wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Day 3 page 23-29

Total questions: 111

Worksheet time: 56mins

Name
Class
Date
1.

The area of the annulus can be calculated by getting the difference between the area of the larger circle and the area of the smaller circle. Also, its area can be calculated by removing the hole.

a)

Law of extremities

b)

Law of reduction

c)

Law of deduction

d)

Sharp theorem

2.

Each of the faces of a regular hexahedron is a

a)

Square

b)

Triangle

c)

Rectangle

d)

Hexagon

3.

It is a polyhedron of which two faces are equal polygons in parallel planes and other faces are parallelograms

a)

Tetrahedron

b)

Prism

c)

Frustum

d)

Prismatoid

4.

The apothem of a polygon is or its inscribed circle.

a)

Radius

b)

Circumference

c)

Diameter

d)

Length

5.

Each angle of regular dodecagon is equal to

a)

135

b)

150

c)

125

d)

105

6.

The area bounded by two concentric circles is called

a)

Ring

b)

Disk

c)

Annulus

d)

Sector

7.

One-fourth of a great circle is called

a)

Cone

b)

Sector

c)

Quadrant

d)

Arc

8.

Points that lie on the same plane are called

a)

Coplanar

b)

Parallel

c)

Collinear

d)

Oblique

9.

The volume of a circular cylinder is equal to the product of its base and altitude

a)

Axiom

b)

Postulate

c)

Theorem

d)

Corollary

10.

The study of properties of figures in three dimensions.

a)

Physics

b)

Plane trigonometry

c)

Solid geometry

d)

Trigonometry

11.

A plane closed curve, all points of which are the same distance from a point within, called the center.

a)

Polyhedron

b)

Polygon

c)

Circle

d)

Ellipse

12.

What is the angle of pi and less than 2pi?

a)

Straight line

b)

Obtuse angle

c)

Oblique angle

d)

Acute angle

13.

What is the value in degrees of 1 radian?

a)

90°

b)

57.3°

c)

60°

d)

33°

14.

Prisms are named according to their

a)

Diagonals

b)

Sides

c)

Vertices

d)

Bases

15.

In plane geometry, two circular arcs that together make up a full circle are called

a)

Coterminal arcs

b)

Conjugate arcs

c)

Congruent arcs

d)

Half arcs

16.

Polygons are classified according to the number of

a)

Vertices

b)

Sides

c)

Diagonals

d)

Angles

17.

When two planes intersect with each other, the amount of divergence between the two plans is expressed by measuring the

a)

Dihedral angle

b)

Plane angle

c)

Polyhedral angle

d)

Reflex angle

18.

An angular unit equivalent to 1/4000 of the circumference of a circle is called

a)

Mil

b)

Degree

c)

Radian

d)

Grad

19.

Express 45° in mils

a)

80

b)

800

c)

1600

d)

2700

20.

The arc length equal to the radius of the circle is called

a)

Radian

b)

Quarter sector

c)

Sector

d)

Semicircle

21.

A five-pointed star is also known as

a)

Pentagon

b)

Pentatron

c)

Pentagram

d)

Quintagram

22.

If two or more lines have a single point which lies on all of them, then they are

a)

Collinear

b)

Coplanar

c)

Concurrent

d)

Conjugate

23.

The action of bringing one geometric figure into coincidence with another is called

a)

Transposition

b)

Translation

c)

Superposition

d)

Projection

24.

A line that intersect two or more lines at distinct points

a)

Tangent line

b)

Transversal

c)

Bisector

d)

Median

25.

An arc length equal to the radius of a circle

a)

Grad

b)

Radian

c)

Degree

d)

Mil

26.

An angle which is 1/400th of the full revolution.

a)

Gon

b)

Mil

c)

Degree

d)

Radian

27.

Another term for gon

a)

Grad

b)

Mil

c)

Centesimal degree

d)

A and C

28.

An angle whose vertex is a point on the circle and whose sides are chords is known as

a)

Interior angle

b)

Vertical angle

c)

Acute angle

d)

Inscribed angle

29.

An angle greater than the right angle but less than a straight angle

a)

Acute angle

b)

Obtuse angle

c)

Reflex angle

d)

Oblique angle

30.

Any angle greater than a straight angle but less than two straight angles is known as angle

a)

Compliment

b)

Supplement

c)

Complex

d)

Reflex

31.

