KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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QUESTION 3  KCSE 2023  AREA OF A TRIANGLE  PAPER 1  FORM 2 LEVELA triangle ABC is such that AB = 11 cm, BC = 8 cm and ABC = 53°. Calculate the area of the triangle correct to 2 decimal places. (2 marks)
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QUESTION 18  KCSE 2021  AREA & VOLUME OF A QUADRILATERAL  PAPER 1  FORM 2 LEVEL
Form 2 MathematicsForm 2 Mathematics
The figure below shows two triangles, ABC and BCD with a common base BC = 3.4 cm. AC = 7.2 cm, CD = 7.5 cm and ABC = 90°.
The area of triangle ABC = Area of triangle ∠BCD.
Calculate, correct to one decimal place:
(a) the area of triangle ABC; (b) the size of ∠BCD; (c) the length of BD; (d) the size of ∠BDC. Form 4 MathematicsForm 1 Mathematics
A garden is in the shape of a right angled triangle. The length of the shortest side is l7 m and the area of the garden is 346.8 m^{2}. Calculate the length of the longest side of the garden.
Form 2 MathematicsForm 2 MathematicsForm 1 Mathematics
A tailor had a piece of cloth in the shape of a trapezium. The perpendicular distance between the two parallel edges was 30cm. The lengths of the two parallel edges were 36 cm and 60cm. The tailor cut off a semi circular piece of the cloth of radius 14cm from the 60cm edge.
Calculate the area of the remaining piece of cloth. (Take π = 22/7) 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 = 150^{0} ˂ABC = 90^{0}
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 Mathematics
The figure below shows a right pyramid VABCDE. The base ABCDE is regular pentagon. AO = 15cm and VO = 36 cm.
Calculate:
(a) The area of the base correct to 2 decimal places (b) The length AV (c) The surface area of the correct to 2decimal places (d) The volume of the pyramid correct to 4 significant figures Form 2 Mathematics
In the figure below, PQ is parallel to RS. The lines PS and RQ intersect at T. RQ = 10 cm, RT:TQ = 3:2, angle PQT = 40° and angle RTS  80°.
(a) Find the length of RT.
(b) Determine, correct to 2 significant figures: (i) the perpendicular distance between PQ and RS; (ii) the length of TS. (c) Using the cosine rule, find the length of RS correct to 2 significant figures. (d) Calculate, correct to one decimal place, the area of triangle RST. Form 2 Mathematics
In a triangle ABC, BC =8 cm, AC= 12 cm and angle ABC = 120°.
(a) Calculate the length of AB, correct to one decimal place. (b) If BC is the base of the triangle, calculate, correct to one decimal place: (i) the perpendicular height of the triangle; (ii) the area of the triangle; (iii) the size of angle ACB. Form 2 Mathematics
The figure below represents a quadrilateral piece of land ABCD divided into three triangular plots The lengths BE and CD are 100m and 80m respectively. Angle ABE = 30^{0},angle ACE = 45^{0}and angle ACD = 100^{0}
Find to four significant figures:
(i) The length of AE (ii) The length of AD (iii) the perimeter of the piece of land (b) The plots are to be fenced with five strands of barbed wire leaving an entrance of 2.8 m wide to each plot. The type of barbed wire to be used is sold in rolls of lengths 480m. Calculate the number of rolls of barbed wire that must be bought to complete the fencing of the plots Form 2 Mathematics
The length of a rectangle is (3x + 1) cm, its width is 3 cm shorter than its length. Given that the area of the rectangle is 28cm^{2}, find its length.
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 TriangleFree 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1A triangle plot of land ABC is such that AB= 34 m, AC=66m and ∠BAC = 96.7^{0}
(a) In the figure below O is the centre of a circle whose radius is 5 cm AB = 8 cm and < AOB is obtuse. 
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