NCERT Solutions for Class 4th Maths Chapter 3 Patterns with Money — Patterns with Money
Book page 35 Updated on2026-09-19
Q1.
How much money? ________ (the first arrangement)The first money pattern — eight coins placed in a ring around one coin.
Answer
The first money pattern — eight coins placed in a ring around one coin.
This pattern is worth ₹80.
Do not add coin by coin. Sort the coins by their value first.
Coin
How many
Value
₹10
4
10 + 10 + 10 + 10 = ₹40
₹5
4
5 + 5 + 5 + 5 = ₹20
₹20
1
₹20
40 + 20 = 60 60 + 20 = ₹80
Why it happens: Coins of the same value add up quickly, so grouping the same coins together saves work.
Tip: There are 9 coins here — 8 in the ring and 1 in the middle. Counting the coins and counting the money are two different jobs.
Q2.
How much money? ________ (the second arrangement)The second money pattern — six ₹10 notes make a border. The four corner coins are small silver coins.
Answer
The second money pattern — six ₹10 notes make a border. The four corner coins are small silver coins.
The notes and the ₹5 coins come to ₹100. Then add the four small corner coins.
Money
How many
Value
₹10 notes
6
10 + 10 + 10 + 10 + 10 + 10 = ₹60
₹5 coins
8
5 × 8 = ₹40
small silver coins
4
read them in your book
60 + 40 = ₹100 then add the four corner coins
The four corner coins are printed very small, so their number cannot be read clearly. Look at the four corner coins in your own book. If each one is a ₹1 coin, the pattern is worth 100 + 4 = ₹104. If each one is a ₹2 coin, it is worth 100 + 8 = ₹108.
Why it happens: The border, the corners and the middle are three neat groups. Adding one group at a time is easier than adding eighteen pieces of money one by one.
Tip: Notes are counted the same way as coins. A ₹10 note and a ₹10 coin are worth exactly the same.
Q3.
How did you count them? Discuss in class.The first money pattern — eight coins placed in a ring around one coin.The second money pattern — six ₹10 notes make a border. The four corner coins are small silver coins.
Answer
The first money pattern — eight coins placed in a ring around one coin.The second money pattern — six ₹10 notes make a border. The four corner coins are small silver coins.
Here are three good ways to tell the class how you counted. Any of them is correct.
Group the same coins. Put all the ₹10 coins together, all the ₹5 coins together, and so on. Find the value of each group, then add the groups.
Follow the shape. In the first picture, go round the ring and then take the middle coin. In the second picture, take the border of notes first, then the corners, then the block of coins in the middle.
Skip-count. For the ₹5 coins say 5, 10, 15, 20, 25, 30, 35, 40. For the ₹10 notes say 10, 20, 30, 40, 50, 60.
First pattern: 40 + 20 + 20 = ₹80 Second pattern: 60 + 40 = ₹100, and then the four corner coins
Why it happens: The money was laid out in a pattern on purpose. A pattern tells your eye where one group ends and the next begins, so you do not lose your place.
Try This: Ask your friend to count the same picture a different way. You should both reach the same amount — the way of counting may change, the money cannot.
Q4.
Arrange play money of amounts 1, 2, 5, and 10 to show `36, `125, and `183. Ask your peers to tell how much it is.
Answer
Take out your play notes and coins of ₹1, ₹2, ₹5 and ₹10. Work in this order.
Use as many ₹10 as you can without going over the amount.
Then use ₹5, then ₹2, then ₹1 to finish it off.
Lay the money out in a neat pattern — a row, a ring or a square.
Ask a friend to count it and say the amount out loud.
Sample answer:
Amount
₹10
₹5
₹2
₹1
Check
₹36
3
1
0
1
30 + 5 + 1 = 36
₹125
12
1
0
0
120 + 5 = 125
₹183
18
0
1
1
180 + 2 + 1 = 183
Other ways are also right. For ₹36 you could take 3 tens and 3 twos, because 30 + 6 = 36.
Why it happens: Starting with the biggest note keeps the pile small, so your friend has less to count.
Check it yourself: Count your own arrangement twice, in two different orders. If both counts give the same amount, you have made it correctly.