$\text{Convert 2}{{\text{7}}_{10}}\text{ to another number in base three}$

$\begin{align}  & \text{Evaluate }\frac{1.25\times 0.025}{0.05},\text{ correct to 1 decimal place} \\ & \text{(A)  0}\text{.6  (B) 6}\text{.2  (C) 6}\text{.3  (D)  }0.5 \\\end{align}$

$\text{Simplify }\frac{{{3}^{-5n}}}{{{9}^{1-n}}}\times {{27}^{n+1}}$

$\begin{align}  & \text{Simplify }\frac{\sqrt{5}(\sqrt{147}-\sqrt{12})}{\sqrt{15}} \\ & \text{(A) 5  (B) }\tfrac{1}{5}\text{  (C) }\tfrac{1}{9}\text{  (D) }9 \\\end{align}$

$\begin{align}  & \text{If }P=\{x:x\text{ is odd, }-1<x\le 20\}\text{ and }Q=\{y:y\text{ is prime, }-2<y\le 25\},\text{ find }P\cap Q \\ & \text{(A)  }\!\!\{\!\!\text{ 3,5,7,11,17,19 }\!\!\}\!\!\text{ } \\ & \text{(B)  }\!\!\{\!\!\text{ 3,5,11,13,17,19 }\!\!\}\!\!\text{ } \\ & \text{(C)  }\!\!\{\!\!\text{ 3,5,7,11,13,17,19 }\!\!\}\!\!\text{ } \\ & \text{(D)  }\!\!\{\!\!\text{ 2,3,5,7,11,13,17,19 }\!\!\}\!\!\text{ } \\\end{align}$

$\begin{align}  & \text{If }x-4\text{ is a factor of }{{x}^{2}}-x-k,\text{ then }k\text{ is } \\ & \text{(A) 4  (B) 12 (C) 20  (D) 2} \\\end{align}$

$\begin{align}  & P\text{ varies jointly as }m\text{ and }u,\text{ varies inversely as }q.\text{ Given that }p=4,\text{ }m=3\text{ } \\ & \text{and }u=2\text{ when }q=1,\text{find  the value of }p\text{ when }m=6,u=4\text{ and }q=\tfrac{8}{5} \\ & (A)\text{  }\tfrac{128}{5}\text{  (B) }15\text{  (C) 10  (D)  }\tfrac{288}{5} \\\end{align}$

$\begin{align}  & \text{Evaluate }3(x+2)>6(x+3) \\ & (A)\text{ }x>4\text{  }(B)\text{  }x<4\text{  }(C)\text{ }x>-4\text{ }(D)\text{ }x<-4 \\\end{align}$

$\begin{align}  & \text{Solve for }x:\text{ }\left| x-2 \right|<3 \\ & \text{(}A)\text{ }x<1\text{  }(B)\text{ }x<5\text{ }(C)\text{ }-2<x<3\text{  (D) }-1<x<5 \\\end{align}$

$\begin{align}  & \text{The }nth\text{ term of the progression }\tfrac{4}{2},\tfrac{7}{3},\tfrac{10}{4},\tfrac{13}{4},\cdot \cdot \cdot \text{ is} \\ & (A)\text{ }\tfrac{3n-1}{n+1}\text{ }(B)\text{ }\tfrac{1-3n}{n+1}\text{ }(C)\text{ }\tfrac{3n+1}{n+1}\text{  (D) }\tfrac{3n+1}{n-1} \\\end{align}$

$\begin{align}  & \text{If }P=\left[ \begin{matrix}   5 & 3  \\   2 & 1  \\\end{matrix} \right]\text{ and }Q=\left[ \begin{matrix}   4 & 2  \\   3 & 5  \\\end{matrix} \right],\text{ find }2P+Q \\ & (A)\text{ }\left[ \begin{matrix}   8 & 14  \\   7 & 7  \\\end{matrix} \right] \\ & (B)\text{ }\left[ \begin{matrix}   7 & 7  \\   14 & 8  \\\end{matrix} \right] \\ & (C)\text{ }\left[ \begin{matrix}   14 & 8  \\   7 & 7  \\\end{matrix} \right] \\ & (D)\text{ }\left[ \begin{matrix}   7 & 7  \\   8 & 14  \\\end{matrix} \right] \\\end{align}$

In the diagram above, find the value of x

$\begin{align}  & \text{If the angle of a quadrilateral are }{{(3y+10)}^{\circ }},\text{ }{{(2y+30)}^{\circ }},{{(y+20)}^{\circ }}\text{ and }4{{y}^{\circ }},\text{ } \\ & \text{Find the  value of }y\text{  } \\ & \text{(A)  1}{{\text{2}}^{\circ }}\text{ (B) 3}{{\text{0}}^{\circ }}\text{ (C) 4}{{\text{2}}^{\circ }}\text{ (D) 6}{{\text{6}}^{\circ }} \\\end{align}$

$\begin{align}  & \text{Find the length of a chord which subtends an angle of 9}{{\text{0}}^{\text{o}}}\text{ at the centre of a } \\ & \text{circle whose radius is 8cm} \\ & \text{(A)  }4cm\text{  (B) }8cm\text{  }(C)\text{  }8\sqrt{2}cm\text{  (D) }8\sqrt{3}\text{ cm} \\\end{align}$

The locus of the point which is equidistant from  the PQ forms a

Find the equation of the perpendicular bisector of the line joining P(2,-3) to Q(-5,1)

If $\tan \theta =\tfrac{3}{4}$,  find the value of  $\sin \theta +\cos \theta$

$\begin{align}  & \text{If }y=x\sin x,\text{ find }\frac{dy}{dx} \\ & \text{(A) }\sin x+x\cos x\text{ (B) }\sin x+\cos x\text{ (C) }\cos x-x\sin x\text{  (D) }\cos x+x\sin x \\\end{align}$

$\begin{align}  & \text{Integrate }\left( \frac{1+x}{{{x}^{3}}} \right)dx \\ & \text{(A) }-\frac{1}{2{{x}^{2}}}-\frac{1}{x}+k\text{  (B) }-\frac{{{x}^{2}}}{2}-\frac{1}{x}+k\text{   (C) }{{x}^{2}}-\frac{1}{x}+k\text{   (D)  }2{{x}^{2}}-\frac{1}{x}+k \\\end{align}$