KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
In the figure below CP= CQ and ∠CQP = 1600. If ABCD is a cyclic quadrilateral, find ∠BAD.2 marks
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The second and fifth terms of a geometric progressions are 16 and 2 respectively. Determine the common ratio and the first term.3 MARKS A boat moves 27 km/h in still water. It is to move from point A to a point B which is directly east of A. If the river flows from south to North at 9 km/ h, calculate the track of the boat.3 MARKS The ratio of the lengths of the corresponding sides of two similar rectangular water tanks is 3:5. The volume of the smaller tank is 8.1 m3. Calculate the volume of the larger tank.3 MARKS A translation maps a point (1, 2) onto) (-2, 2) . What would be the coordinates of the object whose image is (-3, -3) under the same translation? 2 MARKS Calculate volume of a prism whose length is 25 cm and whose cross- section is an equilateral triangles of 3 cm.3 MARKS The tables shows the yearly percentage taxations ratesCalculate three- yearly moving averages for the data giving answers to s.f. (3 marks) On the grid provided on the opposite page ABCE is a trapezium(a) ABCD is mapped onto A‟B‟C‟D‟ by a positive quarter turn. Draw the image A‟B‟C‟D‟ on the grid. ( 1 mark)(i) Obtain the coordinates of A” B” C” D” on the grid ( 2 marks)(ii) Plot the image A” B” C” D” on the grid (1 mark) (c) Determine a single matrix that maps A” B” C” D” ( 4 marks) (a) Construct a table of values for the function y = x2 – 6 for -3 < x <4
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A solid cone of height 12 cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere |
4 MARKS
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