2023
The probabilities that Atta and Tunde will hit a target in a shooting contest are \(\frac{1}{6}\) and \({1}{9}\) respectively. Find the probability that only one of them will hit the target.
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2023 WAEC SSCE Further Mathematics Past Questions
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2023
A function \(f\) is defined by \(f :x→\frac{x + 2}{x - 3},x ≠ 3\).Find the inverse of \(f\) .
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2023
If \(X\) and \(Y\) are two independent events such that \(P (X) = \frac{1}{8}\) and \(P (X ⋃ Y) = \frac{5}{8}\), find \(P (Y)\).
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2023
Given that \(y^2 + xy = 5\), find \(\frac{dy}{dx}\).
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2023
A linear transformation on the oxy plane is defined by \(P : (x, y) → (2x + y, -2y)\). Find \(P^2\)
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2023
The velocity of a body of mass 4.56 kg increases from \((10 ms^{-1}, 060^o) to (50 ms ^{-1}, 060^o)\) in 16 seconds . Calculate the magnitude of force acting on it.
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2023
Given that \(\frac{3x + 4}{(x - 2)(x + 3)}≡\frac{P}{x + 3}+\frac{Q}{x - 2}\),find the value of Q.
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2023
If \(3x^2 + p x + 12 = 0\) has equal roots, find the values of p .
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2023
If α and β are the roots of \(7x2 +12x - 4 = 0\),find the value of \(\frac{αβ}{(α + β)^2}\)
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2023
Evaluate: \(\int(2x + 1)^3 dx\)
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2023
In how many ways can a committee of 3 women and 2 men be chosen from a group of 7 men and 5 women?
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2023
Adu's scores in five subjects in an examination are 85, 84, 83, 86 and 87. Calculate the standard deviation.
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2023
An exponential sequence (G.P.) is given by \(\frac{9}{2},\frac{3}{4},\frac{1}{8},\)....Find its sum to infinity.
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2023
A uniform beam PQ of length 80 cm and weight 60 N rests on a support at X where | PX | = 30 cm. If the body is kept in equilibrium by a mass m kg which is placed at P , calculate the value of m [Take g = 10 ms\(^{-2}\)]
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2023
If \(f : x → 2 tan x\) and \(g : x → √(x^2 + 8), find ( g o f )(45^o)\)
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2023
An exponential sequence (G.P.) is given by 8√2, 16√2, 32√2, ... . Find the n\(^{th}\) term of the sequence
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2023
Solve 6 sin 2θ tan θ = 4, where 0º < θ < 90º
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2023
Given that r = (10 N , 200º) and n = (16 N , 020º), find (3r - 2n).
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2023
\(Simplify: \frac{log √27 - log √8}{log 3 - log 2}\)
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2023
The table shows the mark obtained by students in a test. Marks 1 2 3 4 5 Frequency 2 k 1 1 2 If the mean mark is 3, find the value of k.
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