Each deposit is less than the previous one by sh 115 If she started by

# Each deposit is less than the previous one by sh 115

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Irene deposits her money in a savings bank on a monthly basis. Each deposit is less than the previous one by sh 115. If she started by depositing sh 1400, how much money will she deposit in the twelfth month. (3 marks) (c) Mwangi and Kosgei were employed on the same day and their salaries were as follows. Mwangi: Sh 11000 per month and an increment of sh 300 at the end of every year. Kosgei: shs 10000 per month and an increment of shs 500 at the end of every year. After how many years will they earn equal salaries? (3 marks) 8

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18. The diagram below shows a right pyramid VABCD with V as the vertex. The base of the pyramid is a rectangle ABCD, with AB = 4cm and BC=3cm. The height of the pyramid is 6cm V. (a) Calculate the i. Volume of the pyramid (2 marks) ii. Length of the projection of VA on the base. (2 marks) iii. Angle between the face VAB and the base. (2 marks) (b) P is the midpoint of VC and Q is the midpoint of VD. Find the angle between the planes VAB and the plane ABPQ. (4 marks) 9
19. Use ruler and compasses only in all the constructions below. (a) Construct a triangle ABC in which AB = 7 cm, BC = 8 cm and angle ABC = 60 0 Measure (i) AC (ii) Angle ACB (4 marks) (b) Construct a circle passing through the vertices A , B and C. (3 marks) Measure the radius of the circle (c) Construct triangle PBC such that P is on the same side of BC as point A, angle PCB = ½ angle ACB and angle BPC = angle BAC. Measure angle PBC. (3 marks) 10

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20. (a)
• Fall '18
• ANYANZWA

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