Free Printable POST TEST Remedial-2nd Grading

1.

Which of the following is a polynomial functions?

a)

f(x) = $\frac{1}{x}$

b)

g(x) = $x^2$

c)

h(x) = $\sqrt[]{x}$

d)

f(x)= $x^{\frac{2}{3}}$

2.

1. In the polynomial function 𝑦= $\left(-2x\right)\left(x+2\right)\left(x-2\right)$ $\left(x+1\right)^3$ , what is the degree of the polynomial function?

a)

3

b)

4

c)

5

d)

6

3.

What is the leading coefficient of $f\left(x\right)=\ -x\left(2x+5\right)^2\left(x-1\right)^3?$

a)

-4

b)

-1

c)

1

d)

2

4.

What is the end behavior of the graph of $f\left(x\right)=\ -10x+2x^3-14x+4?$

a)

rises to both directions

b)

fails to both directions

c)

rises to the left and falls to the right

d)

falls to the left and rises to the right

5.

Which refers to a set of points that are at a constant distance from a fixed point?

a)

center

b)

circle

c)

radius

d)

secant

6.

Which statements describes the relationships between central angle and its arc?

a)

The measure of central angle is equal to the measure of its intercepted arc.

b)

The measure of the central angle is half the measure of its intercepted arc.

c)

The measure of the arc is twice the measure of its central angle.

d)

The measure of central angle is twice the measure of its intercepted arc.

7.

The radius of a given circle F is 14ft. If the measure of arc DE = 315°. What is the area of sector DFE?

a)

$\frac{343\pi}{2}ft^2$

b)

$\frac{344\pi}{2}ft^2$

c)

$\frac{345\pi}{2}ft^2$

d)

$\frac{346\pi}{2}ft^2$

8.

Which of the following is the common internal tangent of circle A and circle B?

a)

$\overline{FG}$

b)

$\overline{AB}$

c)

$\overline{AF}$

d)

$\overline{BG}$

9.

Consider the equation of the circle $\left(x+2\right)^2+y^2=9$

What is the center of the circle?

a)

(2,0)

b)

(-2,0)

c)

(0,2)

d)

(0,-2)

10.

Consider the equation of the circle $\left(x+2\right)^2+y^2=9$

Suppose the center was moved two units downward and three units to the right, what will be the new center of the circle?

a)

(1,-2)

b)

(3,0)

c)

(3,2)

d)

(5,-2)

11.

Which of the following is the graph of polynomial functions $f\left(x\right)=\left(x+1\right)^3\left(x-1\right)^2.$

a)

A

b)

B

c)

C

d)

D

12.

How is the sketch of the graph of the polynomial function, $f\left(x\right)=\ x\left(x+1\right)^2,\ be\ drawn\ to\ the\ x-axis?$

a)

The sketch must crosses both at (-1,0) and (0,0).

b)

The sketch must be tangent at both (-1,0) and (0,0).

c)

The sketch must crosses at (-1,0) and tangent at (0,0).

d)

The sketch must be tangent at (-1,0) and crosses at (0,0).

13.

Which graph has an odd degree and a negative leading coefficient in its equation?

a)

b)

c)

d)

14.

Which graph has an even degree and a positive leading coefficient in its equation?

a)

b)

c)

d)

15.

A central angle whose measures is $45\degree$ subtends arc AC. If the radius of the circle is 6 cm. How long is is arc AC?

a)

$\frac{\pi}{8}cm$

b)

$\frac{\pi}{4}cm$

c)

$\frac{2\pi}{3}cm$

d)

$\frac{3\pi}{2}cm$

16.

Given circle D on the right, which statement(s) is/ are correct?

I. m<BRO = $\frac{1}{2}\left(m\ arc\ BO\right)$

II. $m<BRO=\frac{1}{2}\left(m\ <BDO\right)$

III. $m<BRO\ =\ \left(m\ arc\ BO\right)$

a)

I only

b)

II only

c)

I and III

d)

I, II and III

17.

Which of the following angles is congruent to <BAC?

a)

<ABD

b)

<BDC

c)

<ACD

d)

<BPC

18.

If <BAC= $25\degree$ .Find m<BDC

a)

$25\degree$

b)

$40\degree$

c)

$50\degree$

d)

$60\degree$

19.

$If\ <BAC=\ \left(x+5\right)\degree\ and\ arc\ BC=40\degree,\ what\ is\ the\ value\ of\ x?$

a)

10

b)

15

c)

20

d)

35

20.

