What should be subtracted from $\dfrac{ 6 }{ 7 }$ to get $\dfrac{ -5 }{ 21 }$?

A.	$\dfrac{ 23}{ 24 }$
B.	$\dfrac{ 27 }{ 24 }$
C.	$\dfrac{ 27 }{ 21 }$
D.	$\dfrac{ 23 }{ 21 }$

Factorize: $$500 p^4 + 864 p$$

A.	$4 p (5p + 6) (25p^2 - 30 p - 36)$
B.	$4 p (5p + 6) (25p^2 - 30 p + 36)$
C.	$4 p (5p + 6) (25p^2 + 30 p + 36)$
D.	$4 p (5p - 6) (25p^2 - 30 p + 36)$

Two points having the same abscissa but different ordinates lie on

A.	$x-$ axis
B.	a line parallel to the $x-$ axis
C.	a line parallel to the y-axis
D.	$y-$ axis

Solve the following system of linear equations by using the method of elimination by equating the coefficients.

$\dfrac{ 8 x - 2 y }{ xy } = 6$

$\dfrac{ 7 x + 5 y }{ xy } = 12$

A.	$x = 2$ and $y = 2$
B.	$x = 2$ and $y = 1$
C.	$x = 1$ and $y = 2$
D.	$x = 1$ and $y = 1$

The time on a clock is $4$ o'clock. How many right angles the hour and minute hands have to travel for the clock to show $9$ o'clock?

A.	$15$
B.	$7$
C.	$9$
D.	$11$

In a right-angled triangle $ABC$, if $\angle ACB = 2 \angle CAB$, then:

A.	$AC = 3BC$
B.	$2AC = BC$
C.	$AC = 2BC$
D.	$3AC = BC$

In a triangle ABC, AD is the median. F is the point on AC such that line BF bisect AD at E. The measure of AC = _____.

A.	2BE
B.	3AF
C.	3AE
D.	2AF

In the rhombus, ∠PRS = 2X - 142° and ∠QSP = 2X - 8°. Find the value of X.

A.	52°
B.	60°
C.	68°
D.	120°

The Ferris Wheel at the school fair has radius of 6 metres. It revolves at the rate of one revolution per 1 minute. How many seconds does it take a rider to travel from the bottom of the wheel to a point 3 vertical metres above the bottom?

A.	10
B.	12
C.	14
D.	9

Which of the following angles can be constructed using ruler and compass only?

A.	$50^\circ$
B.	$20^\circ$
C.	$30^\circ$
D.	$40^\circ$

An umbrella is made by stitching 11 triangular pieces of cloth each piece measuring 24 cm, 13 cm and 13 cm. How much cloth is required for this umbrella?

A.	660 cm2
B.	60 cm2
C.	330 cm2
D.	990 cm2

If radius of a sphere is 4a, find its surface area.

A.	64πa2
B.	36πa2
C.	4πa2
D.	16πa2

Clara got an average score of 84.25 in 4 tests. She got 85 as the average of the highest 3 scores, and her lowest two scores are the same numbers. What is the average of her highest two scores?

A.	87.5
B.	86
C.	85.5
D.	86.5

Philippe draws $4$ cards out of a deck of $52$ cards. What is the probability that he draws $a \space Jack, \space a \space Queen, \space a \space 2, \space and \space a \space King$?

A.	$\dfrac { 64 } { 270725 }$
B.	$\dfrac { 4 } { 52 }$
C.	$\dfrac { 256 } { 22100 }$
D.	$\dfrac { 256 } { 6497400 }$

Find the next shape.

A.
B.
C.
D.

Find factors of the polynomial $q^ 2 - 6pq - 4q + 24p$.

A.	($6p + q$)($q - 4$)
B.	($-6p - q$)($q - 4$)
C.	($-6p + q$)($-4q - 1$)
D.	$(q - 6p)$$(q - 4)$