Free Printable MATHEMATICS 10 EXAM

1.

It is a part of a secant segment that is outside a circle.

a)

External Arc

b)

Internal Secant

c)

External Secant

d)

Common Secant

2.

Which of the following line segments intersects a circle at exactly two points?

a)

Line

b)

Ray

c)

Secant

d)

Tangent

3.

A line coplanar with the circle and intersects it in one and only one point.

a)

Angle

b)

Arc

c)

Secant

d)

Tangent

4.

A secant contains chord of a circle.

a)

True

b)

False

c)

Maybe

d)

Sometimes

5.

A line or segment or ray that is tangent to two circles in the same plane.

a)

Common Arc

b)

Common Secant

c)

Common Tangent

d)

Common Radius

6.

Which of the following illustrations do NOT show congruence

a)

the two circles are congruent.

b)

c)

the two circles are congruent.

d)

7.

An inscribed angle is a right angle if it intercepts a _________________.

a)

whole circle

b)

semicircle

c)

minor arc

d)

major arc

8.

Which of the following represents a secant intersecting a circle?

a)

b)

c)

d)

9.

Which of the following represent a common external tangents?

a)

b)

c)

d)

10.

Which of the following represents a common internal Tangent?

a)

b)

c)

d)

11.

Which of the following represents a Tangent intersecting a circle?

a)

b)

c)

d)

12.

Which line is tangent to circle E

a)

$\overleftarrow{A}\overrightarrow{T}$

b)

$\overleftarrow{J}\overrightarrow{S}$

c)

$\overleftarrow{N}\overrightarrow{L}$

d)

$\overleftarrow{J}\overrightarrow{L}$

13.

What is the point of tangency?

a)

A

b)

L

c)

N

d)

T

14.

Which of the following is not a secant to circle E?

a)

$\overleftarrow{A}\overrightarrow{T}$

b)

$\overleftarrow{J}\overrightarrow{S}$

c)

$\overleftarrow{N}\overrightarrow{L}$

d)

$\overleftarrow{J}\overrightarrow{L}$

15.

Which of the following is the external secant of $\angle SJL$ ?

a)

$\overleftarrow{A}\overrightarrow{J}$

b)

$\overleftarrow{J}\overrightarrow{L}$

c)

$\overleftarrow{A}\overrightarrow{E}$

d)

$\overleftarrow{E}\overrightarrow{L}$

16.

Which of the following is the external tangent of $\angle SJL$ ?

a)

$\overleftarrow{A}\overrightarrow{J}$

b)

$\overleftarrow{J}\overrightarrow{L}$

c)

$\overleftarrow{A}\overrightarrow{E}$

d)

$\overleftarrow{E}\overrightarrow{L}$

17.

What is the measure of the arc intercepted by inscribed angle $\angle NMO$ if $\angle NMO=85\degree$ ?

a)

b)

c)

d)

18.

What phrase correctly completes the theorem,

“If a quadrilateral is ___________, then its opposite angles are supplementary.

a)

inscribed in a circle

b)

circumscribed about a circle

c)

inscribed in a semicircle

d)

circumscribed about a semicircle

19.

a)

b)

c)

d)

20.

a)

$130°$

b)

$110°$

c)

$100°$

d)

$50°$

21.

a)

$78°$

b)

$85°$

c)

$95°$

d)

$102°$

22.

The __________ angles of a quadrilateral inscribed in a circle are supplementary.

a)

Adjacent

b)

obtuse

c)

opposite

d)

vertical

23.

arc TM

a)

$58\degree$

b)

$116\degree$

c)

$174\degree$

d)

$246\degree$

24.

arc MA

a)

$44\degree$

b)

$58\degree$

c)

$64\degree$

d)

$180\degree$

25.

arc EA

a)

$58\degree$

b)

$116\degree$

c)

$270\degree$

d)

$360\degree$

26.

$m\angle MEA=_{ }$ ____

a)

$32°$

b)

$64\degree$

c)

$116\degree$

d)

$160\degree$

27.

$m\angle TAM=_{ }$ ____

a)

$32°$

b)

$58\degree$

c)

$116\degree$

d)

$188\degree$

28.

Which of the following is the relation of the two intersecting chord in the figure?

a)

$\overline{FA}\ ∙\ \overline{FS}=\overline{LG}\ ∙\ \overline{SG}$

b)

$\overline{FS}\ ∙\ \overline{SA}=\overline{LS}\ ∙\ \overline{SG}\$

c)

$\overline{FA}\ ∙\ \overline{AS}=\overline{LG}\ ∙\ \overline{LS}\$

d)

$\overline{FA}\ ∙\ \overline{FS}=\overline{LS}\ ∙\ \overline{SG}$

29.

What is the value of x?

a)

3 units

b)

5 units

c)

8 units

d)

9 units

30.

Which of the following is the relation of the two intersecting chord in the figure?

a)

$\overline{JA}\ ∙\ \overline{EA}=\overline{SN}\ ∙\ \overline{NA}$

b)

$\overline{JA}\ ∙\ \overline{EA}=\overline{SA}\ ∙\ \overline{SN}$

c)

$\overline{JE}\ ∙\ \overline{EA}=\overline{SN}\ ∙\ \overline{NA}$

d)

$\overline{JA}\ ∙\ \overline{EA}=\overline{SA}\ ∙\ \overline{NA}$

31.

