THE PRESIDENT’S OFFICE

MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

COMPETENCE BASED  SECONDARY EXAMINATION SERIES

ANNUAL  EXAMINATION

FORM TWO

BASIC MATHEMATICS

       041                                                                      

TIME: 2:30 HOURS                                                      November, 2021

Instructions

1.      This paper consists of ten (10) compulsory questions.

2.      Answer ALL questions

3.      Each question carries ten (10) marks.

4.      Show clearly all the workings and answers in the spaces provided.

5.      All writings must be in blue or black ink except for drawings which must be in pencil.

6.      Four figures/mathematical tables, geometric instruments and graph papers may be used where necessary.

7.      Calculators, cellular phones and any unauthorized materials are not allowed in the examination room.

8.      Write Your Examination Number at the top right corner of every page.

1.      (a) Three bells ring at intervals of 20 minutes, 30 minutes and 40 minutes. If they start            ringing together at 7.30 am

(i)                 After how long will they ring together again?

(ii)              At what time will this be?

(b)       Round off 349.678 to the nearest.

(i)               Tens

(ii)            Hundredth

(iii)          One significant figure

2.      (a) Write  in form of  , where b ? 0.

(b)       In a class of 40 students  are boys. Two fifth of the girls wear spectacles.

How many girls do not wear spectacles?

 3.      (a)  Perform:

(b)       Find the time in which sh 200,000/= will earn sh 48,000/= at the rate of 4% interest per annum.

4.      (a) Calculate the angles marked with letters X, Y and Z.

(b)       Find the area of rectangle whose perimeter is 30cm and its length and width are  (3W-7) cm and (W+2) cm respectively.

5.      (a) Factorize the expression

6x² – 11x + 4 by splitting the middle term.

(b)       The sum and difference of the two numbers are 9 and 3 respectively.  Find the possible numbers.

6.      (a) (i)         Find the equation of the straight line passing through (3,5) and (7,9).

                (ii)       Calculate the gradient and coordinates of the y-intercept of 2x+3y=12.

(b)       Find the image of a point (-4, 3) after a reflection on y-axis followed by  another reflection on y=0.

7.      (a) If ^-4x+2 = ⁹. Find the value of X.

(b)       Rationalize writing the answer in the form a where a, b, c and d  are real.

(c)       Given log2 = 0.3010, log3 = 0.4770 and log7 = 0.8451. Find the value of log294.

8.      (a) Calculate the length of EC and CD in figure below:

              B                                                                           D

                                                                          E                                                                       

8.                  (b)       Use the figure below to prove that triangle ADB? Triangle ADC

                                                            A

                          C                               D                                       B

9.                  (a) A rectangle has sides of 12mm and 16mm. Calculate the length of one of its     diagonals.

(b) Calculate the exact value of   .

10.              (a)        In the Venn diagram below:

U = { Boys in form II at a certain secondary school}

F =  { Members in the football team}

(i)                 How many boys are in the football team?

(ii)              How many boys are in both teams?

(iii)            How many are in the football team but not in the basketball team?

(iv)             How many are neither basketball nor football team?

(v)               How many boys in form II at the school?

10.       (b)       The table below shows the distribution of the score of 60 students in    Mathematics table at MJI MWEMA secondary school.

(i)                 Find the value of X.

(ii)              Find the percentages of the student score ate most 77 marks.