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  • kcse form 2 mathematics questions

The figure below shows the path of a ray of light passing through a rectangular glass block placed in air

23/10/2021

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​The figure below shows the path of a ray of light passing through a rectangular glass block placed in air

Picture

​Calculate the refractive index of glass (2mks)

Picture



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Two capacitors of capacitance 2 μF 1μF are connected in parallel. A p.d of 3V is applied  across them. Find the energy stored in the combination.

23/10/2021

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Two capacitors of capacitance 2 μF 1μF are connected in parallel. A p.d of 3V is applied  across them. Find the energy stored in the combination.  (2mks)

Picture



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The figure below shows an object placed in front of a concave mirror. By use of correct ray diagram, locate the position of image

23/10/2021

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​The figure below shows an object placed in front of a concave mirror. By use of correct ray diagram, locate the position of image

Picture

Solution

Picture



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The figure bellows shows a wave profile for a wave whose frequency is 2HZ

23/10/2021

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The figure bellows shows a wave profile for a wave whose frequency is 2HZ

Determine the value of t3(s) (2mks)

Picture

Solution

Picture



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The figure below shows two parallel magnets with unlike poles adjacent to each other. Sketch the magnetic field pattern around the magnets

23/10/2021

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​The figure below shows two parallel magnets with unlike poles adjacent to each other. Sketch the magnetic field pattern around the magnets (2mks)

Picture

Solution

Picture



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Give two advantages of a circuit breaker instead of a fuse in domestic  wiring

21/10/2021

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Give two advantages of a circuit breaker instead of a fuse in domestic  wiring (2mks)

  • It disconnects current immediately unlike the fuse that takes time  to melt
  • It is not damaged 



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​State the conditions for generation of e.m.f from a magnet

21/10/2021

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​State the conditions for generation of e.m.f from a magnet (2mks)

  • Relative movement of magnet and coil/charge of flux
  • Complete circuit



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The following is a part of a radio-active series

20/10/2021

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​The following is a part of a radio-active series

Picture

​Identify the radiation r, find the values of c and d (3mks)

r

​r is βeta particle

c

​c is 206

d

​d is 82



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​State two uses of optical fibres whose working relies on total internal reflection

20/10/2021

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​State two uses of optical fibres whose working relies on total internal reflection (2mks)

  1. Communicating data
  2. Endoscope (inspection of internal organs)



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​Give a reason why gases are poor transmitters of sound

20/10/2021

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​Give a reason why gases are poor transmitters of sound (1mk)

​Molecules in gases are much further apart



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Other than penetrating powers, state two differences between soft and hard X-rays

20/10/2021

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​Other than penetrating powers, state two differences between soft and hard X-rays (2mks)

  • Hard X-ray have short wavelength and are produced at high voltages (1mk)
  • Soft X-rays have longer wavelength and are produced at lower voltages (1mk)

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Two mirrors are inclined at 60 degrees centigrade to each as shown:

20/10/2021

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Two mirrors are inclined at 60o to each as shown:

Two mirrors are inclined at 60 degrees centigrade to each as shown:


Complete the ray diagram to show how it travels after striking the two mirrors and find the angle of reflection on each surface (2mks)

Solution

Picture

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A student holds a sheet of paper at an end so that it hangs in the position A as shown below

17/10/2021

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A student holds a sheet of paper at an end so that it hangs in the position A as shown below
A student holds a sheet of paper at an end so that it hangs in the position A as shown above

​Explain why the paper rises to the position B when the student blows  air in the direction shown by the arrow (2mks)

There is pressure difference created as a result of air blown above  the paper i.e. high velocity , low pressure

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K.C.S.E Physics Q & A - MODEL 2019PP1QN13

31/7/2020

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​

K.C.S.E Physics Q & A - MODEL 2019PP1QN13

Picture
​ Two boxes E and F of masses 2.0 kg and 4.0 kg respectively arc dragged along a frictionless surface using identical forces. State with a reason which box moves with a higher velocity.
answer
  • E (20N)
  • F = Ma, the smaller the mass, the higher the acceleration 
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K.C.S.E Physics Q & A - MODEL 2019PP1QN12

