House of Hundreds - I
CBSE · Class 3 · Mathematics
NCERT Solutions for House of Hundreds - I — CBSE Class 3 Mathematics.
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Intext Questions — House of Hundreds - I
Q1How many triangles are there in a line of triangular toran? Try counting all the triangles. Total triangles: 50 more than 200, which is 250.Show solution
Counting strategy: Count in groups of 10.
Total triangles = 250
This is because 250 = 200 + 50, i.e., 50 more than 200.
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Q2Guess how many bangles there are. Try counting the total number of bangles. Total bangles: 200 and 80 more is 280.Show solution
Counting strategy (as shown by Teji):
Total bangles = 280
This is because 280 = 200 + 80, i.e., 80 more than 200.
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Q3Guess how many toffees there are in the boxes. Count and check.Show solution
Counting strategy:
Total toffees = 298
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Q4Jojo has 2 toffees in his hand. How many toffees are there altogether?Show solution
Total toffees altogether = 300
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Q5How many more triangles to make 300?Show solution
50 more triangles are needed to make 300.
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Q6How many bangles less than 300?Show solution
Bangles are 20 less than 300.
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Q7Which is more: bangles or triangles?Show solution
Comparing: (since both have 2 hundreds, but 8 tens 5 tens).
Bangles (280) are more than triangles (250).
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Let us Do (Page 65–66)
1Jojo is jumping on a tiled path inside the mela. Fill in the empty tiles with numbers.Show solution
Concept: Counting numbers in order.
The tiles follow the pattern of consecutive whole numbers. Starting from the visible numbers, fill each empty tile by adding 1 to the previous number.
For example, if the path shows: 201, ___, 203, ___, 205, …
Fill each blank tile with the next consecutive number in the sequence.
*(Note: Exact starting number depends on the figure. Apply the rule: each tile = previous tile + 1.)*
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2Fill in the blanks with the correct numbers. (Three number sequences shown in figures.)Show solution
Pattern 1 (counting by 1s): Each number increases by 1.
Example:
Pattern 2 (counting by 10s): Each number increases by 10.
Example:
Pattern 3 (counting by 100s): Each number increases by 100.
Example:
Fill in each blank by identifying the pattern (difference between consecutive given numbers) and continuing it.
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3Ants have found food on the ground. Guess how many ants there are. Count and check.Show solution
Step 1 – Guess: Look at the picture and make an estimate (answers will vary).
Step 2 – Count: Circle the ants in groups of 10 to count accurately.
Count all complete groups of 10, then add the remaining ants.
Step 3 – Check: Counting in groups of 10 gives a more accurate answer than counting one by one.
*(The exact number depends on the figure. Apply the grouping strategy to find the total.)*
Key learning: Grouping in 10s makes counting large numbers easier and more accurate.
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Let us Do — Matchstick Numbers (Page 67)
4Fill in the blanks appropriately in the table (Matchsticks | Number | Number Sentence).Show solution
Row 1 (given as example):
- Number: 235
- Number Sentence: (200 and 35 more); also (15 less than 250)
Row 2:
- Number Sentence given: 300 and 16 more
- Number:
- Matchsticks: 3 bundles of 100, 1 bundle of 10, 6 single sticks
- Another number sentence:
Row 3:
- Number given: 109
- Number Sentence: (100 and 9 more); also (1 less than 110)
- Matchsticks: 1 bundle of 100, 0 bundles of 10, 9 single sticks
Summary table:
| Number | Number Sentence |
|--------|----------------|
| 235 | or |
| 316 | |
| 109 | or |
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5Place the numbers given above (235, 316, 109) on the number line. 235 lies between 200 and 250.Show solution
- 109 lies between 100 and 200, closer to 100. Place it just after 100.
- 235 lies between 200 and 250 (given). Place it halfway between 200 and 250, slightly closer to 250.
- 316 lies between 300 and 350. Place it just after 300.
Mark each number at its correct position on the number line.
