RICCATTI BUSINESS COLLEGEEND-TERM EXAMS

COMPUTATIONAL MATHS

1. a) define the term index as used in mathematics(1mk)

b) State any two laws of indices (2mks)

c) Solve the equation (2x)(2x+1) = 8 for x (3mks)

d) Simplify (3mks)

e) Express log10 in terms of log 10a log10b and log 10c (3mks)

2. prove the following equation(3mks)

= (4mks)

3 a) differentiate between permutation and combination (2mks)

b) In how many different ways can the letters in the word borabora be arranged in order (2mks)

c) What is the total number of 4 digit numbers which can be formed from digits 12345,,6,7,8 and 9

i) if the repetitions are allowed (2mks)

ii) if repetitions are not allowed(2mks)

d) what is the number of different committees of 5 parents which can be formed from a group of 10 parents (3mks)

4.a) state binomial theorem (1mk)

b) Write down the 1st 5 terms of the expansion (1 + 1/2x)10 (5mks)

c) Write down the first four terms of each of the following expansions

i) (x+1)20 3rd term (2mks)

ii) ( ) 10 term t4 (3mks)

Page 1 of 2

4 a) convert the following

i) (0.625)10 to binary (3mks)

ii) 11102 to decimal (3mks)

b) Differentiate between hexadecimal number system and octal number systems(4mks)

6. In checking the density of a substance, 20 random samples gave the following results in grams/cm3

6.03,6.15,5.59,7.03,5.89,6.38,5.97,6.21,5.21,5.12,6.45,5.44,6.11,5.65,6.78,5.74,6.67,4.87,5.55.

Find the mean, median, mode and standard deviation of the density(density) (20mks)

7. a personal computer rating company sells five different computer models through 3 stall A,B and C in Nairobi. Inventory of each model in each stall is summarized in matrix M and the wholesale (W) and retail R. values of each model is as summarized in matrix N given below

a) What is the retail value of the inventory value at stall B?b) What is the wholesale value of the inventory at stall Cc) Interpret the matrix element in the matrix product MN and NM

Page 2 of 2