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.
Full Name (Surname First):
School:

If f(x) = 3x3 + 8x2 + 6x + k and f(2) = 1, find the value of k

A. -67    B. -61    C. 61    D. 67

A particle starts from rest and moves in a straight line such that its acceleration after t seconds is given by a = (3t - 2)ms-2.

Find the other time when the velocity would be zero.

A. $\frac{1}{3}$ seconds      B. $\frac{3}{4}$ seconds      C. $\frac{4}{3}$ seconds      D. 2 seconds

A function is defined by h : x → 2 - $\frac{1}{2x-3}$, x ≠ $\frac{3}{2}$,   find h-1 $\left&space;(\frac{1}{2}&space;\right&space;)$

A. 6      B. $\frac{11}{6}$      C. $\frac{11}{4}$      D. $\frac{5}{3}$

Given that r = 2i - j, s = 3i + 5j and t = 6i - 2j, find the magnitude of (2r + s - t)

A. $\sqrt{15}$     B. 4     C. $\sqrt{24}$     D. $\sqrt{26}$

If a fair coin is tossed four times, what is the probability of obtaining at least one head?

A. $\frac{1}{2}$     B. $\frac{1}{4}$     C. $\frac{13}{16}$     D. $\frac{15}{16}$

Simplify (1 - Sin θ)(1 + Sin θ)

A. Sin2θ      B. Sec2θ      C. tan2θ      D. Cos2θ
Forces F1 (8 N, 030o) and F2 (10 N, 150o) acts on a particle. Find the horizontal component of the resultant force.

A. 1.7 N     B. 4.5 N     C. 9.0 N     D. 13.0 N

Find the minimum value of y = x2 + 6x - 12

A. -21     B. -12     C. -6     D. -3

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

A line passes through the origin and the point $\left&space;(&space;1\frac{1}{4},\:&space;2\frac{1}{2}&space;\right&space;)$. Find the y coordinate of the line when x = 4

A. 2     B. 4     C. 6     D. 8

The deviations from the mean of a set of numbers are (k + 3)2, (k + 7), -2, k and (k + 2)2 where k is a constant. Find the value of k.

A. 3     B. 2     C. -2     D. -3

Given that $\overline{AB}&space;=&space;\binom{4}{3}$ and $\overline{AC}&space;=&space;\binom{2}{-3}$, find $\left&space;|\overline{BC}&space;\right&space;|$

A. $4\sqrt{2}$     B. $6\sqrt{2}$     C. $2\sqrt{10}$     D. $4\sqrt{10}$

If 2, (k + 1), 8, ........ form an exponential sequence (GP), find the value of k.

A. -3 and 5     B. 5 and -5     C. 3 and -3     D. -5 and 3

If 8x ÷ $\left&space;(\frac{1}{4}&space;\right&space;)^{y}$= 1  and  log2(x - 2y) = 1, find the value of (x - y)

A. $\frac{5}{4}$     B. $\frac{3}{5}$     C. 1     D. $\frac{2}{3}$

If x = i - 3j and y = 6i - j, calculate the angle between x and y

A. 60o     B. 75o     C. 81o     D. 85o

The radius of a sphere is increasing at a rate of 3 cms-1, find the rate of increase in the surface area, when the radius is 2 cm

A. 8π cm2 s-1      B. 16π cm2 s-1      C. 24π cm2 s-1      D. 48π cm2 s-1

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

Using the binomial expansion (1 + x)6 = 1 + 6x + 15x2 + 20x3 + 15x4 + 6x5 + x6, find, correct to three decimal places, the value of (1.98)6

A. 68.245       B. 61.255       C. 60.255       D. 60.245

Given that y = 4 - 9x and Δx = 0.1, Calculate Δy

A. 9.0     B. 0.9     C. -0.3     D. -0.9

A 24 N force acts on a body such that it changes its velocity from 5 ms-1 to 9 ms-1 in 2 seconds, lf the body is travelling in a straight line, calculate the distance covered during the period.

A. 22 m     B. 18 m     C. 14 m     D. 10 m

To submit your quiz and see your score/performance report; Make sure you supply your name and name of school in the form above.

Unable to submit your quiz? . Make sure you supply your full name and name of school before submission.