Express the number 0.456 in the form of  

p

q

  and reduce it to the lowest terms.

A.	456 990
B.	456 1000
C.	4560 999
D.	152 333

Factorize: $$\begin {aligned} s^2 - 1 - 2c - c^2 \end{aligned}$$

A.	$(s + 1 - c ) (s + 1 + c )$
B.	$(s - 1 - c )^2$
C.	$(s - 1 - c ) (s - 1 + c )$
D.	$(s - 1 - c ) (s + 1 + c )$

Two distinct __________ in a plane can not have more than one point in common.

A.	points
B.	planes
C.	lines
D.	both lines and points

If a number is added to both side of a equation, then solution of the equation will,

A.	Remains the same
B.	Will also increase by same number
C.	May or may not change depending on the equation.
D.	Changes

If the two horizontal lines given below are parallel, find the measure of angle x.

A.	75°
B.	65°
C.	55°
D.	115°

$ABCD$ is a square with each side measuring $16 \space cm$. $M$ is a point on $CB$ such that $CM = 4 \space cm$. If $N$ is a variable point on the diagonal $DB$, find the least value of $CN + MN$.

A.	$18 \space cm$
B.	$29 \space cm$
C.	$20 \space cm$
D.	$32 \space cm$

In a triangle, ABC, D is a point on AB such that AB = 4AD and E is a point on AC such that AC = 4AE. Find BC.

A.	AD + AE
B.	4ED
C.	3ED
D.	5ED 2

The area of a trapezium is 329 cm² and the distance between its parallel sides is 14 cm. If one of the parallel sides is of length 21 cm, find the length of the other side.

A.	24 cm
B.	52 cm
C.	13 cm
D.	26 cm

Two chords AB and AC of a circle subtends angles equal to 70° and 90°, respectively at the centre. Find ∠BAC, if AB and AC lie on the opposite sides of the centre.

A.	110°
B.	100°
C.	90°
D.	95°

The contruction of a triangle $ABC$ in which $AB = 20 \space cm$, $\angle A = 60^\circ$ is possible when $BC - AC$ is equal to:

A.	$21 \space cm$
B.	$21.5 \space cm$
C.	$19.5 \space cm$
D.	$20.5 \space cm$

The sides of a quadrilateral, taken in order are $14 \space cm, 13 \space cm, 12 \space cm,$ and $9 \space cm$ respectively. The angle contained by the last two sides is a right angle. Find the area of the quadrilateral.

A.	$276 \space cm^2$
B.	$84 \space cm^2$
C.	$138 \space cm^2$
D.	$193.2 \space cm^2$

The heights of two cylinders are in the ratio 2:5 and their radii are in the ratio 5:1. Find the ratio of their volumes.

A.	1:10
B.	10:1
C.	1:2
D.	2:1

The given table shows the marks of 12 college students in the English exam.

Name	Marks (Out of 100)	Name	Marks (Out of 100)
Natalia	97	Brittany	53
Joshua	47	Madison	44
John	42	Cindy	53
Fawna	20	Billie	93
Sean	90	Kieeop	59
Keliesa	31	Adela	67

What is the average score of the class?

A.	60
B.	56
C.	52
D.	58

A die is thrown $300$ times and the outcomes are noted as given below.

$Outcome$	$1$	$2$	$3$	$4$	$5$	$6$
$Frequency$	$15$	$75$	$75$	$60$	$45$	$30$

If a die is thrown at random, what is the probability of getting $4$?

A.	$1$
B.	$0.2$
C.	$0.15$
D.	$0.25$

Eric, Katrina, John, Sean, Billie, and Brittany 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.	30
C.	10
D.	20

Factorize: $$\begin{aligned} u^3 + v^3 + u + v \end{aligned}$$

A.	$( u + v ) ( u^2 - uv - v^2 + 1 )$
B.	$( u + v ) ( u^2 + uv + v^2 + 1 )$
C.	$( u - v ) ( u^2 - uv + v^2 + 1 )$
D.	$( u + v ) ( u^2 - uv + v^2 + 1 )$