The following marks were obtained by candidates in an examination 
Calculate the 42nd percentile

The side of a square of length 5 cm is increasing at 0.1m/s. What is the rate of increase of the area of the square?

A line with equation y = 4x + 2 intersects a curve with the equation y = x² + 2 at the points M and N. Evaluate the area enclosed between the curve and the line

Evaluate the definite integral:

Find the area bounded by the curve y =x(x - 1) and the line y = 3x

A bag contains white, blue and red ping pong balls in the ratio 8 : 3: 2.
There are 10 red balls.
If 10 white and 10 blue balls are removed from the bag,
the new ratio is

The radius of a circle s increasing at the rate of 0.05 cm/s. Find the rate of increase of the circumference when the radius of the circle is 4 cm.

Find the value of
sin 225°

Given that P = {1, 2, 3, 4};
Q ={5, 6, 7, 8} and
R = {1, 2, 3, 2, 4, 2},
it follows that
I.    P = R
II.   n(R) = 6
III.  n(P ∪R) = 4
Which of the statements above is (are) true?

For what range of values of y is
y - 1 > 4(y + 2)?

A line with equation y = 4x + 2 intersects a curve with the equation y = x² + 2 at the points M and N. Determine the coordinates of M and N

Factorize the polynomial   x ³ - 1

Find the value of

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The following marks were obtained by candidates in an examination 

What is the modal group

PQRS is a quadrilateral in which, PS is parallel to QR. PQ = 16cm, SR = 15 cm and angle QPS = 60° and angle PSQ = 44°.
Calculate /QS/

If
A = ,
write the value of det A

Evaluate the integrals:

Decompose into partial fractions : (8x + 14) / (x + 1)(x + 5)

A school has 43 students in class 3A and 47 students in 3B.
The average score in a test is 55 for class 3A and 60 for class 3B.
The average score for both classes, correct to one decimal place, is

Find the area bounded by the curve y = x(2 - x), the x-axis, x=0 and x= 2.

If (x - 3) < x/3,
then x is

Find angle a°

Write the value of the angle in surd form sin 240°

A young man 1.7 m tall, while standing, measures the angle of elevation of the top of a pole as 40°. If he is 15 m from the pole, what is the height of the pole?

Find the remainder when
4x³+ 5x²- 4x+ 20 is divided by x+4

Solve the equation
4 cosx - 3 = 0 
for 0° ≤x≤ 360°

A trader sold an article for N 660.00 at a profit of 20%.
In order to make a profit of 30%,
the article should have been sold for

If x⁴-kx³ + 10x² + lx - 3 is divisible by (x-1) and if when it is divided by (x+2) the remainder is 27, find the constants k and l, respectively.

Find the value of sin 145°

Find the value of
cosec 90°

Solve the following equation for x 

Add the polynomials: (xy + 3x + 2) + (3x² + y)

The 8th term of the A.P.
-4, -2, 0... is

The ratio of the age of a father to that of his son is 9 : 2.
If the son is now 8 years old,
the ratio of their ages in 4 years time will be

The marks scored by students in a test are recorded in the table below

Calculate the median

If y = (2/3)x + 1 and
z = (2/3) y + 1,
then the value of z when x = 66 is

Evaluate: 
(xy² - yz²) (x²z - xyz)
when x = 2, y = -2 and z = -½

The lowest common multiple of the prime numbers between 1 and 10 is

The nth term of the A.P
10, 3, -4, ... is

The velocity of a particle, v m/s, after t s is given by v = t² + 5. Find the distance travelled at the end of 3 s.

For what value of x the matrix 
is a skew symmetric matrix

If x varies directly as the square root of n, and x = 9 when n = 9,
the value of x when n = 16/9 is

Z is partly constant and partly varies inversely as the square of D.
When D = 1, Z = 11 and when D = 2, Z = 5.
Find the value of Z when D = 4

Differentiate the function wrt x: