Welcome to your Sat maths 2005
Section One: Quantitative reasoning (Questions 1-25)
Directions: Solve each of the problems given in questions 1-25 below and select the best answer from the given alternatives.
1.
If x=3 is one solution to the equation x2 + rx - 20 = 4, then r =
2.
Which of the following expression has an even integer value for all integers a and c?
3.
Which of the following numbers DOES NOT have a reciprocal?
4.
Which of the following is equal to the fraction (c + x)/x?
5.
Which of the following has the greatest value?
6.
If the perimeter of a triangle is 18 then the length of one of the sides CANNOT be
7.
If y= a/(a + b) and x = a/b what is y in terms of x?
8.
If the value of the following expression [(l + m/n) - (0/p)] is be halved by doubling exactly one of the five numbers l, m, n, o or p, which one should be doubled?
9.
if x > 0 and 2x - 1= 0.5(x+1) then x=
10.
If the sum of 30, 50 and y is 180 then the average (arithmetic mean) of 30,50 and y is:
11.
Which of the following fractions has the smallest value?
12.
If a radius of a circle inscribed in a square is k then the perimeter of the square is
13.
What is the greatest common factor of 42, 126 and 210?
14.
If n = 3 what is the value of 22n + 1?
15.
In a group of 15, 7 can speak English 8 can speak Arabic and 3 can speak neither. What fraction of the group can speak both English and Arabic?
16.
A triangle has a base b and an altitude a. A second triangle has a base twice the altitude of the fist triangle and an altitude twice the base of the fist triangle. What is the area of the second triangle?
17.
A certain machine fills a bag with 7kg of potato chips in 3.5 seconds. At this rate how many seconds will it takes the machine to fill a bag with 15kg of potato chips?
18.
A piece of paper with an area of 60 square centimetres is divide into two pieces so that the area of one is 2/3 of the area of the other. What is the area of one of the pieces (in square centimetre)?
19.
Sales for a business were 3 million dollars more the second year than the first and sales for the third year were 38 million dollars what were sales in millions of dollars for the first year?
20.
Data Interpretation (20 � 25)
Questions 20 � 25 below are based on the hypothetical data given in Table 1.
Table 1. Total population Primary school age population and School Enrolment by sex and Region in thousands.
| Region | Total population | School Age Population | School Enrollment |
| Male | Female | Male | Female | Male | Female |
| Addis Ababa | 1,387 | 1,500 | 162 | 166 | 220 | 267 |
| Afar | 756 | 603 | 141 | 114 | 34 | 22 |
| Amhara | 9,309 | 9,317 | 1,913 | 1,887 | 1,711 | 1,572 |
| Oromia | 12,883 | 12,934 | 2,709 | 2,670 | 2,734 | 2,099 |
| SNNPR | 7,203 | 7,287 | 1,522 | 1,500 | 1,474 | 1,113 |
| Somali | 2,268 | 1,950 | 445 | 389 | 157 | 95 |
| Tigray | 2,080 | 2,143 | 443 | 431 | 447 | 436 |
| Total | 35,886 | 35,734 | 7,335 | 7,157 | 6,777 | 5,604 |
21.
Which is NOT correct interpretation of the data in Table1?
22.
The total male population in million in the seven regions is nearly:
23.
The three least population regions in order are:
24.
Assuming that the total population of the country at the time the above data is taken is 73 million what is the share in percent of the population of Amhara and Oromia together?
25.
Questions 24 � 25 below are based on the hypothetical data given in Table 2.
Table 2. Expenditures of a Company (in million Birr) per annum in Years.
| Year | Item of expenditure |
| Salary | Fuel and
Transport | Bonus | Interest on Loans | Taxes |
| 2006 | 288 | 98 | 3.00 | 23.4 | 83 |
| 2007 | 342 | 112 | 2.52 | 32.5 | 108 |
| 2008 | 324 | 101 | 3.84 | 41.5 | 74 |
| 2009 | 336 | 133 | 3.68 | 36.4 | 88 |
| 2010 | 420 | 142 | 3.96 | 49.4 | 98 |
26.
What is the total expenditure of the company over these items during the year 2008?
27.
The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
