Download Angles as Turns – NCERT Class 5 Maths Chapter 3 PDF from the new NCERT Class 5 Maths book Maths Mela (2026-27). Read the chapter online or download the free PDF. A turn is measured against a full circle. Spin round once and come back to where you started — that is one full turn. Half of it is a half turn, and a quarter of it is a quarter turn. When you stop after a turn, the space between where you began and…
Angles as Turns PDF – Chapter 3 of Maths Mela
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 3 PDF | Angles as Turns | View PDF |
| Full book | NCERT Class 5 Maths – Maths Mela | View Book |
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What Is in Angles as Turns? (Class 5 Maths Chapter 3)
- A turn is measured against a full circle. Spin round once and come back to where you started — that is one full turn. Half of it is a half turn, and a quarter of it is a quarter turn. When you stop after a turn, the space between where you began and where you stopped is called an angle.
- Turns add up like fractions. Two quarter turns make a half turn, because 1/4 + 1/4 = 2/4 = 1/2. Two half turns make a full turn, because 1/2 + 1/2 = 1. Four quarter turns also make a full turn, because 4/4 = 1. This is the whole idea of the chapter in one line.
- Each size of turn has an angle name. A 1/4 turn is a right angle — a square corner, like the corner of your notebook. Less than a 1/4 turn is an acute angle. Between a 1/4 and a 1/2 turn is an obtuse angle. Exactly a 1/2 turn is a straight angle, where the two arms lie in one straight line.
- You can make your own tools to measure turns. Fold a circle of tracing paper in half three times and it opens into 8 equal parts, each one a 1/8 turn. Fold another circle in half and then into 3, and you get 6 equal parts, each a 1/6 turn. Fold one of those in half again and you have a 1/12 turn. Cut the parts out, paste them on card, and you have a set of angle measuring tools.
- Big angles are measured by using the tools together. If the 1/4 tool fits once and then the 1/8 tool fits once, the angle is 1/4 + 1/8 = 3/8 of a turn. If the 1/6 tool fits twice, the angle is 2/6 of a turn. This is what the book calls “a combination of measures”.
- A clock is a turning machine. The minute hand takes 60 minutes for one full turn, and the face is divided into 12 equal gaps by the numbers. So one gap = 5 minutes = 1/12 turn; 15 minutes = 1/4 turn; 30 minutes = 1/2 turn; 45 minutes = 3/4 turn; 60 minutes = a full turn.
- Turning has two directions. The way the hands of a clock go — 12, 1, 2, 3 — is called clockwise. The opposite way is anti-clockwise. You open a tap, a lid or a nut by turning anti-clockwise, and close it by turning clockwise.
- Turning changes the direction you face. One right angle clockwise takes you from North to East, then to South, then to West and back to North. Four right angles bring you right back to the start, so when you are told to make 5 right angles you really only need to make 1.
Quick revision – Angles as Turns
| Word | What it means | Where it appears | Example |
|---|---|---|---|
| Turn | How far something has rotated, compared with one whole circle | Page 32, the “Statue” game | Ashutosh makes a full turn; Sahana makes a half turn |
| Full turn | All the way round, back to the starting position | Page 33, the giant wheel | 4 quarter turns = 1 full turn |
| Half turn (1/2) | Half of a full circle — you end up facing the opposite way | Page 33, Reema’s turns | 2 quarter turns = a half turn |
| Quarter turn (1/4) | One fourth of a full circle — a square corner | Page 34, the girl with the straws | The minute hand from 3 to 6 |
| Angle | The opening made between the starting arm and the finishing arm of a turn | Page 34, “Angles arise in situations that involve a turn” | The opening of a paper fan |
| Right angle | The angle of a 1/4 turn — a square corner | Page 34–35, the angle table | The corner of a notebook |
| Acute angle | Any angle smaller than a right angle (less than 1/4 turn) | Page 34, the fan and the straws | A 1/8 turn, a 1/6 turn, a 1/12 turn |
| Obtuse angle | Any angle between a 1/4 turn and a 1/2 turn | Page 35, the fan table | A 3/8 turn, a 2/6 turn |
| Straight angle | The angle of a 1/2 turn — the two arms lie in one straight line | Page 34, the boy with the straw | A file cover opened out flat |
| Angle measuring tool | Cut-out parts of a folded paper circle (1/8, 2/8, 1/6, 2/6, 1/12) used to measure turns | Pages 36–37 | Two 1/6 tools together measure a 2/6 turn |
| Clockwise | Turning the way the hands of a clock go: 12 → 3 → 6 → 9 | Page 40, “Which direction?” | Closing a tap |
| Anti-clockwise | Turning the opposite way: 12 → 9 → 6 → 3 | Page 40, “Which direction?” | Opening a bottle lid |
Old NCERT vs New – Class 5 Maths
This chapter is from Maths Mela, the new NCERT Class 5 Maths book (NCF-SE 2023, used from 2025-26). It replaced the old book “Math-Magic”, so chapter numbers and names differ from older PDFs.
Solutions and All Chapters
Answers to the exercises and the full chapter list of Maths Mela:
Angles as Turns – Overview
| Class | Class 5 |
| Subject | Maths |
| Book | Maths Mela – new NCERT book |
| Chapter | 3 of 15 – Angles as Turns |
| Book pages | 32 – 41 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 5 Maths Chapter 3 – FAQs
Where can I download Angles as Turns Class 5 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 5 Maths Chapter 3 about?
A turn is measured against a full circle. Spin round once and come back to where you started — that is one full turn. Half of it is a half turn, and a quarter of it is a quarter turn. When you stop after a turn, the space between where you began and where you stopped is called an angle.
Is Angles as Turns from the new NCERT Class 5 Maths book?
Yes. It is chapter 3 of maths mela, the new NCERT Class 5 Maths book for 2026-27.
Is this the latest NCERT edition for 2026-27?
Yes – the PDF is NCERT’s latest edition for the 2026-27 session.
Where are the NCERT Solutions for Class 5 Maths Chapter 3?
Open the NCERT Solutions link above for answers to the exercise questions.