American University of Central Asia
American University of Central Asia
Entrance Examination on Mathematics
Test structure
1. Arithmetic calculation.
2. Algebraic expressions and identical transformations.
3. Trigonometric expressions, calculations using trigonometric formulas.
4. Systems of algebraic equations.
5. First order equation with absolute value of variable.
6. Irrational equations.
7. Exponential equations.
8. Investigation of quadratic trinomial and solution of quadratic inequalities.
9. Fractional-rational inequalities.
10. Irrational inequalities.
11. Logarithmic inequalities.
12. Arithmetic and geometric progressions.
13. Elementary functions and their graphs.
14. Tasks with requirement to generate equations.
15. Plane geometry.
16. “Nonstandard” tasks.
Time given: 60 minutes
Number of questions: 20
Maximum points: 100
Purposes of testing
• Examining student’s mathematical knowledge and skills acquired at school, and the ability to apply that knowledge in solving nonstandard problems
• Evaluating student’s abstract analytical and logical thinking
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