University of Debrecen Entrance Examination
K52
.
Surname: ...................................... Given Name: .......................................
Birth date: ................................... High School Graduation Year: ............
Program applied for: .......................................................
1. How many percentage of 400 is 80?
Answer: .............................................
2. Compute the average of the numbers 1, 8, 5, 9, 3.
Answer: .............................................
3. Write the decimal form of the number 1
.32 · 10
4?
Answer: .............................................
4.
What is the value of
2 −
4 ?
Answer: .............................................
5. What is the value of 2
−3 + 3
−2?
Answer: .............................................
6. Let
A = {1
, 3
, 4
, 5
, 6
, 7
, 8} and
B = {1
, 3
, 5
, 9}. How many elements has (
A ∪
B) \ (
A ∩
B)?
Answer: .............................................
7. What are the solutions of the equation
x2 − 25 = 0?
Answer: .............................................
8. Solve the following system of equations!
2
x + 3
y = −2
x + 2
y = −2
Answer: .............................................
9. Determine the maximal domains of the functions f (x) = 1
x−5
and g(x) = √8 − 2x?
Answer: .............................................
10.
What are the values of sin .
π Σ and cos .−
π Σ?
Answer: .............................................
11. How long is the diagonal of a rectangle with sides 8 and 6.
Answer: .............................................
12. How many diagonals has a convex 7-polygon?
Answer: .............................................
13. What are the coordinates of centre of the circle given by the equation
x2 − 4
x +
y2 + 4
y = 0?
Answer: .............................................
14. What is the solution of the logarithmic equation log3(
x − 2) = 1 ?
Answer: .............................................
15. What is the equation of the line passing through the points (0
, −1) and (2
, 3)?
Answer: .............................................
16. What is the area of the triangle determined by
A = (1
, 4),
B = (0
, 2),
C = (3
, 0)?
Answer: .............................................
17.
What is the period of the function
