The graph above is that of a quadratic function y = 2x2 - x - 6.The roots of the equation are
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1989
Evaluate 0.009 / 0.012, leaving your answer in standard form
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1989
Factorize 35 - 2b - b2
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1989
Evaluate, using logarithm tables 5.34 x 67.4/2.7
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1989
In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR.
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1989
IN the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. |QR| = 6cm and the area of triangle QST is 52cm2. Find the area of ΔQPT.
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1989
If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms?
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1989
If 3loga + 5loga - 6loga = log64, what is a?
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1989
(a) Derive the smallest equation whose coefficients are integers and which has roots of \(\frac{1}{2}\) and -7. (b) Three years ago, a father was four times as old as his daughter is now. The product of their present ag…
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1989
(a) Triangle PQR is right-angled at Q. PQ = 3a cm and QR = 4a cm. Determine PR in terms of a. (b) Ayo travels a distance of 24km from X on a bearing of 060° to Y. He then travels a distance of 18km to a point Z and Z is…
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1989
(a) A pair of fair dice each numbered 1 to 6 is tossed. Find the probability of getting a sum of at least 9.(b) If the probability that a civil servant owns a car is \(\frac{1}{6}\), find the probability that:(i) two ci…
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1989
(a) In an A.P, the difference between the 8th and 4th terms is 20 and the 8th term is \(1\frac{1}{2}\) times the 4th term. What is the:(i) common difference ; (ii) first term of the sequence?(b) The value of a machine d…
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1989
(a) (i) Prove that the angle which an arc of a circle subtends at the centre is twice that which it subtends at any point on the remaining part of the circumference.(ii) In the diagram above, O is the centre of the circ…
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1989
When a stone is thrown vertically upwards, its distance d metres after t seconds is given by the formula \(d = 60t - 10t^{2}\). Draw the graph of \(d = 60t - 10t^{2}\) for values of t from 1 to 5 seconds using 2cm to 1…
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1989
(a) In the diagram, O is the centre of the circle radius 3.2cm. If < PRQ = 42°, calculate, correct to two decimal places, the area of the:(i) minor sector POQ ; (ii) shaded part.(b) If the sector POQ in (a) is used t…
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1989
(a) If \(\cos \alpha = 0.6717\), use mathematical tables to find (i) \(\alpha\) ; (ii) \(\sin \alpha\)(b) The angle of depression of a point P on the ground, from the top T of a building is 23.6°. If the distance of P f…
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1989
Using a ruler and a pair of compasses only, construct a triangle ABC, given that |AB| = 8.4cm, |BC| = 6.5cm and < ABC = 30°. Construct the locus: (a) \(l_{1}\) of points equidistant from AB and BC, and within the ang…
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1989
The diagram shows a wooden structure in the form of a cone, mounted on a hemispherical base. The vertical height of the cone is 24cm and the base height 7cm. Calculate, correct to three significant figures, the surface…
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1989
The table shows the weights, to the nearest kilogram, of twelve students in a Further Mathematics classWeight in kg5557596163No of students21243(a) Draw a bar chart to illustrate the above information;(b) What is (i) th…
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1989
(a) Without using Mathematical tables, find x, given that \(6 \log (x + 4) = \log 64\)(b) If \(U = {1, 2, 3,4, 5, 6, 7, 8, 9, 10}, X = {1, 2, 4, 6, 7, 8, 9}, Y = {1, 2, 3, 4, 7, 9}\) and \(Z = {2, 3, 4, 7, 9}\). What is…