QUESTIONS
Instructions to candidates: Answer all questions in section A
SECTION A (24mks) and SECTION B (36mks)
QUESTION # 1
(a) Find the value of X that satisfy the equation below:
X2-5x+6=0 (3mks)
(b) (i) show that x0=1 (3mks)
(iii) Find the values of (32)2/5 (2mks)
(ii) Given that log2=0.3010 (3mks)
Log3=0.4771
Find log 72
(c) (i) Find the next three terms of :1,3,5,7,_,_,_,
(6mks)
(d) The cost of the land in the year 2013 was 5,000,000.00.At the end of each year, the land
value increases by 2%.What will be the value of the land by the end of the year 2015.
(4mks)
(e) Evaluate:
5P3 (3mks)
SETCION B (36mks)
QUESTION # 2
(a) The 20th term of an arithmetic sequence is 60 and the 16th term is 20.Find the first term
and the common difference. (5mks)
(b) The first term of a G.P. is x+1.If the third term of the same sequence is (x+1) (x2-2x+1)
Show that the second term is x2 -1. (5mks)
2
(c) The 2nd, 4th and 7th terms of an A.P. are the first three consecutive terms of a G.P., if the
common difference of the AP is 2. (8mks)
Find:
i) the common ratio
ii) The sum of the first eight terms of the G.P.
QUESTION # 3
(a) Find the value of x in
152x-6 =32x-6 (6mks)
(b) 22x+3(2x)-4=0 (6mks)
(c) There are two competing financial institutions A and B.A offers a simple interest services
to the clients and B offers a compound interest services to the clients given that the rates
for the two institutions are the same. Lilian and Evans decided to deposit 10,000 each, in
institution A and institution B respectively at the rate of 8% p.a. Find the difference in
their accounts (6mks)
QUESTION # 4
(a) Find the x-intercept for the graph of each function given below:
(i) f(x)=x2+2x-3 (3mks)
2
(ii) g(x)=x +2x-1 (3mks)
(b) Given that COSβ=4 /5 find:
(i) cos2β+sin2β (4mks)
(ii) cos2β+tanβ/4sinβ (2mks)
(c) Convert the following :
(i) 3/5πc to degrees (2mks)
(ii) 720₀ to radians (2mks)
3
QUESTION # 5
(a) John has 8 friends. In how many ways can he invite one or more of them to a dinner
(4mks)
(b) (i)How many different signals can be made by 5 flags from 8 flags of different colors?
(6mks)
(c) Show that :
(i) a0=1 (4mks)
(ii) find the values of X in 9(2x-4)=6(2x-4) (4mks)
