Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
Running head: RISK ASSESSMENT
1
Risk Assessment
SanGrafix Company
Name:
Tutor:
College:
Course:
Date:
Risk Assessment; SanGrafix Company
RISK ASSESSMENT
2
Presented herein is a risk assessment for SanGrafix Company. Already, the company has a
business con
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
But why smiling man her imagine married. Chiefly can man her out believe manners cottage colonel
unknown. Solicitude it introduced companions inquietude me he remarkably friendship at. My almost or
horses period. Motionless are six terminated man possessi
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
MATHEMATICS PAPER 121/2 K.C.S.E 1997 QUESTIONS
SECTION 1 (52 Marks)
Answer all questions in this section
1. evaluate without using mathematical tables
1.9 x 0.032
20 x 0.0038
2. Mary has 21 coins whose total value is Kshs 72. There are twice as many five
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
9.
Given that A = 1 3 B 3 1, C = p 0 and AB = BC, determine the value of P
5 3
5 1
0 q
10.
The curve y= ax3 3x2 2x + 1 has the gradient 7 when x=1. Find the value of a
11.
Find the value of between 00 and 3600 satisfying the equation 5 sin = 4
12.
A busi
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
8 10
4
11 13
7
14 16
11
17 19
15
20 22
8
23  25
5
Calculate
(a) The mean
(b) (i) the variance
(ii) The standard deviation
18.
( 8 marks)
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
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
SECTION II (48 MARKS)
Answer any six questions from this section
17.
A company is to construct a parking bay whose area is 135m 2. It is to be covered with
concrete slab of uniform thickness of 0.15. To make the slab cement. Ballast and sand are to
be mix
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
1. A pyramid of height 10cm stands on a square base ABCD of side 6 cm
(a) Draw a sketch of the pyramid
(b) Calculate the perpendicular distance from the vertex to the side AB
2. Find the value of m in the following equation
()
m
X (81)1 = 243
3. Use the
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
(a) On the grid provided, draw the inequalities and shade the
Unwanted region
( 3 marks)
(b) 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 mi
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
SECTION II (48 MARKS)
Answer six questions from this section
17.
The figure below shows a portable kennel
(a) Calculate
(i)
(ii)
The total surface area of the walls and the roof ( include the door as part of the
wall)
The total area of the roof
(b) The co
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
MATHEMATICS PAPER 121/1 K.C.S.E 1997 QUESTIONS
SECTION 1 ( 52 marks)
Answer all the questions in this section
1.
Use logarithms to evaluate
( 1934)2 x 0.00324
436
2.
Find the greatest common factor of x3y2 and 4 xy4. Hence completely the expression x3 y2
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
SECTION II ( 48 Marks)
Answer any six questions from this section
17.
A retailer bought 49kg of grade 1 rice at Kshs. 65 per kilogram and 60 kg of grade II rice at Kshs
27.50 per kilogram. He mixed the tow types of rice.
(a) Find the buying price of one k
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
1.
(i)
State the ratio AQ:QC
(ii)
Calculate the length of QC
If 14
_
7 
14
_ =
2
a 7
+ b
2
7 + 2
Find the values of a and b where b are rational numbers
2. The table below represents the mean scores in six consecutive assessment tests given a form
four c
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
Rule 1: Each new tree must be an equal distance from both trees A and B.
Rule 2: Each new tree must be atleast 4 m from the edges of the garden.
Rule 3: each new tree is atleast 14 m from tree B.
(a) draw the locus given by each of these rules on the diag
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
equations y = 6 + x  x2
y = 2 2x
(c) Write down and simplify a quadratic equation which is satisfied by the
values of x where the two graphs intersect.
17.
The water supply in a town depends entirely on two water pumps. A and B. The probability
of pump A
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
(a) Given that OA = a and OB = b, express in terms of a and b:
(i) AN
(ii) BM
(b) If AX = s AN and BX = tBM, where s and t are constants, write two expressions
for OX in terms of a,b s and t
Find the value of s
Hence write OX in terms of a and b
1. A plan
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
23.
24.
A triangular plot ABC is such that the length of the side AB is two thirds that of BC. The ratio of
the lengths AB:AC = 4:9 and the angle at B is obtuse.
a)
The length of the side BC
b)
i)
The area of the plot
iii)
The size of <ABC
A man who can s
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
23.
