The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?
(a) Find the equation of a straight line which passes through the point (2, -3) and is parallel to the line \(2x + y = 6\).(b) The operation \(\Delta\) is defined on the set T = {2, 3, 5, 7} by \(x \Delta y = (x + y + x…
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2016
(a) Copy and complete the table of values, correct to one decimal place, for the relation \(y = 3\sin x + 2\cos x\) for \(0° \leq x \leq 360°\).x0°30°60°90°120°150°180°210°240°270°300°330°360°y3.01.6-2.0-3.6-3.02.0(b) U…
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2016
(a) If \(\frac{3p + 4q}{3p - 4q} = 2\), find \(p : q\).(b) The diagram shows the cross section of a bridge with a semi-circular hollow in the middle. If the perimeter of the cross section is 34 cm, calculate the :(i) le…
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2016
Using ruler and a pair of compasses only, (a) construct : (i) \(\Delta\)XYZ such that |XY| = 10cm, < XYZ = 30° and < YXZ = 45°.(ii) locus, \(l_{1}\), of points equidistant from Y and Z.(iii) locus, \(l_{2}\), of p…
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2016
The weight (in kg) of 50 contestants at a competition is as follows:65 66 67 66 64 66 65 63 65 68 64 62 66 64 67 65 64 66 65 67 65 67 66 64 65 64 66 65 64 65 66 65 64 65 63 63 67 65 63 64 66 64 68 65 63 65 64 67 66 64.(…
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2016
(a) In the diagram, < KLM = x, < LMK = y, < KJH = r and < KGF = 110°. If 2x = r = y, find the value of x.(b) Ten boys and twelve girls collected donations for a project. The total amount collected by the boy…
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2016
(a) Using the method of completing the square, solve, correct to 2 decimal places, \(\frac{x - 2}{4} = \frac{x + 2}{2x}\).(b) In the diagram, PQRST is a circle with centre O. If PS is a diameter, RS//QT, and < QTS =…
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2016
(a) Find the sum of the Arithmetic Progression (AP) 1, 3, 5,..., 101.(b) Out of the 95 travellers interviewed, 7 travelled by bus and train only, 3 by train and car only and 8 travelled by all 3 means of transport. The…
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2016
(a) In the diagram, PQST is a parallelogram, PR is a straight line, |TS| = 8cm, |SM| = 6cm and area of triangle PSR = \(36 cm^{2}\). Find the value of |QR|.(b) A tree and a flagpole are on the same horizontal ground. A…
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2016
Scores123456Frequency2530x284032The table shows the outcome when a die is thrown a number of times. If the probability of obtaining a 3 is 0.225;(a) How many times was the die thrown?(b) Calculate the probability that a…
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2016
(a) In the diagram, < RTS = 28°, < VRM = 46°, MQ is a tangent to the circle VRSTU at the point R. Find < VUS.(b) A cylinder tin, 7cm high, is closed at one end. If its total surface area is 462\(cm^{2}\), calcu…
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2016
(a) Solve : \(7(x + 4) - \frac{2}{3}(x - 6) \leq 2[x - 3(x + 5)]\)(b) A transport company has a total of 20 vehicles made up of tricycle and taxicabs. Each tricycle carries 2 passengers while each taxicab carries four p…
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2016
(a) Without using Mathematical tables or calculators, evaluate \(\frac{0.09 \times 1.21}{3.3 \times 0.00025}\), leaving the answer in standard form (Scientific Notation).(b) A principal of GH¢5,600 was deposited for 3 y…