Hello and Welcome to SSCE (WAEC and NECO) Practice Test - Further Mathematics

1. You are to attempt 20 Random Objectives Questions ONLY for 15 minutes.
2. Supply your name and name of school in the text box below.
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If α and β are the roots of the equation 5x2 - 3x + 4 = 0, find α2 and β2

A. $-\frac{31}{25}$      B. $-\frac{9}{25}$      C. $\frac{3}{25}$      D. $\frac{31}{25}$      E. $\frac{8}{5}$

Find $lim_{x\rightarrow&space;3}\left&space;(&space;\frac{x^{3}&space;+&space;x^{2}&space;-&space;12x}{x^{2}&space;-&space;9}&space;\right&space;)$

A. $\frac{7}{2}$      B. 0      C. $\frac{7}{-2}$      D. -7

Four fair coins are tossed once. Calculate the probability of obtaining equal number of heads and tails.

A. $\frac{1}{4}$     B. $\frac{3}{8}$     C. $\frac{1}{2}$     D. $\frac{15}{16}$

For what values of m is 9y2 + my + 4 a perfect square?

A. ±$2\sqrt{3}$     B. ±$6\sqrt{2}$      C. +6      D. +12

A box contains 5 red balls and k blue balls. A ball is selected at random from the box. If the probability of selecting a blue ball is $\frac{2}{3}$ , find the value of k.

A. 5     B. 6     C. 8     D. 10

In how many ways can a committee of five be selected from eight students if two particular students are to be included?

A. 20     B. 28     C. 54     D. 58

If $\begin{vmatrix}&space;1+2x&space;&&space;-1\\&space;6&space;&&space;3-x&space;\end{vmatrix}$ = -3, find the values of x.

A. x = 3, -2     B. x = 4, - $\frac{2}{3}$      C. x = -4, $\frac{3}{2}$      D. x = 4, $-\frac{3}{2}$

Given the statement:

p: the subject is difficult
q: I will do my best

Which of the following is equivalent to 'Although the subject is difficult, I will do my best'

A. pq     B. ∼pq     C. p ∧ (∼q)     D. pq

A particle accelerates at 12ms-2 and travels a distance of 250m in 6s. Find the initial velocity of the particle.

A. 5.7 ms-1      B. 6.0 ms-1      C. 60.0 ms-1      D. 77.5 ms-1

A line passes through the origin and the point $\left&space;(&space;1\frac{1}{4},\:&space;2\frac{1}{2}&space;\right&space;)$. What is the gradient of the line?

A. 1     B. 2     C. 3     D. 4

Each of the 90 students in a class speak at least Igbo and Hausa. 1f 56 students speak lgbo arid 50 speak Hausa, find the probability that a student selected at random from the class speaks Igbo only.

A. $\frac{28}{45}$      B. $\frac{4}{9}$      C. $\frac{8}{45}$      D. $\frac{1}{9}$

Given that 3x + 4y +6 = 0 and 4x - by + 3 = 0 are perpendicular, find the value of b

A. 4     B. 3.      C. $\frac{1}{3}$      D. $\frac{1}{4}$

Given that f: x → x2 and g: x → x + 3 where x ∈ R, find fog(2)

A. 25      B. 9      C. 7      D. 5

Force of magnitude 8 N and 5 N acts on a body as shown in the diagram below:

Calculate, correct to 2 decimal places, the resultant force acting at O

A. 14.06 N     B. 13.00 N     C. 9.83 N     D. 8.26 N

A mass of 75kg is placed on a lift. Find the force exerted by the floor of the lift on the mass when the lift is moving up with a constant velocity. [Take g = 9.8 ms-2]

A. 750 N     B. 745 N     C. 735 N     D. 98 N

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## Scoreboard for SSCE (WAEC and NECO) Practice Test - Further Mathematics

1. Jude - 15%
2. solonmon margret - 0%
3. Oluwabukunmi - 0%