Are these practice questions for Lines and Angles based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 6 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Lines and Angles free?

Yes. Every chapter includes free practice questions for Class 6 students to get you started.

What types of questions are included?

The practice set for Lines and Angles mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Lines and Angles for full coverage.

How many practice questions are there for Lines and Angles?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Lines and Angles Class 6 Mathematics Practice Questions with Answers

easy

A student claims, "If I make the arms of an angle longer, the angle becomes bigger." Critique this statement.

Try solving it in your notebook first, then check the solution.

easy

Justify why an infinite number of lines can pass through a single point, but only one unique line can pass through two distinct points.

Try solving it in your notebook first, then check the solution.

easy

Explain the difference between a line and a ray.

Try solving it in your notebook first, then check the solution.

easy

Name the type of angle whose measure is greater than

90^\circ

but less than

180^\circ

.

Try solving it in your notebook first, then check the solution.

easy

Define a line segment.

Try solving it in your notebook first, then check the solution.

easy

Evaluate the following statement and justify your conclusion: "A ray has a definite length because it has a starting point."

Try solving it in your notebook first, then check the solution.

easy

A complete turn is

360^\circ

. Calculate the measure of an angle that represents a quarter of a turn.

Try solving it in your notebook first, then check the solution.

easy

What is the measure of a straight angle in degrees?

Try solving it in your notebook first, then check the solution.

easy

Using a protractor, draw an angle of

140^\circ

. Label it as

\angle PQR

. Analyze and classify this angle.

Try solving it in your notebook first, then check the solution.

easy

Identify the vertex and arms in the angle named

\angle PQR

.

Try solving it in your notebook first, then check the solution.

easy

Describe the following types of angles with one example measure for each: acute, right, and obtuse.

Try solving it in your notebook first, then check the solution.

easy

Examine the angle with a measure of

215^\circ

and classify it as acute, obtuse, right, straight, or reflex.

Try solving it in your notebook first, then check the solution.

medium

Imagine a ray named

\overrightarrow{MN}

. Can this ray also be named

\overrightarrow{NM}

? Explain your reasoning.

Try solving it in your notebook first, then check the solution.

medium

Formulate a general rule to find the measure of the angle formed by the hands of a clock at exactly H o'clock, for any hour H from 1 to 6. Justify your rule.

Try solving it in your notebook first, then check the solution.

medium

Propose a method to create a

45^\circ

angle by only folding a standard rectangular (or square) piece of paper.

Try solving it in your notebook first, then check the solution.

medium

A figure has four points labeled P, Q, R, and S. Lines are drawn to connect P to Q, Q to R, R to S, and S to P. List all the line segments that form the sides of this shape.

Try solving it in your notebook first, then check the solution.

medium

A pizza is cut into 8 equal slices. Calculate the angle of each slice at the center. Analyze the angle and classify it.

Try solving it in your notebook first, then check the solution.

medium

Follow these steps to construct a figure:

Draw a straight line and mark points P, R, Q on it in that order.
From point R, draw a ray $\overrightarrow{RS}$ such that $\angle QRS = 75^\circ$ .
From point R, draw another ray $\overrightarrow{RT}$ on the same side of the line PQ as RS, such that $\angle PRT = 40^\circ$ . Analyze the figure and calculate the measure of $\angle SRT$ .

Try solving it in your notebook first, then check the solution.

medium

List two real-life examples that can represent a point.

Try solving it in your notebook first, then check the solution.

medium

Justify why a reflex angle cannot be an interior angle of any triangle.

Try solving it in your notebook first, then check the solution.

medium

Evaluate two methods of comparing angles: (1) visual estimation and (2) superimposition using tracing paper. Justify which method is more reliable for geometric purposes.

Try solving it in your notebook first, then check the solution.

medium

Examine the figure where two lines

\overleftrightarrow{AB}

and

\overleftrightarrow{CD}

intersect at point O. Identify and name: a) A pair of rays starting from point O. b) One acute angle. c) One obtuse angle.

Try solving it in your notebook first, then check the solution.

medium

An angle measures

45^\circ

. If you double this angle, what type of angle do you get? Analyze and classify the new angle.

Try solving it in your notebook first, then check the solution.

medium

In the given figure,

\angle AOB = 35^\circ

,

\angle BOC = 55^\circ

, and

\angle COD = 90^\circ

. The points A, O, E form a straight line. Analyze the figure and calculate the measure of: a)

\angle AOC

b)

\angle BOD

c)

\angle DOE

Try solving it in your notebook first, then check the solution.

medium

Summarize the key properties of a point in geometry.

