Chapter 12 of 14
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NCERT Class 3 Mathematics • Classic CBSE Track

Chapter 12: Can We Share?

Division as Equal Distribution, Equal Jumps on Number Line, Remainders & Word Problems | CBSE Session 2026–27

Core Pedagogical Competencies & Concepts
  • Equal sharing among individuals: understanding dividend, divisor, and quotient.
  • Grouping objects into bundles of equal size.
  • Division on the number line using backward jumps.
  • Handling remainders: what happens when items cannot be shared equally.
Division on Number Line — 18 ÷ 3 = 6 Backward Jumps 18 15 12 9 6 3 0 6 jumps of 3 taken backwards from 18 to reach 0 → 18 ÷ 3 = 6

All Textbook Exercises & In-Text Tasks (17 Questions)

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Q1 Equal Sharing • Division Facts
There are 28 laddoos. Mother shares them equally among 4 plates. (a) How many laddoos are on each plate? (b) Write the related multiplication fact.
[2 Marks]
✅ Step-by-Step Solution & Working
Solution:
• Total laddoos = 28
• Number of plates = 4
• (a) Division Fact: 28 ÷ 4 = 7 laddoos per plate.
• (b) Related Multiplication Fact: 4 × 7 = 28 (or 7 × 4 = 28).
CBSE Step-by-Step Marking Scheme
Correct division quotient (7) 1.0 M
Correct related multiplication statement 1.0 M
Q2 Division with Remainder • Problem Solving
A teacher has 35 craft ribbons. She gives 4 ribbons to each group for an art project. (a) How many groups will receive ribbons? (b) How many ribbons will be left over?
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-step Solution:
1. Divide 35 by 4:
• 4 × 8 = 32
• 35 - 32 = 3
2. (a) Groups receiving ribbons: 8 groups.
3. (b) Ribbons left over (remainder): 3 ribbons.
CBSE Step-by-Step Marking Scheme
Correct division calculation and quotient (8) 1.5 M
Correct remainder identification (3 ribbons) 1.5 M
Q3 Frog Jump Division • Number Line
A frog takes jumps of 3 steps at a time on a numbered track. How many jumps will it take to reach: (a) 15? (b) 27? Show the division sentences.
[2 Marks]
✅ Step-by-Step Solution & Working
Jumps:
• (a) To reach 15: 15 ÷ 3 = 5 jumps.
• (b) To reach 27: 27 ÷ 3 = 9 jumps.
CBSE Step-by-Step Marking Scheme
Correct jumps for 15 (5 jumps) 1.0 M
Correct jumps for 27 (9 jumps) 1.0 M
Q4 Caterpillars on Leaves • Grouping & Division
There are 21 caterpillars. They are sitting equally on 3 green leaves.
(a) How many caterpillars are on each leaf?
(b) Write the division sentence and multiplication check fact.
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) Caterpillars per Leaf:
• Total caterpillars = 21.
• Number of leaves = 3.
• Caterpillars on each leaf = 21 ÷ 3 = 7 caterpillars.

(b) Mathematical Sentences:
• Division Sentence: 21 ÷ 3 = 7.
• Multiplication Check Fact: 3 × 7 = 21.
CBSE Step-by-Step Marking Scheme
Correct caterpillars per leaf (7) 1.0 M
Correct division sentence (21 ÷ 3 = 7) 1.0 M
Correct multiplication check fact (3 × 7 = 21) 1.0 M
Q5 Sharing Grains • Mother Bird and Chicks
Mummy bird has 12 grains of corn. She distributes them equally among her 4 baby chicks.
(a) How many grains does each chick get?
(b) If Mummy bird brings 8 more grains, how many total grains does each chick get now?
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) Initial Sharing:
• 12 grains ÷ 4 chicks = 3 grains per chick.

