If \(M5_{ten} = 1001011_{two}\) find the value of M
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2002
Find the value of x in the diagram.
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2002
Find the value of x in 0.5x + 2.6 = 5x + 0.35
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2002
In the diagram above, ∠PQU=360o, ∠QRT = 29o, PQ||RT. Find ∠PQR.
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2002
The height of a night circular cone is 4cm. The radius of its base is 3cm. Find the curve surface area
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2002
A right pyramid is on a square base of side 4cm. The slanting side of the pyramid is \(2\sqrt{3}\). Calculate the volume of the pyramid
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2002
In the diagram O is the center of the circle. Reflex angle XOY = 210o and the length of the minor arc is 5.5m. Find, correct to the nearest meter, the length of the major arc.
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2002
Given is the graph of the relation \(y = ax^{2} + bx + c\) where a, b and c are constants. Use the graph to :(a) find the roots of the equation \(ax^{2} + bx + c = 0\);(b) determine the values of constants a, b and c in…
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2002
The following data gives the lengths, in cm, of 30 pieces of iron rods :45 55 65 60 61 68 59 54 64 76 50 68 72 68 80 67 70 62 79 67 64 63 71 59 64 53 57 74 55 57(a) Using class intervals of 45 - 49, 50 - 54, 55 - 59, ..…
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2002
In the diagram, /PQ/ = 8m, /QR/ = 13m, the bearing of Q from P is 050° and the bearing of R from Q is 130°.(a) Calculate, correct to 3 significant figures, (i) /PR/ ; (ii) the bearing of R from P.(b) Calculate the short…
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2002
Using ruler and a pair of compasses only, (a) construct, (i) triangle XYZ with |XY| = 8cm, < YXZ = 60° and < XYZ = 30° ; (ii) the perpendicular ZT to meet XY in T ; (iii) the locus \(l_{1}\) of points equidistant…
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2002
The diagram is a portion of a right circular solid cylinder of radius 7 cm and height 15 cm. The centre of the base of the cylinder is Q, while that of the top is B, where \(\stackrel\frown{ABC} = \stackrel\frown{PQR}…
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2002
(a) An open rectangular tank is made of a steel plate of area 1440\(m^{2}\). Its length is twice its width . If the depth of the tank is 4m less than its width, find its length.(b) A man saved N3,000 in a bank P, whose…
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2002
(a) The first term of an Arithmetic Progression(AP) is 3 and the common difference is 4. Find the sum of the first 28 terms.(b) Given that \(x = \frac{2m}{1 - m^{2}}\) and \(y = \frac{2m}{1 + m}\), express 2x - y in ter…
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2002
(a) Simplify : \(\frac{1}{2}\log_{10} 25 - 2\log_{10} 3 + \log_{10} 18\)(b) If \(123_{y} = 83_{10}\), obtain an equation in y, hence find the value of y.(c) Solve the equation \(\frac{9^{2x - 3}}{3^{x + 3}} = 1\)
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2002
The probabilities that Ade, Kujo and Fati will pass an examination are \(\frac{2}{3}, \frac{5}{8}\) and \(\frac{3}{4}\) respectively. Find the probability that (a) the three ;(b) none of them ;(c) Ade and Kujo only ; wi…
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2002
(a) Without using calculator or mathematical tables, evaluate \(\frac{3}{\sqrt{3}}(\frac{2}{\sqrt{3}} - \frac{\sqrt{12}}{6})\)(b) In the diagram, O is the centre of the circle. The side AB is produced to E, < ACB =…
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2002
(a) A manufacturer offers distributors a discount of \(20%\) on any article bought and a further discount of \(2\frac{1}{2}%\) for prompt payment.(i) if the marked price of an article is N25,000, find the total amount s…
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2002
The sets A = {1, 3, 5, 7, 9, 11}, B = {2, 3, 5, 7, 11, 15} and C = {3, 6, 9, 12, 15} are subsets of \(\varepsilon\) = {1, 2, 3, ..., 15}.(a) Draw a Venn diagram to illustrate the given information.(b) Use your diagram t…