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…
See more
2019 WAEC SSCE Further Mathematics Past Questions
2019
Simplify \(\frac{ 625(\frac{3x}{4} - 1) + 125^{(x - 1)} }{5^{(3x - 2)}}\)
See more
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…
See more
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…
See more
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…
See more
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
See more
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…
See more
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
See more
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.
See more
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.
See more
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…
See more
2019
Three forces N, 14N and 16N acting on a particle keep it in equilibrium. Find the angle between the forces 10N and 16N.
See more
2019
If sin x \(\frac{P - Q}{P + Q}\), where 0\(^o\) \(\leq\) x \(\leq\) 90\(^o\), find 1 - tan\(^2\)x
See more
2019
How many terms of the series -3 -1 + 1 +..... add up to 165?
See more
2019
(a) Find the coordinates of the point which divides the line joining (7, -5) and (-2, 7) externally in the ration 3 : 2.(b) Without using calculators or mathematical tables, evaluate \(\frac{2}{1 + \sqrt{2}}\) - \(\frac{…
See more
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
See more
2019
(a) P(-1, 4), Q(2, 3), R(x, y) and S(-2, 3) are the verticles 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 trav…
See more
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…
See more
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…
See more
2019
Using determinants, solve the following equations simultaneously.5x 6y + 4z = 157x + 4y 3z = 192x + y + 6z = 46
See more