NCERT Class 3 Maths (Maths Mela) · Chapter 3

Double Century

Numbers up to 200: the story of our numbers, making 100, bundles of tens, and number lines.

📌 What you’ll learn in this chapter
  • How our number system uses just ten digits (0–9)
  • What 100 is: 10 bundles of 10
  • Different ways to make 100 (70 + 30, 65 + 35…)
  • Reading, writing, and counting numbers from 100 to 200
  • Placing numbers on a number line

🏏 Let’s Begin: A Century!

In a cricket match, Rohit scores 99 runs. The crowd is shouting! He hits one more run… 100! Everyone cheers: “A century!” 🎉

If a batter scores 200 runs, that’s a double century!

🔢 Part 1: Our Wonderful Numbers

Long ago, people counted with marks on walls. Then ancient Indians invented a way to write any number using only ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The zero made this idea work!

💯 Part 2: What Is 100?

  • One more than 99 is 100.
  • 10 bundles of 10 sticks = 100 sticks.
  • 10 packets of 10 bindis = 100 bindis.

Ways to make 100

Number+Makes 100
7030100
6535100
4555100
919100
💡 Trick To find the partner of 63: jump from 63 to 70 (7), then from 70 to 100 (30). So 7 + 30 = 37.

🪵 Part 3: Numbers After 100

100 and 1 = 101 (one hundred one) · 100 and 25 = 125 (one hundred twenty-five) · 100 and 50 = 150

Hundreds (bundle of 100)Tens (bundles of 10)Ones (loose sticks)Number
143143
108108
170170
⚠️ Common mistake Writing “one hundred eight” as 1008 or 18. ❌ It’s 108: 1 hundred, 0 tens, 8 ones.

📏 Part 4: The Number Line

On a number line, numbers get bigger as you go right. 1 more than 159 is 160. 1 less than 160 is 159.

Jumps of 5: 100, 105, 110, 115, 120… · Jumps of 20: 100, 120, 140, 160, 180, 200

200 = 2 hundreds = 20 bundles of 10.

✏️ Practice Time

Try these on your own first, then check your answer below each question.

Q1. 40 and ___ makes 100.
✅ Answer60
Q2. What is 1 more than 149? 1 less than 180?
✅ Answer150 and 179
Q3. 1 bundle of 100, 6 bundles of 10, and 4 sticks = ?
✅ Answer164
Q4. Write in numbers: one hundred ninety.
✅ Answer190

📘 NCERT Textbook Activity Help

Hints and answers for the activities in the textbook, page by page. Try each one yourself before looking at the answer!

Page 16 · Mela picture

Estimate the objects

✅ AnswerEstimates will vary. Count roughly, for example the oranges on one side of the basket, and then double. Close answers are good!
Page 17 · Snakes and ladders

Missing numbers and questions

✅ AnswerThe numbers go in a zig-zag: 1–10 left to right, 11–20 right to left, 21–30 left to right, and so on. Each blank square is one more than the square before it on the path. The pictures of bundles and sticks show the missing numbers too.
Q1–Q2: Follow the ladder up from 13, and the snake down from 25, to their other ends.
Q3: The top row goes 100 (END), 99, 98, 97… The snake’s mouth is at 99, so from 96 you need a 3.
Q4: Find the tail of the longest snake and show that number as bundles of 10 and loose sticks.
Pages 18–20 · Talking pot and making 100

One more, and pairs to 100

✅ AnswerTalking Pot: 39 → 40 · 63 → 64 · 89 → 90 · your own number → one more
Making 100: 60 and 40 makes 100 · 45 and 55 · 75 and 25 · 15 and 85 · other pairs like 50 + 50, 20 + 80
Flower petals: each petal pair must add up to 100. The partners are 25 → 75, 9 → 91, 81 → 19, 55 → 45, 60 → 40, 30 → 70, 37 → 63 (and so on for the rest).
Matchsticks and seeds: estimate, then count. For example, if a box has about 50 sticks, then 2 boxes are close to 100.
Pages 21–23 · Numbers beyond 100

Bundles and number line

✅ AnswerOne hundred three, four, six, eight, nine. The number line counts on 100, 101, 102 … 124.
Bundles table: 1 hundred + tens + ones gives each number (e.g. 1, 0, 4 → 104 and 1, 2, 0 → 120). All the numbers start with 1 (one hundred).
Talking Pot: 127 → 128 · 105 → 106 · 109 → 110 · 150 → 151 · 134 → 135 · 100 → 101
Mark 125, 112, 149, and 137 by counting from the nearest ten.
Pages 24–25 · Clap, snap, pat and counting to 200

Numbers 150 to 200

✅ AnswerClap, snap, snap, pat, pat, pat = 123. Table: 153 = 1, 5, 3 · 154 = 1, 5, 4 · 156 = 100 and 56 · 157 · 158 = 100 and 58 · 159. 200 = 2 hundreds = 20 tens.
Stones in order: 150, 158, 163, 167, 177, 182, 189, 199
Pages 26–28 · Let Us Do

Jumps, 1 more and 1 less

✅ AnswerJumps of 5: 100, 105, 110, 115 … 150. Jumps of 20: 100, 120, 140, 160, 180, 200.
1 less / 1 more: 159, 161 · 128, 130 · 186, 188 · 133, 135 · 157, 159
Making 125: 1 hundred + 2 tens + 5 ones, or 12 tens + 5 ones. 170 on the number line: 100 + 70, or 150 + 20.
Table: 172 = 1, 7, 2 = 100 and 72 · 30 more than 150 = 180 · 114 = 1, 1, 4 · 132 = 100 and 32 · 108 = 1, 0, 8 · 160 = 100 and 60

👨‍👩‍👧 Tips for Parents

  • Make bundles of 10 with ice-cream sticks or straws, and show numbers up to 200.
  • Play “Talking Pot”: you say a number, and your child says one more (or one less).
  • Ask: “What goes with 45 to make 100?”
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