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K.C.S.E Mathematics Q & A - MODEL 2000PP2QN18

14/7/2020

Form 1 Mathematics

A rally car traveled from point R to point S. S is 128 km on a bearing 060⁰ from R. The car then set off S at 9.30 am towards T at an average of 150 km/h. It was expected at T at 11.30 am. After traveling for I hour and 20 minutes it broke down at point P. The bearing of T and P from S is 300⁰.

Calculate the:

(a)
- (i) Distance from R to P
- (ii) Bearing of P and R
(b) The repair took 10 minutes and the car set off to complete its journey to T. Find the speed at which car must now move to reach T on time.

Answer

K.C.S.E Mathematics Q & A - MODEL 2000PP2QN18

K.C.S.E Mathematics Q & A - MODEL 2000PP1QN08

8/7/2020

Form 1 Mathematics | Topical Questions and Answers

Shopping centers X, Y and Z are such that Y is 12 km south of X and Z is 15 km from X.Z is on a bearing of 330⁰ from Y.

ANSWER

K.C.S.E Mathematics Q & A - MODEL 2000PP1QN06

8/7/2020

Form 1 Mathematics | Topical Questions and Answers

The enclosed region shown in the figure below represent a ranch drawn to scale. The actual area of the ranch is 1075 hectares.

(a) Estimate the area of the enclosed region in square centimetres
(b) Calculate the linear scale used

K.C.S.E Mathematics Q & A - MODEL 2000PP1QN06

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1999PP2QN21

30/6/2020

Form 1 Mathematics

The diagram below shows a garden drawn to scale of 1: 400. In the garden there are already tow trees marked A and B. The gardener wises to plant more trees. There are a number of rules he wishes to apply.

Rule 1: Each new tree must be an equal distance from both trees A and B.
Rule 2: Each new tree must be at least 4 m from the edges of the garden.
Rule 3: Each new tree is at least 14 m from tree B.

(a) Draw the locus given by each of these rules on the diagram
(b) If the new trees are to be planted 4m apart, show on your diagram the possible planting points for the new trees.

Answer

K.C.S.E Mathematics Q & A - MODEL 1999PP2QN21

Related Questions on Scale Drawing

K.C.S.E Mathematics Q & A - MODEL 1999PP2QN18

30/6/2020

Form 1 Mathematics

A tower is on a bearing of 030⁰ from a point P and a distance of elevation of the top is 15⁰ and the angle of depression of the foot of the tower is 1⁰.

a) Find the height of the tower
b) A point Q is on the same horizon plane as point P. The tower is on a bearing 330⁰ from Q and at a distance of 70 m.

Answer

K.C.S.E Mathematics Q & A - MODEL 1999PP2QN18

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN05

25/6/2020

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

The figure below is a map of a forest drawn on a grid of 1 cm squares

a map of a forest drawn on a grid of 1 cm squares

a map of a forest drawn on a grid of 1 cm squares

(a) Estimate the area of the map in square centimeters
(b) If the scale of the map is 1: 50,000 estimate the area of the forest in hectares

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN05

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN22

13/6/2020

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

Two aeroplane P and Q leaves an airport at the same time. P lies on a bearing of 240⁰ at 900 km/ h while Q flies due east at 750 km/ h.

(a) Using a scale of 1 cm to represents 100km, make a scale drawing to show the position of the aeroplane after 40 minutes.
(b) Use the scale drawing to find the distance between the two aeroplane after 40 minutes.
(c) Determine the bearing
- (i) P from Q
- (ii) Q from P

ANSWERS

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN22

K.C.S.E Mathematics Q & A-MODEL 1997PPQN05

17/5/2020

There are two signposts A and B on the edge of the road. A is 400 m to the west of b. A tree is on a bearing of 060⁰ from A and a bearing of 330⁰ from B.
Calculate the shortest distance of the tree from the edge of the road.

K.N.E.C Marking Scheme

K.C.S.E Mathematics Q & A-MODEL 1996PP2QN20

16/5/2020

Four towns R, T, K and G are such that T is 84 km directly to the north R, and K is on a bearing of 295⁰ from R at a distance of 60 km. G is on a bearing of 340⁰ from K and a distance of 30 km. Using a scale of 1 cm to represent 10 km, make an accurate scale drawing to show the relative positions of the town.

Find
(a) The distance and the bearing of T from K
(b) The distance and the bearing G from T
(c) The bearing of R from G

K.N.E.C Marking Scheme

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN20

14/5/2020

The position of two A and B on the earth‟s surface are ( 36⁰N, 49⁰E) and ( 36⁰N, 131⁰W) respectively.

(a) Find the difference in longitude between town A and town B ( 2 marks)
(b) Given that the radius of the earth is 637⁰, calculate the distance between town A and town B.
(c) Another town, C is 84⁰ east of town B and on the same latitude as towns A and B. Find the longitude of town C.

MARKING SCHEME

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN21

12/5/2020

A part B is on a bearing of 080⁰ from a port A and at a distance of 95 km. A submarine is stationed at a port D, which is on a bearing of 200⁰ from AM and a distance of 124 km from B. A ship leaves B and moves directly southwards to an island P, which is on a bearing of 140 from A. The submarine at D on realizing that the ship was heading fro the island P, decides to head straight for the island to intercept the ship.

Using a scale of 1 cm to represent 10 km, make a scale drawing showing the relative positions of A, B, D, P. ( 2 marks)
Hence find

(i) The distance from A to D ( 2 marks)
(ii) The bearing of the submarine from the ship was setting off from B (1 mark)
(iii) The bearing of the island P from D ( 1 mark)
(iv) The distance the submarine had to cover to reach the island P ( 2 marks)

MARKING SCHEME

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN16

12/5/2020

The shaded region below represents a forest. The region has been drawn to scale where 1 cm represents 5 km. Use the mid – ordinate rule with six strips to estimate the area of forest in hectares.

4 Marks

marking scheme

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN9

11/5/2020