The transformation R given by the matrix
A=
a b maps
c d
17
to
0
15
0
to
8
17
8
15
(a) Determine the matrix A giving a,b,c and d as fractions
(b) Given that A represents a rotation through the origin determine the angle of rotation
(c) S is a rotatio
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
(b)
Draw the locus of point P such that P is equidistant from a point O and
passes though the vertices of triangle.
(c)
Locate point D on the locus of P equidistant from lines BC and BO. Q lies in the region
enclosed by lines BD, BO extended and the locus
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
MATHEMATICS PAPER 121/1 K.C.S.E 2000
QUESTIONS
SECTION 1 (52 Marks)
Answer all the questions in this section
1. Evaluate 28 (18) 15 (2) (6)
2
3
2. Simplify the expression 3a2 + 4ab+ b2
4a2 + 3ab b2
3. In the figure below ABCD is a rectangular pentago
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
10. Three representatives are to be selected randomly from a group of 7 girls and 8
boys. Calculate the probability of selecting two girls and one boy.
11. Use the logarithms to evaluate 3 1.23 x 0.0089
76.54
12. Find the value of x which satisfy the equa
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
(b)
Vector OS can be expressed in tow ways: mOQ or OT + n TP, Where m and n are
constants express OS in terms of
(i)
m, n and r
(ii)
n, s and r
Hence find the:
20.
(iii)
Value on m
(iv)
Ratio OS: SQ
In the figure below, points O and P are centers of inter
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
MARKING SCHEME K.C.S.E.2002
MATHEMATICS PAPER 1
1.
Evaluate:  12 (3)x4 (20)
(3mks)
6x63 + (6)
2.
Simplify:
(x + 2y)2 (x 2y)2
3.
Make y the subject of the formula p = xy
(3mks)
xy
4.
The position vectors of points X and Y are x=2i + j 3k and y =3i +
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
MATHEMATICS PAPER 121/2 K.C.S.E 2000
QUESTIONS
SECTION 1 (52 Marks)
1. Find equation of the perpendicular to the line x + 2 y 4 and passes through point (2,1)
2. A passenger noticed that she had forgotten her bag in a bus 12 minutes after the bus had left
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
MATHEMATICS PAPER 121/1 K.C.S.E 2001
QUESTIONS
SECTION 1 ( 52 Marks)
Answer all the questions in this section
1. Find the reciprocal of 0.342. Hence evaluate:
0.0625
0.342
2.
The figure below represents a kite ABCD, AB = AD = 15 cm. The diagonals BD and A
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
SECTION II (48 Marks)
Answer any six questions in this section
17.
The table shows income tax rates
Monthly taxable pay
Rate of tax Kshs in 1 K
1 435
2
436 870
3
8711305
4
1306 1740
5
Excess Over 1740
6
A company employee earn a monthly basic salary of K
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
SECTION II ( 48 Marks)
Answer any six questions in this section.
17.
18.
A helicopter is stationed at an airport H on a bearing 060 o and 800km from another airport P.A
third airport is J is on bearing of 140 0 and 1,200km from H.
a)
Determine:
i)
Value o
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
SECTION II (48 Marks)
Answer any six questions from this section
17. A construction company requires to transport 144 tonnes of stones to sites A and
B. The company pays Kshs 24,000 to transport 48 tonnes of stone for every 28
km. Kimani transported 96 to
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
1 4,512
2
4513 9024
3
9025 13536
4
13537 18048
5
18049 22560
6
Over 22560
6.5
In that year Muhando earned a salary of Ksh.16510 per month. He was entitled to a monthly tax
relief of Kshs 960.
Calculate:
19.
a)
Muhandos annual salary in K
b)
The monthly
Emerson College of Business and Commerce, Abbottabad
microeconomics
EC 402

Spring 2016
MATHEMATICS PAPER 121/2
QUESTIONS K.C.S.E 2002
1.
Use logarithms to evaluate
(0.0056)2
1.38x27.42
2.
Kipketer can cultivate a piece of land in 7 hours while Wanjiku can do the same work in 5 hours.
Find the time they would take to cultivate the piece of l