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

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

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

The first term of a linear sequence is 9 and the common difference is 7. If the nth term is 380, find the value of n.

A. 45    B. 54    C. 56     D. 65

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

A. 25      B. 9      C. 7      D. 5

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

If log3x = log93, find the value of x.

A. 32     B.      C.      D.

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

A. ±     B. ±      C. +6      D. +12

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}

If Px2 + (P + 1)x + P = 0, has equal roots, find the values of P

A. -1 and -\frac{1}{3}      B. -1 and \frac{1}{3}      C. 1 and -\frac{1}{3}      D. 1 and \frac{1}{3}

A function is defined by h : x → 2 - , x ≠ ,   find h-1

A. 6      B.      C.      D.

If α and β are the roots of the equation x2 + x - 2 = 0, find the value of

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

Given that x2 + 4x + k ≡ (x + r)2 + 1, find the value of k and r.

A. k = 5, r = -1      B. k = 5, r = 2      C. k = 2, r = 5      D. k = -1, r = 5

Evaluate: 

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

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 distance covered after 3 seconds

A. 10 m      B. 9 m      C. \frac{13}{3} m      D. \frac{9}{2} m

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 angle the resultant makes with the horizontal.

A. 80.76o      B. 75.00o      C. 71.99o      D. 15.00o

If  , find the value of y

A. 4      B. 2      C. -4      D. -5

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

The gradient of the curve at the point (-2, 0) is 3x2 - 4x. Find the equation of the curve.

A. y = 6x - 4        B. y = 6x2 - 4x + 12       C. y = x3 - 2x2       D. y = x3 - 2x2 + 16

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

Forces 90 N and 120 N act in directions 120o and 240o respectively. Find the resultant of these forces.

A.     B.     C.     D.

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

A.      B. 4     C.      D.

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