(b) After Bringing 8 More Grains:
• Extra grains per chick = 8 ÷ 4 = 2 grains.
• Total grains per chick = 3 + 2 = 5 grains per chick (or 20 ÷ 4 = 5).
CBSE Step-by-Step Marking Scheme
Correct initial share (3 grains) 1.5 M
Correct updated share (5 grains) 1.5 M
Q6 Money Sharing • ₹10 Notes
Grandmother gave ₹60 to be divided equally among her 3 grandchildren: Anu, Bitoo, and Chintu.
(a) How many ₹10 notes will each child get?
(b) How much money does each child receive in rupees?
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Total money = ₹60.
• In ₹10 notes: ₹60 = six ₹10 notes.
(a) ₹10 Notes per Child:
• 6 notes ÷ 3 children = two ₹10 notes each.

(b) Amount in Rupees:
• 2 × ₹10 = ₹20 each (or ₹60 ÷ 3 = ₹20).
CBSE Step-by-Step Marking Scheme
Correct number of ₹10 notes (2 notes) 1.5 M
Correct amount in rupees (₹20) 1.5 M
Q7 Jumps of Frog • Division on Number Line
A frog starts at 18 on a number line and jumps 2 steps backward at a time towards 0.
(a) How many jumps does it take to reach 0?
(b) Write this as a division problem.
[3 Marks]
✅ Step-by-Step Solution & Working
Division as Repeated Subtraction:
(a) Jumps:
• 18 - 2 = 16 (1 jump)
• 16 - 2 = 14 (2 jumps)
• ...
• 18 ÷ 2 = 9 jumps to reach 0.