The angle formed by the prolongation of one side and the adjacent side of the polygon

a)

Interior angle

b)

Acute angle

c)

Exterior angle

d)

Explementary angle

32.

Two angles which have the same vertex and the sides of one are form by extending the sides one are form by extending the sides of the other.

a)

Adjacent angles

b)

Vertical angles

c)

Vertical angles

d)

Deflection angles

33.

Another term for exterior angle

a)

Vertical angle

b)

Inscribed angle

c)

Reflex angle

d)

Deflection angle

34.

What is the sum of all deflection angles in given polygon?

a)

Always less than 360°

b)

Always equal to 360°

c)

Always greater than 360°

d)

Always equal to 180°

35.

The coterminal angle is 120° is

a)

240°

b)

-240°

c)

480°

d)

-480°

36.

Two planes intersect each other. What is the term for the angle formed perpendicular to the intersection of two planes?

a)

Solid angle

b)

Plane angle

c)

Base angle

d)

Dihedral angle

37.

When a terminal side of an angle coincides with an axis, the angle is a

a)

Co-terminal angle

b)

Right angle

c)

Quandrantal angle

d)

Reflex angle

38.

If the exterior angle of a polygon is obtuse, its corresponding interior angle is

a)

An acute angle

b)

Also an obtuse angle

c)

A reflex angle

d)

Always greater than 180°

39.

The measure of 2.25 revolutions counterclockwise is

a)

835°

b)

805°

c)

810°

d)

815°

40.

Solid angles are measured in

a)

Mil

b)

Radians

c)

Steradians

d)

Circular mils

41.

What is the largest measure (in steradians) of a solid angle

a)

2pi

b)

4pi

c)

8pi

d)

pi

42.

Steradians measure in space in analog of measured in the plane

a)

radians

b)

degrees

c)

mils

d)

grads

43.

A part of a circle is called

a)

sector

b)

segment

c)

chord

d)

arc

44.

It is a union of the chord of a circle and the intercepted arc

a)

Sector

b)

Segment

c)

Lune

d)

Zone

45.

A of a circle in the figure bounded by two radii and the intercepted arc.

a)

Major arc

b)

Minor arc

c)

Segment

d)

Sector

46.

The apothem of a polygon is the of its inscribed circle

a)

Radius

b)

Circumference

c)

Diameter

d)

Length

47.

As the area of the circle increases, the ratio of its circumference to its diameter

a)

Increases

b)

Remains constant

c)

Decreases

d)

Will be equal to 1

48.

A circle is said to be to a polygon having the same perimeter with that of the circle

a)

Congruent

b)

Isoperimetric

c)

Proportional

d)

Convex

49.

Which of the following is NOT a property of a circle?

a)

Through 3 points not in a straight line, only one circle can be drawn.

b)

A tangent to a circle is perpendicular to the radius at the point of tangency and conversely.

c)

An inscribed angle is measured by one half of the intercepted arc.

d)

The arcs of two circles subtended by equal central angles are always equal.

50.

All circles having the same center but of unequal radii are called

a)

Concentric circles

b)

Eccentric circles

c)

Inner circles

d)

Pythagorean circles

51.

Two chords of a circle which joints a point on the circle to the end points of a diameter and forms a right angle.

a)

Complementary chords

b)

Supplementary chords

c)

Focal chords

d)

Chords of contrast

52.

The center of the inscribed circle of a triangle is known as known as of the triangle.

a)

Circumcenter

b)

Incenter

c)

Excenter

d)

Orthocenter

53.

Supplementary chords are two chords which join a point on the circle to the endpoints of a diameter. The supplemental chords subtend a/an angle.

a)

Acute

b)

Right

c)

Obtuse

d)

Reflex

54.

A circle of radius R has a curvature of

a)

R^2

b)

1/R

c)

2R

d)

Sqrt(R)

55.

star described by the diagonal of a regular pentagon.

a)

Perigon

b)

Pentagram

c)

Penacle

d)

Pentagram or penacle

56.

The geometric figure remaining after a parallelogram has been removed from the corner of a large similar polygon.

a)

Google

b)

Gnomon

c)

Gaussian plane

d)

Lozenge

57.

An oblique-angled parallelogram with four sides equal is called

a)

Rhombus

b)

Diamond

c)

Lozenge

d)

All of the above

58.

A non-convex quadrilateral with two pairs of adjacent equal sides is called

a)

Trapezium

b)

Kite

c)

Deltroid

d)

Diamond

59.

