2013
A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord
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2013 WAEC SSCE Mathematics Past Questions
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2013
Given that \(p^{\frac{1}{3}}\) \(= \frac{3\sqrt{q}}{r}\), make \(q\) the subject of the equation
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2013
If \(x = 64\) and \(y = 27,\) evaluate: \(\frac{x^{\frac{1}{2}} - y^{\frac{1}{3}}}{y - x^{\frac{2}{3}}}\)
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2013
Simplify: \(\frac{x^2 - y^2}{(x + y)^2} + \frac{(x - y)^2}{(3x + 3y)}\)
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2013
Four oranges sell for ₦x and three mangoes sell for ₦y. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y?
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2013
If \(\sqrt{50} - K\sqrt{8} = \frac{2}{\sqrt{2}}\), find \(K\)
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2013
If \(U_n = n(n^2 + 1),\) evaluate \(U_5 - U_4\)
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2013
Simplify \(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}\)
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2013
In what number base is the addition 465 + 24 + 225 = 1050?
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2013
When one end of a ladder, LM, is placed against a vertical wall at a point 5 metres above the ground, the ladder makes an angle of 37° with the horizontal ground.(a) Represent this information in a diagram ;(b) Calculat…
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2013
An aeroplane flies due North from a town T on the equator at a speed of 950km per hour for 4 hours to another town P. It then flies eastwards to town Q on longitude 65°E. If the longitude of T is 15°E,(a) represent this…
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2013
The frequency distribution table shows the marks obtained by 100 students in a Mathematics test.Marks (%)1-1011-2021-3031-4041-5051-6061-7071-8081-9091-100Frequency23513193113941(a) Draw the cumulative curve for the dis…
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2013
(a)A segment of a circle is cut off from a rectangular board as shown in the diagram. If the radius of the circle is \(1\frac{1}{2}\) times the length of the chord; calculate, correct to 2 decimal places, the perimeter o…
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2013
(a) Using ruler and a pair of compasses only, construct : (i) a trapezium WXYZ such that |WX| = 10.2 cm, |XY| = 5.6 cm, |YZ| = 5.8 cm, < WXY = 60° and WX is parallel to YZ (ii) a perpendicular from Z to meet \(\overl…
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2013
(a) If (3 - x), 6, (7 - 5x) are consecutive terms of a geometric progression (GP) with constant ratio r > 0, find the :(i) values of x ; (ii) constant ratio.(b) In the diagram, |AB| = 3 cm, |BC| = 4 cm, |CD| = 6 cm a…
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2013
(a) Copy and complete the table of values for the relation \(y = 3x^{2} - 5x - 7\).x-3-2-101234y35-7-95(b) Using scales 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 = 3x^{2}…
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2013
(a) Two positive whole numbers p and q are such that p is greater than q and their sum is equal to three times their difference;(i) Express p in terms of q ; (ii) Hence, evaluate \(\frac{p^{2} + q^{2}}{pq}\).(b) A man s…
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2013
A boy 1.2m tall, stands 6m away from the foot of a vertical lamp pole 4.2m long. If the lamp is at the tip of the pole,(a) represent this information in a diagram ;(b) calculate the (i) length of the shadow of the boy c…
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2013
The area of a circle is \(154cm^{2}\). It is divided into three sectors such that two of the sectors are equal in size and the third sector is three times the size of the other two put together. Calculate the perimeter…
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2013
(a) The present ages of a father and his son are in the ratio 10 : 3. If the son is 15 years old now, in how many years will the ratio of their ages be 2 : 1?(b) The arithmetic mean of x, y and z is 6 while that of x, y…
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