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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS


Topically Analysed


Form 3
Form 2
Form 4
Form 1

K.C.S.E Mathematics Q & A - MODEL 2002PP2QN024

31/8/2020

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Form 4 Mathematics



The displacement s metre of a particle moving along straight line after t seconds is given by. S = 3t + 3/2 t2 – 2t3
  • a) Find its initial acceleration
  • b) Calculate:
    • i) The time when the particle was momentarily at rest.
    • ii) Its displacement by the time it comes to rest momentarily
  • c) Calculate the maximum speed attained.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN023

31/8/2020

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Form 4 Mathematics



​a) Complete the table below, giving your values correct to 2 decimal place.
Picture

b) Using the grid provided and the table in part (a) draw the graphs of Y = tan Ө and y = sin 2Ө.
c) Using your graphs, determine the range of values for which tan Ө>Sin 2Ө for 00 ≤ Ө ≤ 900.
Answers
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN021

30/8/2020

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Form 4 Mathematics



The table below shows the values of x and corresponding values of y for a given curve.
Picture

a)    Use the trapezium rule with seven ordinates and the values in the table only to estimate the area enclosed by the curve, x – axis and the line x = П/2 to four decimal places. (Take П = 3.142) 

b)    The exact value of the area enclosed by the curve is known to be 0.8940.Find the percentage error made when the trapezium rule is used. Give the answer correct to two decimal places.

Answer
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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 2002PP2QN020

30/8/2020

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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
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN013

29/8/2020

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Form 3 Mathematics



The diagram below shows a circle ABCDE. The line FEG is a tangent to the circle at point E. Line DE is parallel to CG,
Picture
Picture
Answer
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN017

29/8/2020

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Form 1 Mathematics



A bus travels from Nairobi to Kakamega and back. The average speed from Nairobi to Kakamega is 80km/hr while that from Kakamega to Nairobi is 50km/hr, the fuel consumption is 0.35 litres per kilometer and at 80km/h, the consumption is 0.3 litres per kilometer .Find
  • i) Total fuel consumption for the round trip
  • ii) Average fuel consumption per hour for the round trip.
Answer
Picture

​Related Questions and Answers on Speed and Rates

CALCULATE MORE ...
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN015

29/8/2020

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Form 1 Mathematics



​In the diagram below, ABCD is a trapezium with AB parallel to DC. The diagonals AC and BD intersect at E.
Picture
  • a) Giving reasons show that triangle ABE is similar to triangle CDE.
  • b) Giving that AB = 3DC, find the ratio of DB to EB.
aNSWER
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN014

29/8/2020

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Form 3 Mathematics



Each month, for 40 months, Amina deposited some money in a saving scheme. In the first month she deposited sh 500. Thereafter she increased her deposits by sh.50 every month.
Calculate the:
  • a) Last amount deposited by Amina
  • b) Total amount Amina had saved in the 40 months.
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN008

28/8/2020

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Form 3 Mathematics



The sides of a triangle were measured and recorded as 8 cm, 10 cm and 15 cm. Calculate the percentage error in perimeter, correct to 2 decimal places.
Answer
Picture

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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN009

28/8/2020

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Form 3 Mathematics



a) Expand (a – b)6
b) Use the first three term of the expansion in a (a) to find the approximate value of (1.98)6
Answer
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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 2002PP2QN007

28/8/2020

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Form 2 Mathematics



Solve for x in the equation:
Picture
Answer
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN011

28/8/2020

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Form 3 Mathematics



Simply the expression
Picture
Answer
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN005

26/8/2020

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Form 1 Mathematics



A trader sells a bag of beans for shs. 2100 and that of maize at shs. 1200. He mixed beans and maize in the ratio 3:2. Find how much the trader should sell a bag of the mixture to realize the same profit.
Answer:
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN019

24/8/2020

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Form 4 Mathematics



The following distribution shows the masses to the nearest kilogram of 65 animals in a certain farm
The following distribution shows the masses to the nearest kilogram of 65 animals in a certain farm
  • ​a) On the grid provided draw the cumulative frequency curve for the given information.
  • b) Use the graph to find the:-
    • i) Median mass
    • ii) Inter-quartile range
    • iii) Percentage of animals whose mass is at least 42kg.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN018

24/8/2020

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Form 3 Mathematics



The table below shows Kenyan tax rates in a certain year
Picture
In that year Muhando earned a salary of Ksh. 16510 per month. He was entitled to a monthly tax relief of Kshs 960.
Calculate:
  • a) Muhandos annual salary in K£
  • b) The monthly tax paid by muhando in Kshs.
aNSWER
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN016

24/8/2020

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Form 4 Mathematics



The equation of a circle is given by x2 + 4x +y2 – 5 = 0. Find the radius and the center of the circle.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN012

24/8/2020

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Form 1 Mathematics



Atieno and Kamau started a business by contributing sh. 25, 000 and sh. 20, 000 Respectively.
At the end of the year, they realized a profit of shs. 81, 000. The profit was allocated to development, dividends and reserves in the ratio 4:5:6 respectively. The dividends were the shared in the ratio of their contribution.
Calculate the dividends paid to Atieno.
Answer:
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN010

24/8/2020

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Form 3 Mathematics



The coordinates of points O,P,Q and R are (0,0)(3,4) (11,6) and (8,2) respectively. A point T is such that vectors OT,QP and QR satisfy the vector equation. OT = QP + ½ QR .Find the coordinates of T.
aNSWER
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN004

24/8/2020

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Form 3 Mathematics



Determine the inverse, 
Picture
Answer:
Picture

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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN003

24/8/2020

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Form 2 Mathematics



A triangular flower garden has an area of 28m2. Two of its edges are 14 metres and 8 metres. Find the angle between the two edges.
Answer:
Picture

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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN002

24/8/2020

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Form 1 Mathematics



Kipketer can cultivate a piece of land in 7 hours while Wanjiku can do the same work in 5 hours. Find the time they would take to cultivate the piece of land when working together.
Answer:
Picture

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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN001

24/8/2020

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Form 2 Mathematics



Evaluate:
Picture
Answer:
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K.C.S.E Mathematics Q & A - MODEL 2002PP1QN020

20/8/2020

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Form 4 Mathematics



The diagram below shows a straight line intersecting the curve y = (x-1)2 + 4
At the points P and Q. The  line also cuts x-axis at (7,0) and y axis  at (0,7)
  • a) Find the equation of the straight line in the form y = mx +c.
  • b) Find the coordinates of p and Q.
  • c) Calculate the area of the shaded region. (8mks)
Picture
Answer
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