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NAME……………………………………NO…………………CLASS…………TERM1 MID TERM EXAM 2017MATHEMATICS FORM 3INSTRUCTIONSAnswer all questions.Marks may be given for correct working even if the answer is wrongUse logarithm correct to 4 d.p. to evaluate(4mks)31.794 x 0.0381.243Find the reciprocal of 0.036.(2mks)A triangle has vertices A(2,5) B(1,-2) and C( -5,1)Determine the equation of the line BC.(3mks)Solve the equation2logx – log(x-2) = 2log3(3mks)A triangle whose Area is 12cm2 is given an enlargement with linear scale factor 3.Find the area of the image(2mks)6. The table below show the number of goal scored by a football team in 20 matches FindThe mode 1mark The mean number of goals 2marksGoals scored012345No of matches564311Babu’s clock loses is 15 seconds every hour. He sets the correct time on the clock at 0700h on Monday. Determine the time shown on the clock when the correct time was 1900h on Wednesday the same week.(3mks)The interior angles of an Octagon are 2x, 1/2x, (x+40), 1100, 135, 1600, 2x-10 and 1850. Find the value of x.(3mks)A straight line passes through points (-3,0) and (0,6) finda) The equation of the line in the form y=mx+c(2mks)b) The gradient of a line perpendicular of the line in (a)above.(1m9 (i) if ∠BAP =300, find the angles of?POB, where O is the centre,What kind of triangle is it.BAPO 2marks (ii)if∠OBP=50,calculate ∠OPA 2marks∠PAB =a and ∠PBA=3(50-a) calculate a4marks10 Given the inequalitiesx-5≤ 3x-8 <2x-3a) Solve the inequalities(2mks)b) Represent the solution on a number line.(1mk)11. In the diagram below OA=a OB=b C is a point on AB such that AC:CB=1:2BFind in term of a and bCAO(i)AB 2marks(ii) OC 2marks(iii)AC 2marks12.(a) FactorizeX2+6X+92marks (b) Use completing square method to solve X2+5X+1=0 3marksA(2, 8)B(10 ,2)EDC13.In the figure below Ais the point( 2,8)and B the point (10,2) C ,D ,and Daremidpoints of OA, OB ,and AB respectively. Find the coordinate of C 3marksFind the length of vectors CD 3 marksa) Complete the table below for the function y = x2 + 3x + 1 ( 2marks)X-5-4-3-2-1012X23X1Yb) On the grid provided, draw the graph of the y = x2 + 3x+1 using the scale 1cm represents 1 unit in the x=axis and 1cm represents 2 units in the y-axis.(3mks)c) Use the graph to solvei) x2 + 3x + 1 = 10(1mk) ................
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