2005
From a point P, R is 5km due west and 12km due south. Find the distance between P and R
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2005 WAEC SSCE Mathematics Past Questions
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2005
A man bought 220 mangoes at N5x. He sold each for 3x kobo and made a gain of N8. Find the value of x
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2005
Find the equation whose roots are 2 and \(-3\frac{1}{2}\)
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2005
Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)
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2005
Evaluate, correct to the nearest whole number \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div\frac{33}{2}\)
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2005
Simplify \(\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}\)
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2005
Correct 0.04945 to two significant figures
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2005
(a) Copy and complete the table. \(y = x^{2} - 2x - 2\) for \(-4 \leq x \leq 4\)x-4-3-2-101234y22-216(b) Using a scale of 2 cm to 1 unit on the x- axis and 2 cm to 5 units on the y- axis, draw the graph of \(y = x^{2} -…
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2005
(a) In the diagram, \(\Delta\) ABD is right-angled at B. |AB| = 3 cm, |AD| = 5 cm, \(\stackrel\frown{ACB}\) = 61° and \(\stackrel\frown{DAC}\) = x°. Calculate, correct to one decimal place, the value of x.(b) In the d…
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2005
The table shows the age distributions of the members of a club.Age (years)10-1415-1920-2425-2930-3435-39Frequency718251794(a) Calculate, correct to one decimal place, the mean age.(b) (i) Draw a histogram to illustrate…
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2005
The sketch shows a plot of land . (a) Using a scale of 1 cm to 10m, draw an accurate diagram of the plot ;(b) Construct : (i) The locus \(l_{1}\) of points equidistant from AC and BC ; (ii) the locus \(l_{2}\) of points…
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2005
(a) Find the smallest integer that satisfies the inequality \(x + 8 < 4x - 15\).(b) A sales girl is paid a monthly salary of N2,500 in addition to a commission of 5 kobo in the naira on all sales made by her during th…
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2005
(a) A plane flies due East from A(lat. 53°N, long. 25°E) to a point B(lat. 53°N, long. 85°E) at an average speed of 400 km/h. The plane then flies South from B to a point C 2000km away. Calculate, correct to the nearest…
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2005
(a) A regular polygon of n sides is such that each interior angle is 120° greater than the exterior angle. Find :(i) the value of n ; (ii) the sum of all the interior angles.(b) A boy walks 6km from a point P to a point…
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2005
(a) Without using mathematical table or calculator, evaluate : \(\sqrt{\frac{0.18 \times 12.5}{0.05 \times 0.2}}\).(b) Simplify : \(\frac{8 - 4\sqrt{18}}{\sqrt{50}}\).(c) x, y and z are related such that x varies direct…
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2005
(a) In the diagram, A, B, C and D are points on the circumference of a circle. XY is a tangent at A. Find : (i) < CAX ; (ii) < ABY.(b) If (m + 1) and (m - 3) are factors of \(m^{2} - km + c\), find the values of k…
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2005
(a) Two fair dice are thrown once. Find the probability of getting: (i) the same digit; (ii) a total score greater than 5.(b) Given that \(x = \cos 30^\circ\) and \(y = \sin 30^\circ\), evaluate without using a mathemati…
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2005
(a) Simplify : \(\frac{5}{8} of 2\frac{1}{2} - \frac{3}{4} \div \frac{3}{5}\).(b) A cone and a right pyramid have equal heights and volumes. If the area of the base of the pyramid is \(154 cm^{2}\), find the base radius…
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2005
(a) Evaluate : \(2 \div (\frac{64}{125})^{-\frac{2}{3}}\)(b) The lines \(y = 3x + 5\) and \(y = - 4x - 1\) intersect at a point k. Find the coordinates of k.
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2005
(a) Evaluate without using the mathematical table or calculator, \(\log_{10} \sqrt{30} - \log_{10} \sqrt{6} + \log_{10} \sqrt{2}\).(b) \(U = {1, 2, 3, ..., 10} ; A = {1, 2, 3, 4, 5} ; B = {2, 3, 5}\) and \(C = {6, 8, 10…
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