KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
Form 1 Mathematics
Using a pair of compasses and ruler only, construct a quadrilateral ABCD in which AB = 4cm, BC = 6 cm, AD = 3 cm, angle ABC = 135° and angle
DAB = 60°. Measure the size of angle BCD.
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Form 1 MathematicsForm 1 Mathematics
Using a ruler and a pair of compases only:
(a) construct a parallelogram PQRS in which PQ = 6 cm, QR = 4 cm and angle SPQ= 75°; (b) determine the perpendicular distance between PQ and SR. Form 1 MathematicsForm 1 Mathematics
Using a ruler and a pair of compasses only, construct a rhombus QRST in which angle TQR = 600 and QS = 10 cm.
Form 1 MathematicsForm 1 Mathematics
The diagonals of a rhombus PQRS intersect at T. Given that p(2,2), Q(3, 6 ) and R(-1, 5):
a) Draw the rhombus PQRS on the grid provided; b) State the coordinates of T. Form 1 MathematicsForm 1 MathematicsForm 1 MathematicsRelated Questions and Answers on Geometric ConstructionsForm 1 Mathematics
In this question use a ruler and a pair of compasses
Line PQ drawn below is part of a triangle PQR. Construct the triangle PQR in which
a) < QPR = 300 and line PR = 8cm b) On the same diagram construct triangle PRS such that points S and Q are no the opposite sides of PR<PS = PS and QS = 8cm c) A point T is on the a line passing through R and parallel to QS.If <QTS =900, locate possible positions of T and label them T1 and T2, Measure the length of T1T2. Form 1 MathematicsForm 3 Mathematics
In this question use a ruler and a pair of compasses only
In the figure below, AB and PQ are straight lines
(a) Use the figure to:
(i) Find a point R on AB such that R is equidistant from P and Q (ii) Complete a polygon PQRST with AB as its line of symmetry and hence measure the distance of R from TS. (b) Shade the region within the polygon in which a variable point X must lie given that X satisfies the following conditions I: X is nearer to PT than to PQ II: RX is not more than 4.5 cm III. angle PXT > 90 Form 1 Mathematics
(a) Draw a regular pentagon of side 4 cm
(b) On the diagram drawn, construct a circle which touches all the sides of the pentagon Form 1 Mathematics
In this question use a pair of compasses and a ruler only(a) construct triangle ABC such that AB = 6 cm, BC = 8cm and <ABC 1350
(b) Construct the height of triangle ABC in a) above taking BC as the base Form 1 MathematicsUse a ruler and compasses in this question. Draw a parallegram ABCD in which AB = 8 cm, BC = 6 cm and ∠BAD = 750. By construction, determine the perpendicular distance between AB and CD. Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
In the figure below a line XY and three points. A,B and C are given. On the figure construct
Use a ruler and a pair of compasses only for all constructions in this question(a) On the line BC given below, construct triangle ABC such that ∠ABC = 300 and BA = 12 cm
Using ruler and compasses only, construct a parallelogram ABCD such that AB = 10cm, BC = 7cm and ∠ABC = 1050. Also construct the loci of P and Q within the parallel such that AP ≤ 4 cm, and BC ≤ 6 cm. Calculate the area within the parallelogram and outside the regions bounded by the loci. |
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