What is the value of x?

a)

3 units

b)

5 units

c)

8 units

d)

9 units

32.

Which of the following is the relation of the two intersecting secant and tangent in the figure?

a)

$(\overline{MT})^2=\overline{MS}\ \ ∙\ \ \overline{MC}$

b)

$(\overline{MS})^2=\overline{MT}\ \ ∙\ \ \overline{MC}$

c)

$(\overline{MC})^2=\overline{MT}\ \ ∙\ \ \overline{MS}$

d)

$(\overline{MC})^2=\overline{MS}\ \ ∙\ \ \overline{ST}$

33.

What is the value of x?

a)

6.64 units

b)

6.32 units

c)

10.5 units

d)

-12.64 units

34.

Find the coordinates of the midpoint of $\overline{AP}$ whose end point are $A(-4,0)$ ; . $P(2,-12)$

a)

$(-5,-14)$

b)

$(-1,-6)$

c)

$(4,-4)$

d)

$(10,12)$

35.

Determine the distance between $O(6,-12)$ ; . $T(2,-20)$

a)

4

b)

8.94

c)

13.42

d)

16

36.

Determine the distance between $H(-2,-4)$ ; . $E(10,-4)$

a)

4

b)

12

c)

13.42

d)

16

37.

Find the coordinates of the midpoint of $\overline{A_1J}$ whose end point are $A_1(-10,4)$ ; . $J(-16,-8)$

a)

$(-10,-12)$

b)

$(-14,4)$

c)

$(-13,-2)$

d)

$(15,-10)$

38.

Determine the distance between $P(2,-12)$ ; . $N(14,-12)$

a)

4

b)

8

c)

12

d)

13.42

39.

Find the coordinates of the midpoint of $\overline{RQ}$ whose end point are $R(-14,-12)$ ; . $Q(-6,-12)$

a)

$(-10,-12)$

b)

$(10,12)$

c)

$(15,10)$

d)

$(-5,-2)$

40.

Determine the distance between $I(-6,-4)$ ; . $T(2,-20)$

a)

4.47

b)

8.94

c)

13.42

d)

17.89

41.

Find the coordinates of the midpoint of $\overline{K_1L_1}$ whose end point are $K_1(-2,20)$ ; . $L_1(2,20)$

a)

$(8,-8)$

b)

$(0,20)$

c)

$(-4,16)$

d)

$(0,-20)$

42.

Which of the following is the standard equation of a circle with center $(-1,2)$ and a radius of $2\sqrt{5}$ units.

a)

$(x+1)^2+(y-2)^2=2\sqrt{5}$

b)

$(x-1)^2+(y-2)^2=2\sqrt{5}$

c)

$(x+1)^2+(y-2)^2=20$

d)

$(x-1)^2+(y+2)^2=20$

43.

Which of the following is the general equation of a circle whose standard equation is $(x-6)^2+(y-2)^2=81$ ?

a)

$x^2+y^2-12x-2y-44=0$

b)

$x^2+y^2+12x-2y+44=0$

c)

$x^2+y^2+12x-2y-44=0$

d)

$x^2+y^2-12x-2y+44=0$

44.

Which of the following is the general equation of a circle whose standard equation is $(x+4)^2+(y-9)^2=144$ ?

a)

$x^2+y^2-8x-18y-47=0$

b)

$x^2+y^2+8x+18y+47=0$

c)

$x^2+y^2+8x-18y+47=0$

d)

$x^2+y^2+8x-18y-47=0$

45.

Which of the following is the standard equation of a circle with center $(4,-1)$ and a radius of 7 units?

a)

$(x-4)^2+(y+1)^2=49$

b)

$(x+4)^2+(y-1)^2=49$

c)

$(x+4)^2+(y-1)^2=-7$

d)

$(x-4)^2+(y+1)^2=7$

46.

In equation $x^2+y^2-8x+2y-32=0$ , what is the value of F?

a)

$-8x$

b)

$2y$

c)

$-32$

d)

$0$

47.

Given equation of the circle $(x-2)^2+(y-4)^2=36$ . Find the radius.

a)

$6$

b)

$-2$

c)

$4$

d)

$36$

48.

What is the center of a circle whose equation is $(x-4)^2+(y+1)^2=49$ ?

a)

$(-4,16)$

b)

$(4,-1)$

c)

$(-4,49)$

d)

$7$

49.

What is the center and radius of the circle $x^2+y^2-6x-10y+18=0$ ?

a)

$Center\ (3,5);\ Radius\ 4$

b)

$Center\ (4,-1),\ Radius\ 9$

c)

$Center\ (-1,2),\ Radius\ 7$

d)

$Center\ (-3,5),\ Radius\ 18$

50.

What is the center and radius of the circle $4x^2+4y^2+12x-4y-90=0$ ?

a)

$Center\ \left(\frac{3}{2},\frac{1}{5}\right);\ Radius\ 4$

b)

$Center\ (-4,16),\ Radius\ 9$

c)

$Center\ (-1,2),\ Radius\ 7$

d)

$Center\left(-\frac{3}{2},\frac{1}{5}\right),\ Radius\ 5$

MATHEMATICS 10 EXAM

Total questions: 50

Worksheet time: 2hrs 42mins

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