What is another term for parallelogram?

a)

Rectangle

b)

Quadrangle

c)

Diamond

d)

Rhomboid

60.

Prisms are classified according to their

a)

Bases

b)

Prism

c)

Truncated prism

d)

Prismatoid

61.

A Solid cut of a given solid by two non parallel planes is called

a)

Frustum

b)

Prism

c)

Truncated prism

d)

Prismatoid

62.

A polyhedron having bases two polygons in parallel planes and for lateral faces triangles or trapezoids with one side lying on the other base of the polyhedron.

a)

Pyramid

b)

Cone

c)

Prismatoid

d)

Truncated prism

63.

Portion of the regular solid left after cutting off the upper part by a plane parallel to the base.

a)

Frustum

b)

Ungula

c)

Truncated solid

d)

Prismatoid

64.

Body or space bounded by surface every point of which is equidistant from a point within

a)

Circle

b)

Sphere

c)

Spheroid

d)

Ellipsoid

65.

A solid bounded by a zone and the planes of the zone’s base.

a)

Spherical sector

b)

Spherical segment

c)

Lune

d)

Spherical excess

66.

The intersection of the sphere and the plane through the center is called

a)

Great circle

b)

Small circle

c)

Poles

d)

Polar distance

67.

The portion of a sphere enclosed between two great semi-circles having common end points, including the semi-circle

a)

Spherical excess

b)

Spherical segment

c)

Zone

d)

Lune

68.

A portion of the surface of a sphere included between two parallel planes.

a)

Spherical excess

b)

Spherical segment

c)

Zone

d)

Lune

69.

If R is the radius of the sphere and h is the distance between two parallel planes, the area of the zone is

a)

2 pi R h

b)

4 pi R h

c)

pi h^2 (3R-h)/3

d)

4 pi (R-h)

70.

The solid bounded by two great circles and the surface of a sphere is known as

a)

Spherical zone

b)

Spherical segment

c)

Spherical cone

d)

Spherical wedge

71.

A cone or cylinder with its top cut off by a plane oblique to the base.

a)

Frustum

b)

Prismoid

c)

Prismatoid

d)

Ungula

72.

A term given to cylinder with elliptical cross-section

a)

Cylindroid

b)

Cylindoid

c)

Ovaloid

d)

Deltroid

73.

A doughnut-like surface of revolution generated by rotating the circle through 360° in space about a line in its place but now passing through the circle.

a)

Torus

b)

Annulus

c)

Anchor

d)

All of the above

74.

A regular solid star in a shape that is radiating from center like rays of star.

a)

Envelop

b)

Caustic

c)

Evolute

d)

Pencil

75.

The regular polyhedron is a solid with all its face identical regular polygons. The regular polyhedrons are also known as

a)

Euclidian solids

b)

Pythagorean solids

c)

Platonic solids

d)

Newtonian solids

76.

There are how many regular polyhedral known to man?

a)

5

b)

3

c)

7

d)

10

77.

An icosahedron is a regular polyhedron of faces.

a)

12

b)

14

c)

16

d)

20

78.

A regular polyhedron with 6 sides is called

a)

Dodecahedron

b)

Hexahedron

c)

Tetrahedron

d)

Octahedron

79.

The face of a regular tetrahedron is a

a)

Square

b)

Pentagon

c)

Hexagon

d)

Triangle

80.

The face of a regular octahedron is a

a)

Square

b)

Pentagon

c)

Hexagon

d)

Triangle

81.

The face of a regular dodecahedron is a

a)

Square

b)

Pentagon

c)

Hexagon

d)

Triangle

82.

The face of a regular Icosahedron is a

a)

Square

b)

Pentagon

c)

Hexagon

d)

Triangle

83.

Which regular polyhedron does not have a face a triangle?

a)

Pentagram

b)

Pentagon

c)

Stellated solid

d)

Archimedean solid

84.

How many edges are there in a dodecagon?

a)

6

b)

12

c)

30

d)

8

85.

A tetrahedron has vertices.

a)

4

b)

3

c)

6

d)

5

86.

Given two solids and a plane. Supposed that every plane parallel to the given plane intersecting one of the two solids, also interacts the other and gives cross-sections with the same area, then the two solids have the same volume. This is known as the

a)

Unit postulate

b)

Plane postulate

c)

Parallel postulate

d)

Cavalieri’s postulate

87.

