This guide supports the Raksha Bandhan Class 3 maths worksheet on this page. It covers Class 3 Maths Chapter 7 from the NCERT Maths Mela book, which is part of the latest NCERT syllabus for CBSE schools. Topics include multiplication as repeated addition, equal groups, division as equal sharing and repeated subtraction, skip jumping, times tables, patterns in tables, multiplying by tens, and word problems with bigger numbers. Use it with the printable Raksha Bandhan worksheets for Class 3, the Raksha Bandhan Class 3 quiz and the 15 Raksha Bandhan Class 3 activities above.

Introduction to NCERT Class 3 Maths Chapter 7 Raksha Bandhan

Book: Maths Mela, the NCERT Mathematics textbook for Class 3 (Grade 3). Chapter: 7, Raksha Bandhan. Board: CBSE and other schools that follow NCERT. This chapter starts the big ideas of multiplication and division. Children get ready for a festival, make rakhis, buy sweets and play on a number track. Along the way they see that multiplication is repeated addition, that division is equal sharing, and that the times tables can be built by skip jumping.

What is there in the chapter?

• Counting objects in a picture and finding how much material is needed to make 5 rakhis
• Repeated addition written as times and as a multiplication sentence such as 5 × 2
• Counting sweets arranged in a box and in groups, and buying more than one box
• Sharing sweets equally among people and writing a division sentence such as 18 ÷ 9
• Equal sharing using drawings and repeated subtraction, such as 20 shared among 5
• Counting objects in equal groups and different ways of grouping, such as 8 × 6 and 6 × 8
• Writing the table of 2 for animals, and a skip jumping game on a number track
• Making times tables with repeated addition, with number lines and with sticks
• Patterns in the times-5 table and relations between tables
• Multiplying by tens, such as 30 × 5, and finding how many wheels can be made from spokes
• Word problems on legs, wheels, horns, money and shells, and repeated subtraction for larger numbers
• A puzzle with number cards in envelopes

NCERT Class 3 learning objectives for this chapter

These objectives are written from the content of the chapter. They are not copied from the book.

• To understand multiplication as repeated addition of equal groups
• To write equal groups as a multiplication sentence and read it as times
• To understand division as equal sharing and as repeated subtraction
• To write division sentences and link them with multiplication
• To build and use the times tables through skip jumping and patterns
• To notice patterns in the tables, such as the last digit of the times-5 table
• To multiply by tens and by bigger numbers using what is already known
• To solve word problems with multiplication and division

Learning outcomes

After this chapter and the practice on this page a Class 3 child should be able to:

• write 3 + 3 + 3 + 3 as 4 × 3 and find the total
• explain that 8 × 6 and 6 × 8 give the same answer
• share a number of objects equally and write a division such as 20 ÷ 5 = 4
• skip jump on a number line and say which numbers are landed on
• say and use the times tables up to 10
• find a pattern in a times table, such as the times-5 table ending in 0 or 5
• find 30 × 5 by using 10 × 5
• solve a word problem by choosing multiplication or division

Raksha Bandhan Class 3 resources on this page

• Raksha Bandhan Class 3 worksheet: a printable NCERT style worksheet on multiplication, division and times tables.
• Raksha Bandhan Class 3 quiz: a free 20-question online quiz with easy, average and thinking questions, picture questions and instant marks with a reason for every answer.
• Raksha Bandhan Class 3 activities: 15 free online activities, made of 5 games, 5 workshops and 5 challenges, with marks and a comment after the challenges.
• Practice sheet: 16 questions you can type and check, with a Show answers button.

What is Class 3 Maths Chapter 7 Raksha Bandhan?

Chapter 7 of the NCERT Class 3 Maths book Maths Mela is called Raksha Bandhan. It introduces multiplication and division in a festival setting. Children already know addition and subtraction. Here they learn that adding the same number again and again is multiplication, and that taking the same number away again and again, or sharing equally, is division.

Multiplication as repeated addition

When each rakhi needs 2 threads and 5 rakhis are made, the threads needed are 2 + 2 + 2 + 2 + 2 = 10. This is read as 5 times 2 and written as 5 × 2 = 10. The first number tells how many groups and the second tells how many are in each group. Four beads for each of 5 rakhis is 5 × 4 = 20. One flower for each of 5 rakhis is 5 × 1 = 5.

