A car uses one litre of petrol for every 14km. If one of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?
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2010
Factorize: x + y - ax = ay
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2010
Simplify 0.000215 x 0.000028 and express your answer in standard form
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2010
If 2 logx (3\(\frac{3}{8}\)) = 6, find the value of x
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2010
(a) The third term of a Geometric Progression (G.P) is 24 and its seventh term is \(4\frac{20}{27}\). Find its first term.(b) Given that y varies directly as x and inversely as the square of z. If y = 4, when x = 3 and…
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2010
The frequency distribution of the weight of 100 participants in a high jump competition is as shown below :Weight (kg)20 - 2930 - 3940 - 4950 - 5960 - 6970 - 79Number of Participants10182225169(a) Construct the cumulati…
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2010
(a) In the diagram, < PTQ = < PSR = 90°, /PQ/ = 10 cm, /PS/ = 14.4 cm and /TQ/ = 6 cm. Calculate the area of the quadrilateral QRST.(b) Two opposite sides of a square are each decreased by 10% while the other two…
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2010
(a) Copy and complete the table of values for the relation \(y = -x^{2} + x + 2; -3 \leq x \leq 3\).x-3-2-10123y-42-4(b) Using scales of 2 cm to 1 unit on the x- axis and 2 cm to 2 units on the y- axis, draw a graph of…
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2010
In the diagram, /AB/ = 8 km, /BC/ = 13 km, the bearing of A from B is 310° and the bearing of B from C is 230°. Calculate, correct to 3 significant figures,(a) the distance AC ;(b) the bearing of C from A ;(c) how far…
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2010
Using ruler and a pair of compasses only, (a) construct (i) a quadrilateral PQRS with /PS/ = 6 cm, < RSP = 9 cm, /QR/ = 8.4 cm and /PQ/ = 5.4 cm; (ii) the bisectors of < RSP and < SPQ to meet at X ; (iii) the p…
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2010
(a) Madam Kwakyewaa imported a quantity of frozen fish costing GH¢ 400.00. The goods attracted an import duty of 15% of its cost. She also paid a sales tax of 10% of the total cost of the goods including the import duty…
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2010
(a) The scale of a map is 1 : 20,000. Calculate the area, in square centimetres, on the map of a forest reserve which covers 85\(km^{2}\).(b) A rectangular playing field is 18m wide. It is surrounded by a path 6m wide s…
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2010
Two fair die are thrown. M is the event described by "The sum of the scores is 10" and N is the event described by "The difference between the scores is 3".(a) Write out the elements of M and N.(b) Find the probability…
(a) In the diagram, < PQR = 125°, < QRS = r, < RST = 80° and < STU = 44°. Calculate the value of r.(b) In the diagram TS is a tangent to the circle at A. AB // CE, < AEC = 5x°, < ADB = 60° and < TA…
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2010
(a) The angle of depression of a boat from the mid-point of a vertical cliff is 35°. If the boat is 120m from the foot of the cliff, calculate the height of the cliff.(b) Towns P and Q are x km apart. Two motorists set…
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2010
A = {2, 4, 6, 8}, B = {2, 3, 7, 9} and C = {x : 3 < x < 9} are subsets of the universal set U = {2, 3, 4, 5, 6, 7, 8, 9}. Find (a) \(A \cap (B' \cap C')\) ;(b) \((A \cup B) \cap (B \cup C)\).