Category: Bearings

A forest is enclosed by four straight boundaries AB, BC, CD and DA. Point B is 25 km on a bearing of 315° from A, C is directly south of B on a bearing of 260° from A and D is 30 km on a bearing of 210° from C.

22/5/2023

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A forest is enclosed by four straight boundaries AB, BC, CD and DA. Point B is 25 km on a bearing of 315° from A, C is directly south of B on a bearing of 260° from A and D is 30 km on a bearing of 210° from C.

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 20

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Three Jets MN and P are coming to airport A which is on the bearing 3400 from an adjacent airport B. N is East of airport A and 600km from airport B, on the bearing of 0400. M is on a bearing 0450 from A . P and M are due north of B. P is on the bearing

11/5/2023

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Three Jets MN and P are coming to airport A which is on the bearing 3400 from an adjacent airport B. N is East of airport A and 600km from airport B, on the bearing of 0400. M is on a bearing 0450 from A . P and M are due north of B. P is on the bearing of 2500 from N

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Four towns PQR and S are located such that town Q is 70km on a bearing of 050° from P. Town R is 50km on a bearing of 145° from Q and town S is 55km on a bearing of S35°W of R.

29/4/2023

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Four towns PQR and S are located such that town Q is 70km on a bearing of 050° from P.
Town R is 50km on a bearing of 145° from Q and town S is 55km on a bearing of S35°W of R.
(a)By scale drawing, show the relative position of the four towns.
(Use a scale of 1cm to represent 10km). (3mks)
(b) Use your diagram to determine
(i)        the distance and bearing of P from S. (3mks)
(ii)       how far R is from P. (2mks)
(c)       Determine by the diagram or otherwise how far north town P is from town S. (2mks)

ANSWER

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Four points B, C, Q and D lie on the same plane. Point B is 42km due southwest point Q. Point C is 50 km on a bearing of S60degreesE from Q. Point D is equidistant from B, Q and C.

23/11/2021

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Four points B, C, Q and D lie on the same plane. Point B is 42km due southwest point Q. Point C is 50 km on a bearing of S60^oE from Q. Point D is equidistant from B, Q and C.

(a) Using the scale: 1cm represents 10km, construct a diagram showing the positions of B, C, Q and D. (5mks)

(b) Determine the
(i) Distance between B and C (1mk)

(ii) Bearing of D from B (2mks)

(c) Find the distance and bearing of D from C. (2mks)

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K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.22

23/9/2020

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Form 1 Mathematics

A boat at point x is 200 m to the south of point Y. The boat sails X to another point Z. Point Z is 200m on a bearing of 310⁰ from X, Y and Z are on the same horizontal plane.

(a) Calculate the bearing and the distance of Z from Y ( 3 marks)

(b) W is the point on the path of the boat nearest to Y. Calculate the distance WY ( 2 marks)

(c) A vertical tower stands at point Y. The angle of point X from the top of the tower is 6⁰ calculate the angle of elevation of the top of the tower from W (3 marks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2019PP1QN07

22/9/2020

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Form 1 Mathematics

Three villages A, B and C rife Such that B is 53 km on a bearing of 295° from A and C is 75 km east of B.
(a) Using a scale of 1 cm to represent 10 km, draw a diagram to show the relative positions of villages A, B and C.
(b) Determine the distance, in km, of C from A.

answer

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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.23

18/9/2020

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Form 2 Mathematics

A boat which travels at 5 km/h in still water is set to cross a river which flows from the north at 6km/h. The boat is set on a course of x⁰ with the north.

(a) Given that cos x⁰ = ³/₅ , calculate

(i) The resultant speed of the boat ( 2 marks)

(ii) The angle which the track makes with the north ( 2 marks)

(b) If the boat is to sail on a bearing of 135⁰, calculate the bearing of possible course on which it can be set ( 4 marks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN21

16/9/2020

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Form 1 Mathematics

The comer points A, B, C and D of a ranch are such that B is 8km directly East of A and C is 6km from B on a bearing of 30°. D is 7km from C on a bearing of 300°.
(a) Using a scale of 1cm to represent 1km, draw a diagram to show the positions of A, B, C and D.
(b) Use the scale drawing to determine:
(i) the bearing of A from D;
(ii) the distance BD in kilometres.

answers

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K.C.S.E Mathematics Q & A - MODEL 2004.PP2.QN.19

16/9/2020

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Form 1 Mathematics

For electricity posts, A,B,C, and D stand on a level ground such that B is 21 m on a bearing of 060^₀ from A, C, is 15 m to the south of B and D is 12 m on a bearing of 140^₀ from A.

(a)
- (i) Using scale of 1 cm of I cm to represents 3 metres, draw a diagram to show the relative positions of the posts
- (ii) Find the distances and the bearing of C from D
(b) The height of the post at A IS 8.4m. On a separate scale drawing, mark and determine the angle of depression of the foot of the post at C from the top of the top of the post at A.

