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Chapter Test in Math 10

Total questions: 51

Worksheet time: 2hrs 56mins

Name
Class
Date
1.

A plane figure which the curve path is equidistant from a fixed point called a center.

a)
circle
b)

oblong

c)

rectangle

d)

square

2.

It is a segment joining any two points on the circle.

a)
chord
b)

secant line

c)

tangent line

d)

line segment

3.

It is a segment whose endpoints are on the circle and it passes through the center of the circle and called the longest chord of a circle.

a)
diameter
b)

tangent line

c)

secant line

d)

chord

4.

A segment drawn from the center of the circle to any point on the circle.

a)
radius
b)

diameter

c)

chord

d)

semi-circle

5.

An arc of a circle that measures less than a semicircle.

a)
minor arc
b)

major arc

c)

semi-circle

d)

circumference

6.

An arc measuring one-half of the circumference of a circle.

a)
semi-circle
b)

circle

c)

minor arc

d)

major arc

7.

An arc of a circle that measures more than a semicircle.

a)
major arc
b)

minor arc

c)

semi-circle

d)

circumference

8.

An angle formed by two rays whose vertex is the center of the circle.

a)
central angle
b)

right angle

c)

inscribed angle

d)

obtuse angle

9.

An angle whose vertex is on a circle and whose sides contain are chords of the circle.

a)
Inscribed angle
b)

central angle

c)

right angle

d)

obtuse angle

10.

The region bounded by an arc and a segment joining its endpoints.

a)
Area of the segment
b)

Area of the sector

c)

Area of triangle

d)

Area of Circle

11.

In a circle or congruent circles , congruent central angles have congruent___

a)

center

b)

arcs

c)

chord

d)

segment

12.

in a circle or congruent circles, congruent ___ have congruent arcs.

a)

segment

b)

chords

c)

arcs

d)

center

13.

The measure of an arc formed by two___ arcs is the sum of the measure of the two arcs.

a)

semi-circle

b)

congruent

c)

adjacent

d)

opposite

14.

In a circle or congruent circle, congruent arcs have congruent ____

a)

chords

b)

angles

c)

centers

d)

segments

15.

In a circle, if the ______ is perpendicular to a chord, then it bisects the chord and its arc.

a)

line

b)

segment

c)

radius

d)

chord

16.

In ʘA, TP is a diameter. What is the measure of TÔ if m∠OAP = 65o?

a)

65°

b)

115o

c)

130o

d)

230o

17.

Find the degree measure of the arc of the sector whose area is 8π of a circle and whose radius is 6cm.

a)

80o

b)

90o

c)

180o

d)

360o

18.

Which of the following statements is NOT true about an inscribed angle?

a)

An angle inscribed in a semicircle is an obtuse angle.

b)

The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.

c)

If two inscribed angles intercept at the same arc or congruent arcs, then the angles are congruent.

d)

An inscribed angle is an angle whose vertex lies on the circle and whose sides contain chords of the circle.

19.

Find the value of x

a)

10

b)

23

c)

83

d)

181

20.

What number is pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

21.

A area between/bounded by two radii of the circle and the arc where the radii meet the circle.

a)

triangle

b)

arc length of a circle

c)

sector of a circle

d)

segment of a circle

22.

What is the area formula for a circle?

a)

A = πr2

b)

A = 2πr

c)

A = √π

23.

Find the area of the circle below.

a)

8.76 cm2

b)

18.52 cm2

c)

21.90 cm2

d)

28.26 cm2

24.

What is this the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

25.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

25.2 in2

b)

28.5 in2

c)

31.4 in2

d)

38.2 in2

26.

The distance along the edge of a circle between two points is the _________

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

27.

Find the area of the circle. When a number is written next to the center of the circle, it represents the diameter length. The diameter is 18 in.

a)

56.52 in2

b)

254.34 in2

c)

1017.36 in2

d)

113.04 in2

28.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

29.

What is the area of the shaded SECTOR? Round to the nearest hundredth.

a)

9.42 u2

b)

113.10 u2

c)

284.3 u2

d)

452.39 u2

30.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft2

b)

4.5 ft2

c)

6.3 ft2

d)

7.1 ft2

31.
Write the equation of a circle with center (7, 0) with radius 3. 
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
32.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
33.
What is the equation for this circle?
a)
(x+1)+(y+1)=9
b)
x²+y²=9
c)
x+y=9
34.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
35.
What is the radius?
a)
18
b)
72
c)
38
d)
14
36.
Is the point (3 , 5) inside, outside or on the circle with equation x2 + y2 = 9?
a)
Inside the Circle
b)
Outside the Circle
c)
On the Circle
37.
Is the point (-3 , 5) inside, outside or on the circle with equation (x+2)2 + (y-4)2 = 9?
a)
Inside the Circle
b)
Outside the Circle
c)
On the Circle
38.

Circle O has a center at (3,1) and a diameter of 10 units. Which point lies on circle O?

a)

(3,-4)

b)

(-3,-1)

c)

(5,1)

d)

(8,0)

39.
Write the equation of a circle with center (h,k) and radius r.
a)
x2 + y2  = r2
b)
(x + h)2 +  (y + h)2 = r2
c)
(x - h)2 + (y - k)2 = r2
d)
(x - h)2 - (h - k)2 = r
40.

What is the equation of the circle?

a)

(x+1)2 + (y +1)2 = 3

b)

(x+1)2 + (y -1)2 = 3

c)

(x+1)2 + (y +1)2 = 9

d)

(x-1)2 + (y -1)2 = 9

41.
Write the equation at the origin with radius 6.  
a)
x2 + y2 = 6
b)
x2 + y2 = 36
c)
x  + y = 6
d)
x + y = 36
42.
What is the center of a circle with equation (x-4)2 + y2 = 5?
a)
(-4, 0)
b)
(4, 0)
c)
(4, 1)
d)
(-4, 1)
43.

What is the degree of the function:

f(x) = 6x2 + 4 - 3x4 + 5x - 9x3

a)

1

b)

2

c)

3

d)

4

44.

What is the leading coefficient of the function:

f(x) = 6x2 + 4 - 3x4 + 5x - 9x3

a)

6

b)

3

c)

-3

d)

4

45.

What is the leading coefficient of the function:

f(x) = 6x2 + 4 - 3x4 + 5x - 9x3

a)

6

b)

3

c)

-3

d)

4

46.

What type of function is:

f(x) = 6x2 + 4 - 3x4 + 5x - 9x3

a)

linear

b)

quadratic

c)

cubic

d)

quartic

47.

A function with degree 3 is called

a)

constant

b)

cubic

c)

linear

d)

quadratic

48.

Which is the constant term in the polynomial function?

2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

49.

f(x) = 2x3 - 3x2 + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

50.

f(x) = 2x3 - 3x2 + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

51.
What is the standard form of the polynomial,
 9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27