Download Section Number: Question No. Earned Points Multiple Choice

Section Number:
Question No.
Multiple Choice
Questions
Essay Question 1
Earned Points
Essay Question 2
Essay Question 3
Essay Question 4
Essay Question5
Total
I. MULTIPLE CHOICE QUESTIONS (Worth 12 points).
You may solve all questions. Each question is worth 3 points. Your grade
in this part is that of the best 4 questions.
……………………………………………………………………………...
Q–1 Choose the option which gives 40:
(a) 20  (40  10)
(b) (20  40)  10 (c) (20  5)  10
(d) 20  (5  10) (e) none
………………………………………………………………………………...
Q–2: The mean of x-3,x,2x,2x-11 is equal to 4.What is x?
(a) 9
(b) 5
(c) 1/3
(d)49
(e) none
.…………………………………………………………………………………….
Q–3: The gradient of the line y=0.5x is:
1
(a) 2
(b) 50
(c) 0
(d)1/2
(e) none
……………………………………………………………………………..
Q–4: Which of the following expression that is not equal to 9 6 :
(a) 95  9
(b) 912
1
9
(c) ( ) 6
(d) 9 2  9 4
(e) none
...........................................................................................................................
3
5
Q-5: The y- intercept of the line y= x  2 is:
(a) 2
(b)
3
5
(c) -2
(d)
1
2
(e) none
………………………………………………………………………………...
II. ESSAY QUESTIONS (Worth 48 points).
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
You may solve all questions in this part. Each question is worth 12points.
Your grade in this part is that of the best 4 questions. Please show the details
of your work and not just the final answer.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Q–1: (2 points each) Answer the following questions.
a. Round 8.75 to the nearest tenth.
Answer: 8.8
3
5
b. Change 8 to an improper fraction.
Answer: 43/5
c. Change
39
to mixed number.
24
2
Answer: 1
15
24
d. Express 0.375 as a common fraction.
Answer: 0.375=
e. Express
375 3

1000 8
5
as a decimal.
8
Answer: 5/8 = 0.625
7
as a percent.
8
7
Answer: 100%  87.5%
8
f. Express
………………………………………………………………………………...
Q–2 (4 points each)
a. Modern furnishings spent 3.4% of its sales on advertising. If sales amounted
to $146,280 what amount was spent on advertising?
Answer:
3,4
 146,280  $ 4973.52
100
b. A hospital charges a patient $7.80 for capsules. How much should it charge for
18 capsules?
Answer:
No where in the question it mentions that capsules contain a dozen number of
pills… so the question should be solved as x = 7.80 and 18 x = $140.4
c. Simplify the expression -3x (-2x) – (-2x)x + 9x²
answer:
6x² + 2x² +9x² = 17x²
d. Without using calculator, write the following in scientific notation
(1.5 10 2 )  (7.5 10 3 )
Answer:
Here it should be7.5 x 10^-3 not 7.3 x 10^-3 so the answer should be 7.5 x 10^-3
(15 10 3 )  (7.3 10 3) (15  7.3) 10 3  7.7  10 3 (answer is in scientific
notation)
………………………………………………………………………………...
3
Q–3: (4 points each)
a. What annual rate of return needed to receive $960 in one year on an
investment of $12,000?
Answer:
960
100%  8%
12000
So the annual rate is 8%
b. At a business meeting there were 25 more women than men. The total number
of people at the meeting was 139.Find the number of men.
Answer:
Let x represent the number of men.
the Number of men + the number of women= total
x
+
(x+25)
2x +25 = 139 
= 139
 x  57
2x=114
c. Without using calculator, write the following in scientific notation
(6 10 9 )  (510 6 )
Answer:
(6  5)(10 9 10 6 )  30  10 3
= 3.0  10 4 (answer in scientific notation )
d. Simplify the expression 4x +0 .5yxt – 2(-0.5x)
answer:
4x+x+
1
1
yxt = 5x+ xyt
2
2
………………………………………………………………………………...
Q–4: (12 points)
a. (2 points) Solve the equation 6x-2=4x+10
Answer:
6x-2=4x+10  6x – 4x =10 +2  2x = 12  x=6
b.(2 points) Make y the subject of the equation z 
Answer:
4
x
y 1
x
 z(y+1) = x  zy + z = x
y 1
xz
Zy = x-z  y =
z
z
c. (2 points each)Write down the equation of the following lines.
i. The line that has slope 2 and y-intercept 3
Answer:
y = 2x +3
ii. The line that passes through the points (-2,5) and (4,8)
Answer:
85
3 1
 
4  (2) 6 2
1
1
y = mx +c  y  x  c  8  (4)  c  c  6
2
2
1
y = x 6
2
m=
iii. The line that is parallel to the x-axis and passes through the point (3,2)
Answer:
m=0, so the equation is y=2
iv. The line that is parallel to the y-axis and passes through the point (-3,4)
Answer:
m is not defined, so the equation is x=-3
………………………………………………………………………………...
Q–5 (4points each) Given the gross weekly earnings of ten school teachers(in
pounds) as shown below
165
188
233
275
147
350
249
200
a. Calculate the mean and the median.
Answer:
Mean =
130  147  .............  350
 226.7
10
130 147 165 188 200 233 249 275 330 350
Median =
200  233
 216.5
2
b. Calculate the lower quartile and the upper quartile.
Answer:
5
130
330
Lower quartile = 165
upper quartile = 275
c. Find the range and inter quartile range.
Answer:
Range = 350 – 130 = 220
Inter quartile range = 275 – 165 = 110
d. Find the standard deviation.
Answer:
From part a the mean=226.7
Data value
130
147
165
188
200
233
249
275
330
350
Deviations(d)
130-226.7= -96.7
147-226.7= -79.7
165-226.7= - 61.7
188-226.7= -38.7
200-226.7= -26.7
233-226.7= 6.3
249-226.7= 22.3
275-226.7=48.3
330-226.7= 103.3
350-226.7= 123.3
d
2
50464.1
 5046.41
10
10
So, the standard deviation is 5046.42 =71.038
The variance=

6
d²
9350.89
6352.09
3806.89
1497.69
712.89
39.69
497.29
2332.89
10670.89
15202.89