Mathematics Exam

1. Which one of the following is an irrational number?

A.

\sqrt{0.04}

B.

\sqrt{29}

C. 1,16222...
D. 3,4000

2. Which of the following is the simplified form of the expression $\frac{81^{1 / 5}}{27^{3 / 5}}$ ?

A.

\sqrt[5]{9}

B.

\sqrt[5]{3}

C.

\frac{1}{3}

D. 3

3. When the number $43 \times 10^{- 6} \times 10^{- 5}$ is written in standard form. it equals:

A.

43 \times 10^{3}

B.

0.43 \times 10^{5}

C.

4.3 \times 10^{3}

D.

4.3 \times 10^{4}

4. Given the system of linear equations ${\begin{cases} a_{1} x + b_{1} y = c_{1} \\ a_{2} x + b_{2} y = c_{2} \end{cases}$ , where $a_{1}, a_{2}, b_{1}$ , $b_{2}, c_{1}, c_{2} \in R$ and $a_{2}, b_{2}, c_{2} \neq 0$ , then which of the following is true?

A. If

\frac{a_{1}}{a_{2}} = \frac{c_{1}}{c_{2}}

, then the system has no solution.
B. If

\frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

, then the system has unique solution.
C. If

\frac{a_{1}}{a_{2}} \neq \frac{c_{1}}{c_{2}}

, then the system has infinitely many solutions.
D. If

\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}

, then the system has one solution.

5. If one of the roats of the equation $2 x^{2} - 8 x + k = 0$ exceeds the other by 2 , then what is the value of $k$ ?

A. 6
B. 4
C. 3
D. 1

6. Let $A = {x \in Z : - 2 \leq x \leq 2}$ and $B =∣ x \in N : 2 x \leq 3 x + 1}$ ate given two sets. Then what is $n (A \cup B)$ ?

A. 2
B. 6
C. 10
D. 5

7. Let $A = {x ∣ 1 \leq x \leq 10}$ and $B = {x ∣ - 1 \leq x \leq 10}$ be two sets of real numbers. What is the relative complement of A with respect to B ?

A.

ϕ

B.

{x ∣ - 1 \leq x < 1}

C.

{x ∣ - 1 \leq x \leq 1}

D.

{x ∣ - 1 \leq x \leq 0}

8. Which of the following statement is true about a relation?

A. The domain and the range of a relation are equal sets.
B. The range of a relation is the set of all its first coordinates.
C. The domain of a relation is the set of all its second coordinates.
D. A relation from A to B is any subset of A×B for non-empty sets A and B .

9. What is the minimum value of the function defined by

f (x) = - 3 + 4 x + x^{2}

?

A. 1
B. 0
C. -2
D. -7

10. Which of the following is NOT true about regular potygons?

A. It can be inscribed in a circle.
B. A circle can be inseribed in aregalar polygen.
C. The measure of cach exterior angle of an n-sided regular polygon is equal to

\frac{360^{\circ}}{n}

.
D. The measure of each interior angle of an n-sided regular polygon is equal to

\frac{n (180^{\circ})}{n - 2}

11. Suppose two triangles are similar by SSS similarity theorem. If the side lengths of one triangle are $2 cm, 4 cm$ and 6 cm , and the shorter side of the other triangle is 9 cm long, then what are the lengths (in cm ) of the other two sides of the triangle?

A. 18 and 27
B. 1 and 21
C. 9 and 27
D. 9 and 21

12. A boy and girl are both standing on a sus light. The boy's height is 1.6 m and casts a shadow of 2 m . If the girl's height casts a shadow of 1.8 m , then what is the height (in meter) of the girl?

A. 1.44
B. 1.6
C. 1.8
D. 2

13. Consider ite following histogram.

Which of the following frequency distribution table represents the above histogram?

A.

V	12	13	14	15	16	17
f	2	1	1	0	2	1

B.

V	12	13	14	15	16	17
f	2	1	1	1	2	1

C.

V	12	13	14	15	16	17
f	2	2	1	0	2	1

D.

V	12	13	14	15	16	17
f	2	2	1	2	2	1

14. If a fair six sided die is cossed ouce, then what is the probability of getting a factor of 4 ?

A.

\frac{1}{6}

B.

\frac{5}{6}

C.

\frac{1}{3}

D.

\frac{1}{2}

15. If two vectors $V = \vec{AB}$ , and $U = \vec{BC}$ are given as shown in the figure below.

Then what is the vector $V + U$ ?

A.

\vec{B A}

B.

\vec{CA}

C.

\vec{CB}

D.

\vec{AC}

Mathematics Exam:Part one

Exam Results