NCERT Solutions for Class 5th Maths Chapter 3 Angles as Turns
Updated on 2026-09-19
About this chapter
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 angl
- Let us play “Statue”
- The giant wheel, and things that turn
- Angles arise in situations that involve a turn
- Paper fan, cardboard house, five-sided shape, gymnasts
- Adding two turns
- Making your own tools to measure turns
- Finding the starting point of a turn
- Measuring angles and turns with your own tools
- Clockwise and anti-clockwise
- Turning to face a direction
Quick revision
| 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 |
Exercises
- Let us play “Statue” — In-text Questions Page 32
- The giant wheel, and things that turn — In-text Questions Page 33
- Angles arise in situations that involve a turn — In-text Questions Page 34
- Paper fan, cardboard house, five-sided shape, gymnasts — Let Us Do Page 34–36
- Adding two turns — In-text Questions Page 35
- Making your own tools to measure turns — Angle Measuring Tool Page 36–37
- Finding the starting point of a turn — Let Us Think Page 37
- Measuring angles and turns with your own tools — Let Us Do Page 38–40
- Clockwise and anti-clockwise — Which direction? Page 40
- Turning to face a direction — Fun with Turns Page 40–41