2015
If \(\frac{27^x \times 3^{1 - x}}{9^{2x}} = 1\), find the value of x.
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2015 WAEC SSCE Mathematics Past Questions
2015
The sum 110112, 11112 and 10m10n02. Find the value of m and n.
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2015
If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x
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2015
The table shows the marks scored by some candidates in an examination.Marks (%)0-910-1920-2930-3940-4950-5960-6970-7980-8990-99Frequency711172029343025216(a) Construct a cumulative frequency table for the distribution a…
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2015
A water reservoir in the form of a cone mounted on a hemisphere is built such that the plane face of the hemisphere fits exactly to the base of the cone and the height of the cone is 6 times thr radius of its base.(a) I…
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2015
(a) Make m the subject of the relations \(h = \frac{mt}{d(m + p)}\).(b) In the diagram, WY and WZ are straight lines, O is the centre of circle WXM and < XWM = 48°. Calculate the value of < WYZ.(c) An operation \(…
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2015
(a) Without using Mathematical tables or calculators, simplify : \(\frac{2\tan 60° + \cos 30°}{\sin 60°}\)(b) From an aeroplane in the air and at a horizontal distance of 1050m, the angles of depression of the top and b…
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2015
(a) The first term of an Arithmetic Progression (AP) is 8, the ratio of the 7th term to the 9th term is 5 : 8, find the common difference of the AP.(b) A trader bought 30 baskets of pawpaw and 100 baskets of mangoes for…
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2015
(a) Using ruler and a pair of compasses only, construct a :(i) Trapezium WXYZ such that |WX| = 8 cm, |XY| = 5.5 cm, |YZ| = 8.3 cm, < WXY = 60° and WX // ZY;(ii) rectangle PQYZ where P and Q are on WX (b) Measure : (i…
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2015
The table is for the relation \(y = px^{2} - 5x + q\).x-3-2-1012345y216-12013(a)(i) Use the table to find the values of p and q.(ii) Copy and complete the table.(b) Using scales of 2cm to 1 unit on the x- axis and 2 cm…
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2015
(a) (i) Illustrate the following statements in a Venn diagram : All good Literature students in a school are in the General Arts class. (ii) Use ths diagram to determine whether or not the following are valid conclusion…
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2015
A trapezium PQRS is such that PQ // RS and the perpendicular P to RS is 40 cm. If |PQ| = 20 cm, |SP| = 50 cm and |SR| = 60 cm. Calculate, correct to 2 significant figures, the(a) Area of the trapezium ; (b) < QRS.
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2015
(a) By how much is the sum of \(3\frac{2}{3}\) and \(2\frac{1}{5}\) less than 7?(b) The height, h m, of a dock above sea level is given by \(h = 6 + 4\cos (15p)°, 0 < p < 6\). Find :(i) the value of h when p = 4 ;…
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2015
(a) The ratio of the interior angle to the exterior angle of a regular polygon is 5 : 2, Find the number of sides of the polygon.(b) The diagram shows a circle PQRS with centre O, < UQR = 68°, < TPS = 74° and <…
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2015
(a) Solve the inequality : \(4 + \frac{3}{4}(x + 2) \leq \frac{3}{8}x + 1\)(b) The diagram shows a rectangle PQRS from which a square of side x cm has been cut. If the area of the shaded portion is 484\(cm^{2}\), find t…
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2015
(a) Without using Mathematical tables or calculators, simplify:\(3\frac{4}{9} \div (5\frac{1}{3} - 2\frac{3}{4}) + 5\frac{9}{10}\)(b) A number is selected at random from each of the sets {2, 3, 4} and {1, 3, 5}. Find th…
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