$If\ \overline{AC\ }and\ \overline{BD}\ are\ chords,\ then\ what\ is\ <ADB?$

a)

$90\degree$

b)

$80\degree$

c)

$70\degree$

d)

$35\degree$

21.

$If\ \overline{AB\ }=10\ units,\ \overline{AF}=4\ units\ and\ \overline{BG}=3\ units,\ then\ what\ is\ \overline{FG}?$

a)

$\sqrt[]{7}units$

b)

7 units

c)

$\sqrt[]{51}units\$

d)

51 units

22.

In the given figure at the left, which of the following equations can determine the measure of the exterior angle formed by two secants?

a)

$m<EAF\ =\ \frac{1}{2}\left(m\ arc\ BC\ -\ m\ arc\ EF\right)$

b)

$m<EAF\ =\frac{1}{2}\left(m\ arc\ EF\ -\ m\ arc\ BC\right)$

c)

$m<EAF=\frac{1}{2}\left(m\ arc\ EF\ +\ m\ arc\ BC\right)$

d)

$m\ <BDC\ =\ \frac{1}{2}\left(m\ arc\ BC\ +\ m\ arc\ EF\right)$

23.

Which statements is/are not true about the measures of <BAD?

$I.\ m<BAD=\frac{1}{2}m\ arc\ BD$

$II.\ m<BAD=\frac{1}{2}\left(m\ arc\ BD\ -\ m\ arc\ BC\right)$

$III.\ <BAD\ is\ an\ angle\ formed\ \tan gent\ and\ \sec ant\$

a)

I only

b)

II and III only

c)

III only

d)

I and II

24.

Which statement is not true?

a)

$\overline{AO}\ is\ \perp$ $\overrightarrow{DA}$

b)

AO = OC = OB

c)

$\overrightarrow{DA}\ and\ \overrightarrow{DB}\ are\ \tan gents$

d)

<ACB and <ADB are complementary angles

25.

What is the value of x?

a)

28

b)

56

c)

69

d)

90

26.

What is the distance between the points M(-3,1) and N(7, -3)?

a)

6 units

b)

$2\sqrt[]{29}\ units$

c)

14 units

d)

$4\sqrt[]{29\ }units$

27.

Three speed cameras were installed at different points along an expressway. On a map drawn on a coordinate plane, the coordinates of the first speed camera are (−2,4). Suppose the second camera is midway of the other two and its coordinates are (12, 8), what are the coordinates of the third speed camera?

a)

(22, 16 )

b)

(22, 12)

c)

(26, 16)

d)

(26, 12)

28.

The vertices of a square are 𝐻(3,8), 𝐼(15,8), 𝐽(15, −4), and 𝐾(3, −4). What is the length of its diagonal?

a)

4 units

b)

$4\sqrt[]{2}units$

c)

12 units

d)

$12\sqrt[]{2}units$

29.

The coordinates of the vertices of a triangle are 𝐺 ( −4, 2),𝑂 (5, −1), and 𝑇 (10,8). What is the length of the median from vertex 𝑂?

a)

$\sqrt[]{106}units$

b)

$\sqrt[]{58}units\$

c)

$2\sqrt[]{10}units\$

d)

$3\sqrt[]{10}units\$

30.

A map is drawn on a grid where 1 unit is equivalent to 2 km. On the same map, the point corresponding to SM Marilao is (1,4). Suppose Malolos is 20 km away from SM Marilao which point corresponding to position of Malolos?

a)

(17, 16)

b)

(17, 13)

c)

(9, 10)

d)

(-15, 16)

31.

Consider the circle whose equation is given by $\left(x+2\right)^2\ +\ y^2=9$

What is the center of the circle?

a)

(2,0)

b)

(-2, 0)

c)

(0, 2)

d)

(0,-2)

32.

Consider the circle whose equation is given by $\left(x+2\right)^2\ +\ y^2=9$

Suppose, the center was moved 2 units downward and three units to the right, what will be the new center of the circle?

a)

(1, −2)

b)

(3,0)

c)

(3,2)

d)

(5, −2)

33.

Given that the center (ℎ, 𝑘) of a circle and its radius (𝑟), which of the following is the equation of the circle in the center-radius form?

a)

$\left(x-h\right)^2+\left(y-k\right)^2=\ r$

b)

( $\left(x-h\right)^2\ -\left(y-k\right)^2=r$

c)

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

d)

$\left(x+h\right)^2+\left(y+k\right)^2=r^2$

34.

