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SBC Math 7 First Quarter (Geometry & Operation of Rational num.

Total questions: 127

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

What are the straight edges of a polygon called?

a)

Diagonals

b)

Vertices

c)

Sides

d)

Angles

2.

The points where two sides of a polygon meet are called?

a)

Sides

b)

Diagonals

c)

Vertices

d)

Edges

3.

Lines that connect non-adjacent vertices in a polygon are called?

a)

Diagonals

b)

Sides

c)

Chords

d)

Arcs

4.

A polygon where all interior angles are less than 180° is called?

a)

Concave polygon

b)

Regular polygon

c)

Convex polygon

d)

Irregular polygon

5.

A polygon with at least one interior angle greater than 180° is known as?

a)

Convex polygon

b)

Concave polygon

c)

Irregular polygon

d)

Regular polygon

6.

A polygon where all sides and angles are equal is called?

a)

Irregular polygon

b)

Regular polygon

c)

Concave polygon

d)

Quadrilateral

7.

A polygon with unequal sides and angles is called?

a)

Regular polygon

b)

Concave polygon

c)

Convex polygon

d)

Irregular polygon

8.

What is the total length of all the sides of a polygon called?

a)

Diagonal

b)

Perimeter

c)

Area

d)

Sector

9.

The space enclosed within the sides of a polygon is known as?

a)

Diagonal

b)

Area

c)

Perimeter

d)

Volume

10.

What is an angle formed inside a polygon called?

a)

Interior angle

b)

Exterior angle

c)

Right angle

d)

Acute angle

11.

What is an angle formed outside a polygon by extending one side called?

a)

Interior angle

b)

Exterior angle

c)

Supplementary angle

d)

Reflex angle

12.

A four-sided polygon is known as a?

a)

Pentagon

b)

Quadrilateral

c)

Hexagon

d)

Heptagon

13.

What do we call a five-sided polygon?

a)

Pentagon

b)

Octagon

c)

Hexagon

d)

Decagon

14.

A polygon with six sides is called a?

a)

Nonagon

b)

Octagon

c)

Hexagon

d)

Heptagon

15.

A polygon with seven sides is called a?

a)

Nonagon

b)

Octagon

c)

Decagon

d)

Heptagon

16.

A polygon with eight sides is known as an?

a)

Nonagon

b)

Octagon

c)

Hexagon

d)

Pentagon

17.

What do we call a polygon with nine sides?

a)

Nonagon

b)

Decagon

c)

Heptagon

d)

Octagon

18.

A ten-sided polygon is called?

a)

Octagon

b)

Decagon

c)

Pentagon

d)

Heptagon

19.

An angle less than 90° is called?

a)

Obtuse angle

b)

Acute angle

c)

Right angle

d)

Reflex angle

20.

An angle equal to 90° is called?

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

Reflex angle

21.

An angle greater than 90° but less than 180° is called?

a)

Acute angle

b)

Obtuse angle

c)

Right angle

d)

Straight angle

22.

What do we call an angle equal to 180°?

a)

Reflex angle

b)

Right angle

c)

Straight angle

d)

Acute angle

23.

Two angles that add up to 90° are called?

a)

Supplementary angles

b)

Vertical angles

c)

Complementary angles

d)

Adjacent angles

24.

Two angles that add up to 180° are called?

a)

Complementary angles

b)

Adjacent angles

c)

Vertical angles

d)

Supplementary angles

25.

Angles that share a common side are called?

a)

Complementary angles

b)

Vertical angles

c)

Adjacent angles

d)

Alternate interior angles

26.

Angles opposite each other when two lines intersect are called?

a)

Adjacent angles

b)

Corresponding angles

c)

Vertical angles

d)

Supplementary angles

27.

A triangle where all sides and angles are equal is called?

a)

Equilateral triangle

b)

Isosceles triangle

c)

Scalene triangle

d)

Right triangle

28.

A triangle where two sides and two angles are equal is called?

a)

Equilateral triangle

b)

Isosceles triangle

c)

Scalene triangle

d)

Right triangle

29.

A triangle where no sides and no angles are equal is called?

a)

Equilateral triangle

b)

Isosceles triangle

c)

Scalene triangle

d)

Acute triangle

30.

A triangle with one 90° angle is called a?

a)

Right triangle

b)

Obtuse triangle

c)

Scalene triangle

d)

Isosceles triangle

31.

The longest side of a right triangle, opposite the right angle, is called?

a)

Base

b)

Hypotenuse

c)

Leg

d)

Height

32.

