The table below shows the number of eggs laid by the chickens in a man's farm in a year.No of eggs per yearNo of chickens45 - 491050 - 543655 - 596460 - 645265 - 692870 - 7410(a) Draw a cumulative frequency curve for th…
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1998
In the diagram, ASRTB represents a piece of string passing over a pulley of radius 10cm in a vertical plane. O is the centre of the pulley and AMB is a horizontal straight line touching the pulley at M. Angle SAB = 90°…
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1998
A surveyor standing at a point X sights a pole Y due east of him and a tower Z of a building on a bearing of 046°. After walking to a point W, a distance of 180m in the South- East direction, he observes the bearing of…
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1998
Using a ruler and a pair of compasses only, construct (a) triangle QRT with |QR| = 8cm, |RT| = 6cm and |QT| = 4.5cm.(b) a quadrilateral QRSP which has a common base QR with \(\Delta\)QRT such that QTP is a straight line…
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1998
(a) Copy and complete the table of values for the relation \(y = 5 - 7x - 6x^{2}\) for \(-3 \leq x \leq 2\).x-3-2-1-0.5012y-2865(b) Using a scale of 2cm to 1 unit on the x- axis and 2cm to 5 units on the y- axis, draw t…
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1998
(a) A radio which a dealer bought for N6,000.00 and marked to give a profit of 30% was reduced in a sales by 10%. Find : (i) the final sales price ; (ii) the percentage profit.(b) Solve the equation : \(2^{(2x + 1)} - 9…
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1998
The third term of a Geometric Progression (G.P) is 360 and the sixth term is 1215. Find the (a) common ratio;(b) first term ;(c) sum of the first four terms.
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1998
(a) A number is selected at random from each of the sets {2, 3, 4} and {1, 3, 5}. What is the probability that the sum of the two numbers will be less than 7 but greater than 3?(b) In the diagram, ABCD is a circle. DAE,…
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1998
The area of a rectangular floor is 13.5m\(^{2}\). One side is 1.5m longer than the other.(a) Calculate the dimensions of the floor ;(b) If it costs N250.00 per square metre to carpet the floor and only N2,000.00 is avai…
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1998
(a) The value of the expression \(2Ax - Kx^{2}\) is 7 when x = 1 and 4 when x = 2. Find the values of the constants A and K.(b) Solve the equation \(x^{2} - 3x - 1 = 0\), giving your answers correct to 1 decimal place.
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1998
(a) Given that \(\log_{10} 2 = 0.3010, \log_{10} 7 = 0.8451\) and \(\log_{10} 5 = 0.6990\), evaluate without using logarithm tables:(i) \(\log_{10} 35\); (ii) \(\log_{10} 2.8\).(b) Given that \(N^{0.8942} = 2.8\), use y…
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1998
A, B and C are subsets of the universal set U such that : \(U = {0, 1, 2, 3,..., 12}; A = {x : 0 \leq x \leq 7}; B = {4, 6, 8, 10, 12}; C = {1 < y < 8}\), where y is a prime number.(a) Draw a venn diagram to illus…