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MID TERM 1 2018 EXAMINATIONMATHEMATICS FORM 3Name ………………………………………………………………………………………………ADM…….Evaluate -12 ÷-3×4-(-20)-6 ×6÷3+(-6)(3mks)Simplify (x+2y)2 –(x-2y)2 (3mks)Use reciprocal and square tables to evaluate, to 4 significant figures, the expression (3mks) 124.56+4.3462The average rate of depreciation in value of a water pump is 9% per annum. After three complete years its value was sh150,700.Find its value at the start of the three year period. (4mks)Chords XY and PQ of a circle intersect at a point M inside the circle.Given that MX=8cm,XY=14cm and MP=4cm, Calculate the length of MQ. (3mks)Given that sinα=15 where α is an acute angle. Find, without using mathematical table or calculators tan(90-2) and cos α in the form of ab, where a &b are rational numbers. (4mks)Given that log4=0.6021 and log6=0.7782, without using mathematical tables or a calculator evaluate log24. (3mks)The equation of a line L1 is 2y-5x-8=0 and line L2 passes through the point (-5,0) and (5,-4).Without drawing the lines L1 & L2 show that the two lines are perpendicular to each other. (3mks)Simplify 35-2+15 leaving your answer in the form a+bc, where a,b&c are rational numbers. (4mks)The figure below represent a circle of diameter 28cm with a sector subtending an angle of 750 at the centre. Find the area of the shaded segment to 4 significant figures. (5mks)The table below shows income tax rates.Monthly taxable pay K?Rate of tax ksh. In 1 k?1-4352436-8703871-130541306-17405Excess over 17406A company employee earn a monthly basic salary of ksh 30,000 and is also given taxable allowances amounting to ksh 10.480.Calculate the total income tax (5mks)The employee is entitled to a personal tax relief of ksh 800 per month. Determine the net tax. (1mks)If the employee received a 50% increase in his total income, calculate the corresponding percentage increase on the income tax. (4mks)The cost of 5 skirts and 3 blouses is sh 1750. Mueni bought three of the skirts and one of the blouses for sh 850. Find the cost of each item. (5mks)In the figure below AOC is a Diameter of the circle centre O ; AB=BC &<ACB=250,EBF is a tangent to the circle at B. G is a point on the minor arc CD.Calculate the size of <BAD (3mks)The obtuse <BOD (3mkS)<BGD (1mks)Show that <ABE = <CBF . Give reasons. (2mks) ................
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