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Class 5Mathematics & Statistics2026-27 Syllabus

Chapter 15 Patterns Problem Set 53 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 15 Patterns Problem Set 53. Step-by-step solved exercises, numerical problems, and digest answers.

11 Solved Questions5 Diagrams643 words

BalbhartiMaharashtra Board Class 5 Maths SolutionsChapter 15 Patterns Problem Set 53 Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 5 Maths Solutions Chapter 15 Patterns Problem Set 53

Question 1 Maharashtra Board Solution
Find the square numbers from the list given below. 5, 9, 12, 16, 50, 60, 64, 72, 80, 81
Solution & Step-by-Step Answer:
9,16, 64, 81, 4, 25, 49 are square numbers.
Question 2 Maharashtra Board Solution
Which are the triangular numbers in the given list? 3, 6, 8, 9, 12, 15, 16, 20, 21, 42
Solution & Step-by-Step Answer:
3, 6, 15, 21, 28, 10, 45, 55 are triangular numbers.
Question 3 Maharashtra Board Solution
Name a number which is square as well as triangular.
Solution & Step-by-Step Answer:
36 is square as well as triangular number.
Question 4 Maharashtra Board Solution
If 4 is the first square number, which is the tenth one?
Solution & Step-by-Step Answer:
121 is the tenth square number.
Question 5 Maharashtra Board Solution
If 3 is the first triangular number, which is the tenth one?
Solution & Step-by-Step Answer:
66 is the tenth triangular number.

Think about it.

Activity

Make a collection of pictures in which you can see square or triangular numbers.

Patterns in floor tiles

The tiles in each picture below form a specific pattern. Observe that there is no gap or open ground between two tiles.

On a large piece of card sheet, draw several shapes like the one shown alongside. Colour half of them. Cut them all out and separate them.

One pattern made of these shapes is shown alongside. Make some other patterns of your own.

Cut out many pieces of each of the shapes shown alongside. Join them in a pattern like floor tiles.

Note the pattern and complete the design.

Make your own shapes and use them to make patterns for sari and shawl borders, etc.

Perimeter and Area Problem Set 49 Additional Important Questions and Answers

Solve the following :

Question 1 Maharashtra Board Solution
If 4 is the first square number which is the eighth one?
Solution & Step-by-Step Answer:
81 is the eighth square number.
Question 2 Maharashtra Board Solution
If 3 is the first triangular number which is the eighth one?
Solution & Step-by-Step Answer:
45 is the eighth triangular number.
Question 3 Maharashtra Board Solution
Classify the following into square numbers and triangular numbers. 3, 4, 9,10,15,16; 45, 49, 64, 66, 81, 91
Solution & Step-by-Step Answer:
Square Numbers : 4, 9,16, 49, 64, 81 Triangular Numbers : 3, 10, 15, 45, 66, 91
Question 4 Maharashtra Board Solution
Find out the numbers which are neither square nor triangular numbers from the following. 4, 5, 6, 8, 9, 10, 14, 15, 16, 25, 26, 27, 28.
Solution & Step-by-Step Answer:
5, 8 14, 26 and 27
Question 5 Maharashtra Board Solution
(1) If 4 is the first square number, which is the fifth one? (2) If 3 is the first triangular number, which is the sixth one? (3) Write all the square numbers between 20 and 80. (4) Write all the triangular numbers between 20 and 80. (5) Write the greatest two-digit square numbers as well as triangular numbers. (6) Write the next three square numbers, 36, 49, 64,……., (7) Write the next three triangular numbers 36, 45, 55,
Solution & Step-by-Step Answer:
(1) 36 (2) 28 (3) 25, 36, 49, 64 (4) 21, 28, 36, 45, 55, 66, 78 (5) 81, 91 (6) 81, 100, 121 (7) 66, 78, 91
Question 6 Maharashtra Board Solution
Match the columns

A

B

(1) Third square number

(a) 15

(2) Fourth triangular number

(b) 36

(3) Number neither square nor triangular

(c) 16

(4) Number is both square as well as triangular number

(d) 35

Solution & Step-by-Step Answer:
(1 – c),
(2 – a),
(3 – d),
(4 – b).