Try solving it in your notebook first, then check the solution.

medium

Identify the types of angles formed by the hands of a clock at the following times: (a) 9:00, (b) 4:00, (c) 6:00.

Try solving it in your notebook first, then check the solution.

medium

Critique the following measurement procedure. A student places the center of a protractor on one of the arms of

\angle XYZ

(not the vertex) and reads the numbers. Explain why this method is incorrect and propose the correct procedure.

Try solving it in your notebook first, then check the solution.

medium

The angle between the hour and minute hands of a clock at 9 o'clock is a right angle (

90^\circ

). Calculate the reflex angle between the hands at the same time.

Try solving it in your notebook first, then check the solution.

medium

A student designs a wheelchair ramp that makes a

150^\circ

angle with the level ground. Critique this design from a geometric and practical standpoint. Propose a more suitable angle, create a new diagram, and justify your improved design.

Try solving it in your notebook first, then check the solution.

medium

A student claims that the sum of any two acute angles is always an obtuse angle. Critique this claim and provide a justification with at least two counter-examples.

Try solving it in your notebook first, then check the solution.

medium

Explain what a reflex angle is. If an angle measures

50^\circ

, what is the measure of its corresponding reflex angle?

Try solving it in your notebook first, then check the solution.

medium

Classify the following angles based on their measures and provide a brief explanation for each classification:

85^\circ

,

180^\circ

,

91^\circ

,

300^\circ

,

90^\circ

.

Try solving it in your notebook first, then check the solution.

medium

Propose a complete set of rules that another student could follow to classify any given triangle as acute, right, or obtuse, based on its angle measures.

Try solving it in your notebook first, then check the solution.

medium

Describe the process of measuring an angle using a protractor. List the key steps to ensure an accurate measurement.

Try solving it in your notebook first, then check the solution.

medium

Analyze the shapes of the capital letters 'A' and 'L'. Which letter contains a right angle?

Try solving it in your notebook first, then check the solution.

medium

In a figure, the line

\overleftrightarrow{AOB}

is a straight line. Ray

\overrightarrow{OC}

stands on it such that

\angle BOC = 55^\circ

. Calculate the measure of

\angle AOC

.

Try solving it in your notebook first, then check the solution.

hard

A figure is formed by three rays

\overrightarrow{OA}

,

\overrightarrow{OB}

, and

\overrightarrow{OC}

originating from a common point O. Given that

\angle AOB

is a right angle and

\angle BOC

is twice the measure of

\angle AOC

. Analyze this arrangement to calculate the measures of

\angle AOC

and

\angle BOC

, assuming all three angles together form a complete angle around point O.

Try solving it in your notebook first, then check the solution.

hard

Formulate a hypothesis for the total number of distinct angles created by 'n' rays drawn from a common vertex. Test your hypothesis for n=3 and n=4 rays, and provide a logical justification for why your formula works.

Try solving it in your notebook first, then check the solution.

hard

Explain the concepts of a point, line segment, line, and ray. Draw a single figure that illustrates all four concepts and label them clearly.

Try solving it in your notebook first, then check the solution.

hard

A ship is sailing due East. It makes a turn of

135^\circ

clockwise. It sails for some distance and then makes another turn of

45^\circ

anticlockwise. Analyze the ship's movements and calculate its final direction of travel.

Try solving it in your notebook first, then check the solution.

hard

Design a simple logo for a company using only line segments. The design must contain exactly two acute angles, two obtuse angles, and one right angle. Draw and label your design with the angle types.

Try solving it in your notebook first, then check the solution.

hard

Create a five-sided concave polygon. Label all its interior angles and classify each one as acute, right, obtuse, or reflex. Justify why your shape is classified as concave.

Try solving it in your notebook first, then check the solution.

hard

Three angles meet at a common point O. Two of the angles measure

110^\circ

and

130^\circ

. Calculate the measure of the third angle.

Try solving it in your notebook first, then check the solution.

hard

Create a set of step-by-step instructions for a friend to draw a kite shape using only a ruler and a protractor. Justify that the resulting shape meets the geometric definition of a kite (a quadrilateral with two distinct pairs of equal-length adjacent sides).

Try solving it in your notebook first, then check the solution.

hard

The minute hand of a clock moves from the number 12 to the number 5. Calculate the angle it has turned through.

Try solving it in your notebook first, then check the solution.

Lines and AnglesClass 6 Mathematics Practice Questions