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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS


Topically Analysed


Form 3
Form 2
Form 4
Form 1

The figure below is a cone whose base radius is 3.5cm and slant height 7cm.  The net of the cone is a sector of a circle.

21/11/2021

Comments

 

​The figure below is a cone whose base radius is 3.5cm and slant height 7cm.  The net of the cone is a sector of a circle.

The figure below is a cone whose base radius is 3.5cm and slant height 7cm. The net of the cone is a sector of a circle.

​(a) Find the angle subtended at the centre of the sector.   (2mks)

Find the angle subtended at the centre of the sector.

(b) Draw the net of the solid.               (1mk)

Draw the net of the solid.



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Comments

The figure above is a triangular prism of uniform cross – section in which AF = 4cm, AB = 5cm and BC = 8cm.

24/10/2021

Comments

 

​The figure above is a triangular prism of uniform cross – section in which AF = 4cm, AB = 5cm and BC = 8cm.

The figure above is a triangular prism of uniform cross – section in which AF = 4cm, AB = 5cm and BC = 8cm.

a) If a triangle BAF = 300, calculate the surface area of the prism (3mks)

b) Draw a clearly labelled net of the prisms (1mk)

Worked Answer:

Picture

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K.C.S.E Mathematics Q & A - MODEL 2005.PP2.QN.15

22/9/2020

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Form 1 Mathematics



The figure below represents below represents a prism of length 7 cm AB = AE = CD = 2 cm and BC – ED = 1 cm

Draw the net of the prism ( 3 marks)

Picture
Answers
Picture

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K.C.S.E Mathematics Q & A - MODEL 2004.PP2.QN.24

16/9/2020

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Form 2 Mathematics



The figure below shows a model of a roof with a rectangular base PQRS PQ = 32 cm and QR = 14 cm. The ridge XY = 12 cm and is centrally placed. The faces PSX and QRY are equilateral triangles M is the midpoint of QR.

Picture

Calculate 

(a) 

(i) the length of YM 

(ii) The height of Y above the base PQRS 

(b) The angle between the planes RSXY and PQRS 

(c) The acute angle between the lines XY and QS

Answer
Picture

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K.C.S.E Mathematics Q & A - MODEL 2004.PP2.QN.11

14/9/2020

Comments

 
In the figure below ABCDE is a cross- section of a sold. The solid has uniform cross- section. Given that BG is a base edge of the solid, complete the sketch, showing the hidden edges with broken lines.
Picture
Answer
Picture

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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN04

12/9/2020

Comments

 

Form 1 Mathematics


The figure below shows a net of a solid (measurements are in centimeters)
Picture
Below is a part of the sketch of the solid whose net is shown above. Complete the sketch of the solid, showing the hidden edges with broken lines
Picture
answer
Picture

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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN03

12/9/2020

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Form 1 Mathematics


The external length, width and height of an open rectangular container are 41 cm and 15.5 cm respectively. The thickness of the materials making the container is
5mm. if the container has 8 lit res of water, calculate the internal height above the water level.
answer
Picture

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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN07

10/9/2020

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Form 1 Mathematics


Below is part of a sketch of a solid cuboid ABCDEFGH. Complete the sketch
Picture
answer
Picture

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K.C.S.E Mathematics Q & A - MODEL 2014PP1QN04

7/9/2020

Comments

 

Form 1 Mathematics


The figure below represents a triangular prism ABCDEF. X is a point on BC.
Picture
(a) Draw a net of the prism. 
(b) Find the distance DX.
answer
Picture

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K.C.S.E Mathematics Q & A - MODEL 2013PP1QN10

2/9/2020

Comments

 

Form 1 Mathematics


The figure below shows a net of a solid. (Measurements are in centimeters).
Picture
Below is a part of the sketch of the solid whose net is shown above. Complete the
sketch of the solid, showing the hidden edges with broken lines.
Picture
answer
Picture

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Comments

K.C.S.E Mathematics Q & A - MODEL 2002PP2QN020

30/8/2020

Comments

 

Form 1 Mathematics


The figure VPQR below represents a model of a top of a tower. The horizontal base PQR is an equilateral triangle of side 9cm. The lengths of edges are VP = VQ = VR = 20.5cm. Point M is the mid point of PQ and VM = 20cm. Point N is on the base and vertically below V.
Picture
Calculate:
a)    i)    Length of RM
       ii)    Height of model
       iii)    Volume of the model
b)    The model is made of material whose density is 2,700 kg/m3. Find the  Mass of the model.
aNSWER
Picture

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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN006

28/8/2020

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Form 1 Mathematics



The figure below represents a square based solid with a path marked on it.
Picture
​Sketch and label the net of the solid
Answer
Picture

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K.C.S.E Mathematics Q & A - MODEL 1999PP2QN08

30/6/2020

Comments

 

Form 1 Mathematics


The figure below shows a solid made by passing two equal regular tetrahedra.
Picture
  • (a) Draw a net solid
  • (b) If each face is an equilateral triangle of side 5 cm find the surface area of the  solid
Answer
Picture

Related Questions


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K.C.S.E Mathematics Q & A - MODEL 1997PP2QN10

30/5/2020

Comments

 
K.C.S.E Mathematics Q & A - MODEL 1997PP2QN10

​On the surface of a cuboid ABCDEFGH a continuous path BFDHB is drawn as shown by the arrows below

surface of a cuboid
  • ​(a)Draw and label a net of cuboid
  • (b)On the net show the path

ANSWERS
Picture
Comments

K.C.S.E Mathematics Q & A - MODEL 1997PP2QN06

26/5/2020

Comments

 
K.C.S.E Mathematics Q & A

A pyramid  of height 10 cm stands on a square base ABCD of side 6 cm
  • (a)Draw a sketch of the pyramid
  • (b)Calculate the perpendicular distance from the vertex to the side AB

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Picture
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