1992
Let U = (1, 2, 3, 4), P = (2, 3) and Q = (2, 4). What is (P∩Q)'?
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1992 WAEC SSCE Mathematics Past Questions
1992
The table below shows the weekly profit in naira from a mini-market.Weekly profit (N)1-1011-2021-3031-4041-5051-60Freq661211105(a) Draw the cumulative frequency curve of the data;(b) From your graph, estimate the : (i)…
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1992
Three towns P, Q, and R are such that the distance between P and Q is 50km and the distance between P and R is 90km. If the bearing of Q from P is 075° and the bearing of R from P is 310°, find the(a) distance between Q…
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1992
(a) The distribution of junior workers in an institution is as follows: Clerks - 78, Drivers - 36, Typists - 44, Messengers - 52, Others - 30. Represent the above information by a pie chart.(b) The table below shows the…
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1992
(a) Copy and complete the following table for the relation \(y = \frac{5}{2} + x - 4x^{2}\)x-2.0-1.5-1.0-0.500.511.52.0y-15.5 12.5 (b) Using a scale of 2cm to 1 unit on the x- axis and 2cm to 5 units on the y- axis,…
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1992
(a) Calculate the area of the shaded segment of the circle shown in the diagram [Take \(\pi = \frac{22}{7}\)](b) A tin has radius 3cm and height 6cm. Find the (i) total surface area of the tin ; (ii) volume, in litres,…
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1992
(a) Using a ruler and a pair of compasses only, construct: (i) a triangle ABC such that |AB| = 5cm, |AC| = 7.5cm and < CAB = 120°; (ii) the locus \(l_{1}\) of points equidistant from A and B; (iii) the locus \(l_{2}\…
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1992
(a) If \(17x = 375^{2} - 356^{2}\), find the exact value of x.(b) If \(4^{x} = 2^{\frac{1}{2}} \times 8\), find x.(c) The sum of the first 9 terms of an A.P is 72 and the sum of the next 4 terms is 71, find the A.P.
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1992
(a) In a game, a fair die is rolled once and two unbiased coins are tossed at once. What is the probability of obtaining 3 and a tail?(b) A box contains 10 marbles, 7 of which are black and 3 are red. Two marbles are dr…
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1992
(a) The sides PQ and PR of \(\Delta\) PQR are produced to T and S respectively, such that TQR = 131° and < QRS = 98°. Find < QPR.(b) The circumference of a circular track is 400m. Find its radius, correct to the n…
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1992
(a) The angle of a sector of a circle radius 7cm is 108°. Calculate the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)](b) A boat is on the same horizontal level as the foot of a cliff, and the angle of depressio…
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1992
(a) Solve the following pair of simultaneous equations: \(2x + 5y = 6\frac{1}{2} ; 5x - 2y = 9\)(b) If \(\log_{10} (2x + 1) - \log_{10} (3x - 2) = 1\), find x.
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1992
(a) If \(9^{2x - 1} = \frac{81^{x - 2}}{3^{x}}\), find x.(b) Without using Mathematical Tables, evaluate: \(\sqrt{\frac{0.81 \times 10^{-5}}{2.25 \times 10^{7}}}\)
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