The two shorter sides of a right triangle are called?

a)

Legs

b)

Hypotenuse

c)

Base

d)

Altitudes

33.

The point where the medians of a triangle intersect is called the?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

34.

The point where the angle bisectors of a triangle intersect is called the?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

35.

The point where the perpendicular bisectors of the sides of a triangle intersect is called the?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

36.

The point where the altitudes of a triangle intersect is called the?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

37.

The distance from the center of a circle to any point on the circle is called?

a)

Radius

b)

Diameter

c)

Circumference

d)

Chord

38.

Twice the radius of a circle is called the?

a)

Radius

b)

Circumference

c)

Diameter

d)

Chord

39.

The perimeter or boundary of a circle is called?

a)

Arc

b)

Radius

c)

Diameter

d)

Circumference

40.

The space enclosed within a circle is known as?

a)

Radius

b)

Area

c)

Circumference

d)

Diameter

41.

A line segment that connects two points on a circle is called a?

a)

Arc

b)

Tangent

c)

Chord

d)

Sector

42.

A line that touches a circle at exactly one point is called a?

a)

Chord

b)

Tangent

c)

Secant

d)

Arc

43.

A line that intersects a circle at two points is called a?

a)

Tangent

b)

Chord

c)

Secant

d)

Diameter

44.

An angle whose vertex is at the center of the circle is called a?

a)

Central angle

b)

Inscribed angle

c)

Interior angle

d)

Exterior angle

45.

An angle whose vertex is on the circle is called a?

a)

Central angle

b)

Inscribed angle

c)

Exterior angle

d)

Interior angle

46.

A region enclosed by two radii and the arc between them is called a?

a)

Segment

b)

Sector

c)

Arc

d)

Chord

47.

A region enclosed by a chord and the corresponding arc is called a?

a)

Sector

b)

Arc

c)

Segment

d)

Tangent

48.

A straight one-dimensional figure that extends infinitely in both directions is called a?

a)

Line segment

b)

Line

c)

Ray

d)

Chord

49.

A part of a line with two distinct endpoints is called a?

a)

Line

b)

Line segment

c)

Ray

d)

Chord

50.

A part of a line that starts at a point and extends infinitely in one direction is called a?

a)

Line

b)

Line segment

c)

Ray

d)

Chord

51.

Points that lie on the same line are called?

a)

Collinear points

b)

Coplanar points

c)

Intersecting points

d)

Parallel points

52.

Lines that are in the same plane and never intersect are called?

a)

Perpendicular lines

b)

Parallel lines

c)

Intersecting lines

d)

Secant lines

53.

Lines that intersect at a 90° angle are called?

a)

Parallel lines

b)

Intersecting lines

c)

Perpendicular lines

d)

Tangent lines

54.

Lines that cross or meet at a point are called?

a)

Parallel lines

b)

Perpendicular lines

c)

Tangent lines

d)

Intersecting lines

55.

The point that divides a line segment into two equal parts is called the?

a)

Midpoint

b)

Centroid

c)

Endpoint

d)

Vertex

56.

A flat two-dimensional surface that extends infinitely in all directions is called a?

a)

Line

b)

Ray

c)

Plane

d)

Segment

57.

Points that lie on the same plane are called?

a)

Collinear points

b)

Parallel points

c)

Coplanar points

d)

Intersecting points

58.

Planes that never intersect are called?

a)

Intersecting planes

b)

Perpendicular planes

c)

Parallel planes

d)

Tangent planes

59.

Planes that cross each other along a line are called?

a)

Parallel planes

b)

Intersecting planes

c)

Coplanar planes

d)

Secant planes

60.

If point T is the midpoint of line segment SR, and the length of line segment TR is 24 inches. Then what is the length of the line segment SR?

(a)  

61.

If two angles are adjacent and supplementary then what is their relationship?

(a)  

62.

What is a term use to describe the undefined geometric concept of a a location with no size?

(a)  

63.

In a triangle, if one angle measures 120°, what is the measure of the adjacent exterior angle?

a)

50°

b)

60°

c)

70°

d)

80°

64.

Two adjacent angles are part of a parallelogram. If one angle measures 110°, what is the measure of the adjacent angle?

a)

60°

b)

70°

c)

80°

d)

90°

65.

Two angles form a linear pair. If one angle measures 130°, what is the measure of the other angle?

a)

40°

b)

50°

c)

60°

d)

70°

66.

Two angles are complementary. If one angle measures 35°, what is the measure of the other angle?

a)

45°

b)

55°

c)

65°

d)

75°

67.

