NCERT Class 3 Maths (Maths Mela) · Chapter 4

Vacation with My Nani Maa

Adding and subtracting with a ginladi (bead string), number lines, number grids, and box diagrams, plus magic sums.

📌 What you’ll learn in this chapter
  • Number bonds: numbers that make 10, 20, and 100
  • Adding and subtracting using jumps (1s and 10s)
  • Using a number grid to add big numbers quickly
  • Box diagrams to understand word problems
  • Estimating: is the answer more or less than 100?

🪄 Let’s Begin: Nani’s Magic Trick

Nani puts 10 beads on the table. Pinky hides some under her hand. 6 beads are still showing. Nani smiles: “You’re hiding 4!”

How? Nani knows that 6 and 4 make 10. That’s the magic of number pairs!

➕ Part 1: Adding with Jumps

To add, jump forward on a number line or bead string. Use big jumps of 10 to be fast!

27 + 15: 27 → jump 10 → 37 → jump 3 → 40 → jump 2 → 42

36 + 40: four jumps of 10 → 46, 56, 66, 76

💡 Reach the next ten 48 + 7: first make 50 (48 + 2), then add the rest (50 + 5) = 55.

➖ Part 2: Subtracting with Jumps

To subtract, jump backward. Or count up from the smaller number to the bigger one!

53 − 28: count up from 28 → 30 (+2) → 50 (+20) → 53 (+3). 2 + 20 + 3 = 25

🔢 Part 3: The Number Grid

On a 1–100 grid, going down one row adds 10 and going right one square adds 1.

34 + 23 → from 34, go down 2 rows (54), then right 3 (57) → 57.

📦 Part 4: Box Diagrams

Draw a long box for the total, and split it into the parts.

Total: 100 fruits
Mangoes: 65Guavas: ?

The missing part is 100 − 65 = 35 guavas.

⚠️ Common mistake Adding when you should subtract. Ask yourself: do I know the total (then subtract), or both parts (then add)?

🎯 Part 5: Estimating

Is 150 − 49 more or less than 100? 150 − 50 = 100, and we took away 1 less, so the answer is more than 100 (101).

✏️ Practice Time

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

Q1. 7 + ___ = 10, and 13 + ___ = 20
✅ Answer3 and 7
Q2. 45 + 28 = ?
✅ Answer45 + 20 = 65, then 65 + 8 = 73
Q3. 61 − 34 = ?
✅ Answer27
Q4. A basket has 50 eggs. 18 break. How many are left?
✅ Answer32

📘 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 29 · Magic trick

Hidden seeds

✅ AnswerThe trick: hidden = total − seeds on the table. (15, 12) → 3 · (20, 9) → 11 · (17, 10) → 7 · (23, 7) → 16 · (19, 8) → 11 · (27, 12) → 15
Pages 30–31 · Balushahi and books

Adding and subtracting small numbers

✅ Answer7 + 5 = 12 balushahi. Chirag ate 7 − 5 = 2. Books: 9 + 7 = 16.
Tens frame: (a) 14 (b) 15 (c) 3 (d) 9
Pages 32–33 · Stamps

Stamp collection

✅ Answer22 + 30 = 52 stamps · monuments: 52 − 37 = 15 (37 + 15 = 52) · to reach 75: 75 − 52 = 23 more (52 + 23 = 75)
Pages 34–35 · Ginladi and jumps

Jumping frog and grasshopper

✅ AnswerQ1: (a) 40 (b) 35 (c) 28 (d) 27
Q2: 7 → 17, 27, 37, 47, 57, 67, 77, 87, 97 · Q3: 23 → 33, 43, 53, 63, 73, 83, 93 · Q4: 76 → 66, 56, 46, 36, 26, 16, 6
Ants under the leaves: count the numbers hidden between the last number before the leaf and the first number after it.
Jump tables: add 5, 6, or 9 each time, following the arrows (e.g. 34 → 39, 56 → 61, 87 → 82 going back).
Page 36 · Number grid

Where will they land?

✅ AnswerChirag at 19 with 54 → 73. From 23 to 34 is 11 steps.
(a) 45 + 34 = 79 (b) 75 + 56 goes past 100, so he moves back: 75 − 56 = 19 (c) 30 + 66 = 96 (d) 89 − 63 = 26 (moving back)
Page 37 · Magic sums

Puzzles and the magic square

✅ AnswerPuzzle 1: 3 5 8 / 7 9 6 / 1 2 4 · Puzzle 2: 1 3 8 / 4 5 6 / 2 7 9 · Puzzle 3: 1 3 6 / 4 7 8 / 5 2 9 (or 1 3 6 / 7 4 8 / 2 5 9)
(Check puzzle 2 against your book. We solved it using the row and column totals.)
The blue total and the red total are the same, 45 (1 + 2 + … + 9).
Magic square (every line adds up to 15): 8 3 4 / 1 5 9 / 6 7 2
Pages 38–41 · Nani Maa’s fields

Radishes, carrots, and apples

✅ AnswerRadishes: 25 + 36 = 61 · Carrots: 100 − 65 = 35 · Apples: 85 + 67 = 152 · Nandini collected 18 more than Chirag (85 − 67).
Page 42 · Word problems

Solve with box diagrams

✅ Answer1. 34 + 45 = 79 books. Tuesday had 11 more. 2. 56 + 65 = 121 runs 3. Next day = 39 + 12 = 51, so the total is 39 + 51 = 90 vadas 4. 56 − 29 = 27 dried up
Game to 100: try to reach 89 (then any number from 1–10 can’t get your friend to 100, and you win next turn).
Page 43 · More or less than 100

Estimate

✅ AnswerMore than 100: 95 + 10 + 5 = 110 · 124 + 23 + 20 = 167 · 150 − 49 = 101 · 199 − 90 = 109 · 70 + 30 + 1 = 101
Less than 100: 68 − 26 = 42 · 109 − 80 = 29 · 63 + 26 = 89 · 134 − 56 = 78 · 20 + 41 = 61 · 156 − 65 = 91

👨‍👩‍👧 Tips for Parents

  • Play Nani’s hidden-seeds trick with 10 or 20 beans.
  • Make a bead string with 100 beads, changing colour every 10.
  • Ask: “I had ₹50 and spent ₹23. What’s left?”
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