Lines and Angles - 2 Free MCQ Practice Test with Solutions

Test: Lines and Angles - 2 - Question 1

Which of the following angles is classified as obtuse?

A.
45°
B.
90°
C.
135°
D.
180°

Detailed Solution: Question 1

An obtuse angle is one that is greater than 90° but less than 180°. Since 135° falls within this range, it is classified as an obtuse angle.

Test: Lines and Angles - 2 - Question 2

What is a reflex angle?

A.
An angle less than 90°
B.
An angle exactly 90°
C.
An angle greater than 180° but less than 360°
D.
An angle exactly 180°

Detailed Solution: Question 2

A reflex angle is one that measures more than 180° but less than 360°. It represents the larger angle that is formed by extending a straight angle beyond 180°.

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Test: Lines and Angles - 2 - Question 3

How many degrees are there in a full turn?

A.
90°
B.
180°
C.
270°
D.
360°

Detailed Solution: Question 3

A full turn is a complete rotation around a point, which measures 360°. This is why a circle is divided into 360 equal degrees.

Test: Lines and Angles - 2 - Question 4

What happens to the angle size if you open a book wider?

A. The angle size decreases.
B. The angle size stays the same.
C. The angle size increases.
D. The angle size becomes zero.

Detailed Solution: Question 4

As you open a book wider, the angle between the cover and the pages increases. The more you open the book, the larger the angle becomes.

Test: Lines and Angles - 2 - Question 5

Which of the following is not a type of angle based on its measure?

A.
Acute angle
B.
Obtuse angle
C.
Parallel angle
D.
Reflex angle

Detailed Solution: Question 5

The correct answer is C: Parallel angle.

Parallel angle is not a type of angle based on its measure. The other options are types of angles:

Acute angle: Less than 90°.
Obtuse angle: Greater than 90° but less than 180°.
Reflex angle: Greater than 180° but less than 360°.

Parallel refers to lines that never meet, not an angle.

Test: Lines and Angles - 2 - Question 6

What is the name of the line that divides an angle into two equal parts?

A.
Angle bisector
B.
Perpendicular bisector
C.
Median
D.
Altitude

Detailed Solution: Question 6

An angle bisector is a line or ray that divides an angle into two equal parts, creating two angles of the same measure.

Test: Lines and Angles - 2 - Question 7

The number of acute angles in the given figure is

A.
2
B.
3
C.
4
D.
1

Detailed Solution: Question 7

Let's examine the angles in the figure:

45° is an acute angle.
40° is an acute angle.
30° is an acute angle.
65° is an acute angle.

All angles that are less than a right angle or in other words, less than 90 degree. Such angles are called acute angles

(c) 4 acute angles.

Test: Lines and Angles - 2 - Question 8

The number of line segments in the given figure is

A.
5
B.
10
C.
15
D.
20

Detailed Solution: Question 8

Let's break it down in a simple way:

In the given figure, we have 5 points labelled A, B, C, D, and E.

To find how many line segments can be formed, we need to connect any two points with a straight line. A line segment is a straight line connecting two points.

With 5 points, we can connect each point to every other point. For example:

A can connect to B, C, D, and E.
B can connect to C, D, and E (but we already counted AB).
C can connect to D and E (we've already counted AB, AC, and AD).
D can connect to E.

If we count all the connections, we find a total of 10 line segments.

Thus, the answer is 10 line segments.

Test: Lines and Angles - 2 - Question 9

Number of lines which can be drawn passing through two given points

A.
1
B.
2
C.
3
D.
An infinite number

Detailed Solution: Question 9

If you are given two distinct points, only one straight line can pass through both of them. This is a basic rule in geometry.
There can be no more than one line passing through two points because a straight line is uniquely determined by any two points on it.

So, the answer is 1 line.

Test: Lines and Angles - 2 - Question 10

Measures of the shorter angle between hour and minute hands of a clock at 9 0 ’clock is

A.
60°
B.
90°
C.
75°
D.
30°

Detailed Solution: Question 10

The minute hand is at 12
The hour hand is at 9

How do we find the angle between them?

A clock is a circle. A circle has 360 degrees.
There are 12 numbers on a clock.
So, the space between each number is:
360 ÷ 12 = 30 degrees

Now count how many numbers are between 9 and 12:

From 9 to 12, there are 3 numbers (9 to 10, 10 to 11, 11 to 12)

So, the angle is:

3 × 30 = 90 degrees

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