$,$text{h}left( x right)=left{ begin{matrix}ln x,text{for}0<xle 1, \{{x}^{2}}-6x+5text{for}1<xle 5, \end{matrix} right.$ and that $text{h}left(

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2022 SAJC Promo Q6

2022 SAJC Promo Q6 The function $text{f}$ is defined by $text{f}:xmapsto {{x}^{2}}+4x-4$ for $xin mathbb{R}$, $x<-2$. (a) (i) Explain why ${{text{f}}^{-1}}$ exists. [1] (ii) Sketch on the same diagram, the

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2022 TJC Promo Q9

2022 TJC Promo Q9 The function $text{f}$ is defined by $text{f}:xmapsto ln left( {{x}^{2}}-4 right)$ for $2<xle 8$. (i) Find ${{text{f}}^{-1}}left( x right)$ and state the domain of ${{text{f}}^{-1}}$. [3]

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2022 NYJC Promo Q1

2022 NYJC Promo Q1 (i) Solve the inequality $ln left( x+1 right)le frac{4}{x}$. [3] (ii) Hence solve the inequality $cos x+1le {{text{e}}^{4sec x}}$ for $0<x<pi $. [3] Suggested Video Solutions

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2022 TJC Promo Q2

2022 TJC Promo Q2 Solve the inequality $frac{x-2k}{{{x}^{2}}-k}le 0$ in terms of $k$ given that (i) $k$ is a real constant greater than $1$. [3] (ii) $k$ is a negative

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2022 ASRJC Promo Q2

2022 ASRJC Promo Q2 Using an algebraic method, solve $frac{{{x}^{2}}+2x+3}{{{x}^{2}}+x-2}ge 1$. [4] Suggested Video and Handwritten Solutions Continue reading

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2022 VJC Promo Q2

2022 VJC Promo Q2 (i) Show that ${{x}^{2}}+2x+2$ is always positive for all real values of $x$. [1] (ii) Without using a calculator, solve the inequality $frac{x-12}{{{x}^{2}}+3x-10}>1$. [3] Suggested Video

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2022 RI Promo Q2

2022 RI Promo Q2 Without using a calculator, solve the inequality $3x+1le frac{{{x}^{2}}+2}{x}$. [5] Suggested Video and Handwritten Solutions Continue reading

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