# Mathematics IV (Advanced Algebra,Trigonometry And Statistics)

25 Questions | Total Attempts: 268  Settings  Mathematics is a broad subject and it includes trigonometry, statistic and algebra. The test below covers all this three sections and is designed to help you improve your skills. Give it a try and see if you should enroll into the mathematics competition this year. All the best and work hard!

Related Topics
• 1.
What constant term must be added to  a-14a+___= 0 to make it a perfect square trinomial?
• A.

-49

• B.

7

• C.

49

• D.

-7

• 2.
Where is the vertex of the parabola f(x)=3(x-1)^2 +4?
• A.

(3,4)

• B.

(1,4)

• C.

(-1,4)

• D.

(-3,1)

• 3.
Which parabola does not have its axis of symmetry on the y-axis?
• A.

Y=-x^2

• B.

Y=x^2+2

• C.

Y=2x^2

• D.

Y=(x-2)^2

• 4.
What quadratic function has a maximum point?
• A.

F(x)=-x^2+3

• B.

F(x)=(x-4)^2+6

• C.

F(x)=2x^2+3

• D.

F(x)=(x)^2

• 5.
Which of the following is NOT a perfect square trinomial?
• A.

A^2+10a+25

• B.

Y^2+8y+7

• C.

A^2-18a+81

• D.

H^2-13h+169/4

• 6.
Find the product of (6x-3) and (x+5).
• A.

6x^2-15

• B.

6x^2+30x-15

• C.

6x^2-27x-15

• D.

6x^2+27x-15

• 7.
Which of the following equations of a parabola has the widest graph?
• A.

Y=4x^2

• B.

Y=x^2

• C.

Y=2x^2

• D.

Y=1/4x^2

• 8.
Factor  x^2-64.
• A.

(x-8)(x-8)

• B.

(x-4)(x+16)

• C.

(x+8)(x-8)

• D.

(x+4)(x-16)

• 9.
What is the axis of symmetry of f(x)=(x+1)^2+1?
• A.

X=1

• B.

X=2

• C.

X=-1

• D.

X=-2

• 10.
Which of the following is equal to (x+2)(x+2) or (x+2)^2?
• A.

X^2+2x+4

• B.

X^2+4x+4

• C.

X^2+4x+2

• D.

X^2+4x-4

• 11.
Which of the following quadratic functions has the narrowest graph?
• A.

F(x)=x^2

• B.

F(x)=1/2x^2

• C.

F(x)=4x^2

• D.

F(x)=1/4x^2

• 12.
What is the turning point of the parabola?
• A.

Vertex

• B.

Origin

• C.

Line of symmetry

• D.

Axis

• 13.
Which of the following trinomials is a perfect square trinomial?
• A.

X^2+8x+7

• B.

X^2-8x+16

• C.

X^2+8x+15

• D.

X^2+12x+27

• 14.
Which of the following quadratic functions has the vertex at the origin?
• A.

F(x)=4x^2

• B.

F(x)=-3+14x^2

• C.

F(x)=(x-0)^2+2

• D.

F(x)=2(x-4)^2+5

• 15.
What is the quadratic function with zeros 2 and -3?
• A.

F(x)=x^2+x-6

• B.

F(x)=x^2+5x-6

• C.

F(x)=x^2-x-6

• D.

F(x)=x^2-x+6

• 16.
• A.

F(x)=2x^2

• B.

F(x)=x-2

• C.

F(x)=x^2+4x-12

• D.

F(x)=5(x+3)^2

• 17.
What are the roots of x^2-5x-6=0?
• A.

6 and -1

• B.

-6 and 1

• C.

-2 and -3

• D.

2 and 3

• 18.
Find the solution set of the equation x^2+6x-7.
• A.

-1,-5

• B.

1,-7

• C.

-1,7

• D.

13,-19

• 19.
The nature of roots of 3x^2+5x+1=0
• A.

Imaginary conjugates

• B.

Real,unequal,rational

• C.

Real,equal,rational

• D.

Real,unequal,irrational

• 20.
What is the equation of the quadratic function whose graph is congruent to the graph of f(x)=x^2 with vertex at (0,3)?
• A.

F(x)=x^2+3

• B.

F(x)=-x^2+3

• C.

F(x)=x^2-3

• D.

F(x)=-x^2-3

• 21.
The vertex is the minimum point when the parabola opens downward.
• A.

True

• B.

False

• 22.
The polynomial of degree 2 is called square root function.
• A.

True

• B.

False

• 23.
The vertex is the maximum point when the parabola opens upward.
• A.

True

• B.

False

• 24.
The line of symmetry acts as a mirror which divides the parabola into two symmetrical parts.
• A.

True

• B.

False

• 25.
The vertex of the quadratic function f(x)=ax^2 is at the origin.
• A.

True

• B.

False