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…
See more
2024 WAEC SSCE Further Mathematics Past Questions
Ulearngo is an independent study app. It is not affiliated with, endorsed by, or representing West African Examinations Council (WAEC). Always confirm official exam, admission, registration, syllabus, timetable, and result information from WAEC official website, WAEC Nigeria.
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\(_3\) =…
See more
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…
See more
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…
See more
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.
See more
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…
See more
2024
SECTION B (PART 1) A curve is given by y = 8x + \(\frac{27}{2x^2}\), FIND: (a) an expression f…
See more
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…
See more
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.
See more
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
See more
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)
See more
2024
Find the equation of the normal to the curve y = 7x - 5x\(^2\) at x = 2
See more
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
See more
2024
Find the sum of all natural numbers between 403 and 603 which are divisible by 7
See more
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)
See more
2024
Find the sum of the first 20 terms of the sequences, -7, - 3, 1, . . . . .
See more
2024
In a truth table, if p is true and q is false, which of the following notations is false
See more
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.
See more
2024
The line x + y + 4 = 0 makes an angle of \(\theta\) with the x-axis. Find the value of \(\theta\)
See more
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.
See more