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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 1996PP2QN24

16/5/2020

Comments

 

Data collected form an experiment involving two variables X and Y was recorded as shown in the table below.

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The variables are known to satisfy a relation of the form y = ax3+ b where a and b are constants

  • (a) For each value of x in the table above, write down the value of x3 ( 2 marks)
  • (b)
    • (i) By drawing a suitable straight line graph, estimate the values of a and b ( 2 marks)
    • (ii) Write down the relationship connecting y and x

​K.N.E.C Marking Scheme
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Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP2QN23

16/5/2020

Comments

 

Complete the table given below using the functions.

Y = −3 cos 2x0 and y = 2 sin (3⁄ 2 x0+ 300) for 0 < x < 1800

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​K.N.E.C Marking Scheme
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Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP2QN22

16/5/2020

Comments

 

​A school has to take 384 people for a tour. There are two types of buses available, type X and type Y. Type X can carry 64 passengers and type Y can carry 48 passengers. They have to use at least 7 buses.

  • (a) Form all the linear inequalities which will represent the above information ( 3 marks)
  • (b) On the grid provided, draw the inequalities and shade the Unwanted region ( 3 marks)
  • (c) the charges for hiring the buses are:
    Type X. Kshs 25000
    Type y: Kshs 20000
    Use your graph to determine the number of buses of each type that should be hired to minimize the cost.

​K.N.E.C Marking Scheme
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Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP2QN21

16/5/2020

Comments

 

Kubai saved Kshs 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the preceding year until he retired.

  • (a) How much did he save in the second year? ( 1 mark)
  • (b) How much did he save in the third year? ( 1 mark)
  • (c) Find the common ratio between the savings in two consecutive years ( 3 marks)
  • (d) How many years did he take to save the savings a sum of Kshs 58,000? ( 3 marks)
  • (e) How much had he saved after 20 years of service? ( 2 marks)

​K.N.E.C Marking Scheme
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Comments

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

16/5/2020

Comments

 

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
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Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP2QN19

15/5/2020

Comments

 

In an agricultural research centre, the length of a sample of 50 maize cobs were measured and recorded as shown in the frequency distribution table below.

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Calculate
  • (a) The mean
  • (b)
    (i) the variance
    ​(ii) The standard deviation (8 marks)

MARKING SCHEME
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Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP2QN18

15/5/2020

Comments

 

In the figure below AOC is a diameter of the circle centre O; AB = BC and ∠ACD = 250, EBF is a tangent to the circle at B. G is a point on the minor arc CD.

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  • (a) Calculate the size of
    • (i) ∠BAD ( 3 marks)
    • (ii) the Obtuse ∠BOD ( 3 marks)
    • (iii) ∠BGD ( 1 mark)
  • (b) Show the ∠ABE = ∠CBF. Give reasons ( 2 marks)

MARKING SCHEME
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Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP2QN17

15/5/2020

Comments

 

Two businessmen jointly bought a minibus which could ferry 25 paying passengers when full. The fare between two towns A and B was Kshs 80 per passengers for one way. The minibus made three round trips between two towns daily. The cost of fuel was Kshs 1500 per day. The driver and the conductor were paid daily allowances of 200 and Kshs 150 respectively.
A further Kshs 4,000 per day was set aside for maintenance, insurance and loan payment.

  • ​(a) One day, the minibus was full on every trip.
    • (i) How much money was collected from the passengers that day?
    • (ii) How much was the net profit?
  • (b) On another day, the minibus was 80% full on the average for the three round trips, how much and each businessman get if the day‟s profit was shared in the ratio of 2: 3

marking scheme
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Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN23

14/5/2020

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