26 worked answers · short steps first, explanations when you need them
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Textbook pages 97–99
Question 1
Match the best unit to each length: distance between Delhi and Lucknow; thickness of a coin; length of an eraser; length of a school ground.
Steps only
City distance: km; coin: mm; eraser: cm; school ground: m.
Answer
Delhi–Lucknow: kilometre; coin thickness: millimetre; eraser: centimetre; school ground: metre.
Question 2
Mark each statement True or False: (i) A car moving on a straight road shows linear motion. (ii) An object whose position changes with respect to a reference point over time is in motion. (iii) 1 km = 100 cm.
Steps only
(i) T (ii) T (iii) F.
Answer
(i) True
(ii) True
(iii) False.
Question 3
Which is not a standard unit of length: millimetre, centimetre, kilometre, or handspan?
Steps only
Handspan.
Answer
Handspan. Its size is different for different people.
Question 4
Find different rulers or measuring tapes at home or school. Record the smallest length each can measure in a table.
Steps only
Sample: ruler—1 mm; metre scale—1 mm; tape—1 cm. Use the smallest marks on your own tools.
Answer
Sample table: 15-cm ruler — 1 mm; metre scale with mm marks — 1 mm; tailor’s tape marked in cm — 1 cm. Check the actual markings on your tools, as they may differ.
Question 5
The distance between school and home is 1.5 km. Express it in metres.
Steps only
1.5 × 1000 = 1500 m.
Answer
1.5 km = 1500 m.
Question 6
Measure the curved part around the base of a tumbler or bottle and record it.
Steps only
Use a thread around the base, straighten it, then measure it. Record your object’s result.
Answer
Sample method: wrap thread around the base, mark the full curve, straighten the thread, and measure it with a ruler. Record your own result in centimetres.
Question 7
Measure your friend’s height and express it in (i) metres, (ii) centimetres, and (iii) millimetres.
Steps only
If height is 145 cm: 1.45 m = 145 cm = 1450 mm. Use your own measurement.
Answer
Example for a height of 145 cm:
(i) 1.45 m
(ii) 145 cm
(iii) 1450 mm. Replace 145 cm with your measured value.
Question 8
Estimate how many coins placed edge-to-edge will cover one side of a notebook. Then verify using a 15-cm ruler.
Steps only
Number of coins ≈ notebook side length ÷ coin diameter. Example: 24 cm ÷ 2 cm = 12 coins.
Answer
The number depends on your notebook and coin. Example: if the side is 24 cm and the coin is 2 cm wide, estimate 24 ÷ 2 = 12 coins. Verify by placing them in a row without gaps.
Question 9
Give two examples each of linear, circular, and oscillatory motion.
Sample: mm—coin thickness, seed, bead; cm—pencil, book, spoon; m—room length, board length, tree height. These are examples; actual measurements depend on the object.
Question 11
A ball travels from A to F along the rollercoaster track shown in the book. Identify the type of motion on each part of the track.
Steps only
Straight portions: linear motion. Loop portions, if shown: circular motion. Curved non-loop portions: curved motion.
Answer
The ball has linear motion on straight track sections and curved motion on curved sections. If a section forms a loop, its motion there is circular. Use the bends shown between A–B, B–C, C–D, D–E, and E–F to label each section; motion can change as the track changes.
Question 12
Tasneem wants to make a metre scale from plywood, paper, cloth, stretchable rubber, or steel. Which should she not use, and why?
Steps only
Avoid cloth and stretchable rubber because they bend or stretch; paper is also flimsy.
Answer
She should not use cloth or stretchable rubber because they bend or stretch and can give incorrect measurements. Paper is also less durable and may bend. Plywood or steel is more suitable if marked accurately.
Question 13
Think of and design a card game about converting units of length.
Steps only
Make matching cards for equivalent lengths, e.g. 2 m = 200 cm. Each correct match earns a point.
Answer
Sample game: make pairs such as 2 m and 200 cm, 35 cm and 350 mm, and 4 km and 4000 m. Shuffle the cards and take turns matching equivalent lengths. Each correct match scores one point.
Chapter Questions and Activities
Textbook pages 80–96, 99–100
Question p1
Why is it not convenient to use metres for both the distance between two cities and the thickness of a page?
Steps only
Kilometres suit city distances; millimetres suit page thickness.
Answer
Use kilometres for long distances and millimetres for very small thicknesses. Choosing a suitable unit makes measurements easier to understand.
Question p2
Will everyone get the same table length if they all use a metre scale? What must they do correctly?
Steps only
Nearly the same, if the scale is straight, starts at zero, and is read from above.
Answer
They should get nearly the same result if they use the scale correctly: align it with the table, start at zero, and read directly above the mark.
Question p3
How can you measure an object if the zero end of the ruler is broken?
Steps only
Length = end reading − start reading.
Answer
Use a clear mark as the start and subtract: length = ending reading − starting reading. For example, 10.4 cm − 1.0 cm = 9.4 cm.
Question p4
How can you measure a curved line?
Steps only
Use flexible tape or a thread; straighten and measure the thread.
Answer
Measure along it with flexible tape, or use a thread and then measure the straightened thread with a ruler.
Question p5
What is a reference point, and why can people disagree about which place is closer?
Steps only
A fixed point used to describe position; compare from the same reference point.
Answer
A reference point is a fixed place used to describe position or distance. People may disagree because they are measuring from different homes. Compare distances from the same reference point.
Question p6
What do kilometre stones show? Why did Padma know she was getting closer to Delhi?
Steps only
They show distance to Delhi; a smaller number means she is closer.
Answer
They show distance from a named place. Padma knew she was closer because the distance on the stones decreased from 70 km to 60 km.
Question p7
When does an object’s position change? How do we decide if it is moving?
Steps only
It moves when its position changes over time relative to a reference point.
Answer
An object is moving if its position changes with time relative to a reference point.
Question p8
Are seated passengers moving or at rest?
Steps only
At rest relative to the bus; moving relative to outside objects.
Answer
They are at rest relative to the bus, but moving relative to objects outside it. Motion depends on the chosen reference point.
Question p9
Give five examples of objects in motion and five at rest, and explain how you decided.
Steps only
Examples vary. Compare each object’s position to a fixed point over time.
Answer
Sample lists: moving—walking student, flying bird, rolling ball, moving bus, rotating fan; at rest—desk, tree, parked bicycle, closed door, building. These are judged relative to the ground.
Question p10
Classify examples of motion as linear, circular, or oscillatory.
Examples: lift moving up (linear), merry-go-round (circular), swing moving back and forth (oscillatory).
Question p11
How could you estimate the thickness of one notebook page using a ruler?
Steps only
Measure many pages together, then divide thickness by page count.
Answer
Measure a stack of pages and divide its thickness by the number of pages. For example, a 5 mm stack of 50 pages gives about 0.1 mm per page.
Question p12
How can you compare the length and breadth of leaves from the same tree?
Steps only
Measure length and widest breadth; record each leaf. Natural leaves vary.
Answer
Measure and record the length and widest breadth of each leaf. Leaves from one tree can still differ because they grow under slightly different conditions.
Question p13
How can wheel turns help estimate the distance a bicycle travels?
Steps only
Distance = wheel circumference × number of turns.
Answer
Distance travelled ≈ wheel circumference × number of turns. If the wheel circumference is 2 m and it turns 100 times, the distance is about 200 m.