2022
The vectors 6i + 8j and 8i - 6j are parallel to OP and OQ respectively. If the magnitude of OP and OQ are 80 units and 120 units respectively, express: OP and OQ in terms of i and j;ii. | PQ|, in the form c√k, where c an…
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2022 WAEC SSCE Further Mathematics Past Questions
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2022
A particle initially at rest moves in a straight line with an acceleration of \(10t - 4t^2\)m/s\(^2\) Find the: a. velocity of the particle after t seconds;ii. average acceleration of the particle during the 4th second.b…
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2022
The table shows the corresponding values of two variables X and Y.X14161718222427283133Y2219151310123532a. plot a scatter diagram to represent the datab i. Calculate:x̄, the mean of X and ȳ, the mean of Y;ii. Caculate:…
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2022
A basket contains 12 fruits: orange, apple and avocado pear, all of the same size. The number of oranges, apples and avocado pear forms three consecutive integers.Two fruits are drawn one after the other without replacem…
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2022
A solid rectangular block has a base that measures 3x cm by 2x cm. The height of the block is ycm and its volume is 72cm\(^3\).i. Express y in terms of x.ii. An expression for the total surface area of the block in terms…
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2022
Given that nC\(_4\), nC\(_5\) and nC\(_6\) are the terms of a linear sequence (A.P), find the : i. value of n ii. common differences of the sequence.
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2022
Given that p = (8N,030º) and q = (9N, 150º), find, in component from, the unit vector along(p - q).
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2022
A body of mass of 18kg is suspended by an inextensible string from a rigid support and is pulled by a horizontal force F until the angle of inclination of the string to the vertical is 35º. If the system is in equilibriu…
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2022
The table shows the scores obtained by a group of artistes in Vocal (X) and the instrument (Y) musical competition.Vocal (X)6369725982919568Instrument (Y)5861675153799257 Calculate the spearman's rank correlation coeffic…
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2022
The probability that Abiola will be late to the office on a given day is 2/5. In a given working week of six days, find, correct to four significant figures, the probability that he will:(a) only be late for 3 days.(b) n…
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2022
Solve 3cos2x - sinx = 0 for 0º≤x≤360º
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2022
Two functions f and g are defined on the set of real numbers, R, byf:x x\(^2\) + 2 and g:x \(\frac{1}{x+2}\).Find the domain of (g∘f)\(^{-1}\)
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2022
Solve \(2^{(2y+1)} - 5(2^y) + 2\) = 0
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2022
A binary operation * is defined on the set T = {-2,-1,1,2} by p*q = p\(^2\) + 2pq - q\(^2\), where p,q ∊ T. Copy and complete the table.*-2-112-27-8-12-21-712-1
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2022
The length of the line joining points (x,4) and (-x,3) is 7 units. Find the value of x.
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2022
If f(x-1) = x\(^3\)+ 3x\(^2\)+ 4x - 5, find f(2)
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2022
Evaluate: lim\(_{x \to -2}\)\(\frac{x^3+8}{x+2}\).
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2022
A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º). Express the force that will keep the particle in equilibrium in the form xi + yj, where x and y are scalars.
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2022
If α and β are roots of x\(^2\) + mx - n = 0, where m and n are constants, form the equation whose roots are 1/α and 1/β.
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2022
A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t\(^2\) + 3t. Find the magnitude of F at time t.
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