2006
Simplify: 11011\(_2\) - 1101\(_2\)
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2006 WAEC SSCE Mathematics Past Questions
2006
Evaluate (0.13)\(^3\)correct to three significant figures
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2006
(a) Two lines AB and CD intersect at x such that \(\stackrel\frown{CAX}\) is equal to \(\stackrel\frown{BDX}\). If |AX| = 6 cm, |XB| = 4 cm and |CX| = 3 cm, find |XD|.(b) The diagram shows the positions of three points…
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2006
(a) Copy and complete the table of the relation \(y = 2\sin x - \cos 2x\).x0°30°60°90°120°150°180°y0.5-1.0Using a scale of 2 cm to 30° on the x- axis and 2 cm to 0.5 unit on the y- axis, draw the graph of \(y = 2\sin x…
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2006
(a) The diagram shows a pyramid standing on a cuboid. The dimensions of the cuboid are 4m by 3m by 2m and the slant edge of the pyramid is 5m. Calculet the volume of the shape.(b) The 2nd, 3rd and 4th terms of an A.P ar…
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2006
The following table shows the distribution of test scores in a class.Scores1234578910No of pupils1153\(k^{2} + 1\)6234(a) If the mean score of the class is 6, find the : (i) value of k (ii) median score.(b) Draw a bar ch…
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2006
(a) Using a ruler and a pair of compasses only, (i) construct \(\Delta\) XYZ such that |XY| = 8 cm and < YXZ = < ZYX = 45°. (ii) locate a point P inside the triangle equidistant from XY and XZ and also equidistanc…
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2006
In the diagram, ABCDEO is two- thirds of a circle centre O. The radius AO is 7cm and /AB/ = /BC/ = /CD/ = /DE/. Calculate, correct to the nearest whole number, the area of the shaded portion. [Take \(\pi = \frac{22}{7}\…
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2006
(a)(i) If \(4x < 2 + 3x\) and \(x - 8 < 3x\), what range of values of x satisfies both inequalities? ; (ii) Represent your result in (i) on the number line.(b) A shop is sending out a bill for an amount less than…
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2006
(a) A sector of a circle of radius 8cm subtends an angle of 90° at the centre of the circle. If the sector is folded without overlap to form the curved surface of a cone, find the :(i) base radius ; (ii) height ; (iii)…
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2006
Two fair dice are tossed together once.(a) Draw a sample space for the possible outcomes ;(b) Find the probability of getting a total : (i) of 7 or 8 ; (ii) less than 4.
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2006
(a) In a class of 45 students, 32 offered Physics(P), 28 offered Government(G) and 12 did not offer any of the two subjects. (i) Draw the Venn diagram to represent the information ; (ii) How many students offered both su…
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2006
(a) Solve for x and y in the following equations :\(2x - y = \frac{9}{2}\)\(x + 4y = 0\)(b) In the diagram, TA is a tangent to the circle at A. If \(\stackrel\frown{BCA} = 40°\) and \(\stackrel\frown{DAT} = 52°\), find…
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2006
(a) A dealer sold a car to a man and made a profit of 15%. The man then sold it to a woman for N120,175.00 at a loss of 5%. How much did the dealer buy the car?(b) The diameter of the wheel of a car is 36cm. How many re…
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2006
(a) Simplify : \(\frac{4\frac{2}{9} - 1\frac{13}{15}}{2\frac{1}{5} + \frac{4}{7} \times 2\frac{1}{3}}\)(b) By rationalising the denominator, simplify : \(\frac{7\sqrt{5}}{\sqrt{7}}\), leaving your answer in surd form.
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