2011
If a number is chosen at random from the set {x: 4 \(\leq x \leq 45\)}. Find the probability that it is a multiple of 3 or a multiple of 4
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2011 WAEC SSCE Mathematics Past Questions
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2011
Solve the equation; 3x - 2y = 7, x + 2y = -3
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2011
Given that cos xo = \(\frac{1}{r}\), express tan x in terms of r
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2011
Solve for x in the equation; \(\frac{3}{5}\)(2x - 1) = \(\frac{1}{4}\)(5x - 3)
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2011
If N112.00 exchanges for D14.95, calculate the value of D1.00 in naira
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2011
(a) P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2, find the value of Q when P = 3 and R = 5.(b) An aeroplane flies from town A(20°N, 60°E) to town B(20°N, 20°E). (i) if the journ…
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2011
(a) The area of trapezium PQRS is 60\(cm^{2}\). PQ // RS, /PQ/ = 15 cm, /RS/ = 25 cm and < PSR = 60°. Calculate the : (i) perpendicular height of PQRS ; (ii) |PS|.(b) Ade received \(\frac{3}{5}\) of a sum of money, N…
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2011
The table shows the scores obtained when a fair die was thrown a number of times.Score123456Frequency25x11910If the probability of obtaining a 3 is 0.26, find the (a) median(b) standard deviation of the distribution.
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2011
(a) The total surface area of two spheres are in the ratio 9 : 49. If the radius of the smaller sphere is 12 cm, find, correct to the nearest \(cm^{3}\), the volume of the bigger sphere.(b) A cyclist starts from a point…
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2011
Using ruler and a pair of compasses only,(a) construct a rhombus PQRS of side 7 cm and < PQR = 60°;(b) locate point X such that X lies on the locus of points equidistant from PQ and QR and also equidistant from Q and…
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2011
(a) Given that \(\sin x = 0.6, 0° \leq x \leq 90°\), evaluate \(2\cos x + 3\sin x\), leaving your answer in the form \(\frac{m}{n}\), where m and n are integers.(b) In the diagram, a semi-circle WXYZ with centre O is in…
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2011
(a) Divide \(\frac{x^{2} - 4}{x^{2} + x}\) by \(\frac{x^{2} - 4x + 4}{x + 1}\).(b) The diagram below shows the graphs of \(y = ax^{2} + bx + c\) and \(y = mx + k\) where a, b, c and m are constants. Use the graph(s) to…
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2011
In a class of 40 students, 18 passed Mathematics, 19 passed Accounts, 16 passed Economics, 5 passed Mathematics and Accounts only, 6 Mathematics only, 9 Accounts only, 2 Accounts and Economics only. If each student offe…
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2011
A library received $1,300 grant. It spends 10% of the grant on magazine subscriptions, 35% on new books, 15% to repair damaged books, 30% to buy new furniture and 10% to train library staff.(a) Represent this informatio…
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2011
(a) In the diagram, PQRST is a quadrilateral. PT // QS, < PTQ = 42°, < TSQ = 38° and < QSR = 30°. If < QTS = x and < POT = y, find: (i) x ; (ii) y.(b) In the diagram, PQRS is a circle centre O. If POQ = 1…
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2011
A sector of a circle with radius 21 cm has an area of 280\(cm^{2}\).(a) Calculate, correct to 1 decimal place, the perimeter of the sector.(b) If the sector is bent such that its straight edges coincide to form a cone,…
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2011
(a) Make q the subject of the relation \(t = \sqrt{\frac{pq}{r} - r^{2}q}\).(b) If \(9^{(1 - x)} = 27^{y}\) and \(x - y = -1\frac{1}{2}\), find the value of x and y.
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2011
(a) Simplify : \(\frac{\frac{1}{2} of \frac{1}{4} \div \frac{1}{3}}{\frac{1}{6} - \frac{3}{4} + \frac{1}{2}}\).(b) Given that \(\sqrt{x} = 10^{\bar{1}.6741}\), without using calculators, find the value of x.
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