If the 2nd and 5th terms of a G.P are 6 and 48 respectively, find the sum of the first for term
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1994
(a) Two points X(32°N, 47°W) and Y(32°N, 25°E) are on the earth's surface. If it takes an aeroplane 11 hours to fly from X to Y along the parallel of latitude, calculate its speed, correct to the nearest kilometre per ho…
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1994
(a) The fourth term of an A.P is 37 and 6th term is 12 more than the fourth term . Find the first and seventh terms.(b) If \(P = {1, 2, 3, 4}\) and \(Q = {3, 5, 6}\), find (i) \(P \cap Q\) ; (ii) \(P \cup Q\) ; (iii) \(…
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1994
(a) Copy and complete the following table of values for \(y = 2x^{2} - 9x - 1\).x-10123456y-1-8-1117(b) Using a scale of 2cm to represent 1 unit on the x- axis and 2cm to represent 5 units on the y- axis, draw the graph…
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1994
The table below gives the ages, to the nearest 5 years of 50 people.Age in years1015202530No of people8191076(a) Construct a cumulative frequency table for the distribution.(b) Draw a cumulative frequency curve (Ogive)(…
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1994
(a) Using a ruler and a pair of compasses only, construct (i) a triangle XYZ in which /YZ/ = 8cm, < XYZ = 60° and < XZY = 75°. Measure /XY/; (ii) the locus \(l_{1}\) of points equidistant from Y and Z ; (iii) the…
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1994
A bag contains 12 white balls and 8 black balls, another contains 10 white balls and 15 black balls. If two balls are drawn, without replacement from each bag, find the probability that :(a) all four balls are black ;(b…
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1994
(a) If \(\log_{10} (3x - 1) - \log_{10} 2 = 3\), find the value of x.(b) Use logarithm tables to evaluate \(\sqrt{\frac{0.897 \times 3.536}{0.00249}}\), correct to 3 significant figures.
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1994
The table below gives the frequency distribution of the marks obtained by some students in a scholarship examination.Scores (x)15253545556575Freq (f)1412241883(a) Calculate, correct to 3 significant figures, the mean ma…
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1994
(a) Divide \(11111111_{two}\) by \(101_{two}\)(b) A sector of radius 6 cm has an angle of 105° at the centre. Calculate its:(i) perimeter ; (ii) area . [Take \(\pi = \frac{22}{7}\)]
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1994
(a) A tower and a building stand on the same horizontal level. From the point P at the bottom of the building, the angle of elevation of the top, T of the tower is 65°. From the top Q of the building, the angle of eleva…
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1994
(a) Evaluate, without using mathematical tables, \(17.57^{2} - 12.43^{2}\).(b) Prove that angles in the same segment of a circle are equal.