(b) Division Problem:
• 18 ÷ 2 = 9.
CBSE Step-by-Step Marking Scheme
Correct jump count (9 jumps) 1.5 M
Correct division expression (18 ÷ 2 = 9) 1.5 M
Q8 Textbook Exercise • Real-Life Math
In Chapter 12 ('Can We Share?'), a student solves an NCERT word problem: If 1 kg of apples costs ₹60 and 1 kg of oranges costs ₹40, how much do 2 kg of apples and 3 kg of oranges cost altogether?
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
1. Cost of 2 kg apples = 2 × ₹60 = ₹120.
2. Cost of 3 kg oranges = 3 × ₹40 = ₹120.
3. Total cost = ₹120 + ₹120 = ₹240.
CBSE Step-by-Step Marking Scheme
Apples = ₹120 1 M
Oranges = ₹120 1 M
Total = ₹240 1 M
Q9 In-Text Activity • Hands-on Investigation
In 'Can We Share?', how do you measure and compare quantities accurately? Explain with an example using standard units.
[3 Marks]
✅ Step-by-Step Solution & Working
Measurement Explanation:
• Standard units provide consistent and reliable measurements across the world.
• For length, we use metres (m) and centimetres (cm).
• For weight, we use kilograms (kg) and grams (g).
• For liquids, we use litres (L) and millilitres (mL).
• Unlike non-standard units (such as footsteps or handspans), standard units give the exact same measurement no matter who measures.
CBSE Step-by-Step Marking Scheme
Standard units defined 1.5 M
Examples for length, weight, liquid 1.5 M
Q10 Practice Time • Two-Step Word Problem
Suresh bought a school bag for ₹175 and a pencil box for ₹45. He gave a ₹500 note to the shopkeeper. How much change did he receive?
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
1. Total money spent = ₹175 + ₹45 = ₹220.
2. Amount paid = ₹500.
3. Change returned = ₹500 - ₹220 = ₹280.
CBSE Step-by-Step Marking Scheme
Total spent = ₹220 1.5 M
Change = ₹280 1.5 M
Q11 Mental Math • Quick Calculations
Calculate mentally without writing long columns:
(a) 250 + 150 = ?
(b) 500 - 180 = ?
(c) 4 × 25 = ?
(d) 100 ÷ 4 = ?
[2 Marks]
✅ Step-by-Step Solution & Working
Mental Calculations:
• (a) 250 + 150 = 400.
• (b) 500 - 180 = 320.
• (c) 4 × 25 = 100.
• (d) 100 ÷ 4 = 25.
CBSE Step-by-Step Marking Scheme
All 4 mental results correct 2 M
Q12 Geometry & Shapes • Edge and Corner Counting
Name a 3D solid shape that has:
(a) 6 flat square faces, 12 straight edges, and 8 corners.
(b) 1 curved surface and 2 flat circular faces.
(c) Only 1 curved surface and 0 corners.
[3 Marks]
✅ Step-by-Step Solution & Working
Solid Shapes:
• (a) 6 square faces, 12 edges, 8 corners: Cube.
• (b) 1 curved and 2 circular faces: Cylinder.
• (c) Only 1 curved surface, 0 corners: Sphere.
CBSE Step-by-Step Marking Scheme
Cube 1 M
Cylinder 1 M
Sphere 1 M
Q13 Pattern Time • Sequences and Rules
Identify the rule and find the next two terms: 5, 10, 20, 40, ___, ___.
[2 Marks]
✅ Step-by-Step Solution & Working
Rule: Each term is multiplied by 2 (doubled).
• 40 × 2 = 80
• 80 × 2 = 160.
Next terms are 80, 160.
CBSE Step-by-Step Marking Scheme
Next terms 80, 160 1 M
Rule: multiplying by 2 1 M
Q14 Time & Calendar • Date Calculation
Rohan's summer vacation starts on 15th May and ends on 30th June. How many total days of vacation does Rohan get? (Remember: May has 31 days).
[3 Marks]
✅ Step-by-Step Solution & Working
Days Count:
• Days in May: From 15th to 31st = (31 - 15) + 1 = 17 days.
• Days in June: Full 30 days = 30 days.
• Total vacation days = 17 + 30 = 47 days.
CBSE Step-by-Step Marking Scheme
May days = 17 1.5 M
June days = 30; Total = 47 days 1.5 M
Q15 Equal Sharing • Division Problem
Mother bakes 36 cookies and wants to distribute them equally among 4 children. How many cookies does each child receive? Write the division sentence.
[2 Marks]
✅ Step-by-Step Solution & Working
Equal Sharing:
• Total cookies = 36.
• Number of children = 4.
• Cookies per child = 36 ÷ 4 = 9 cookies.
• Division sentence: 36 ÷ 4 = 9.
CBSE Step-by-Step Marking Scheme
36 ÷ 4 = 9 cookies 2 M
Q16 Data Handling • Reading a Bar Chart
A survey of pets owned by children: Dog (14), Cat (10), Parrot (6), Fish (8).
(a) Which pet is owned by the least number of children?
(b) How many total pets are there?
(c) How many more dogs are there than parrots?
[3 Marks]
✅ Step-by-Step Solution & Working
Survey Analysis:
• (a) Least owned pet: Parrot (only 6).
• (b) Total pets: 14 + 10 + 6 + 8 = 38 pets.
• (c) Difference: 14 Dogs - 6 Parrots = 8 more dogs.
CBSE Step-by-Step Marking Scheme
Parrot least 1 M
Total = 38 1 M
Difference = 8 1 M
Q17 Money • Making a Change
A toy train costs ₹85. You pay with a ₹100 note. The shopkeeper gives you change in 5-rupee coins only. How many 5-rupee coins do you receive?
[2 Marks]
✅ Step-by-Step Solution & Working
Calculations:
• Change due = ₹100 - ₹85 = ₹15.
• Number of 5-rupee coins = ₹15 ÷ ₹5 = 3 coins.
CBSE Step-by-Step Marking Scheme
Change = ₹15 1 M
3 coins of ₹5 1 M
🌟 NEP 2020 Competency-Based Case Study

Library Bookshelf Organization

The primary section library has 54 new storybooks. Each shelf can hold exactly 9 books.

Analytical Task: How many shelves will be completely filled? If 2 more books arrive, can another shelf be filled?
Evaluation & Model Answer:
1. Shelves filled = 54 ÷ 9 = 6 shelves completely filled.
2. If 2 more books arrive, total books = 54 + 2 = 56.
3. To fill another (7th) shelf, they would need 9 books. Since they only have 2 extra books (7 books short), no, another shelf cannot be filled.
Rubric: 1.5M division of 54 ÷ 9 = 6 + 1.5M remainder analysis for extra books.
⬅️ Ch 11: Jugs and Mugs Ch 13: Smart Charts! ➡️