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NAME………………………………………….ADM NO…………………..CLASS………… KCSE ONLINE TERM 1 2015 MID-TERM EXAM MATHEMATICS FORM 2 1) Simplify the leaving your answer in index form; (3mks) 5122/3 x 81/3 ÷ 26 2) a) Use mathematical table to evaluate the following; 17 0.051 + (4mks) 3 0.0027 b) Without using tables evaluate; 3 √(𝑥 − 𝑦 (𝑥 + 𝑦 Given that x = 76 and y = 49. Visit: www.kcse-online.info for lots of academic resources (3mks) 1 3) The volume of a sphere is given by 4⁄3 𝜋𝑟 3. Find the value of radius r if the volume of the sphere is 311cm3 and π = 3.14. (3mks) 4) Evaluate the following without using tables; (4mks) √0.729 𝑥 409.6 0.1728 3 5) Use mathematical tables to solve; 0.14683 + (4mks) 1 27.38 Visit: www.kcse-online.info for lots of academic resources 2 6) A right pyramid consists of a square base whose side is 5cm and isosceles triangles at a slant side 6cm. a) Draw the net of the pyramid. (3mks) b) From your net calculate the surface area of the pyramid. (4mks) Visit: www.kcse-online.info for lots of academic resources 3 7) Ali travels a distance of 5km form village A to village B in direction 0600. He then changes course and travels a distance 4km in the direction 1350 to village C. By using a suitable scale; a) Draw a diagram showing positions of the three villages. (5mks) b) From the diagram above; find; i) The distance between A and C in kilometers. (2mks) ii) The bearing of A from C. (3mks) Visit: www.kcse-online.info for lots of academic resources 4 8) a) Using a ruler and a pair of compasses only construct a triangle ABC in which angle BAC = 900, Ac=4cm and BC=8cm. (3mks) b. i) On the triangle above draw a circle to pass through A, B and C. (3mks) ii) Measure the radius of the circle and calculate the area of the circle taking π = 3.142. (4mks) Visit: www.kcse-online.info for lots of academic resources 5 9) Measurements of a maize field using a baseline XY were recorded as shown below. (Measurements are in metres) Y 360 80 to Q To R 80 280 To S 160 200 80 200 to P X Using a scale of 1cm to 40cm and baseline XY=400m; a) Draw the map of the maize field. (4mks) b) From the map above, find the area of maize field in hectares. (6mks) Visit: www.kcse-online.info for lots of academic resources 6