Maharashtra Board Solutions Class 5-Maths (Problem Set 53) - Part 2: Chapter 15- Patterns
Maharashtra Board Solutions Class 5-Maths (Problem Set 53) - Part 2: Chapter 15- Patterns

Class 5: Maths Chapter 15 solutions. Complete Class 5 Maths Chapter 15 Notes.

Maharashtra Board Solutions Class 5-Maths (Problem Set 53) – Part 2: Chapter 15- Patterns

Maharashtra Board 5th Maths Chapter 15, Class 5 Maths Chapter 15 solutions

Important Questions and Answers.

Question 1.
Find the square numbers from the list given below.
5, 9, 12, 16, 50, 60, 64, 72, 80, 81
Answer:

9,16, 64, 81, 4, 25, 49 are square numbers.

Question 2.
Which are the triangular numbers in the given list?
3, 6, 8, 9, 12, 15, 16, 20, 21, 42
Answer:

3, 6, 15, 21, 28, 10, 45, 55 are triangular numbers.

Question 3.
Name a number which is square as well as triangular.
Answer:

36 is square as well as triangular number.

Question 4.
If 4 is the first square number, which is the tenth one?
Answer:

121 is the tenth square number.

Question 5.
If 3 is the first triangular number, which is the tenth one?
Answer:

66 is the tenth triangular number.

Think about it.

  • How will you decide if a given number is a square number?
  • How will you decide if a given number is a triangular number?
  • How many square numbers do you think there are?
  • How many triangular numbers do you think there are?

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.
Maharashtra Board Class 5 Maths Solutions Chapter 15 Patterns Problem Set 53 1

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.
Maharashtra Board Class 5 Maths Solutions Chapter 15 Patterns Problem Set 53 2

One pattern made of these shapes is shown alongside. Make some other patterns of your own.
Maharashtra Board Class 5 Maths Solutions Chapter 15 Patterns Problem Set 53 3

Cut out many pieces of each of the shapes shown alongside. Join them in a pattern like floor tiles.
Maharashtra Board Class 5 Maths Solutions Chapter 15 Patterns Problem Set 53 4

Note the pattern and complete the design.
Maharashtra Board Class 5 Maths Solutions Chapter 15 Patterns Problem Set 53 5

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

Additional Important Questions and Answers

Solve the following :

Question 1.
If 4 is the first square number which is the eighth one?
Answer:

81 is the eighth square number.

Question 2.
If 3 is the first triangular number which is the eighth one?
Answer:

45 is the eighth triangular number.

Question 3.
Classify the following into square numbers and triangular numbers.
3, 4, 9,10,15,16; 45, 49, 64, 66, 81, 91
Answer:

Square Numbers : 4, 9,16, 49, 64, 81
Triangular Numbers : 3, 10, 15, 45, 66, 91

Question 4.
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.
Answer:

5, 8 14, 26 and 27

Question 5.
(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,
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.
Match the columns

AB
(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

Answer:
(1 – c),
(2 – a),
(3 – d),
(4 – b).

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Maharashtra Board Solutions Class 5-Maths (Problem Set 53) – Part 2: Chapter 15- Patterns

Download PDF: Maharashtra Board Solutions Class 5-Maths (Problem Set 53) – Part 2: Chapter 15- Patterns PDF

Chapterwise Maharashtra Board Solutions Class 5 Maths :

Part 1

Part 2.

FAQs

Where do I get the Maharashtra State Board Books PDF For free download?

You can download the Maharashtra State Board Books from the eBalbharti official website, i.e. cart.ebalbharati.in or from this article.

How to Download Maharashtra State Board Books?

Students can get the Maharashtra Books for primary, secondary, and senior secondary classes from here.  You can view or download the Maharashtra State Board Books from this page or from the official website for free of cost. Students can follow the detailed steps below to visit the official website and download the e-books for all subjects or a specific subject in different mediums.
Step 1: Visit the official website ebalbharati.in
Step 2: On the top of the screen, select “Download PDF textbooks” 
Step 3: From the “Classes” section, select your class.
Step 4: From “Medium”, select the medium suitable to you.
Step 5: All Maharashtra board books for your class will now be displayed on the right side. 
Step 6: Click on the “Download” option to download the PDF book.

Who developed the Maharashtra State board books?

As of now, the MSCERT and Balbharti are responsible for the syllabus and textbooks of Classes 1 to 8, while Classes 9 and 10 are under the Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE).

How many state boards are there in Maharashtra?

The Maharashtra State Board of Secondary & Higher Secondary Education, conducts the HSC and SSC Examinations in the state of Maharashtra through its nine Divisional Boards located at Pune, Mumbai, Aurangabad, Nasik, Kolhapur, Amravati, Latur, Nagpur and Ratnagiri.

About Maharashtra State Board (MSBSHSE)

The Maharashtra State Board of Secondary and Higher Secondary Education or MSBSHSE (Marathi: महाराष्ट्र राज्य माध्यमिक आणि उच्च माध्यमिक शिक्षण मंडळ), is an autonomous and statutory body established in 1965. The board was amended in the year 1977 under the provisions of the Maharashtra Act No. 41 of 1965.

The Maharashtra State Board of Secondary & Higher Secondary Education (MSBSHSE), Pune is an independent body of the Maharashtra Government. There are more than 1.4 million students that appear in the examination every year. The Maha State Board conducts the board examination twice a year. This board conducts the examination for SSC and HSC. 

The Maharashtra government established the Maharashtra State Bureau of Textbook Production and Curriculum Research, also commonly referred to as Ebalbharati, in 1967 to take up the responsibility of providing quality textbooks to students from all classes studying under the Maharashtra State Board. MSBHSE prepares and updates the curriculum to provide holistic development for students. It is designed to tackle the difficulty in understanding the concepts with simple language with simple illustrations. Every year around 10 lakh students are enrolled in schools that are affiliated with the Maharashtra State Board.