Hong Kong

Stage 4 - Stage 5

The four quadrants on the coordinate axes are labelled $1$1 to $4$4 anticlockwise, starting with $1$1 in the quadrant where $\left(2,3\right)$(2,3) lies.

a

In which quadrant are $x$`x` and $y$`y` values both positive?

$2$2

A

$3$3

B

$4$4

C

$1$1

D

b

In which quadrant are $x$`x` and $y$`y` values both negative?

$1$1

A

$4$4

B

$2$2

C

$3$3

D

c

In which quadrant is $x$`x` positive and $y$`y` negative?

$4$4

A

$3$3

B

$2$2

C

$1$1

D

d

In which quadrant is $y$`y` positive and $x$`x` negative?

$2$2

A

$1$1

B

$4$4

C

$3$3

D

Easy

Approx a minute

The $x$`x` and $y$`y` values of a point on the coordinate plane multiply to give $9$9.

Consider the expression $\frac{2}{x}$2`x` for $x>0$`x`>0.

Consider the expression $\frac{3}{x}$3`x` for $x<0$`x`<0.

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