2024
(a) A boy runs in a line and his displacement at time t seconds after leaving the start point O is X metres, where 20X = 4t\(^2\) + t\(^3\). Find the: (i) velocity of the body when t = 15 seconds (ii) value of t for whic…
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2024 WAEC SSCE Further Mathematics Past Questions
2024
PART II A particle of weight 12 N lying on a horizontal ground is acted by forces F\(_1\) = (10 N, 090º), F\(_2\) = (16 N, 180º), F\(_3\) =…
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2024
In an examination, 70% of the candidates passed. If 12 candidates are selected at random, find the probability that: (a) at least two of them failed; (b) exactly half of them passed; (c) not more than one - six of them f…
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2024
The data shows the ordered marks scored by students in a test: 11, 12, (2x + y), (x + 2y), 14, and ((y\(^2\) - 2x). Given that the median is 13\(\frac{1}{2}\) and y is greater than x by 1, find: (a) the values of x and y…
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2024
(a) Express \(\frac{9x}{(2x + 1)(x^2 + 1)}\) in partial fraction (b) If \(^{2m}P_2\) - 10 = \(^m P_2\), find the positive value of m.
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2024
Three linear transformations, P, Q, and R in the oxy plane are defined by P: (x, y) → (-4x - y, 2x) Q: (x, y) → (y, 6x - 9y) R: (x, y) → (x - 2y, 3x + 5y) (a) write down the matrices of P, Q, and R (b) Find: (i) 2P - 3R…
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2024
SECTION B (PART 1) A curve is given by y = 8x + \(\frac{27}{2x^2}\), FIND: (a) an expression for \(\frac{dy}{dx}\), (b) the coordinates of the sta…
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2024
A body of mass 40 kg is placed on a rough inclined plane which makes an angle of 30\(^0\) with the horizontal. If a force of 420 N is applied upwards parallel to the plane. find the: (a) maximum friction force that will…
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2024
The magnitude of two vectors u and v are 10N and 12N respectively. If the magnitude of their resultant is 15N, calculate the angle between them.
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2024
The table shows the distribution of distance (in km) of 60 villages from a state capital. Distance (in km) 0 - 19 20 - 29 30 - 39 40 - 49 50 - 59 70 - 99 100 - 149 Number of villages 12 7 6 8 5 9 10
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2024
Two events M and N are such that P(M) = \(\frac{1}{2}\), P(N) = \(\frac{9}{20}\) and P(M ∩ N) = \(\frac{11}{50}\) (a) P(M ∩ N'): (b) P(M' ∩ N)
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2024
Find the equation of the normal to the curve y = 7x - 5x\(^2\) at x = 2
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2024
Using the trapezium rule with seven ordinates, evaluate, correct to three decimal places, \(\int_{2.4}^{3.6} \frac{1}{\sqrt{x^2 - 2}}\)dx
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2024
Find the sum of all natural numbers between 403 and 603 which are divisible by 7
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2024
If tan x = \(\frac{1}{3}\), where 180º < x < 270º evaluate \(\frac{sin2 x - cos x}{2 tan x + sin 2x}\), leaving the answer in surd form (radicals)
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2024
Find the sum of the first 20 terms of the sequences, -7, - 3, 1, . . . . .
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2024
In a truth table, if p is true and q is false, which of the following notations is false
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2024
The parents of 7 out of every 10 students in a class are farmers. If 12 students were selected at random, find the probability that the parents of 8 of them will be farmers.
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2024
The line x + y + 4 = 0 makes an angle of \(\theta\) with the x-axis. Find the value of \(\theta\)
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2024
The scores of some students in a class test are 4, 6, 1, 8, 9, 5, and 2. Calculate, correct to one decimal place, the mean deviation of their scores.
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