KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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Form 1 Mathematics
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Form 1 Mathematics
The figure below represents a piece of land in the shape of a quadrilateral in which AB =240M, BC = 70m CD = 200m ˂BCD = 1500 ˂ABC = 900
Calculate
(a) The size of ˂BAC correct to 2decimal places (b) The length AD correct to one decimal place (c) The area of the piece of land, in hectares, correct to 2 decimal places 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 1 Mathematics
Four points B,C,Q and D lie on the same plane. Point B is 42km due South – West of point Q. Point C is 50km on a bearing of S 600 E from Q.
Point D is equidistant B, Q and C.
Form 1 MathematicsForm 2 Mathematics
In the diagram below PA represents an electricity post of height 9.6 m. BB and RC represents two storey buildings of heights 15.4 m and 33.4 m respectively.
The angle of depression of A from B is 5.50 While the angle of elevation of C from B is 30.50 and BC = 35m.
(a) Calculate, to the nearest metre, the distance AB
(b) By scale drawing find, (i) The distance AC in metres (ii) Angle BCA and hence determine the angle of depression of A from C Form 1 Mathematics
The figure below is drawn to scale. It represents a field in the shape of an equilateral triangle of side 80m
The owner wants to plant some flowers in the field. The flowers must be at most, 60m from A and nearer to B than to C. If no flower is to be more than 40m from BC, show by shading, the exact region where the flowers may be planted
Form 1 MathematicsA helicopter is stationed at an airport H on a bearing 060o and 800km from another airport P.A third airport is J is on bearing of 1400 and 1,200km from H. Determine:
Form 1 MathematicsA rally car traveled from point R to point S. S is 128 km on a bearing 0600 from R. The car then set off S at 9.30 am towards T at an average of 150 km/h. It was expected at T at 11.30 am. After traveling for I hour and 20 minutes it broke down at point P. The bearing of T and P from S is 3000.
Calculate the:
Form 1 Mathematics | Topical Questions and AnswersShopping centers X, Y and Z are such that Y is 12 km south of X and Z is 15 km from X.Z is on a bearing of 3300 from Y. Form 1 Mathematics | Topical Questions and AnswersForm 1 Mathematics
The diagram below shows a garden drawn to scale of 1: 400. In the garden there are already tow trees marked A and B. The gardener wises to plant more trees. There are a number of rules he wishes to apply.
​Rule 1: Each new tree must be an equal distance from both trees A and B.
Rule 2: Each new tree must be at least 4 m from the edges of the garden. Rule 3: Each new tree is at least 14 m from tree B.
Related Questions on Scale DrawingForm 1 Mathematics
A tower is on a bearing of 0300 from a point P and a distance of elevation of the top is 150 and the angle of depression of the foot of the tower is 10.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
There are two signposts A and B on the edge of the road. A is 400 m to the west of b. A tree is on a bearing of 0600 from A and a bearing of 3300 from B.
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