Are these practice questions for Patterns In Mathematics 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 Patterns In Mathematics 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 Patterns In Mathematics 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 Patterns In Mathematics for full coverage.

How many practice questions are there for Patterns In Mathematics?

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

Patterns In Mathematics Class 6 Mathematics Practice Questions with Answers

easy

Formulate the next term in the sequence of Virahānka numbers:

1, 2, 3, 5, 8, 13, \ldots

and justify your reasoning.

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easy

Create a number sequence starting with 4, where the rule is 'double the number and subtract 3'. Formulate the first four terms of this sequence.

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easy

Identify the rule for the sequence

1, 3, 9, 27, \ldots

and write the next two numbers in the sequence.

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easy

The sequence of triangular numbers is formed by the sum of consecutive counting numbers:

1, 1+2=3, 1+2+3=6, \ldots

. Calculate the 8th triangular number.

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easy

Analyze the sequence

7, 11, 15, 19, \ldots

and calculate the next two numbers in the sequence.

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easy

Name the branch of mathematics that studies patterns in whole numbers.

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easy

List the number of sides for the first four regular polygons mentioned in the chapter. What number sequence do you get?

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easy

Summarize the rule to generate the sequence of 'Powers of 2'. List the first six terms starting from

1

.

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easy

Analyze the sequence of cube numbers:

1, 8, 27, 64, \ldots

. Calculate the 6th term in this sequence.

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easy

Identify the next number in the sequence of even numbers:

2, 4, 6, 8, \ldots

.

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easy

Justify with a pictorial explanation why

1+2+3+2+1

equals

9

. Your explanation must show how the numbers in the sum correspond to parts of your picture.

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easy

Examine the sequence of powers of 5:

1, 5, 25, 125, \ldots

. Calculate the next term in this sequence.

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easy

List the first five square numbers.

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easy

Define mathematics as described in the chapter.

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medium

Recall the relationship between adding consecutive odd numbers starting from 1 and the sequence of square numbers. Provide an example using the first four odd numbers.

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medium

A student claims that any number in the sequence of 'Powers of 3' (

1, 3, 9, 27, \ldots

) must be an odd number. Justify whether this statement is true or false for all numbers in the sequence.

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medium

A pattern is formed by adding consecutive odd numbers:

S_1 = 1

,

S_2 = 1+3

,

S_3 = 1+3+5

, and so on. Evaluate the relationship between the number of terms added and the resulting sum. Justify this relationship with a pictorial representation for

S_4

.

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medium

Propose a rule to find the number of line segments in the sequence of 'Complete Graphs' shown in the source text. Use your rule to predict the number of lines in the next shape in the sequence (a graph with 6 points).

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medium

Design a new sequence called 'Rectangular Numbers' where the shapes are rectangles with the length always being one unit more than the width. Formulate the first four terms of this sequence, provide a pictorial representation for each, and propose a formula for the

n^{th}

term.

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medium

Evaluate the following sequence which is supposed to be the 'Triangular numbers':

1, 3, 6, 10, 14, 21, \ldots

. Critique the sequence to find the incorrect term and propose the correct number.

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medium

The sequence of pentagonal numbers starts

1, 5, 12, 22, \ldots

. These can be visualized by arranging dots in the shape of a pentagon. Analyze the difference between consecutive terms and use this pattern to calculate the next two pentagonal numbers.

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medium

The number of lines in a complete graph with

n

vertices is given by the sequence of triangular numbers, but starting from the 0th term (0 lines for 1 vertex). A complete graph with 2 vertices has 1 line, with 3 vertices has 3 lines, with 4 vertices has 6 lines. Analyze this pattern and calculate the number of lines in a complete graph with 7 vertices.

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medium

Demonstrate with a picture why adding the first four consecutive even numbers (

2+4+6+8

) results in a number that can be represented as a rectangle with sides

n

and

n+1

, where

n

is the number of terms added.

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medium

Critique the following statement: 'To get the next triangular number, you just double the previous one.' Propose the correct rule and use it to find the triangular number that comes after 28.

