NCERT Class 2 Mathematics • Classic CBSE

Chapter 1: What is Long, What is Round?

Rolling, Sliding, Towers of Boxes and Coins | CBSE Session 2026–27

Core Pedagogical Competencies & Concepts
  • Distinguishing long objects (rulers, pencils, bats) from round objects (balls, oranges, globes).
  • Understanding which objects roll (smooth curved surfaces) and which slide (flat surfaces).
  • Identifying dual-property objects that both roll and slide (coins, carrom men, pipes, bottle caps).
  • Constructing stable towers using flat-faced objects vs round objects.
Ball (Rolls)Box (Slides)EraserCoin (Both)

All Textbook Exercises & In-Text Tasks (20 Questions)

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Q1 Textbook Exercise • Guess the Shape
In the game 'Guess Its Name', a child says: 'Round all around, has no corners, I can roll it in my hand. Guess what it is!' Give two possible answers.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• The object has no corners and is curved on all sides.
• Two possible answers are a ball and an orange (or a marble/lemon).
CBSE Step-by-Step Marking Scheme
First correct object (e.g. ball/marble) 1 M
Second correct object (e.g. orange/lemon) 1 M
Q2 Textbook Exercise • Long vs Round
Look around your school bag. Name two things that are long and two things that are round.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
1. Long things: Pencil, ruler (scale), sketch pen.
2. Round things: Water bottle cap, round sharpener, coin.
CBSE Step-by-Step Marking Scheme
Two long items identified 1 M
Two round items identified 1 M
Q3 Textbook Exercise • What Rolls and What Slides
What makes an object roll, and what makes an object slide? Explain with one example of each.
[3 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• Roll: Objects with smooth, curved round surfaces roll when pushed. Example: A football or marble.
• Slide: Objects with flat surfaces slide along the floor. Example: A notebook, pencil box, or wooden block.
CBSE Step-by-Step Marking Scheme
Explanation of rolling with example 1.5 M
Explanation of sliding with example 1.5 M
Q4 Textbook Exercise • Things That Both Roll and Slide
Which of the following things can BOTH roll and slide? (A) Matchbox (B) A 5-rupee coin (C) A glass bangle (D) Carrom coin (E) An apple
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
Objects with both flat faces and a curved rim can both roll and slide:
• (B) A 5-rupee coin: slides on flat face, rolls on edge.
• (D) Carrom coin: slides across the board, rolls on rim.
• A matchbox only slides. An apple only rolls. A glass bangle rolls on edge.
CBSE Step-by-Step Marking Scheme
Identification of 5-rupee coin 1 M
Identification of carrom coin 1 M
Q5 Textbook Exercise • Tower Building
Why can you make a tall tower using matchboxes or wooden blocks, but you cannot make a tower using tennis balls?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
1. Matchboxes and blocks have flat surfaces. One flat surface rests firmly on top of another without wobbling.
2. Tennis balls have curved surfaces and no flat face. They roll away and cannot support another ball on top.
CBSE Step-by-Step Marking Scheme
Flat surface stability explained 1 M
Curved round surface instability explained 1 M
Q6 Textbook Exercise • Coin Tower Challenge
Can you stack 5 one-rupee coins to make a tower? Can you make a 10-rupee coin stand upright on its edge?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• Yes, 5 one-rupee coins can easily be stacked on top of each other because each coin has two flat circular faces.
• Yes, a thick 10-rupee coin has a flat outer rim and can stand upright on its edge if balanced steadily on a table.
CBSE Step-by-Step Marking Scheme
Coin stacking explained 1 M
Edge standing explained 1 M
Q7 NCERT Activity • Park Playground
In a children's playground slide, why do children slide down on their seat instead of rolling down?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• The slide is a smooth flat slope.
• When a child sits down, their flat bottom and legs make surface contact, causing them to slide safely downwards rather than tumble or roll.
CBSE Step-by-Step Marking Scheme
Flat contact area identified 1 M
Sliding motion explained 1 M
Q8 Classification Table
Classify the following 6 items into 'Things that roll' and 'Things that slide': Football, Notebook, Orange, Brick, Lemon, Matchbox.
[3 Marks]
✅ Step-by-Step Solution & Working
Classification:
• Things that roll: Football, Orange, Lemon.
• Things that slide: Notebook, Brick, Matchbox.
CBSE Step-by-Step Marking Scheme
Correct rolling items (3) 1.5 M
Correct sliding items (3) 1.5 M
Q9 Textbook Thinking • Spinning Coin
When you spin a 2-rupee coin on a tabletop rapidly like a top, what shape does it look like: a circle, a ball (sphere), or a square?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• When a flat round coin spins very fast on the table, its circular perimeter moves in 3 dimensions.
• It appears to our eyes like a round 3D ball (sphere).
CBSE Step-by-Step Marking Scheme
Identifies ball / sphere appearance 1 M
Explanation of spinning effect 1 M
Q10 Practical Reason • Transport Wheels
Why are the wheels of carts, bicycles, buses, and cars always round and never square or rectangular?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
1. Round wheels have smooth, continuous curved edges that roll effortlessly along roads with very little friction.
2. Square or rectangular wheels have corners that would bump and dig into the road, preventing smooth travel.
