Category: GEOMETRIC CONSTRUCTIONS

K.C.S.E Mathematics Q & A - MODEL 2001PP1QN08

21/7/2020

Form 1 Mathematics

Use 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.

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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN11

25/6/2020

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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

Given below is line BC. Without using a protractor construct another through B making an angle of 37 ½⁰ with BC. Using the constructed line subdivide BC into 7 equal parts.

answer

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN11

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K.C.S.E Mathematics Q & A - MODEL 1998PP2QN08

13/6/2020

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Free 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

(a) The perpendicular bisector of AB
(b) A point P on line xy such that ∠APB = ∠ACB

answer

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN08

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN23

7/6/2020

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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

(b) Construct a perpendicular from A to meet BC produced at D. Measure CD
(c) Construct triangle A’B’C’ such that the area of triangle A’B’C is the three quarters of the area of triangle ABC and on the same side of BC as triangle ABC.
(d) Describe the lucus of A’

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN23

ANSWER

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K.C.S.E Mathematics Q & A-MODEL 1997PP1QN19

20/5/2020

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Using ruler and compasses only construct triangle ABC such that AB = 4 cm, BC = 5 cm and ∠ABC = 120⁰. Measure AC.

On the diagram, construct a circle which passes through the vertical of the triangle ABC.
Measure the radius of the circle
Measure the shortest distance from the centre of the circle to line BC.

KNEC MARKING SCHEME

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K.C.S.E Mathematics Q & A-MODEL 1995PP2QN22

12/5/2020

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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.

MARKING SCHEME

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

K.C.S.E Mathematics Q & A - MODEL 2001PP1QN08

Form 1 Mathematics

8

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN11

Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

11

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN08

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN23

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

K.C.S.E Mathematics Q & A-MODEL 1997PP1QN19

Using ruler and compasses only construct triangle ABC such that AB = 4 cm, BC = 5 cm and ∠ABC = 120⁰. Measure AC.

On the diagram, construct a circle which passes through the vertical of the triangle ABC.
Measure the radius of the circle
Measure the shortest distance from the centre of the circle to line BC.

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN22

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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HIGH SCHOOL RESOURCES

COLLEGE RESOURCES

FREE NOVELS

PRIMARY SCHOOL RESOURCES 8-4-4

PRIMARY SCHOOL RESOURCES CBC

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

K.C.S.E Mathematics Q & A - MODEL 2001PP1QN08

Form 1 Mathematics

8

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN11

Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

11

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN08

Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN23

​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

K.C.S.E Mathematics Q & A-MODEL 1997PP1QN19

Using ruler and compasses only construct triangle ABC such that AB = 4 cm, BC = 5 cm and ∠ABC = 1200. Measure AC.

​On the diagram, construct a circle which passes through the vertical of the triangle ABC. Measure the radius of the circle Measure the shortest distance from the centre of the circle to line BC.

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN22

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.

Categories

Archives

Author

HIGH SCHOOL RESOURCES

COLLEGE RESOURCES

FREE NOVELS

PRIMARY SCHOOL RESOURCES 8-4-4

PRIMARY SCHOOL RESOURCES CBC

Send Us a Message

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 triangle ABC such that AB = 4 cm, BC = 5 cm and ∠ABC = 120⁰. Measure AC.

On the diagram, construct a circle which passes through the vertical of the triangle ABC.
Measure the radius of the circle
Measure the shortest distance from the centre of the circle to line BC.

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.