Counting in Groups
Counting in groups means putting objects into equal groups and then counting how many groups there are. Instead of counting one by one, we can count faster by making groups of 2, 5, or 10.
This is also called skip counting. It helps when we have many objects to count, like beads, pencils, or coins.
What is Counting in Groups - Class 2 Maths (Numbers up to 200)?
Counting in groups is a method where we arrange objects into groups of equal size and count the groups.
How it works:
- Take a collection of objects.
- Make groups of the same size (e.g., groups of 2, 5, or 10).
- Count how many groups you made.
- Check if any objects are left over.
Total = (Number of groups × Group size) + Leftover
Solved Examples
Example 1: Example 1: Count 12 mangoes in groups of 2
Question: Ria has 12 mangoes. She makes groups of 2. How many groups?
Think:
- Put 2 mangoes in each group
- 2, 4, 6, 8, 10, 12 → 6 groups
- No mangoes left over
Answer: Ria makes 6 groups of 2 mangoes each.
Example 2: Example 2: Count 35 pencils in groups of 5
Question: Aman has 35 pencils. He puts them in groups of 5. How many groups?
Think:
- 5, 10, 15, 20, 25, 30, 35 → 7 groups
- No pencils left over
Answer: Aman makes 7 groups of 5 pencils.
Example 3: Example 3: Count 43 beads in groups of 10
Question: Aditi has 43 beads. She makes groups of 10. How many groups and how many left over?
Think:
- 10, 20, 30, 40 → 4 groups of 10
- 43 − 40 = 3 beads left over
Answer: 4 groups of 10 beads and 3 beads left over.
Example 4: Example 4: Groups of 2 with leftover
Question: Kavi has 15 toffees. He makes groups of 2. How many groups and how many left?
Think:
- 2, 4, 6, 8, 10, 12, 14 → 7 groups
- 15 − 14 = 1 toffee left
Answer: 7 groups of 2 and 1 toffee left over.
Example 5: Example 5: Counting ₹5 coins
Question: Meera has some ₹5 coins. She counts: 5, 10, 15, 20, 25, 30. How many coins does she have?
Think:
- She skip counted by 5
- She said 6 numbers: 5, 10, 15, 20, 25, 30
- So she has 6 coins
Answer: Meera has 6 coins worth ₹30 in total.
Example 6: Example 6: Count 20 chapatis in groups of 5
Question: The school canteen made 20 chapatis. They put 5 chapatis on each plate. How many plates?
Think:
- 5, 10, 15, 20 → 4 groups
- No chapatis left
Answer: They need 4 plates.
Example 7: Example 7: Count sticks in bundles of 10
Question: Dev has 78 ice cream sticks. He ties them in bundles of 10. How many bundles and how many loose sticks?
Think:
- 10, 20, 30, 40, 50, 60, 70 → 7 bundles
- 78 − 70 = 8 loose sticks
Answer: 7 bundles of 10 and 8 loose sticks.
Key Points to Remember
- Counting in groups is faster than counting one by one.
- Common group sizes are 2, 5, and 10.
- After making groups, count how many groups + how many are left over.
- Total = (Groups × Group size) + Leftover.
- Counting in groups of 10 connects directly to place value (tens and ones).
- This skill prepares you for multiplication and division.
Practice Problems
- Count 18 bananas in groups of 2. How many groups?
- Priya has 30 beads. She puts them in groups of 5. How many groups?
- Arjun has 56 marbles. He makes groups of 10. How many groups and how many left?
- A box has 24 crayons. Put them in groups of 2. How many groups?
- Count by 5: 5, 10, 15, ___, ___, ___.
- Neha has 17 flowers. She makes groups of 5. How many groups and how many left?
Frequently Asked Questions
Q1. What does counting in groups mean?
It means arranging objects into groups of equal size (like 2, 5, or 10) and then counting the number of groups. This is faster than counting each object one by one.
Q2. Why do we count in groups of 10?
Our number system is based on 10. When you make groups of 10, you directly see the tens and ones in a number. For example, 47 = 4 groups of 10 + 7 left over.
Q3. What if objects don’t divide evenly into groups?
The objects that do not fit into a complete group are called "left over" or "remainder." For example, 13 objects in groups of 5 gives 2 groups and 3 left over.
Q4. How is counting in groups related to multiplication?
Counting in groups is the same idea as multiplication. 4 groups of 5 = 4 × 5 = 20. Children learn grouping first, which prepares them for the multiplication concept.
Q5. Can I count in groups of any number?
Yes. You can count in groups of 2, 3, 4, 5, 10, or any number. In Class 2, groups of 2, 5, and 10 are most common.
Q6. How does skip counting help with groups?
Skip counting is saying every 2nd, 5th, or 10th number. When you skip count by 5 and say "5, 10, 15, 20," you are counting 4 groups of 5. The last number you say is the total.