What is the equation of the circle whose radius is 5 units and with center at (−2,3)?

a)

$\left(x+2\right)^2+\left(y-3\right)^2=25$

b)

$\left(x+2\right)^2+\left(y-3\right)^2=5$

c)

$\left(x-2\right)^2+\left(y+3\right)^2=25$

d)

$\left(x-2\right)^2+\left(y+3\right)^2=5$

35.

The endpoints of the diameter of a circle are at (−2,8) and (4,0). Find the equation of the circle.

a)

$\left(x-1\right)^2+\left(y+4\right)^2=\ 25$

b)

$\left(x+1\right)^2+\left(y+4\right)^2=25$

c)

$\left(x-1\right)^2+\left(y-4\right)^2=25$

d)

$\left(x+1\right)^2+\left(y-4\right)^2=25$

36.

The volume V(x) of a rectangular container is a function of its width x. If its height is 10 cm shorter than its width and its length is 15 cm longer than its width, what is the restricted domain of this function?

a)

[0, 15]

b)

[-15, 0]

c)

[0, 10]

d)

[10, $+\infty$ ]

37.

The volume of the box is given by V(x)= $2x^3+7x^2+3x.$ Which expression represents the missing width?

a)

x+1

b)

2x + 1

c)

x+2

d)

2x+3

38.

What is the measure of <QTR?

a)

$60\degree$

b)

$90\degree$

c)

$180\degree$

d)

$200\degree$

39.

What is the measure of arc QR if m<QPR= $38\degree$ ?

a)

$38\degree$

b)

$52\degree$

c)

$76\degree$

d)

$104\degree$

40.

If measure of arc CE= $100\degree$ and arc DB= $120\degree$ , then what is the measure of <1?

a)

$110\degree$

b)

$120\degree$

c)

$130\degree$

d)

$140\degree$

41.

If measure of arc CD= $80\degree$ and arc EB= $60\degree$ , then what is the measure of <2?

a)

$100\degree$

b)

$90\degree$

c)

$80\degree$

d)

$70\degree$

42.

If measure of arc CE= $100\degree$ and arc DB= $120\degree$ , then what is the measure of <3?

a)

$110\degree$

b)

$120\degree$

c)

$130\degree$

d)

$140\degree$

43.

Given the figure, what is the value of x?

a)

5 units

b)

6 units

c)

7 units

d)

8 units

44.

In the figure, which of the following will be used to find the value of a?

a)

$a^2=\ 12\ +15$

b)

$a^2=\ 12^2+15^2$

c)

$a^2=12\left(12+15\right)$

d)

$a^2=15\left(12\ +\ 15\right)$

45.

Circle F has a central angle of $120\degree$ with radius 10 m. What is the area of the segment?

a)

$\left(100\pi-25\sqrt[]{3}\right)m$

b)

$\left(10\pi-25\sqrt[]{3}\right)m$

c)

$\left(\frac{10\pi}{3}-25\sqrt[]{3}\right)m$

d)

$\left(\frac{100\pi}{3}-25\sqrt[]{3}\right)m$

46.

Given the two secants shown in the diagram, find the value of x

a)

$40\degree$

b)

$60\degree$

c)

$80\degree$

d)

$14\degree$

47.

In the figure, Triangle ABC is an equilateral. What is the measure of <BDC.

a)

$100\degree$

b)

$120\degree$

c)

$140\degree$

d)

$160\degree$

48.

Justin was asked to give the equation of a circle that is tangent to the axes at the points (0,4) and (4,0). He said that the equation of the circle is (𝑥 − 4) 2 + (𝑦 − 4) 2 = 4. Is he correct and why?

a)

Yes, he was able to square the radius.

b)

No, he made a mistake in identifying the center.

c)

No, he made a mistake in identifying the radius.

d)

Yes, he was able to identify the correct center and radius of the circle.

49.

What is the equation of the circle whose graph is shown at the right?

a)

$\left(x+2\right)^2+y^2=2$

b)

$\left(x+2\right)^2+y^2=4$

c)

$\left(x-2\right)^2+y^2=2$

d)

$\left(x-2\right)^2+y^2=4$

50.

The Provincial Disaster Risk Reduction Management Council (PDRRMC) of a province where an active volcano is located designated a 5-kilometer radius from the location of the volcano as a non-residential zone. If the volcano is at 𝑉(2,3), is a piece of land found at 𝐿(−3,5) located at the non-residential zone?

a)

No, 𝐿 is outside the province.

b)

Yes, 𝐿 is in the non-residential zone.

c)

No, 𝐿 is at the region beyond the non-residential zone.

d)

No, 𝐿 is at the boundary only of the non-residential zone

POST TEST Remedial-2nd Grading

Total questions: 50

Worksheet time: 25mins

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