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medium

Explain the pattern for each of the following sequences and write the next three terms for each. a) Odd numbers:

1, 3, 5, 7, \ldots

b) Triangular numbers:

1, 3, 6, 10, \ldots

c) Powers of 3:

1, 3, 9, 27, \ldots

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medium

A visual pattern is made with matchsticks. The first shape is a triangle (3 matchsticks), the second is two triangles joined at a vertex (6 matchsticks), the third is three triangles (9 matchsticks). Analyze this pattern and calculate how many matchsticks are needed for the fifth shape.

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medium

Describe the pattern in the sequence of Virahānka numbers:

1, 2, 3, 5, 8, \ldots

and list the next three terms.

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medium

Create a visual pattern using squares where the number of squares in each step follows the sequence of 'Odd numbers' (

1, 3, 5, 7, \ldots

). Draw the first three shapes in your pattern and justify how it follows the rule.

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medium

A sequence is formed by taking the sum of a counting number and its corresponding square number. The sequence starts

1+1^2=2

,

2+2^2=6

,

3+3^2=12

,

4+4^2=20, \ldots

. Calculate the next three terms of this sequence.

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medium

Examine the pattern formed by adding consecutive odd numbers, but starting from 3:

3

,

3+5=8

,

3+5+7=15

,

3+5+7+9=24, \ldots

. Calculate the next two terms in this sequence. Compare this sequence to the sequence of square numbers.

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medium

Describe the sequence of cube numbers. Write the first five terms of this sequence.

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medium

A sequence is formed by adding the two preceding numbers to get the next number, similar to the Virahānka numbers. If the sequence starts with

2, 3, \ldots

, calculate the first five terms.

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medium

What is the name given to the branch of mathematics that studies patterns in shapes?

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medium

Explain why the numbers

1, 3, 6, 10, 15, \ldots

are called triangular numbers. You may use a simple diagram for the number 6.

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hard

A pattern is formed by adding counting numbers up to a number

n

and then back down, but excluding

n

. For example, for

n=3

, the sum is

1+2+2+1=6

. For

n=4

, the sum is

1+2+3+3+2+1=12

. Analyze this pattern and calculate the sum for

n=6

.

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hard

Identify and describe the number sequences related to the following shape sequences from your chapter: a) The number of lines in the sequence of Complete Graphs. b) The number of small squares in the sequence of Stacked Squares. c) The number of small triangles in the sequence of Stacked Triangles.

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hard

Propose a pictorial proof to justify the pattern that the sum of two consecutive triangular numbers is always a square number. Your proof should use the 3rd and 4th triangular numbers (

T_3=6

and

T_4=10

) as an example, and then justify why this works in general.

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hard

Evaluate which sequence grows faster after the 4th term: the sequence of 'Squares' (

1, 4, 9, 16, \ldots

) or the sequence of 'Powers of 2' (

1, 2, 4, 8, \ldots

). Justify your conclusion by comparing the 5th and 6th terms of each sequence.

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hard

Formulate a rule for the sequence

2, 6, 12, 20, 30, \ldots

. Justify your rule by showing how it generates the given terms.

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hard

Justify why adding any two consecutive even numbers will never result in an odd number.

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hard

Describe the pictorial relationship that explains why the sum of the first few odd numbers results in a square number. Use the example

1 + 3 + 5 + 7 = 16

to illustrate your explanation.

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hard

Analyze the sequence formed by the sum of the first

n

cube numbers:

1^3=1

,

1^3+2^3=9

,

1^3+2^3+3^3=36

,

1^3+2^3+3^3+4^3=100, \ldots

. Compare this sequence

1, 9, 36, 100, \ldots

with the sequence of triangular numbers (

1, 3, 6, 10, \ldots

). Calculate the sum of the first 5 cube numbers using the pattern you found.

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hard

A pattern of 'Stacked L-shapes' is created. The first shape is a

2 \times 2

square with one corner square removed (3 squares). The second is a

3 \times 3

square with a

2 \times 2

square removed from the corner (5 squares). The third is a

4 \times 4

square with a

3 \times 3

square removed (7 squares).

Analyze the pattern to find the number of squares in the 5th shape.
Write a general rule to calculate the number of squares for the nth shape.

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Patterns In MathematicsClass 6 Mathematics Practice Questions