KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 2 MathematicsForm 2 MathematicsForm 2 Mathematics
A piece of wire is bent into the shape of an isosceles triangle. The base angles are each 48° and the perpendicular height to the base is 6 cm. Calculate,
correct to one decimal place, the length of the wire. Form 4 Mathematics
Determine the amplitude and period of the function, y = 2 cos (3x — 45)°.
Form 2 Mathematics
The figure below represents a right pyramid with vertex V and a rectangular base PQRS. VP = VQ = VR S = 18cm and QR =16cm and QR = 12cm. M and O are the midpoints of QR and PR respectively.
Find:
Form 2 MathematicsThree points O, A and B are on the same horizontal ground. Point A is 80 metres to the north of O. Point B is located 70 metres on a bearing of 0600 from A. A vertical mast stands at point B. The angle of elevation of the top of the mast from o is 200. Calculate: a) The distance of B from O. (2mks) b) The height of the mast in metres (2mks) Form 2 Mathematics
Two straight paths are perpendicular to each other at point p.One path meets a straight road at point A while the other meets the same road at B. Given that PA is 50 metres while PB is 60 metres. Calculate the obtuse angle made by path PB and the road.
Form 2 Mathematics
The length of a solid prism is 10cm. Its cross section is an equilateral triangle of side 6cm.
Find the total surface area of the prism. Form 2 Mathematics
A triangular flower garden has an area of 28m2. Two of its edges are 14 metres and 8 metres. Find the angle between the two edges.
Form 2 Mathematics
An electric pole is supported t stand vertically on a level ground by a tight wire. The wire is pegged at a distance of 6 metres from the foot of the pole as shown.
The angle which the wire makes with the ground is three times the angle it makes with the pole.
Calculate the length of the wire to the nearest centimeter. Form 2 Mathematics
The diagram below represents two vertical watch-towers AB and CD on a level ground. P and Q are two points on a straight road BD. The height of the tower AB is 20m road a BD is 200m.
a) A car moves from B towards D. At point P, the angle of depression of the car from point A is 11.3. Calculate the distance BP to 4 significant figures.
b) If the car takes 5 seconds to move from P to Q at an average speed of 36 km/h, calculate the angle of depression of Q from A to 2 decimal places c) Given that QC=50.9m, calculate; (i) The height of CD in meters to 2 decimal places; (ii) The angle of elevation of A from C to the nearest degree. Form 2 MathematicsForm 2 Mathematics
The figure below represents a right prism whose triangular faces are isosceles. The base and height of each triangular face are 12cm and 8cm respectively. The length of the prism is 20cm.
Calculate the:
Form 2 MathematicsAn electric pylon is 30m high. A point S on top of the pylon is vertically above another point on the ground . Points A and B are on the same horizontal ground as R. Point A is due south of the pylon and the angle of elevation of S from A is 260. Point B is due west of the pylon and the angle of elevation of S from B is 320.
Form 2 MathematicsGiven that tan 750 = 2 + √3, find without using tables tan 150 in the form p + q√m, where p,q and m are integers. Form 2 MathematicsTwo sides of a triangles are 5 cm each and the angle between them is 1200. Calculate the area of the triangle.
Form 2 Mathematics | Topical Questions and Answers
A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42 m
Related Questions on Area of a TriangleForm 2 Mathematics
​The diagram below shows a right pyramid VABCD with V as the vertex. The base of the pyramid is rectangle ABCD, WITH ab = 4 cm and BC= 3 cm. The height of the pyramid is 6cm.
Related Questions on Trigonometry IA point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 300 and the angle of elevation of the top of the window is 350. Calculate the vertical distance.(a) From A to the bottom of the window A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)A hillside is in the form of a plane inclined at an angle of 300 to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.
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