The number $\dfrac{ 6 - \sqrt{ 6 } } { 6 + \sqrt{ 6 } }$ is

A.	both
B.	Can't say
C.	Rational
D.	Irrational

What is the degree of the polynomial $0$?

A.	1
B.	0
C.	2
D.	Not defined

If coordinates of the point shown in the picture are (p+70, p+10), find the value of p.

A.	-35
B.	-25
C.	-30
D.	-40

Which of the following equations represents a straight line passing through the points $(0, 0)$, $(-2, 2)$ and $(2, -2)$.

A.	$5 x - y = 0$
B.	$2 - x = 2 y$
C.	$x + y = 0$
D.	$y = x$

If lines XY and MN intersect as shown below and a:b = 1:2, find c.

A.	113°
B.	126°
C.	120°
D.	115°

If $AD$ is the median of $\triangle ABC,$ then:

A.	$AC + AB > 2AD$
B.	$AC + AB < 2AD$
C.	$AC + AB = 2AD$
D.	None of these

$ABCD$ is a parallelogram with $E$ and $F$ as the mid-points of side $AB$ and $CD$. Line segments $CE$ and $AF$ intersect the diagonal $BD$ at point $P$ and $Q$ respectively. If $PB = 3 \space cm$ and $BC = 9 \space cm$, find the length of diagonal $BD$.

A.	$7.5 \space cm$
B.	$9 \space cm$
C.	$13.5 \space cm$
D.	$6 \space cm$

In the rhombus, ∠PRS = 4X - 300° and ∠QSP = 2X - 12°. Find the value of X.

A.	134°
B.	67°
C.	55°
D.	79°

In a circle with center O, if OA = 5 cm, CD = 2 cm and OD is perpendicular to AB, then AB is:

A.	7 cm
B.	10 cm
C.	9 cm
D.	8 cm

To construct an angle of $7.5^\circ,$ we bisect:

A.	$30^\circ$
B.	$22.5^\circ$
C.	$15^\circ$
D.	$45^\circ$

The perimeter of an isosceles triangle is 288 cm and its unequal side is 143 cm. Find the area of the triangle.

A.	751643.75cm2
B.	144cm2
C.	870cm2
D.	858cm2

A sphere and a cone have the same radius. If the volume of the sphere is four times of the volume of the cone, find the ratio of the height and radius of the cone.

A.	1:2
B.	4:3
C.	1:1
D.	2:1

Using the step-deviation method, find the mean diameter of heads of the screws from the following frequency-distribution table.

$\text{ Diameter }(in \space mm)$	$50$	$55$	$60$	$65$	$70$	$75$	$80$
$\text{ Number of screws }$	$13$	$11$	$27$	$12$	$21$	$18$	$9$

A.	$64.82 \space mm$
B.	$66.28 \space mm$
C.	$72.34 \space mm$
D.	$61.21 \space mm$

In 2004, the meteorological office predicted the weathers completely right for the months of february and april, and completely wrong for all the other months. What is the probability that the forecast was wrong for a given day that year?

A.	304 365
B.	308 366
C.	307 366
D.	59 365

Aleik, Sheldon, Mark, Claire, Ebunoluwa, and Amanda are playing game by forming two teams of three players in each. In how many different ways can they be put into two teams of three players?

A.	12
B.	20
C.	10
D.	30

How many more squares need to be shaded to cover 25% of the total area?

A.	7
B.	9
C.	5
D.	14