CBSE Step-by-Step Marking Scheme
Rolling property of circle explained 1 M
Corners causing obstruction explained 1 M
Q11 Hands-on Exercise • Pipe Roll
Take a sheet of paper. How can you make it roll? How can you make it slide?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Explanation:
• To slide: Keep the sheet flat on the table and push it across; it slides on its flat surface.
• To roll: Roll the paper sheet tightly into a cylindrical tube or pipe; now place it on the slope and it rolls freely.
CBSE Step-by-Step Marking Scheme
Flat sheet sliding method 1 M
Cylinder rolling method 1 M
Q12 Everyday Objects • Kitchen Utensils
Look at a rolling pin (belan) and a cutting board (chakla). Which one rolls and which one slides?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• The rolling pin (belan) has a cylindrical round body that rolls smoothly to flatten dough.
• The chakla (board) has a flat base that sits firmly or slides across the kitchen counter.
CBSE Step-by-Step Marking Scheme
Belan rolling identified 1 M
Chakla sliding identified 1 M
Q13 Comparative Problem • Tower Height
Rohan builds a tower of 6 matchboxes. Priya builds a tower of 8 matchboxes. Whose tower is taller and by how many boxes?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Rohan's tower = 6 boxes.
• Priya's tower = 8 boxes.
• Since 8 > 6, Priya's tower is taller.
• Difference = 8 - 6 = 2 matchboxes taller.
CBSE Step-by-Step Marking Scheme
Priya identified as taller 1 M
Difference of 2 boxes calculated 1 M
Q14 Concept Check • Onion & Tomato
If an onion and a potato are pushed on a sloping ramp, will they roll or slide? Explain why.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• Both an onion and a potato will roll down the slope.
• Reason: They both have rounded, curved surfaces that easily rotate downwards under gravity.
CBSE Step-by-Step Marking Scheme
Correct rolling identification 1 M
Curved surface rationale 1 M
Q15 Creative Construction • Bottle Caps
Can you stack 4 plastic bottle caps to make a mini-tower? Explain how you will place them.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• Yes, you can make a mini-tower.
• Method: Place the first cap flat on the table with its open rim facing up (or down), and stack each subsequent cap flat upon the previous one. Because the caps have flat surfaces, they will balance securely.
CBSE Step-by-Step Marking Scheme
Affirmative answer 1 M
Flat surface placement description 1 M
Q16 Shape Properties • Eraser Examination
Examine a regular rectangular eraser. Can you make it roll? What happens if you push it on a desk?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• A rectangular eraser has flat rectangular faces and sharp straight edges.
• When pushed, it slides along the desk.
• It does not roll unless forced to tumble corner over corner, because it lacks a curved round surface.
CBSE Step-by-Step Marking Scheme
Sliding identified 1 M
Lack of curved surface explained 1 M
Q17 Textbook Summary • Key Learnings
Write three things you learned in Chapter 1 about long and round objects.
[3 Marks]
✅ Step-by-Step Solution & Working
Summary Points:
1. Round objects have curved surfaces and roll.
2. Flat-faced objects slide and can be stacked to make tall towers.
3. Objects with both flat and curved surfaces (like coins, drums, and pipes) can both roll and slide.
CBSE Step-by-Step Marking Scheme
Round/rolling property 1 M
Flat/sliding/tower property 1 M
Dual property of cylinder/coin 1 M
Q18 Multiple Choice Question
Which object will roll down the fastest on a gentle ramp? (a) A shoe box (b) A wooden cube (c) A glass marble (d) A flat ruler
[1 Marks]
✅ Step-by-Step Solution & Working
Correct Answer: (c) A glass marble.
Reason: A glass marble is completely round and smooth, allowing it to roll down rapidly with minimum friction.
CBSE Step-by-Step Marking Scheme
Correct option (c) with reason 1 M
Q19 Textbook Activity • Spinning Coin
Can you make a 1-rupee coin stand on its edge? What happens when you spin it on a flat table: does it look like a ball?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• Yes, with steady fingers, a 1-rupee coin can stand on its flat rim edge.
• When spun fast on the table, it spins round and round and looks like a 3D ball (sphere).
CBSE Step-by-Step Marking Scheme
Standing on edge 1 M
Looking like a ball when spinning 1 M
Q20 Textbook Game • Rolling Pipes
Take a sheet of drawing paper and roll it into a round pipe. Can you roll this paper pipe across the floor? Can you slide it?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Answer:
• Yes, because of its curved outer surface, the paper pipe rolls easily across the floor.
• If you push it upright on its flat open circular edge, it can also slide.
CBSE Step-by-Step Marking Scheme
Rolling on curved surface 1 M
Sliding on circular edge 1 M
🌟 NEP 2020 Competency-Based Case Study

Meeku Uncle's Guessing Bag

Meeku uncle puts his hand into a mystery cloth bag. He feels an object and says: 'Pointed at one end, flat at the other, but round like a pipe in between. What is it?'

Analytical Task: Name the object Meeku uncle is describing. Does this object roll, slide, or do both?
Evaluation & Model Answer:
1. The object is a pencil (or crayon/sketch pen).
2. When kept on its side, it rolls easily. When pushed flat on its base, it slides. Thus, it can do both.
Rubric: 1.5 M for identifying pencil/sketch pen + 1.5 M for explaining both rolling and sliding