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Tamil Nadu (TNBSE)Class 3 Mathematics★ 5-6 marks across TN Class 3 exams — standard units (m/cm/km, kg/g, L/mL), unit conversions, and measurement word problems

Measurements

Samacheer Kalvi (TN State Board) Class 3 Mathematics — Chapter 4, Measurements. Standard units of length and weight. Study notes, key concepts, worked examples, practice questions and quick revision for exam preparation.

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By the end of this chapter you'll be able to…

1Identify standard units: length (km, m, cm), weight (kg, g), capacity (L, mL)
2Convert between units: 1 km = 1000 m, 1 m = 100 cm, 1 kg = 1000 g, 1 L = 1000 mL
3Measure length using a ruler (cm) and metre tape
4Read a weighing scale in kg and g
5Read measuring jugs and containers in L and mL
6Solve measurement word problems involving all three quantities

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Why this chapter matters

Class 3 moves from body-based measurement (handspan, cubit) to standard units. Children learn the metric system: metre, centimetre, and kilometre for length; kilogram and gram for weight; litre and millilitre for capacity. They convert between units (1 km = 1000 m, 1 m = 100 cm, 1 kg = 1000 g, 1 L = 1000 mL) and solve real-world problems: 'How many 250 mL cups can fill a 1 L bottle?' This is practical mathematics used every day — in the kitchen, at the tailor, in the market.

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Measurements — Class 3 Mathematics (Samacheer Kalvi)

TN State Board (Samacheer Kalvi) Class 3 Mathematics, Chapter 4. Standard units of length and weight.

1. About this chapter

This chapter covers Measurements as part of the Class 3 Samacheer Kalvi Mathematics curriculum. It deals with standard units of length and weight and builds conceptual understanding essential for the TN School Term Exam.

By the end of this chapter, students will be able to:

Measure length in centimetres and metres
Measure weight in grams and kilograms

2. Key concepts

Concept 1: Measure length in centimetres and metres.
Concept 2: Measure weight in grams and kilograms.

3. Important terms and formulas

Term / Formula	Description
Measure length in centimetres…	Measure length in centimetres and metres
Measure weight in grams…	Measure weight in grams and kilograms

4. Worked examples

Example 1. Applying a key concept from this chapter.

Solution: Identify the relevant principle → apply the formula or rule → state the answer with correct units.

Example 2. A typical exam-style question on measurements.

Solution: Break the problem into steps, use the appropriate formula and verify the answer.

5. Common mistakes

Mistake: Skipping units or forgetting to state them. Fix: Always write units alongside every quantity and answer.
Mistake: Confusing similar terms or concepts in this chapter. Fix: Make a comparison table of the terms during revision.

6. Practice (exam-style)

Define the main term or principle covered in Chapter 4.
Give two real-life examples related to measurements.
Solve a short numerical or descriptive question from this chapter.
State one important formula and explain each symbol.

7. Answer key (hints)

Refer to section 2 (Key concepts) above for the definition.
Examples should be drawn from daily experience and local context.
Apply the formula from section 3, show all steps clearly.
Formula with units — refer to the textbook glossary for symbol meanings.

8. Quick revision

Class 3 Mathematics — Chapter 4: Measurements.
Core idea: Standard units of length and weight.
Key outcomes: Measure length in centimetres and metres; Measure weight in grams and kilograms.
Always revise diagrams / tables from the Samacheer Kalvi textbook before the exam.

Key formulas & results

Everything you need to memorise, in one card. Screenshot this for revision.

Length conversions

1 km = 1000 m. 1 m = 100 cm. To convert km to m: multiply by 1000. To convert m to cm: multiply by 100. Examples: 3 km = 3000 m. 2.5 m = 250 cm.

Tamil Nadu's coastline is about 1076 km long — that is 1,076,000 metres! The distance from Chennai to Madurai is about 460 km.

Weight conversions

1 kg = 1000 g. To convert kg to g: multiply by 1000. Example: 2 kg = 2000 g. 1.5 kg = 1500 g. 250 g = 0.25 kg (quarter kilogram).

A bag of rice is typically 25 kg. A packet of biscuits is about 200 g. A newborn baby weighs about 2.5-3.5 kg.

Capacity conversions

1 L = 1000 mL. To convert L to mL: multiply by 1000. Example: 2 L = 2000 mL. 500 mL = 0.5 L (half litre). 250 mL = 0.25 L (quarter litre).

A standard water bottle is 1 L. A small tetra pack juice is 200 mL. A teaspoon holds about 5 mL.

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Common mistakes & fixes

These are the exact errors that cost students marks in board exams. Read them once, save yourself the trouble.

WATCH OUT

✗ Writing 1.5 m as '1 m 5 cm' instead of '1 m 50 cm'

✓ 1.5 m means 1 metre + 0.5 (half) of a metre = 1 m + 50 cm. The decimal 0.5 means 5/10 = 50/100, not 5/100. Always convert: 0.5 × 100 = 50 cm.

WATCH OUT

✗ Confusing 1000 g = 1 kg with 100 g = 1 kg

✓ 1 kg = 1000 g. 'Kilo' means thousand. Think: 1 kilometre = 1000 metres. 1 kilogram = 1000 grams. Same prefix, same meaning.

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