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Form 1 MathematicsSuccessive moving averages of order 5 for the numbers 9,8.2, 6.7,5.4, 4.7 and k are A and B. Given that A – B = 0.6 find the value of k. Form 2 Mathematics
The volumes of two similar solid cylinders are 4752 cm^{3} and 1408 cm^{3}. If the area of the curved surface of the smaller cylinder is 352 cm^{2}, find the area of the curved surface of the larger cylinder. ( 4 marks)
Form 3 MathematicsFind, without using Mathematical Tables the values of x which satisfy the equation Log_{2} (x^{2} – 9) = 3 log_{2} (2 + 1) (4 marks) Form 1 MathematicsPipe a can fill an empty water tank in 3 hours while, pipe B can fill the same tank in 6 hours, when the tank is full it can be emptied by pipe C in 8 hours. Pipes A and B are opened at the same time when the tank is empty. If one hour later, pipe C is also opened, find the total time taken to fill the tank (4 marks) Form 3 MathematicsThe first three consecutive terms of a geometrical progression are 3, x and 5 ^{1}/_{3}. Find the value of x. ( 2 marks) Form 2 MathematicsForm 1 MathematicsIn a fund raising committee of 45 people, the ratio of men to women is 7: 2. Find the number of women required to join the existing committee so that the ratio of men to women is changed to 5: 4 ( 3 marks) Form 2 MathematicsThe diagram below represents a rectangular swimming pool 25m long and 10m wide. The sides of the pool are vertical. The floor of the pool slants uniformly such that the depth at the shallow end is 1m at the deep end is 2.8 m. (a) Calculate the volume of water required to completely fill the pool. (b) Water is allowed into the empty pool at a constant rate through an inlet pipe. It takes 9 hours for the water to just cover the entire floor of the pool. Calculate: (i) The volume of the water that just covers the floor of the pool ( 2 marks) (ii) The time needed to completely fill the remaining of the pool ( 3 marks) Form 3 MathematicsThe points P, Q, R and S have position vectors 2p, 3p, r and 3r respectively, relative to an origin O. A point T divides PS internally in the ratio 1:6 (a) Find, in the simplest form, the vectors OT and QT in terms P and r ( 4 marks) (i) Show that the points Q, T, and R lie on a straight line ( 3 marks) Form 2 Mathematics
A school water tank is in the shape of a frustum of a cone. The height of the tank is 7.2 m and the top and bottom radii are 6m and 12 m respectively.
(a) Calculate the area of the curved surface of the tank, correct to 2 decimal places. (b) Find the capacity of the tank, in litres, correct to the nearest litre. (c) On a certain day, the tank was filled with water. If the school has 500 students and each student uses an average of 40 litres of water per day, determine the number of days that the students would use the water. Form 1 Mathematics
A photograph print measuring 24cm by 15 cm is enclosed in a frame. A uniform space of width x cm is left in between the edges of the photograph and the frame. If the area of the space i‹ 270cm^{2}, find the value of x.
Form 1 Mathematics
A Kenyan businessman intended to buy goods worth US dollar 20 000 from South Africa
Calculate the value of the goods to the nearest South Africa (S.A) Rand given that 1 US dollar = Ksh 101.9378 and 1 S.A Rand = Ksh 7.6326. Form 2 Mathematics 
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
