The graph given is for the relation y = 2x2 + x - 1. Find the minimum value of y.
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2014
The graph given is for the relation y = 2x2 + x - 1. What are the coordinates of the point S?
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2014
In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Calculate the value of y.
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2014
In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Find the value of x.
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2014
In the diagram, PQR is a straight line, (m + n) = 120o and (n + r) = 100o. Find (m + r).
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2014
In the diagram < QPT = < PTS = 90o, < PQR = 110 and < TSR = 20o. Find the size of the obtuse angle QRS.
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2014
In the diagram, the value of x + y = 220o. Find the value of n.
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2014
Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles
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2014
\(\begin{array}{c|c}\text{height} & 2 & 3 & 4 & 5 & 6 \\ \hline \text{frequency} & 2 & 4 & 5 & 3 & 1 \end{array}\)The table shows the distribution of the height of plants in a nurs…
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2014
(a) Two functions, f and g, are defined by \(f : x \to 2x^{2} - 1\) and \(g : x \to 3x + 2\) where x is a real number.(i) If \(f(x - 1) - 7 = 0\), find the values of x.(ii) Evaluate : \(\frac{f(-\frac{1}{2}) . g(3)}{f(4…
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2014
(a) Given that \(5 \cos (x + 8.5)° - 1 = 0, 0° \leq x \leq 90°\), calculate, correct to the nearest degree, the value of x.(b) The bearing of Q from P is 0150° and the bearing of P from R is 015°. If Q and R are 24km an…
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2014
Scores123456Frequency251311910The table shows the distribution of outcomes when a die is thrown 50 times. Calculate the : (a) Mean deviation of the distribution ; (b) probability that a score selected at random is at le…
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2014
(a) Solve : \((x - 2)(x - 3) = 12\).(b) In the diagram, M and N are the centres of two circles of equal radii 7cm. The circle intercept at P and Q. If < PMQ = < PNQ = 60°, calculate, correct to the nearest whole…
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2014
(a) In the Venn diagram, P, Qand R are subsets of the universal set U. If n(U) = 125, find : (i) the value of x ; (ii) n(\(P \cup Q \cap R'\)).(b) In the diagram, O is the centre of the circle. If WX is parallel to YZ…
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2014
(a) Copy and complete the following table for multiplication modulo 11.\(\otimes\)1591011591055991010Use the table to : (i) evaluate \((9 \otimes 5) \otimes (10 \otimes 10)\);(ii) find the truth set of :(1) \(10 \otimes…
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2014
(a) Copy and complete the table of values for the relation \(y = 2 \sin x + 1\)x0°30°60°90°120°150°180°210°240°270°y1.02.70.0-0.7(b) Using scales of 2 cm to 30° on the x- axis and 2 cm to 1 unit on the y- axis, draw the…
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2014
(a) If \(\frac{3}{2p - \frac{1}{2}} = \frac{\frac{1}{3}}{\frac{1}{4}p + 1}\), find p.(b) A television set was marked for sale at GH¢ 760.00 in order to make a profit of 20%. The television set was actually sold at a dis…
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2014
A building contractor tendered for two independent contracts, X and Y. The probabilities that he will win contract X is 0.5 and not win contract Y is 0.3, What is the probability that he will win :(a) both contracts ;(b…
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2014
(a) In the diagram, O is the centre of the circle radius r cm and < XOY = 90°.If the area of the shaded part is 504\(cm^{2}\), calculate the value of r. [Take \(\pi = \frac{22}{7}\)].(b) Two isosceles triangles PQR a…
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2014
(a) Solve the simultaneous equation : \(\frac{1}{x} + \frac{1}{y} = 5 ; \frac{1}{y} - \frac{1}{x} = 1\).(b) A man drives from Ibadan to Oyo, a distance of 48km in 45 minutes. If he drives at 72 km/h where the surface is…