Yr 11 Maths quiz

Write the following using indices:  $\frac{1}{x^2}$  

•  $x^2$  

•  $x^{-2}$  

•  $x^{\frac{1}{2}}$  

•  $2x$  

Calculate  $1\frac{4}{5}-\frac{3}{4}\times\left(\frac{2}{5}\right)^2$  

•  $\frac{21}{125}$  

•  $\frac{42}{25}$  

•  $\frac{48}{25}$  

•  $\frac{42}{125}$  

Which mathematician came up with the clever way of summing an arithmetic sequence when he was a child?

• Gauss

• Newton

• Pascal

• Pythagoras

What value is

 $\sin\left(\frac{\pi}{6}\right)$  

• 0.5

• 1

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{\sqrt{2}}{2}$  

Why did the mathematical tree fall over?

• Because it had no real roots :)

• Not this answer

• Not this answer

• Not this answer

Write in completed the square form $x^{2\ }-6x\ +\ 2$  

A boy and a girl are talking.

• "I am a boy" said the child with black hair.

• "I am a girl" said the child with white hair.

At least one of them lied. Who is the boy and who is the girl?

• Boy = black hair, girl = white hair

• Boy = white hair, girl = black hair

• boy = black hair, girl = black hair

• boy = white hair, girl = white hair

There are three people (Alex, Brook and Cody), one of whom is a knight, one a knave, and one a spy.

The knight always tells the truth, the knave always lies, and the spy can either lie or tell the truth.

Alex says: "Cody is a knave."

Brook says: "Alex is a knight."

Cody says: "I am the spy."

Who is the knight, who the knave, and who the spy?

• Alex = Knight, Brook = Spy, Cody = Knave

• Alex = Spy, Brook = Knight, Cody = Knave

• Alex = Knave, Brook = Knight, Cody = Spy

• Alex = Knight, Brook = Knave, Cody = Spy

Fully simplify  $\frac{\sqrt{24}}{\sqrt{3}}$  

•  $2\sqrt{2}$  

•  $\sqrt{8}$  

•  $3\sqrt{8}$  

•  $2\sqrt{3}$  

Simplify  $\frac{1}{x+\frac{1}{3x-2}}$  

•  $\frac{3x-2}{3x^2-2x+1}$  

•  $\frac{3x^2-2x+1}{3x-2}$  

•  $\frac{3x-2}{\left(3x+1\right)\left(x-1\right)}$  

•  $\frac{\left(3x+1\right)\left(x-1\right)}{3x-2}$