WAEC SSCE - Further Mathematics - 2020 (Objective)

In which of the following series can be the formula S = \(\frac{a}{1 - r}\) where a is the first term and r is the common ratio, be used to find the sum of all the terms? 

The distance(s) in metres covered by a particle in motion at any time, t seconds, is given by S =120t - 16t\(^2\). Find in metres, the distance covered by the body before coming to rest.

The variables x and y are such that y =2x\(^3\) - 2x\(^2\) - 5x + 5. Calculate the corresponding change in y and x changes from 2.00 to 2.05.

A function f defined by f : x -> x\(^2\) + px + q is such that f(3) = 6 and f(3) = 0. Find the value of q.

If log 5(\(\frac{125x^3}{\sqrt[ 3 ] {y}}\) is expressed in the values of p, q and k respectively.

Find the nth term of the linear sequence (A.P) (5y + 1), ( 2y + 1), (1- y),...

A stone was dropped from the top of a building 40m high. Find, correct to one decimal place, the time it took the stone to reach the ground. [Take g = 9.8ms\(^{-2}\)]

Which of the following is not an equation of a circle?

A force of 230N acts in its direction 065\(^o\). Find its horizontal component.

Find the angle between i + 5j and 5i - J

Given that X  : R \(\to\) R is defined by x = \(\frac{y + 1}{5 - y}\) , y \(\in\) R, find the domain of x.

Find the median of the numbers 9,7, 5, 2, 12,9,9, 2, 10, 10, and 18.

In what interval is the function f : x -> 2x - x\(^2\) increasing? 

Find the unit vector in the direction opposite to the resultant of forces.  F\(_1\) = (-2i - 3j) and F\(_2\) = (5i - j)

If cos x = -0.7133, find the values of x between 0\(^o\) and 360\(^o\) 

Find the inverse of \(\begin{pmatrix} 3 & 5 \\ 1 & 2 \end{pmatrix}\)

Consider the statements:

x: Birds fly

y:  The sky is blue

Which of the following statements can be represented as x \(\to\) y?

If \(\frac{6x + k}{2x^2 + 7x - 15}\)  = \(\frac{4}{x + 5} - \frac{2}{2x - 3}\). Find the value of k. 

Simplify; \(\frac{\sqrt{5} + 3}{4 - \sqrt{10}}\) 

Differentiate \(\frac{x}{x + 1}\) with respect to x. 

If the binomial expansion of (1 + 3x)\(^6\) is used to evaluate (0.97)\(^6\), find the value of x. 

A bag contains 5 red and 5 blue identical balls. Three balls are selected at random without replacement. Determine the probability of selecting balls alternating in color.

A three-digit odd number less than 500 is to be formed from 1,2,3,4 and 5. If repetition of digits is allowed, in how many ways can this be done?

If \(\int^3_0(px^2 + 16)dx\) = 129. Find the value of p.

A binary operation * is defined on the set of real number, R, by \(x*y = x^2 - y^2 + xy\), where \(x, \in R\). Evaluate \((\sqrt{3})*(\sqrt{2})\)

\({\color{red}2x} \times 3\)

Determine the coefficient of x\(^3\) in the binomial expansion of ( 1 + \(\frac{1}{2}\)x) 

If the sum of the roots of 2x\(^2\) + 5mx + n = 0 is 5, find the value of m.

Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the value of (x - y). 

Calculate, correct to two decimal places, the area enclosed by the line 3x - 5y + 4 = 0 and the axes.

If X = \(\frac{3}{5}\) and cos y = \(\frac{24}{25}\), where X and Y are acute, find the value of cos (X + Y). 

P(3,4) and Q(-3, -4) are two points in a plane. Find the gradient of the line that is normal to the line PQ. 

A circle with centre (5,-4) passes through the point (5, 0). Find its equation.

Calculate the variance of \(\sqrt{2}\), (1 + \(\sqrt{2}\)) and (2 + \(\sqrt{2}\)) 

If  \(\begin{pmatrix} p+q & 1\\ 0 & p-q \end {pmatrix}\) = \(\begin{pmatrix} 2 & 1 \\ 0 & 8 \end{pmatrix}\)

Find the values of p and q

If V = plog\(_x\), (M + N), express N in terms of X, P, M and V

Given that F = 3i - 12j, R = 7i + 5j and N = pi + qj are forces acting on a body, if the body is in equilibrium. find the values of p and q.

In how many ways can the letters of the word MEMBER be arranged?

Calculate the probability that the product of two numbers selected at random with replacement from the set {-5,-2,4, 8} is positive

Given that P = {x : 1 \(\geq\) x \(\geq\) 6} and Q = {x : 2 < x < 10}. Where x are integers, find n(p \(\cap\) Q)