Different ways of grouping

The same objects can be grouped in different ways. A flower bed with 8 rows of 6 plants has 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 48 plants, which is 8 × 6. Counted as 6 rows of 8 plants it is 8 + 8 + 8 + 8 + 8 + 8 = 48, which is 6 × 8. The answer is the same. So the order of the two numbers does not change the product. Arranging objects in rows and columns makes this easy to see.

Division as equal sharing

If 18 laddoos are shared equally among 9 people, each person gets 2 laddoos. This is written as 18 ÷ 9 = 2. To find it, give one laddoo to each person, then another, and keep going until no laddoos are left. This is the same as taking 9 away again and again from 18. Division is the opposite of multiplication. Since 9 × 2 = 18, we know that 18 ÷ 9 = 2 and 18 ÷ 2 = 9.

Skip jumping and the times tables

On a number track starting at 0, a child can jump by the same number again and again. Skip jumping by 3 lands on 3, 6, 9, 12, and so on. After 4 jumps the child is at 4 × 3 = 12. The numbers landed on make the times-3 table. Skip jumping by 6 gives the times-6 table and by 4 gives the times-4 table. In a game, a flower is placed on a number such as 12 and players choose a jump size to reach it in the fewest jumps. Jumps of 6 reach 12 in just 2 jumps.

Writing tables with sticks and seeing patterns

Tables can also be made by drawing sticks and counting the points where they cross. The times-5 table is 5, 10, 15, 20, 25 and so on. Its answers end in 0 or 5. So 18 × 5 ends in 0 and 23 × 5 ends in 5. The tables also have relations. The times-2 table plus the times-3 table gives the times-5 table. For example 4 × 2 = 8 and 4 × 3 = 12, and 8 + 12 = 20 = 4 × 5.

Multiplying by tens

To find the number of spokes in 20 wheels with 5 spokes each, first find 10 wheels. 10 × 5 = 50. Another 10 wheels need 50 more. So 20 × 5 = 50 + 50 = 100. In the same way 30 × 5 = 150 and 40 × 5 = 200. Each extra 10 adds 50. This pattern helps with 50 × 5, 60 × 5 and up to 100 × 5 = 500.

Word problems and bigger numbers

Word problems use multiplication when equal groups are joined and division when a number is shared or grouped equally. A spider has 8 legs, so 5 spiders have 5 × 8 = 40 legs. A 3-wheeled auto rickshaw means 18 of them have 18 × 3 = 54 wheels. Two wall hangings of 42 rupees each cost 2 × 42 = 84 rupees. Five cups of rabdi at 75 rupees cost 5 × 75 = 375 rupees, so 4 notes of 100 rupees are given and 25 rupees come back. For division with big numbers, repeated subtraction works. From 112 shells, taking away 28 again and again gives 84, 56, 28 and 0, so 4 necklaces can be made.

Types of questions to practise

Questions on this chapter ask children to write repeated addition as multiplication, count equal groups, share equally, write division sentences, skip jump on a number line, complete times tables, find patterns, multiply by tens, solve word problems with legs, wheels and money, and use repeated subtraction. The online quiz on this page mixes choice questions, true or false questions, picture questions and typed answers, and the practice sheet has 16 typed answers.

Solved examples

Common mistakes

Multiplication and division in daily life

We use multiplication and division when we buy the same thing many times, share sweets among friends, count wheels, legs or eggs in a tray, and pay money. Ask your child how many wheels there are on 6 cycles, how many legs on 5 chairs with 4 legs each, or how to share 20 sweets among 4 friends.

What your child learns from the Raksha Bandhan worksheet

• Repeated addition and multiplication
• Equal groups and different ways of grouping
• Division as equal sharing
• Skip jumping and the times tables
• Patterns in times tables
• Multiplying by tens
• Word problems with legs, wheels and money
• Repeated subtraction for bigger numbers

Tips for parents and teachers

Use real objects such as beads, buttons or sweets. Make equal groups and write the multiplication together. Share the objects equally on plates and write the division. Draw a number track on the floor with chalk and let your child skip jump by 2, 3, 4 and 5. Say a table as a song or clap it. Ask your child to explain how they found each answer.