Category: Loci

The figure ABCD below is a scale drawing representing a rectangular garden of length 60 m and width 30m.

5/6/2023

0 Comments

KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 9

0 Comments

Using a ruler and pair of compasses only construct triangle ABC in which AB = 6.5cm, BC= 5.0cm and angle ABC = 600. Measure AC

13/5/2023

0 Comments

a) Using a ruler and pair of compasses only construct triangle ABC in which AB = 6.5cm, BC= 5.0cm and angle ABC = 600. Measure AC (3mks)
b) On same side of AB as C (3mks)
i) Determine the locus of a point P such that angle APB = 600 (3mks)
ii) Construct the locus of R such that AR = 3cm. (1mk)
iii) Identify the region T such that AR  3 and APB  600 by shading the unwanted part. (3mks)

0 Comments

QUESTION AND ANSWER ON LOCI MODEL06012023006

5/1/2023

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2019PP2QN19

24/9/2020

0 Comments

Form 4 Mathematics

The figure KLMN below is a scale drawing of a rectangular piece of land of length KL = 80m

(a) On the figure, construct
(i) The locus of a point P which is both equidistant from points L and M It and from lines KL and LM.
(ii) the locus of a point Q such that ∠KQL = 90°.
(b) (i) Shade the region R bounded by the locus of Q and the Locus of points equidistant from KL and LM.
(ii) Find the area of the region R in m². (Take ℼ= 3.142).

answers

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.20

22/9/2020

0 Comments

Form 4 Mathematics

(a) BCD is a rectangle in which AB = 7.6 cm and AD = 5.2 cm. draw the rectangle and construct the lucus of a point P within the rectangle such that P is equidistant from CB and CD ( 3 marks)

(b) Q is a variable point within the rectangle ABCD drawn in (a) above such that 600 ≤ AQB≤ 900 On the same diagram, construct and show the locus of point Q, by leaving unshaded, the region in which point Q lies

Answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2017PP2QN09

17/9/2020

0 Comments

Form 4 Mathematics

The figure below is a triangle ABC.

(a) On the triangle, locate the locus of points equidistant from AC and AB and 5 cm from B.
(b) Shade the region R, inside the triangle, which is less than 5 cm from B and nearer to AC than AB.

answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2015PP2QN10

10/9/2020

0 Comments

Form 4 Mathematics

Below is a lien AB and a point X. Determine the locus of a point P equidistant from points A and B and 4 cm from X.

answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2014PP2QN23

8/9/2020

0 Comments

Form 4 Mathematics

Figure ABCD below is a scale drawing representing a square plot of side 80 metres.

On the drawing, construct:
(i) the locus of a point P, such that it is equidistant from AD and BC.
(ii) the locus of a point Q such that <AQB = 60°.
(i) Mark on the drawing the point Q , the intersection of the locus of Q and line AD.
Determine the length of BQ1 in metres.
(ii) Calculate, correct to the nearest m2, the area of the region bounded by the locus of P, the locus of Q and the line BQ1

answers

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2003PP2QN022

8/9/2020

0 Comments

Form 4 Mathematics

The line PQ below is 8cm long and L is its midpoint

a)
- i) Draw the locus of point R above line PQ such that the area of triangle PQR is 12cm².
- ii) Given that point R is equidistant from P and Q,show the position of point R..
b) Draw all the possible loci of a point T such that ∠RQL = ∠RTL. (4mks)

Answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2013PP2QN12

3/9/2020

0 Comments

Form 4 Mathematics

A point P moves inside a sector of a circle, centre O, and chord AB such that 2cm < OP ≤ 3cm and angle APB = 65 Draw the locus of P

answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2013PP1QN06

2/9/2020

0 Comments

Form 4 Mathematics

A point P on the line AB shown below is such that AP = 2/7 AB. By construction locate P.

answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2011PP2QN12

28/8/2020

0 Comments

Form 4 Mathematics

The figure below represents a scale drawing of a rectangular piece of land, RSTU. RS = 9 cm and ST = 7 cm.

An electric post P, is to be erected inside the piece of land. On the scale drawing, shade the possible region in which P would lie such that PU > PT and PS ≤ 7 cm

answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2006PP2QN07

10/8/2020

0 Comments

Form 4 Mathematics

The figure below shows a circle centre O and a point Q which is outside the circle

Using a ruler and a pair of compasses, only locate a point on the circle such that angle OPQ = 90^o

answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2001PP2QN014

10/8/2020

0 Comments

Form 4 Mathematics

The diagram below represents a field PQR

a) Draw the locus of points equidistant from sides PQ and PR.
b) Draw the locus of points equidistant from points P and R.
c) a coin is lost within a region which is nearest to point P than to R and closer to side Pr than to side P,q, shade the region where the coin can be located.

Answer

0 Comments

K.C.S.E Mathematics Q & A - MODEL 2000PP2QN22

14/7/2020

0 Comments

Form 4 Mathematics

The line segment BC given below is one side of triangle ABC

(a) Use a ruler and compasses to complete the construction of a triangle ABC in which ∠ABC = 45⁰. AC = 5.6 cm and ∠BAC is obtuse
(b) Draw the locus of point P such that P is equidistant from a point O and passes though the vertices of triangle.
(c) Locate point D on the locus of P equidistant from lines BC and BO. Q lies in the region enclosed by lines BD, BO extended and the locus of P. Shade the locus of Q.

Answer

0 Comments

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

7/6/2020

0 Comments

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

0 Comments

K.C.S.E Mathematics Q & A - MODEL 1997PP2QN04

26/5/2020

0 Comments

On the figure below construct

(i) The perpendicular bisector of BC
(ii) The locus of a point P which moves such a way that
∠APB = ∠AVB and P is on the same side of AB on the same side of AB as C

K.N.E.C Marking Scheme

0 Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN23

14/5/2020

0 Comments

Use ruler and compasses only in this question

The diagram below shows three points A, B and D

(a) Construct the angle bisector of acute angle BAD (1 mark)
(b) A point P, on the same side of AB and D, moves in such a way that ∠APB = 22 ½⁰ construct the locus of P (6 marks)
(c) The locus of P meets the angle bisector of < BAD at C measure ∠ABC (1 mark)
(d) Hence find area of the image A” B” C” (2 marks)

MARKING SCHEME

0 Comments

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

12/5/2020

0 Comments

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

0 Comments

KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~Topically Analyzed

​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 9

Form 4 Mathematics

19

Form 4 Mathematics

N.20

Form 4 Mathematics

9

Form 4 Mathematics

10

Form 4 Mathematics

23

Form 4 Mathematics

N.22

Form 4 Mathematics

12

Form 4 Mathematics

6

Form 4 Mathematics

12

Form 4 Mathematics

7

Form 4 Mathematics

13

Form 4 Mathematics

22

​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

On the figure below construct

Use ruler and compasses only in this question

The diagram below shows three points A, B and D

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

Latest Posts

KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 9

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.