2019
Given that M : (x, y) \(\to\) (7x, 3x - y) and N : (x, y) \(\to\) (2x - y; 5x + 3y) (a) write down matrices M and N of the linear transformation(b) find the image of P(2, -3) under the linear transformation N followed by…
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2019 WAEC SSCE Further Mathematics Past Questions
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2019
Simplify \(\frac{ 625(\frac{3x}{4} - 1) + 125^{(x - 1)} }{5^{(3x - 2)}}\)
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2019
(a) Given that m = i - i, n = 2i + 3j and 2m + n - r = 0, find |r|(b) The distance, S metres of a moving particle at any time tseconds is given byS = 3t - \(\frac{t^3}{3}\) + 9Find the;(i) time(ii) distance travelledWhen…
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2019
A body, moving at 20ms\(^{-1}\) accelerates uniformly at 2\(\frac{1}{2}ms^{-2}\) for 4 seconds. It continues the journey at this speed for 8 seconds, before coming to rest seconds at tseconds after with uniform retardati…
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2019
In a research to determine the relationship between performance of students in an entrance examination and subsequent school performance, the results of ten randomly selected students wre obtained as follows;StudentsABCD…
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2019
In an examination, 60% of the candidates passed. If 10 candidates are selected at random, find the probability that;(1) at least two of the, failed(2) exactly half of them passed (3) at most two of them failed
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2019
(a) Find the range of value of p for which 4x\(^2\) - px + 1 = 0 (b)(i) Expand (1 + 3x)\(^6\) in ascending powers of x(ii) Using the expression in 10(ii) find, correct to four significant figures, the value of (1.03)\(^6…
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2019
The curve y = 7 - \(\frac{6}{x}\) and the line y + 2x - 3 = 0 intersect at two point. Finf the;(a) coordinates of the two points(b) equation of the perpendicular bisector of the line joining the two points
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2019
Two fair dice are thrown together two times. Find the probability of obtaining a sum of seven in the first throw and a sum of four in the second throw.
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2019
The table shows the age distribution in years of a group of people Age(in years) 1 - 56 - 1011 - 1516 - 2021 - 2526 - 30Number of people181225152010Using an assume mean of 13 years, find the mean age of the people.
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2019
A uniform beam, WX, of length 90 cm and weight 50N is suspended on a pivot, 35 cm from W. It is kept in equilibrum by a means of forces T and 20N applied at Y and Z respectively. |WY| = 10cm and |XZ| = 10cm. Find the val…
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2019
Three forces 10N, 14N and 16N acting on a particle keep it in equilibrium. Find the angle between the forces 10N and 16N.
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2019
If sin x \(\frac{P - Q}{P + Q}\), where 0\(^o\) \(\leq\) x \(\leq\) 90\(^o\), find 1 - tan\(^2\)x
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2019
How many terms of the series -3 -1 + 1 +..... add up to 165?
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2019
(a) Find the coordinates of the point which divides the line joining (7, -5) and (-2, 7) externally in the ratio 3 : 2.(b) Without using calculators or mathematical tables, evaluate \(\frac{2}{1 + \sqrt{2}} - \frac{2}{2…
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2019
Forces(5N, 030\(^o\)), (PN, 060\(^o\)), (QN, 150\(^o\)), (3N, 180\(^o\)) and (5N, 270\(^o\)) act on a body . If the system is in quilibrium, find, correct to one decimal place, the values of P and Q
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2019
(a) P(-1, 4), Q(2, 3), R(x, y) and S(-2, 3) are the vertices of a parallelogram. Find the value of x and y. (b) A particle starts from rest and moves in a straight line. It attains a velocity of 20ms\(^{-1}\) after trave…
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2019
(a) In a bakery, 30% of loaves of bread produced are of bad quality. If twelve loaves are selected at random from the bakery, calculate, correct to four decimal places. the probabshty of getting (i) exactly 6 bad ones:(i…
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2019
The table shows the distribution of masks obtained by students in an examination.Marks50 - 5455 - 5960 - 6465 - 6970 - 7475 - 7980 - 8485 - 89Frequency515202812974Using an assumed mean of 67, calculate, correct to one de…
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2019
Using determinants, solve the following equations simultaneously.5x 6y + 4z = 157x + 4y 3z = 192x + y + 6z = 46
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