Who formulated the Cavalieri’s Principle?

a)

Harold Cavalieri

b)

Buenventura Cavalieri

c)

Joefry Cavalieri

d)

Carl Cabalieri

88.

A line segment that is divided into two segments, a greater a and a smaller b such that the length of a + b is to a and a is to b. Such division is known as

a)

Golden segment

b)

Golden ratio

c)

Golden proportion

d)

All of the above

89.

The volume of a paraboloid is equal to the volume of circumscribing cylinder.

a)

1/3

b)

1/2

c)

1/4

d)

2/3

90.

The portion of a sphere included between two parallel planes.

a)

Spherical wedge

b)

Spherical pyramid

c)

Spherical segment?

d)

Spherical sector

91.

The portion of a sphere generated by the revolution of a circular sector about any diameter of the circle of which the sector is a part.

a)

Spherical wedge

b)

Spherical pyramid

c)

Spherical segment

d)

Spherical sector?

92.

A solid bounded by a surface all points of which are equidistant from a point call the center.

a)

Ellipsoid

b)

Sphere?

c)

Paraboloid

d)

Hyperboloid

93.

The portion of a sphere bounded by a spherical polygon and the planes of its sides.

a)

Spherical wedge

b)

Spherical segment

c)

Spherical pyramid?

d)

Spherical sector

94.

The intersection of a sphere and a plane not passing through the center.

a)

Great circle

b)

Small circle?

c)

Poles of circle

d)

Hair circle

95.

The ends of a diameter of a sphere which is perpendicular to the plane of a circle of the sphere.

a)

Great circle

b)

Small circle

c)

Poles of a circle?

d)

Hair circle

96.

The opening between two great circle arcs

a)

Spherical polygon

b)

Spherical distance

c)

Spherical angle?

d)

Spherical arc

97.

The portion of a spherical surface bounded by three or more great circle arcs.

a)

Spherical polygon?

b)

Spherical distance

c)

Spherical angle

d)

Spherical arc

98.

A spherical polygon of the three sides.

a)

Spherical polygon

b)

Spherical wedge

c)

Spherical triangle?

d)

Spherical angle

99.

The portion of a cone included between the base and a section parallel to the base.

a)

Circle

b)

Parallelepiped

c)

Right prism

d)

Truncated cone?

100.

In general quadratic equation, if the discriminant is zero, the curve is a figure that represent a/an

a)

Parabola

b)

Circle

c)

Ellipse

d)

Hyperbola

101.

Equations relating x and y that cannot readily be solved explicitly for y as a function of x or for x as a function of y. Such equations may nonetheless determine y as a function of x or vice versa, such function is called

a)

Logarithmic function

b)

Implicit function

c)

Explicit function

d)

Continuous function

102.

In polar coordinates system, the length of the ray segment from a fixed origin is known as.

a)

Amplitude

b)

Radius vector

c)

Hypotenuse

d)

Minimum point

103.

Given the equations 3x^2 + 2x – 5y + 7 = 0. Determine the curve

a)

Ellipse

b)

Parabola

c)

Hyperbola

d)

Circle

104.

If eccentricity is less than one, then the curve is

a)

Parabola

b)

Ellipse

c)

Hyperbola

d)

Circle

105.

Of what quadrant is A, if sec A and csc A is negative?

a)

IV

b)

I

c)

III

d)

II

106.

If the general equation of the conic is Ax^2 + 2Bxy + Cy^2 + Ey + F = 0, and B^2 – 4AC > 0, then the conic is a/an

a)

Circle

b)

Parabola

c)

Hyperbola

d)

Ellipse

107.

What type of conic has equation of Ax^2 + Cy^2 + Dx + Ey + F = 0?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

108.

4x^2 – 256 = 0 is the equation of a/an

a)

Parabola

b)

Parallel lines

c)

Circle

d)

ellipse

109.

The graph of r = a + b cosθ is a

a)

Lemniscate

b)

Lituus

c)

Limacon

d)

Cardioid

110.

In an ellipse, a chord which contains a focus and is in line perpendicular to the major axis is called

a)

Focal width

b)

Conjugate axis

c)

Focal chord

d)

Latus rectum

111.

If all the y-terms have even exponents, the curve is symmetric with respect to the.

a)

X-axis

b)

Origin

c)

Y-axis

d)

Line 45° with the x-axis