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN12

Figure 5 shows two springs C and D of the same length and equal number of turns made from the same wire.
Picture
​State with a reason which of the two springs can support a heavier load before attaining the elastic limit.
answer
  • C 
  • It has a smaller diameter hence a higher spring constant. 
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K.C.S.E Physics Q & A - MODEL 2019PP1QN11

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN11

Picture

A stone of volume 800 cm3 experiences an upthrust of 6.5N when fully immersed in a certain liquid. Determine the density of the liquid.

answer
Picture
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K.C.S.E Physics Q & A - MODEL 2019PP1QN10

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN10

​For a fluid flowing at a velocity V in a tube of cross-sectional area A, VA =constant. State two assumptions made in deriving this equation. 
Picture
answer
The assumptions are: the fluid is
  • (i) flowing steadily,
  • (ii) incompressible,
  • (iii) non-Viscous.
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State the meaning of the term “radian” as a Unit of measurement.

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN09

State the meaning of the term “radian” as a Unit of measurement.

State the meaning of the term “radian” as a Unit of measurement. (1 mark)
answer
State the meaning of the term “radian” as a Unit of measurement. (1 mark)
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K.C.S.E Physics Q & A - MODEL 2019PP1QN08

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN08

​Figure 4 shows a one meter long uniform rod of negligible weight supporting two weights.
Picture
​Determine the position of the fulcrum from 0 cm for the  rod to remain in equilibrium.
answer
Picture
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A student carrying a heavy box using the right hand is observed to lean towards the left hand side. Explain this observation.

31/7/2020

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

A student carrying a heavy box using the right hand is observed to lean towards the left hand side. Explain this observation.

A student carrying a heavy box using the right hand is observed to lean towards the left hand side. Explain this observation.
answer
  • The box shifts the position of the center of gravity of the system towards the right hand to maintain equilibrium. The student leans in the opposite direction.
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K.C.S.E Physics Q & A - MODEL 2019PP1QN06

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN06

​On the axes provided, sketch a displacement — time graph for a trolley moving down a frictionless inclined plane till it reaches the end of the incline.
​On the axes provided, sketch a displacement -- time graph for a trolley moving down a frictionless inclined plane till it reaches the end of the incline.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2019PP1QN05

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN05

​Figure 3 shows two metal rods A and B of equal length made of the same material but different diameters wax is attached at one end  of each rod. A source of heat is placed between the two metal rods.
​Figure 3 shows two metal rods A and B of equal length made of the same material but different diameters wax is attached at one end of each rod. A source of heat is placed between the two metal rods.
​State with a reason, what is observed on the wax. 
answer
  • Wax on rod B drops off first. 
  • The thicker rod conducts heat faster than the thinner one.
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K.C.S.E Physics Q & A - MODEL 2019PP1QN04

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN04

​Figure 2 shows a round bottomed flask containing a coloured liquid. The flask is fitted with a capillary tube.
Picture
​It is observed that on holding the flask with bare hands, the level of the liquid in the capillary tube initially drops slightly and then rises. Explain this observation. 
answer
  • The flask absorbs heat from the hands and first expands hence level of liquid which expands more than the glass causing the rise.
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State two ways of reducing the surface tension of a liquid.

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN03

State two ways of reducing the surface tension of a liquid.

Picture
answer
  • Using detergents/impurities
  • Raising the temperature
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K.C.S.E Physics Q & A - MODEL 2019PP1QN02

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN02

​Figure 1 shows a defective straw used to suck milk from a glass.
Picture
​It was observed that upon sucking the straw, milk did not rise up the straw. Explain this observation. 
answer
  • On sucking air rushes into the straw through the hole making it difficult to reduce pressure in the straw by sucking.
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