Category: Pythagoras Theorem

ATIKA SCHOOL

THE FIGURE BELOW SHOWS A CUBOID LABELLED abcdefgh. POINT O IS THE MID-POINT OF BD, AB=15CM, BC=8CM AND CF=5CM.

2/6/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 5

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A solid consists of a conical part, a cylindrical part and a hemispherical part. All the parts have the same diameter of 12 cm. The height of the cylindrical part is 15 cm and the slanting height of the conical part is 10 cm. (Тake л = 3.142)

22/5/2023

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A solid consists of a conical part, a cylindrical part and a hemispherical part. All the parts have the same diameter of 12 cm. The height of the cylindrical part is 15 cm and the slanting height of the conical part is 10 cm. (Тake л = 3.142).
Calculate the:
(a) height of the solid; (2 marks)
(b) surface area of the solid, correct to 1 decimal place; (4 marks)
(c) volume of the solid, correct to 1 decimal place. (4 marks)

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 18

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Find the distance round the figure given below.

20/11/2021

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Find the distance round the figure given below.

Worked solution

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K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.23

23/9/2020

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Form 3 Mathematics

The diagram below represents a cuboid ABCDEFGH in which FG= 4.5 cm, GH = 8cm and HC = 6 cm

Calculate:

(a) The length of FC ( 2 marks)

(b)

(i) the size of the angle between the lines FC and FH ( 2 marks)

(ii) The size of the angle between the lines AB and FH ( 2 marks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN09

15/9/2020

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Form 1 Mathematics

A garden is in the shape of a right angled triangle. The length of the shortest side is l7 m and the area of the garden is 346.8 m². Calculate the length of the longest side of the garden.

answer

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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN05

9/9/2020

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Form 2 Mathematics

A piece of wire is bent into the shape of an isosceles triangle. The base angles are each 48° and the perpendicular height to the base is 6 cm. Calculate,
correct to one decimal place, the length of the wire.

answer

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN06

7/6/2020

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN06

A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 30⁰ and the angle of elevation of the top of the window is 35⁰. Calculate the vertical distance.

(a) From A to the bottom of the window
(b) From the bottom to top of the window

ANSWER

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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN4

13/5/2020

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A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

MARKING SCHEME

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K.C.S.E Mathematics Q & A-MODEL 1995PP2QN20

12/5/2020

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A hillside is in the form of a plane inclined at an angle of 30⁰ to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.

(a) If a vehicle moves from A and B, what vertical height does it rise?
(b) D is another point on the hillside and is on the same height as B. Another height straight road joins and D and makes an angle of 600 with AB. C is a point on AD such that AC = ¾ AD.
Calculate
- (i) The length of the road from A to C
- (ii) The distance of CB
- (iii) The angle elevation of B and C

MARKING SCHEME

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

THE FIGURE BELOW SHOWS A CUBOID LABELLED abcdefgh. POINT O IS THE MID-POINT OF BD, AB=15CM, BC=8CM AND CF=5CM.

A solid consists of a conical part, a cylindrical part and a hemispherical part. All the parts have the same diameter of 12 cm. The height of the cylindrical part is 15 cm and the slanting height of the conical part is 10 cm. (Тake л = 3.142)

Find the distance round the figure given below.

Find the distance round the figure given below.

Worked solution

K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.23

Form 3 Mathematics

N.23

K.C.S.E Mathematics Q & A - MODEL 2017PP1QN09

Form 1 Mathematics

9

K.C.S.E Mathematics Q & A - MODEL 2015PP1QN05

Form 2 Mathematics

5

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN06

A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 30⁰ and the angle of elevation of the top of the window is 35⁰. Calculate the vertical distance.

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN4

A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN20

A hillside is in the form of a plane inclined at an angle of 30⁰ to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

​Find the distance round the figure given below.

Worked solution

Form 3 Mathematics

N.23

Form 1 Mathematics

9

Form 2 Mathematics

5

A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 300 and the angle of elevation of the top of the window is 350. Calculate the vertical distance.

​A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

A hillside is in the form of a plane inclined at an angle of 300 to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.

Categories

Archives

HIGH SCHOOL EXAMINATIONS

COLLEGE RESOURCES

FREE NOVELS

PRIMARY SCHOOL RESOURCES 8-4-4

PRIMARY SCHOOL RESOURCES CBC

Find the distance round the figure given below.

A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 30⁰ and the angle of elevation of the top of the window is 35⁰. Calculate the vertical distance.

A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

A hillside is in the form of a plane inclined at an angle of 30⁰ to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.