Answer

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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN12

13/9/2020

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Form 1 Mathematics

Points L and M are equidistant from another point K.; The bearing of L form K is 330. The bearing of M from K is 220.
Calculate the bearing of M from L

answer

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K.C.S.E Mathematics Q & A - MODEL 2014PP1QN09

7/9/2020

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Form 1 Mathematics

A plane leaves an airstrip L and flies on a bearing of 040⁰ to airstrip M, 500km away. The plane then leaves on a bearing of 316⁰ to airstrip N. The bearing ofN from L is 350⁰. By scale drawing, determine the distance between airstrips M and N.

answer

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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN015

3/9/2020

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Form 2 Mathematics

Three 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)

aNSWERS

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K.C.S.E Mathematics Q & A - MODEL 2012PP1QN23

31/8/2020

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Form 1 Mathematics

Three pegs R, S and T are on the vertices of a triangular plain field. R is 300 m from S on a bearing of 300° and T is 450 m directly south of R.
(a) Using a scale of 1 cm to represent 60 m, draw a diagram to show the positions of the pegs.
(b) Use the scale drawing to determine:
(i) the distance between T and S in metres:
(ii) the bearing of T from S.
(c) Find the area of the field, in hectares, correct to one decimal place.

answers

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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN022

30/8/2020

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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.

a) Using the scale: 1cm represents 10km, construct a diagram showing the positions of B, C, Q and D.

Determines the:

i) Distance between B and C
ii) Bearing of D from B.

aNSWER

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K.C.S.E Mathematics Q & A - MODEL 2011PP1QN15

26/8/2020

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Form 1 Mathematics

Three police posts X, Y and Z are such that Y is 50 km on a bearing of 060° from X while Z is 70 km from Y and on a bearing of 300° from X.
(a) Using a suitable scale, draw a diagram to represent the above situation.
(b) Determine the distance, in km, of Z from X.

answer

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K.C.S.E Mathematics Q & A - MODEL 2010PP1QN20

25/8/2020

0 Comments

Form 1 Mathematics

The boundaries PQ, QR, RS and SP of a ranch are straight lines such that: Q is 16 km on a bearing of 040° from P; R is directly south of Q and east of P and S is 12 km on a bearing of 120⁰ from R.
(a) Using a scale of 1cm to represent 2 km, show the above information in a scale drawing.
(b) From the scale drawing determine:
(i) the distance, in kilometers, of P from S;
(ii) the bearing of P from S.
(c) Calculate the area of the ranch PQRS in square kilometres.

answers

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K.C.S.E Mathematics Q & A - MODEL 2009PP1QN23

20/8/2020

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Form 1 Mathematics

Three points P, Q and R are on a level ground. Q is 240 m from P on a bearing of 230⁰ . R is 120 m to the east of P
a) Using a scale of 1 cm to represent 40 m, draw a diagram to show the positions of P, Q and R in the space provided below.
b) Determine i) The distance of R from Q ii) The bearing of R from Q
c) A vertical post stands at P and another one at Q. A bird takes 18 seconds to fly directly from the top of the post at q to the top of the post at P. Given that the angle of depression of the top of the post at P from the top of the post at Q is 9⁰, Calculate:
i) The distance to the nearest metre, the bird covers;
ii)The speed of the bird in Km/h

answers

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K.C.S.E Mathematics Q & A - MODEL 2007PP1QN15

12/8/2020

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Form 1 Mathematics

Points L and M are equidistant from another point K. The bearing of L from K is 330⁰.
The bearing of M from K is 220⁰.Calculate the bearing of M from L

answer

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K.C.S.E Mathematics Q & A - MODEL 2001PP2QN017

10/8/2020

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Form 1 Mathematics

A helicopter is stationed at an airport H on a bearing 060^o and 800km from another airport P.A third airport is J is on bearing of 140⁰ and 1,200km from H.

Determine:

i) Value of P
ii)The bearing of P from J

Answer

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

A forest is enclosed by four straight boundaries AB, BC, CD and DA. Point B is 25 km on a bearing of 315° from A, C is directly south of B on a bearing of 260° from A and D is 30 km on a bearing of 210° from C.

​ANSWER

Four points B, C, Q and D lie on the same plane. Point B is 42km due southwest point Q. Point C is 50 km on a bearing of S60oE from Q. Point D is equidistant from B, Q and C.

(a) Using the scale: 1cm represents 10km, construct a diagram showing the positions of B, C, Q and D. (5mks)

(b) Determine the (i) Distance between B and C (1mk)

(ii) Bearing of D from B (2mks)

(c) Find the distance and bearing of D from C. (2mks)

Form 1 Mathematics

N.22

Form 1 Mathematics

7

Form 2 Mathematics

N.23

Form 1 Mathematics

21

Form 1 Mathematics

N.19

Form 1 Mathematics

12

Form 1 Mathematics

9

Form 2 Mathematics

15

Form 1 Mathematics

23

Form 1 Mathematics

22

Form 1 Mathematics

15

Form 1 Mathematics

20

Form 1 Mathematics

23

Form 1 Mathematics

15

Form 1 Mathematics

17

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ANSWER

Four points B, C, Q and D lie on the same plane. Point B is 42km due southwest point Q. Point C is 50 km on a bearing of S60^oE from Q. Point D is equidistant from B, Q and C.

(b) Determine the
(i) Distance between B and C (1mk)