2020
In an actual exam, a diagram will be provided illustrating a problem involving a light inextensible string, fixed at two points X and Y, with a body suspended from it. The setup will depict the string's total length, the…
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2020 WAEC SSCE Further Mathematics Past Questions
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2020
(a) A car is moving with a velocity of 10ms\(^{-1}\) It then accelerates at 0.2ms\(^{-2}\) for 100m. Find, correct to two decimal places the time taken by the car to cover the distance.(b) A particle moves along a straig…
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2020
The essays of 10 candidates were ranked by three examiners as shown in the table.candidatesABCDEFGHIJExaminer I1st3rd6th2nd10th9th7th4th8th5thExaminer II2nd1st3rd9th7th4th8th10th5th6thExaminer III3rd2nd1st6th9th8th7th5th…
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2020
(a) An association is made up of 6 farmers and 8 traders. If an executive body of 4 members is to be formed, find the probability that it will consist of at least two farmers. (b) The probability of an accident occurring…
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2020
(a) Simplify; \(\frac{log_2 ^8 + log_2 ^{16} - 4 log_2 ^2}{log_4^{16}}\)(b) The first, third, and seventh terms of an Arithmetic Progression (A.P) from three consecutive terms of a Geometric Progression (G.P). If the sum…
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2020
(a) Find the derivative of y = x\(^2\) (1 + x)\(^{\frac{3}{2}}\) with respect to x.(b) The centre of a circle lies on the line 2y - x = 3. If the circle passes through P(2,3) and Q(6,7), find its equation.
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2020
(a) If (x + 2) is a factor of g(x) = 2x\(^3\) +11x\(^2\) - x - 30, find the zeros of g(x).(b) Solve 3(2\(^x\)) +3\(^{y - 2}\) = 25 and 2x - 3\(^{y + 1}\) = -19 simultaneously.
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2020
Given that w = 8i + 3j, x = 6i - 5j, y = 2i + 3j and |z| = 41. find z in the direction of w + x - 2y.
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2020
Forces F\(_1\)(10N, 090°) and F\(_2\)(20N, 210\(^o\)) and (4N,330°) act on a particle, Find, correct to one decimal place, the magnitude of the resultant force.
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2020
(a) A bag contains 10 red and 8 green identical balls. Two balls are drawn at random from the bag, one after the other, without replacement. Find the probability that one is red and the other is green.(b) There are 20% d…
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2020
The table shows the distribution of marks scored by 64 students in a test:Marks10 - 1920 - 2930 - 3940 - 4950 - 5960 - 6970 - 7980 - 8990 - 99Frequency2228131112104(a) Draw a histogram for the distribution.(b) Use the hi…
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2020
If \(\frac{3x^2 + 3x - 2}{(x - 1)(x + 1)}\) = P + \(\frac{Q}{x - 1} + \frac{R}{x - 1}\) Find the value of Q and R
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2020
Evaluate; \(\int^3_1(3x - 2)^5 dx\)
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2020
(a) Two functions p and q are defined on the set of real numbers, R, by p : y \(\to\) 2y +3 and q : y -> y - 2. Find QOP(b) How many four digits odd numbers greater than 4000 can be formed from 1,7,3,8,2 if repetition…
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2020
A binary operation * is defined on the set of real numbers R, by p*q = p + q - \(\frac{pq}{2}\), where p, q \(\in\) R. Find the:(a) inverse of -1 under * given that the identity clement is zero.(b) truth set of m* 7 = m*…
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2020
Consider the statements:x: Birds flyy: The sky is blueWhich of the following statements can be represented as x \(\to\)y?
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2020
If log 5(\(\frac{125x^3}{\sqrt[ 3 ] {y}}\) is expressed in thevalues of p, qand k respectively.
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2020
If the sum of the roots of 2x\(^2\) + 5mx + n = 0 is 5, find the value of m.
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2020
Find the unit vector in the direction oppositeto the resultant of forces.F\(_1\) = (-2i - 3j) and F\(_2\)= (5i - j)
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2020
P(3,4) and Q(-3, -4) are two points in a plane. Find the gradient of the line that is normal to the line PQ.
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