NCERT Class 3 Maths (Maths Mela) · Chapter 9
House of Hundreds – II
Numbers up to 1,000: place value, number lines, neighbouring tens and hundreds, patterns, and number puzzles.
📌 What you’ll learn in this chapter
- Showing 3-digit numbers with hundreds, tens, and ones
- Numbers on a number line up to 1,000
- Neighbouring hundreds, fifties, and tens
- Skip counting by 10, 25, 30, 100
- Fun number patterns and word numerals (Bhutasankhya)
🐦 Let’s Begin: Birbal Counts Crows
King Akbar asked Birbal to count the crows in the city. Birbal said, “963!” “What if there are fewer?” asked Akbar. “Some have gone on holiday!” said Birbal. Clever Birbal! 😄
963 = 9 hundreds + 6 tens + 3 ones.
🔢 Part 1: Place Value
| Number | H | T | O | Number sentence |
|---|---|---|---|---|
| 832 | 8 | 3 | 2 | 800 + 30 + 2 |
| 504 | 5 | 0 | 4 | 500 + 4 |
| 700 | 7 | 0 | 0 | 700 |
368 can be written in many ways: 300 + 60 + 8 · 68 more than 300 · 32 less than 400.
📏 Part 2: Neighbours on the Number Line
| Number | Between hundreds | Between fifties | Between tens |
|---|---|---|---|
| 468 | 400 and 500 | 450 and 500 | 460 and 470 |
| 723 | 700 and 800 | 700 and 750 | 720 and 730 |
After 999 comes 1,000 (one thousand).
🔍 Part 3: Number Patterns
- Counting digits: 123, 345, 789 (and backwards: 876, 321)
- Triplet digits: 111, 222, 333…
- Palindromes (read the same both ways): 353, 868, 121
⚠️ Common mistake
Writing seven hundred six as 76 or 7006. ✅ It is 706: 7 hundreds, 0 tens, 6 ones.
✏️ Practice Time
Try these on your own first, then check your answer below each question.
Q1. Write 6 hundreds, 0 tens, 9 ones.
✅ Answer609
Q2. Between which hundreds does 578 lie?
✅ Answer500 and 600
Q3. Continue: 725, 750, 775, __, __
✅ Answer800, 825
Q4. Write a 3-digit palindrome.
✅ AnswerFor example, 454, 707, 919
📘 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 118 · Tiles and number linesShow and locate
✅ AnswerDraw hundred-tiles, ten-strips, and single tiles: 832 = 8 H, 3 T, 2 O · 947 = 9, 4, 7 · 726 = 7, 2, 6 · 504 = 5, 0, 4 · 620 = 6, 2, 0 · 700 = 7, 0, 0. On the number lines, find the two marked numbers each number lies between.
Page 119 · Neighbours and cranesHundreds, fifties, tens
✅ Answer183: 100 & 200 · 150 & 200 · 180 & 190
345: 300 & 400 · 300 & 350 · 340 & 350
693: 600 & 700 · 650 & 700 · 690 & 700
734: 700 & 800 · 700 & 750 · 730 & 740
899: 800 & 900 · 850 & 900 · 890 & 900
Crane 1 (at 667): 667 + 33 = 700 · 667 − 17 = 650. Crane 2: find where it stands, then count the steps to 800 and back to 750. You can do it in 2 or 3 jumps.
Page 120 · Tambola and ways to make numbers345: 300 & 400 · 300 & 350 · 340 & 350
693: 600 & 700 · 650 & 700 · 690 & 700
734: 700 & 800 · 700 & 750 · 730 & 740
899: 800 & 900 · 850 & 900 · 890 & 900
Crane 1 (at 667): 667 + 33 = 700 · 667 − 17 = 650. Crane 2: find where it stands, then count the steps to 800 and back to 750. You can do it in 2 or 3 jumps.
Clues and number sentences
✅ AnswerClue matches in the example grid: 597 · numbers with a 4: 574, 614 · between 595 and 605: 597, 599, 600, 602 · tens digit 1: 614, 616 · 612 and 620 are not in this grid.
905 = 900 + 5 = 5 more than 900 · 555 = 500 + 50 + 5 · 736 = 700 + 30 + 6 = 64 less than 800
Pages 121–122 · Skip and solve905 = 900 + 5 = 5 more than 900 · 555 = 500 + 50 + 5 · 736 = 700 + 30 + 6 = 64 less than 800
Number patterns
✅ AnswerFollow each rule shown on the arrows: +10 (850, 860…), +100 (450, 550, 650…), +25, +30, +15, and count by 1 on the path to 1,000.
775 = 750 + 25 = 700 + 75 · 400 = 290 + 110 = 300 + 100 · Fill the circles so the stated conditions (less/more) are true, using 23, 176, 384, and 905.
Page 123 · Matching775 = 750 + 25 = 700 + 75 · 400 = 290 + 110 = 300 + 100 · Fill the circles so the stated conditions (less/more) are true, using 23, 176, 384, and 905.
Quantities and clues
✅ AnswerSample answers: flowers in a garland → 51–100 · people in a bus → 11–50 · pages in a maths book → 101–200 · children in a school → 201–500 or 501–1,000 · steps in a day → more than 1,000 · stars in the sky → more than 1,000.
Clues: 2 zeros and close to 99 → 100 · 3 H, 6 T, 7 O → 367 · zero tens and ones → 400 · century + half century → 150 · between 400 and 450 with a 5 → 425
Pages 124–127 · Number detective and slipsClues: 2 zeros and close to 99 → 100 · 3 H, 6 T, 7 O → 367 · zero tens and ones → 400 · century + half century → 150 · between 400 and 450 with a 5 → 425
Patterns and word numerals
✅ AnswerMore counting patterns: 234, 456, 567, 654. More triplets: 444, 555… More palindromes: 121, 474, 909. With zeros: 100, 305, 990.
Slips: 231 = 2 slips of 100, 3 of 10, 1 of 1 · 123 = 1 of 100, 2 of 10, 3 of 1. Largest: 600. Smallest: 6 (six 1s). Numbers whose digits add up to more than 6 (like 99 or 7) can’t be made.
Digits 3 and 8: 33, 38, 83, 88 · 333, 338, 383, 388, 833, 838, 883, 888. Smallest 33, largest 888.
Word numerals: Moon = 1, Twins = 2 → 12. Qutub Minar = 1, Char Minar = 4 → 14. Directions = 4, Sense organs = 5 → 45. Eyes = 2, Hexagon = 6 → 26. (Read the cards in the order shown.)
Slips: 231 = 2 slips of 100, 3 of 10, 1 of 1 · 123 = 1 of 100, 2 of 10, 3 of 1. Largest: 600. Smallest: 6 (six 1s). Numbers whose digits add up to more than 6 (like 99 or 7) can’t be made.
Digits 3 and 8: 33, 38, 83, 88 · 333, 338, 383, 388, 833, 838, 883, 888. Smallest 33, largest 888.
Word numerals: Moon = 1, Twins = 2 → 12. Qutub Minar = 1, Char Minar = 4 → 14. Directions = 4, Sense organs = 5 → 45. Eyes = 2, Hexagon = 6 → 26. (Read the cards in the order shown.)
👨👩👧 Tips for Parents
- Make numbers with ₹100, ₹10, and ₹1 play money.
- Ask: “Is 648 closer to 600 or 700?”
- Invent word numerals together (e.g. hands = 2, legs of a cow = 4).