Free Printable Achievement Test in Mathematics 9

1.

A ____ in one variable is an equation that can be written in the standard form ax²+ b x + c = 0

a)

quadratic equation

b)

trinomial equation

c)

rational exponent

d)

radical expression

2.

In 4x²+ 2x + 5, the value of a is _____

a)

2

b)

5

c)

3

d)

4

3.

In FOIL Method, the 2^nd step is multiply the ___.

a)

first terms

b)

outer terms

c)

last terms

d)

inner terms

4.

The greatest common factor of 10, 25 and 30 is ____

a)

2

b)

3

c)

4

d)

5

5.

____ is a polynomial that contains three terms

a)

Monomial

b)

Multinomial

c)

Binomial

d)

Trinomial

6.

The factor of x²-4x is _______

a)

2x(x-4)

b)

x(x-4)

c)

x(x²-4)

d)

x(x+4)

7.

In the quadratic equation ax² + bx + c = 0, ax² is _____

a)

quadratic term

b)

linear term

c)

constant term

d)

first term

8.

In the quadratic equation ax² + bx + c = 0 , bx is ____

a)

quadratic term

b)

linear term

c)

constant term

d)

first term

9.

The expression ______ is called the discriminant

a)

b² + 4ac

b)

b – 4ac

c)

b² + 2ac

d)

b²– 4ac

10.

The formula of Sum of the roots is ______

a)

$\frac{c}{a}$

b)

$\frac{a}{c}$

c)

$-\frac{b}{a}$

d)

$\frac{b}{a}$

11.

The square root of 81 is _______

a)

3

b)

5

c)

8

d)

9

12.

A quadratic function is a polynomial function in the ___ degree.

a)

first

b)

second

c)

third

d)

fourth

13.

In ____, one quantity increases at a constant rate as the other quantity increases at a constant rate

a)

direct variation

b)

inverse variation

c)

joint variation

d)

combined variation

14.

The equation variation given that is varies directly as x is ____

a)

y = kx

b)

$y\ =\frac{k}{x}$

c)

y = kxz

d)

$y\ =\frac{kx}{z}$

15.

A ____ is a polygon with four sides

a)

quadrilateral

b)

pentagon

c)

hexagon

d)

decagon

16.

A ____ is a quadrilateral with no parallel sides

a)

parallelogram

b)

trapezium

c)

rectangle

d)

rhombus

17.

A triangle with two sides congruent is an _____ triangle

a)

scalene

b)

isosceles

c)

equilateral

d)

right

18.

A ____ is a parallelogram with all sides are equal in length

a)

trapezoid

b)

trapezium

c)

rectangle

d)

rhombus

19.

The term trigonometry comes from the Greek word trigonometria meaning____ measurement

a)

triangle

b)

square

c)

rectangle

d)

trapezoid

20.

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram

a)

Theorem 4-5

b)

Theorem 4-1

c)

Theorem 4-2

d)

Theorem 4-4

21.

If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram

a)

Theorem 4-5

b)

Theorem 4-1

c)

Theorem 4-2

d)

Theorem 4-4

22.

The cosine of $\theta$ is equal to __

a)

adjacent / hypotenuse

b)

opposite / adjacent

c)

opposite / hypotenuse

d)

hypotenuse / adjacent

23.

The tangent of $\theta$ is equal to ___

a)

adjacent / hypotenuse

b)

opposite / hypotenuse

c)

opposite / adjacent

d)

hypotenuse / adjacent

24.

The sine of $\theta$ is equal to ___

a)

adjacent / hypotenuse

b)

opposite / adjacent

c)

opposite / hypotenuse

d)

hypotenuse / adjacent

25.

The missing x in $\frac{3}{x}$ = $\frac{4}{5}$ is ___

a)

3.75

b)

4.75

c)

5.75

d)

6.75

26.

The ____ is the longest side of a right triangle

a)

hypotenuse

b)

altitude

c)

leg

d)

midsegment

27.

The ____ theorem if the corresponding sides of two triangles are proportional, then the triangles are similar

a)

AA similarity

b)

SSS similarity

c)

SAS similarity

d)

ASA similarity

28.

The ____ theorem of two sides of a triangle are proportional to the corresponding sides of another triangle and the included angles are congruent, then the triangles are similar

a)

AA similarity

b)

SSS similarity

c)

SAS similarity

d)

Right Triangle Similarity

29.

___ states that if two angles of one triangle are congruent to two angles of another triangle then the two triangles are similar

a)

SSS similarity

b)

ASA similarity

c)

AA similarity postulate

d)

Right Triangle similarity

30.

A ____ is a parallelogram with all angles are right 90 degrees

a)

rhombus

b)

trapezoid

c)

trapezium

d)

rectangle

31.

Change $\ \ \ \ \ \ \ \ \ ^{\ 3}\ \sqrt{x^2}^{ }$ into rational exponent

a)

$2^{\frac{2}{3}}$

b)

$x^{\frac{2}{3}}$

c)

$\frac{2}{3}$

d)

$x^{\frac{3}{2}}$

32.

Change $b^{\frac{2}{3}}$ into radical form

a)

$\ \ ^3\sqrt{b^2}$

b)

$^2\sqrt{b^3}$

c)

$\sqrt{b^2}$

d)

$^3\sqrt{b}$

33.

Simplify the expression of $25^{\frac{1}{2}}$ is ___

a)

4

b)

6

c)

7

d)

5

34.

Simplify $\sqrt{5\ }$ . $\sqrt{20}$ using the laws of radicals

a)

100

b)

1 000

c)

10

d)

1

35.

A ____ is a parallelogram with all sides are equal in length and all angles are right

a)

trapezium

b)

trapezoid

c)

rectangle

d)

square

36.

The solution set of $x^2+4x+3=0$ using factoring is ____

a)

-3, -1

b)

3, 1

c)

3, -1

d)

-3, 1

37.

The value of the trigonometric ratio tan B = _____

a)

$\frac{13}{12}$

b)

$\frac{12}{23}$

c)

$\frac{12}{15}$

d)

$\frac{13}{15}$

38.

The value of trigonometric ratio cos A is ___

a)

$\frac{15}{13}$

b)

$\frac{12}{15}$

c)

$\frac{13}{15}$

d)

$\frac{12}{13}$

39.

Hermie Lopez is standing 20 m from the base of a tree. The angle of elevation $\theta$ from the point on the ground, where Hermie is standing, to the top of the tree is 20 degrees. Find the height of the tree

a)

h = 4.28 m

b)

h = 5.28 m

c)

h = 6.28 m

d)

h = 7.28 m

40.

In ____ variation, one quantity increases at a constant rate as the other quantity decreases

a)

direct

b)

inverse

c)

joint

d)

combined

Achievement Test in Mathematics 9

Total questions: 40

Worksheet time: 34mins

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