Two angles are supplementary. If one angle measures 85°, what is the measure of the other angle?

a)

95°

b)

105°

c)

115°

d)

125°

68.

In a triangle, if one interior angle measures 70°, what is the measure of its adjacent exterior angle?

a)

100°

b)

110°

c)

120°

d)

130°

69.

The interior angles of a triangle measure 50°, 60°, and 70°. What is the measure of the largest exterior angle?

a)

100°

b)

110°

c)

120°

d)

130°

70.

If an exterior angle of a polygon measures 80°, what is the measure of its corresponding interior angle?

a)

100°

b)

120°

c)

140°

d)

160°

71.

What is the measure of the exterior angle of a regular pentagon?

a)

60°

b)

72°

c)

90°

d)

108°

72.

A trapezoid has the following interior angles: 80°, 90°, 80°. What is the measure of the fourth angle?

a)

90°

b)

100°

c)

110°

d)

120°

73.

What is the measure of angle x?

a)

45

b)

60

c)

65

d)

75

74.

Find the measure of the indicated angle. 

a)

95

b)

85

c)

35

d)

45

75.

Find the angle sum of the interior angles of the polygon.

a)

180° 

b)

540° 

c)

720° 

d)

1080° 

76.

Find the value of X.

a)

90

b)

98

c)

100

d)

118

77.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

78.

Which of the following best defines a parallelogram?

a)

A quadrilateral with four right angles

b)

A quadrilateral where opposite sides are parallel and equal in length

c)

A quadrilateral with only one pair of parallel sides

d)

A quadrilateral with all sides and angles equal

79.

Which of the following best defines a square?

a)

A quadrilateral with two pairs of parallel sides and unequal diagonals

b)

A quadrilateral with one pair of parallel sides

c)

A quadrilateral with four equal sides and four right angles

d)
  • A quadrilateral with four equal sides but no right angles

80.

Which of the following best defines a trapezoid?

a)

A quadrilateral with four equal sides and four right angles

b)

A quadrilateral with only one pair of parallel sides

c)

A quadrilateral with opposite sides equal and parallel

d)

A quadrilateral with no parallel sides

81.

Which of the following best defines a rectangle?

a)

A parallelogram with four right angles

b)

A quadrilateral with four equal sides but no right angles

c)

A quadrilateral with all sides and angles equal

d)

A quadrilateral with only one pair of parallel sides

82.

Which of the following best defines a rhombus?

a)

A quadrilateral with four equal sides and four right angles

b)

A quadrilateral with two pairs of parallel sides and unequal diagonals

c)

A quadrilateral with only one pair of parallel sides

d)

A quadrilateral with four equal sides

83.

John had 5 apples. He bought 6 more but then gave away 8 and ate 9. How many apples does he have now?

a)

-5

b)

5

c)

21

d)

21

84.

A group of students are working on a project to convert fractions to decimal numbers in a real-world context. They are using this knowledge to understand the distribution of resources in their community, ensuring fairness and equality. They come across the fraction 3/8. If they were to convert this fraction to a decimal number, what would it be? This question requires higher-order thinking skills as it involves application of mathematical knowledge in a real-world context.

a)

0.375

b)

0.38

c)

0.8375

d)

0.3875

85.

-6 + 8 - 14 + 17

a)

-5

b)

5

c)

-19

d)

-21

86.

52278+235^2-27-8+2^3

a)

-18

b)

-2

c)

14

d)

52

87.

(2)39+1281+2\left(-2\right)^3-9+12-8^1+2

a)

-15

b)

5

c)

-11

d)

7

88.

10+(5)242(8)10+\left(-5\right)^2-4^2-\left(-8\right)

a)

-23

b)

59

c)

27

d)

11

89.

7.8÷6-7.8\div-6  

a)

-1.3

b)

1.3

c)

1.8

d)

-3.2

90.

89+(29)-\frac{8}{9}+\left(-\frac{2}{9}\right)  

a)

69-\frac{6}{9}  

b)

1 19-1\ \frac{1}{9}  

c)

1 191\ \frac{1}{9}  

d)

23\frac{2}{3}  

91.

-10 + 8

a)

-2

b)

2

c)

18

d)

-18

92.

convert 23\frac{2}{3} to decimal number...

a)

0.6

b)

0.66

c)

0.70

d)

6.6

93.

Convert 54\frac{5}{4} to decimal number...

a)

1.20

b)

1.25

c)

1.35

d)

1.4

94.

Convert 67-\frac{6}{7} to decimal number...

a)
-0.857
b)
-0.875
c)
-0.765
d)

-0.5871

95.

convert to 45=...%\frac{4}{5}=...\%

a)

20%

b)
40%
c)

70%

d)

80%

96.

