KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

THE TABLE BELOW SHOWS THE NUMBER OF STUDENTS IN EACH CLASS IN A SCHOOL. THE PERCENTAGE (%) OF THE STUDENTS IN EACH CLASS WHO WEAR GLASSES IN ALSO SHOWN.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 24

Make V the subject of the formula:

MARKING SCHEME

The sum of the first two terms of an increasing Geometric Progression (GP) is 20. The sum of the second term and the third term of the same GP is 30.
Determine the common ratio of the GP. (4 marks)

​A flour milling company has two types of flour for making porridge; maize flour and millet flour. Maize flour costs Ksh 60 per kilogram and millet flour costs Ksh 90 per kilogram. The milling company makes a new brand of flour by mixing maize flour and millet flour. If the new brand costs ksh 85 per kilogram, determine the percentage of maize flour in the mixture. (3 marks)

​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 23 ON MATRIX

Three business partners, Kosgei, Kimani and Atieno contributed Ksh 1 750 000 towards an investment. Kosgei contributed 20% of the money. Kimani and Atieno contributed the remainder in the ratio 3:5 respectively.
(a)
(i) Calculate the amount of money Kimani contributed. (2 marks)
(ii) Find the ratio of the contributions by the three partners. (2 marks)

(b) The money earned a compound interest at a rate of 8% per annum. After 3 years, the partners withdrew the interest and donated 10% to a charitable organisation. The partners then shared the remainder in the ratio of their contributions.
Calculate the amount of money, to the nearest shilling, that each partner received. (6 marks)

​Given that sin(θ+30°)=cos2θ, find the value of cos(θ+40°). (3 marks)

Answer

​Using the grid provided below, solve the simultaneous equations.
x-4y = -5
-x+2y= 1
(3 marks)

Answer

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 5

ANSWER

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

​K.N.E.C Marking Scheme

Two variables P and L are such that P varies partly as L and partly as the square root of L. Determine the relationship between P and L when L = 16, P = 500 and when L = 25, P = 800. 

​5 marks

marking scheme

A bag contains 5 red, 4 white and 3 blue beads. Three beads are selected at random without replacement. Find the probability that 

a) The first red bead is the third bead picked. (2mks) 
b) The beads selected were, white and blue: (2mks)
    i) In that order 
    ii) In any order (2mks) 
c) No red bead is picked (2mks) 
d) Beads picked are of the same colour. (2mks)

​A quantity P varies partly as Q and partly as the square root of Q, given that P=30 when Q=9, and P=14 when Q=16. Find P when Q=36.   (3mks)