1991
Factorize 3a2 - 11a + 6
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1991 WAEC SSCE Mathematics Past Questions
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1991
For what value of y is the expression (y + 2)/y2 - 3y- 10 undefined?
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1991
Simplify: (1)-11/2/4
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1991
Find the number whose logarithm to base 10 is 2.6025
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1991
Simplify: log6 + log2 -- log12
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1991
Express 0.0462 in standard form
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1991
From a horizontal distance of 8.5 km, a pilot observes that the angles of depression of the top and the base of a control tower are 30° and 33° respectively. Calculate, correct to three significant figures :(a) the shor…
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1991
(a) Using a ruler and a pair of compasses only, construct a parallelogram PQRS with diagonals |PR| = 9cm and |QS| = 6cm, intersecting at K and < QKR = 60°.(b) Construct a rectangle PABS which is equal in area to PQRS…
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1991
The table below shows the distribution of the waiting times for some customers in a certain petrol station.Waiting time (in mins)No of customers1.5 - 1.932.0 - 2.4102.5 - 2.9183.0 - 3.4103.5 - 3.974.0 - 4.42(a) Write do…
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1991
(a) Prove that the angle which an arc of a circle subtends at the centre is twice that which it subtends at any point on the remaining part of the circumference.(b) In the diagram, O is the centre of the circle, < OQ…
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1991
Using a scale of 2cm to 1 unit on the x- axis and 1cm to 1 unit on the y- axis, draw on the same axes the graphs of \(y = 3 + 2x - x^{2}; y = 2x - 3\) for \(-3 \leq x \leq 4\). Using your graph:(i) solve the equation \(…
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1991
A man bought 5 reams of duplicating paper, each of which are supposed to contain 480 sheets. The actual number of sheets in the packets were : 435, 420, 405, 415 and 440. (a) Calculate, correct to the nearest whole numb…
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1991
(a) Solve the equation, correct to two decimal places \(2x^{2} + 7x - 11 = 0\)(b) Using the substitution \(P = \frac{1}{x}; Q = \frac{1}{y}\), solve the simultaneous equations : \(\frac{2}{x} + \frac{1}{y} = 3 ; \frac{1…
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1991
ABCDE is a regular pentagon and a rectangle AXYE is drawn on the side AE such that the vertices X and Y lie on the sides BC and CD respectively. Calculate the size of (i) an interior angle of the pentagon ; (ii) < BX…
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1991
A man has 9 identical balls in a bag. Out of these, 3 are black, 2 are blue and the remaining are red.(a) If a ball is drawn at random, what is the probability that it is (i) not blue? (ii) not red?(b) If 2 balls are dr…
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1991
In a certain class, 22 pupils take one or more of Chemistry, Economics and Government. 12 take Economics (E), 8 take Government (G) and 7 take Chemistry (C). Nobody takes Economics and Chemistry and 4 pupils take Economi…
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1991
(a) Using logarithm table, evaluate \(\frac{\sqrt[3]{1.376}}{\sqrt[4]{0.007}}\) correct to three significant figure.(b) Without using Mathematical tables, find the value of \(\frac{\log 81}{\log \frac{1}{3}}\).
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1991
Simplify :(i) \(2\frac{2}{3} - (2\frac{1}{2} - 1\frac{4}{5})\)(ii) \(\frac{3.25 - 1.64}{2.47 - 2.01}\)
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