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Let us Do — Pictures and Number Slider (Page 68)
6Look at the pictures and write the corresponding numbers.Show solution
Method: Count the number of hundreds blocks, tens blocks, and ones blocks in each picture.
*(The exact answers depend on the figures. Apply the above formula to each picture to write the corresponding number.)*
Example: If a picture shows 2 hundreds blocks, 3 tens blocks, and 5 ones blocks:
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7Make the number slider. Increase or decrease the number as given below:
(a) 285 — increase the number by one
(b) 147 — increase the number by ten
(c) 367 — decrease the number by 2
(d) 289 — decrease the number by 10
(e) 290 — increase the number by 20Show solution
(a)
(b)
(c)
(d)
(e)
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Let us Do — Number Lines (Page 71)
1Locate 216, 243, 257 on the number line (between 200 and 300).Show solution
The number line goes from 200 to 300.
- 216 is 16 steps after 200. Place it close to 200, slightly to the right.
- 243 is 43 steps after 200. Place it between 200 and 250, closer to 250.
- 257 is 57 steps after 200. Place it just after 250.
Mark all three numbers at their correct positions.
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2Locate 329, 332, 337, 375 and 387 on the number line (between 300 and 400).Show solution
- 329 — 29 steps after 300, close to 300.
- 332 — 32 steps after 300, just after 329.
- 337 — 37 steps after 300, just after 332.
- 375 — 75 steps after 300, between 350 and 400, closer to 400.
- 387 — 87 steps after 300, close to 400.
Mark all five numbers at their correct positions.
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3Tell how far is 387 from 400.Show solution
387 is 13 steps (13 less) away from 400.
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4Which is more: 393 or 400? Use a number line and show. Fill the numbers on the number line and show by jumping how far 393 is from 400.Show solution
Comparing: Both are close, but .
Distance:
On the number line:
400 is more than 393. 393 is 7 steps away from 400.
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Let us Do — Sweet Shop (Page 72)
5aHow many pieces of mysore pak are in one tray?Show solution
Method: Count the pieces arranged in the tray in rows and columns.
*(The exact number depends on the figure. Count rows × columns.)*
Example: If the tray has 5 rows and 10 columns: pieces per tray.
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5bHow many pieces of mysore pak are there in total?Show solution
Method: Multiply pieces per tray by number of trays.
*(Apply the multiplication using the values found from the figure.)*
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5cHow many laddoos does chacha have in the trays?Show solution
Method: Count laddoos per tray, then multiply by number of trays.
*(Count from the figure and calculate.)*
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5dHow many dhoklas does chacha have?Show solution
Method: Count dhoklas per tray × number of trays.
*(Count from the figure and calculate.)*
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5eChacha is going to fill the tray with more laddoos. How many more laddoos will make the tray full?Show solution
Method:
*(Count the empty spaces in the tray from the figure to find the answer.)*
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5fHow many total laddoos will he have after the last tray is full?Show solution
*(Add the two values to get the final total.)*
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Let us Do — Apartment Building (Page 73–75)
(i) I have digits 9, 1 and 5. I am less than 200. I have 9 ones. Which number am I?
(ii) I am a 3-digit number. I have only digits 4 and 0. Which number am I?
(iii) I am greater than 300 but less than 400. I have no tens. My ones and hundreds digits are the same. Which number am I?
Let us Do — Sweet Boxes (Page 76–77)
House numbers: 211, 309, 275, 423, 365, 343, 458, 562, 606, 800.
Let us Do — Comparing Numbers (Page 79–81)
(a) 325 is more than 235 because
(b) 235 is less than 523 because
(c) 157 is more than 153 because
(d) 432 is more than 423 because
(e) 329 is less than 392 because
(f) 110 is more than 11 because
(a) 374, 473, 347, 437
(b) 239, 123, 321, 456
(a) 466, 437, 439, 447, 483
(b) 464, 387, 123, 256, 348
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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