# Timothy Gan

#### Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

Hope you find our articles enjoyable and have a great time learning math! 😁

### 2022 RVHS P2 Q6

2022 RVHS P2 Q6 A wedding dinner table is round with $10$ identical chairs surrounding it. (i) Two couples, a family of $4$, and two singles are assigned to the

### 2013 HCI P2 Q8

2013 HCI P2 Q8 Find the number of ways in which the eleven letters of the word ARRANGEMENT can be arranged if (i) there are no restrictions, [1] (ii) either

### 2015 NJC P2 Q7

2015 NJC P2 Q7 A box contains $6$ orange, $6$ red, $6$ green, $6$ blue and $6$ yellow balls. Balls of the same colour are considered to be indistinguishable. Find

### 2019 HCI C1BT1 Q3

2019 HCI C1BT1 Q3 Mr Lee has $1650$ gemstone beads and $1950$ crystal beads. He wants to use all the beads to make necklaces of three different designs: Classic, Elegant

### 2008 YJC P1 Q6 [Modified]

2008 YJC P1 Q6 [Modified] The functions $text{f}$ and $text{g}$ are defined as follows: $text{f}:xmapsto {{left( x-2 right)}^{2}}-3$, $xle 2$$text{g}:xmapsto 4cos x$, $0le x<pi$ (i) Find ${{text{f}}^{-1}}$ in a

### 2022 RI Promo Q10

2022 RI Promo Q10 The function $text{f}$ is defined by $text{f}:xmapsto ln left( {{x}^{2}}-6x+10 right)-5$ , $xin mathbb{R}$, $xle 3$. (i) Find ${{text{f}}^{-1}}left( x right)$ and state the domain of

2022 HCI J1 BT Q8 The function $y=text{f}left( x right)$ is defined by $y=frac{{{x}^{2}}+x+p}{x+2}$, where $p$ is a constant. (i) Find the value of $p$ if $text{f}$ is a linear
2022 YIJC Promo Q7 The curve ${{C}_{1}}$ has equation $y=frac{{{x}^{2}}-5}{x+3}$. The curve ${{C}_{2}}$ has equation $frac{{{left( x+5 right)}^{2}}}{4}+frac{{{left( y+6 right)}^{2}}}{{{b}^{2}}}=1$, where $b>0$. (a) For ${{C}_{1}}$, find algebraically the range of