2008
Evaluate \(\frac{(3.2)^2 - (4.8)^2}{3.2 + 4.8}\)
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2008 WAEC SSCE Mathematics Past Questions
2008
If x% of 240 equals 12, find x
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2008
(a) If 3, x, y, 18 are the terms of an Arithmetic Progression (A.P), find the values of x and y.(b)(i) The sum of the second and third terms of a grometric progression is six times the fourth term. Find the two possible…
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2008
(a) Copy and complete the table of values for \(y = 3\sin x + 2\cos x\) for \(0° \leq x \leq 360°\).x0°60°120°180°240°300°360°y2.002.00(b) Using a scale of 2 cm to 60° on x- axis and 2 cm to 1 unit on the y- axis, draw…
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2008
(a) In the diagram, AB // CD and BC // FE. \(\stackrel\frown{CDE} = 75°\) and \(\stackrel\frown{DEF} = 26°\). Find the angles marked x and y.(b) The diagram shows a circle ABCD with centre O and radius 7 cm. The reflex…
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2008
(a) Using ruler and a pair of compasses only, construct :(i) a quadrilateral PQRS such that /PQ/ = 7 cm, < QPS = 60°, /PS/ = 6.5 cm, < PQR = 135° and /QS/ = /QR/ ;(ii) locus, \(l_{1}\) of points equidistant from P…
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2008
(a) The triangle ABC has sides AB = 17m, BC = 12m and AC = 10m. Calculate the :(i) largest angle of the triangle ; (ii) area of the triangle.(b) From a point T on a horizontal ground, the angle of elevation of the top R…
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2008
The ages, in years, of 50 teachers in a school are given below :21 37 49 27 49 42 26 33 46 40 50 29 23 24 29 31 36 22 27 38 30 26 42 39 34 23 21 32 41 46 46 31 33 29 28 43 47 40 34 44 26 38 34 49 45 27 25 33 39 40(a) Fo…
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2008
(a) Solve, correct to two decimal places, the equation \(4x^{2} = 11x + 21\).(b) A man invests 1500 for two years at compound interest. After one year, his money amounts to 1560. Find the :(i) rate of interest ; (ii) in…
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2008
(a) If \(2^{x + y} = 16\) and \(4^{x - y} = \frac{1}{32}\), find the value of x and y.(b) P, Q and R are related in such a way that \(P \propto \frac{Q^{2}}{R}\). When P = 36, Q = 3 and R = 4. Calculate Q when P = 200 a…
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2008
(a) A rectangular field is l metres long and b metres wide. Its perimeter is 280 metres. If the length is two and a half times the breadth, find the values of l and b.(b) The base of a pyramid is a 4.5 metres rectangle.…
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2008
(a) A pentagon is such that one of its exterior sides is 60°. Two others are (90 - m)° each while the remaining angles are (30 + 2m)° each. Find the value of m.(b)In the diagram, PQR is a straight line, \(\overline{QR} =…
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2008
The table below shows how a man spends his income in a month.ItemsAmount SpentFoodN4500House RentN3000ProvisionsN2500ElectricityN2000TransportationN5000OthersN3000(a) Represent the information on a pie chart.(b) What pe…
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2008
(a) Solve the inequality : \(\frac{2}{5}(x - 2) - \frac{1}{6}(x + 5) \leq 0\).(b) Given that P = \(\frac{x^{2} - y^{2}}{x^{2} + xy}\),(i) express P in its simplest form ; (ii) find the value of P if x = -4 and y = -6.
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2008
(a) Without using calculator or tables, find the value of \(\log 3.6\) given that \(\log 2 = 0.3010, \log 3 = 0.4771\) and \(\log 5 = 0.6990\).(b) If all numbers in the equation \(\frac{y}{y + 101} = \frac{11}{10010}\)…
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