(+)×() =?\left(+\right)\times\left(-\right)\ =?  

a)

POSITIVE 

b)

NEGATIVE

97.

()×(+) =?\left(-\right)\times\left(+\right)\ =?  

a)

POSITIVE 

b)

NEGATIVE

98.

So far do you understand majority of the questions in this slideshow?

a)

YES

b)

NO

c)

KINDA

99.
a)
2/5
b)
5/6
c)
4/6
d)
1/5
100.

4.36+57.98=

(a)  

101.
Where would you place -6?
a)
In the whole number circle because it's a whole number, integer, and rational number.
b)
In the integer circle because it's an integer and rational number only.
c)
In the rational circle because it's only a rational number.
d)
I'm not sure because I don't know what rational means.
102.

b5 =4\frac{b}{5}\ =4  

a)

b = 9

b)

b = 1

c)

b = 20

d)

b = 15

103.


q+2=7q+2=7  

a)

q = 9

b)

q = 5

c)

q = 14

d)

q = 11

104.

In a distance problem if both numbers are negative

a)

add

b)

subtract

c)

positive

d)

negative

e)

take sign of number with greater absolute value

105.

4 x 5 - 2 + 4

a)

14

b)

16

c)

22

d)

28

106.

8 x 3 - 10 =

a)

14

b)

-54

c)

20

d)

12

107.
Explain the error(s).
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
108.

62/3 - 5/8

a)

20.04

b)

36.2

c)

12

d)

18

109.

3/4 / 1/2=

a)

2.1

b)

1.5

c)

1.75

d)

0.25

110.

-7 x 6

(a)  

111.

0.5(0.5)

a)

2.5

b)

0.25

c)

25

d)

pineapples

112.

67(89)-\frac{6}{7}\left(-\frac{8}{9}\right)  

a)

1621\frac{16}{21}  

b)

1621-\frac{16}{21}  

c)

487\frac{48}{7}  

d)

487-\frac{48}{7}  

113.

-12.5(-2.4)

a)

26.8

b)

-30

c)

30

d)

-26.8

114.
Multiply and simplify if possible.
a)
b)
¼
c)
2 ⅓
d)
115.

27(35)-\frac{2}{7}\left(\frac{3}{5}\right)  

a)

1021-\frac{10}{21}  

b)

1021\frac{10}{21}  

c)

635\frac{6}{35}  

d)

635-\frac{6}{35}  

116.

-17.33(0.44)

a)

7.6252

b)

34.1340

c)

-34.1340

d)

-7.6252

117.

-7 x 9 = ?

a)

63

b)

-56

c)

-56

d)

-63

118.

78×19 = ?-\frac{7}{8}\times\frac{1}{9}\ =\ ?  

a)

764\frac{7}{64}  

b)

772-\frac{7}{72}  

c)

772\frac{7}{72}  

d)

764-\frac{7}{64}  

119.

Is (-5) x (-9) negative or positive?

a)

Negative

b)

Positive

120.

In multiplication both factors are positive

a)

always positive

b)

always negative

121.
What is the difference of these fractions in lowest terms?
a)
7/9
b)
1/5
c)
12/20
d)
1/20
122.

The answer to this expression is ... 27 + 4 12-\frac{2}{7}\ +\ 4\ \frac{1}{2}  

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

d)

All of the above.

123.

Perform the indicated operation.

1/8 + 3/8

Simplify answer.

(a)  

124.

When multiplying fractions, a common denominator is required.

a)

TRUE

b)

FALSE

125.

John is a fruit vendor. He has 2/3 of a bushel of apples and he wants to divide it equally among his 5/6 of a bushel of oranges. What will be the quotient of apples to oranges if he does so?

Reduce, or simplify the answer.

Consider the following options and choose the correct one:

a)

12 / 15

b)

5 / 9

c)

4 / 5

d)

-1 / 6

126.

Perform the indicated operation.

(4/5) ÷ (5/6)

Write answer in lowest terms.

a)

24 / 25

b)

4 / 6

c)

2 / 3

d)

24 / 5

127.

A group of friends decided to share a pizza. The pizza was cut into 6 equal slices. One friend ate 1/6 of the pizza and another friend ate 2/3 of the pizza. If the amount of pizza eaten by each friend is represented by a fraction, what is the product of the fractions representing the amount of pizza eaten by the two friends? Simplify your answer.

a)

1 / 4

b)

9

c)

1 / 9

d)

3 / 12