13 The table shows income tax rates Monthly taxable pay K Rate of tax ksh K 1

13 the table shows income tax rates monthly taxable

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13. The table shows income tax rates: Monthly taxable pay K£ Rate of tax ksh K£ 1 – 435 2 436 – 970 3 971 – 1505 4 1506 – 2040 5 Excess over 2040 6 Halima earns a monthly basic salary of ksh. 30 000. she is housed by the employer and is also given a taxable allowances amounting to kshs. 5980. a) Calculate the taxable income in K£ per month. b) Calculate her total monthly tax in ksh. c) If she’s entitled to personal tax relief of ksh.800 per month, determine the net tax. d) If she pays NHIF of ksh. 320 and NSSF of khs. 240 per month, find her net monthly income 14. Omolo bought a new car for ksh. 800 000. After 5 years, he sold it through a second hand car dealer. The dealer changed a commission of 4% for the sale of the car. If Omolo received Ksh. 480 000. Calculate the annual rate of depreciation of the car as a percentage. CIRCLES CHORDS AND TANGENTS: 15. Given that a chord in a circle of radius 7cm divides the circle into two arch’s where the minor arc is 11cm. Calculate the length of the chord correct to 3 d. places. (π= 22 / 7 ) 16. The circle has a radius of 3.5cm. Chord AB is 4cm. Calculate the area of the minor sector OAB. Take π = 22 / 7 2
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17. O is the center of the circle shown below: whose radius is 4cm. AB is a chord of length 6cm. Calculate the shaded area. 18. In the following figure PQ = 8cm, PX = 6cm, AB = 7cm. Calculate the ratio in which x divides AB 19. The line ABP in figure below is a secant to the circle, PT is a tangent to the circle, AB=5cm, AP+15cm. Calculate: a) BP b) The length TP of the tangent correct to 3 s.f. 20. XY and RS are parallel chords on opposite sides of the centre of a circle of radius 13cm, if XY +=24cm and RS =20cm. Find the distance between the chords. N/B All questions to be answered on a separate sheet showing all the workings The assignment should be handed in on 7 th May 2008. MATHS DEPARTMENT: 3
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