SAMPLE EXTRACT PAPER 2016
COMPETITIVE ENTRANCE EXAMINATION INTO FIRST YEAR OF THE FIRST CYCLE
ACADEMIC YEAR: 2015/2016
DEPARTMENT: MATHEMATICS
Instructions: Answer all the questions in section A and section B by selecting the most appropriate option that answers each MCQ. Write the letter (A, B, C or D) that corresponds to the most correct option in the Answer Booklet provided. Make sure you insert the question paper inside the answer Booklet before you leave the Examination Hall
Time allowed: 3 Hours.
SECTION 1: MAJOR PAPER: MATHEMATICS
Answer all questions
1. What is the complete solution to equation |3 – 6x| =15?
A) x = 2, x = 3 B) x = - 2, x = 3 C) x = 2, x = 13 D) x = -2, x= -3
2. What is the possible values of x in |12 – 4x| = 2?
A) x = , or x = B) <, x = C) > x > D) , or x =
3. What is the solution to the system of equations shown below?
A) (0, 4, 4,) B) (1, 4, 10/3) C) no solution D) infinitely many solutions
4. What is the solution to the following system of equation?
A) (5, - 2) B) (- 2, 5) C) ( -1, -2) D) (-2, -1)
5. The expression equals to: A) B) C) D) -
6. If 2x3+ x2 – 5x – 1 leaves a remainder 3 when divided by (2x + 1), then is:
A) -7 B) -5 C) 5 D) -1
7. The cubic equation 2x3 + x2 – 22X + 24 = 0 has roots a, β, and . The value of + is: A) 11/12 B) -11/12 C) 1/12 D) -1/2
8. If cosA = 3/5 and A is acute, then sin2A is equal to:
A) 6/25 B) 8/25 C) 12/25 D) 24/25
9. The tangent to the circle, C, with equation x2 + y2 + 4x – 10y – 5 = 0 at the point (3, 2) has equation:
A) 3x + 5y – 9 = 0 B) 5x – 3y – 9 = 0 C) 5x – 3y – 19 = 0 D) 3x + 5y + 19 = 0
10.
11. (-2x2 + 6x + 1) - 2(4x2 – 3x + 1) =
A) 6x2 – 1 B) -10x2 – 1 C) 6x2 + 12x – 1 D) -10x2 + 12x – 1
12. Two consecutive positive integers have the property that one integer times twice the other equals 612. What is the sum of these two integers? A) 33 B) 35 C) 37 D) 39
13. Lucas wants to create several different 7-character screen names. He wants to use arrangements of the first three letters of his first name (Luc, followed by arrangements of 4 digits in 1984, the year of his birth). How many different screen names can he create in this way? A) 72 B) 144 C) 288 D) 576
14. Ndong and Ngong are among 10 students who have applied for a trip to Yaounde. Two students from the group will be selected at random for the trip. What is the probability that Ndong and Ngong will be the 2 studentsselscted?
A) 5/12 B) 7/20 C) 5/8 D) 1/5
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NUMBER OF PAGES: 80
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