NCERT Solutions for Class 5th Maths Chapter 3 Finding the starting point of a turn — Let Us Think
Book page 37 Updated on2026-09-19
Q1.
In the following circles, the end points of 1/2, 1/4, and 1/8 turns are shown. Draw arrows to show the starting points.
Answer
Each circle already shows the red end arrow, and the green dashed circle shows that the turn was made clockwise. So to find the start, turn backwards — anti-clockwise — by the amount written above the circle.
Here is the method, in three steps.
Read the size of the turn written above the circle: 1/2, 1/4 or 1/8.
Change it into clock hours. A full turn is 12 hours, so 1/2 turn = 6 hours, 1/4 turn = 3 hours, 1/8 turn = 1 and a half hours.
From the red arrow, count back that many hours. Draw the arrow there. That is the start.
Circle
Turn
Red arrow (end) points at
Count back
Start arrow points at
1 (blue, top)
1/2 turn
4:30
6 hours
10:30
2 (blue, lower)
1/2 turn
1:30
6 hours
7:30
3 (orange, top)
1/8 turn
3 o’clock
1½ hours
1:30
4 (orange, lower)
1/8 turn
4:30
1½ hours
3 o’clock
5 (purple, top)
1/4 turn
10:30
3 hours
7:30
6 (purple, lower)
1/4 turn
6 o’clock
3 hours
3 o’clock
Circle 1 — a 1/2 turn. Blue is the starting arrow you must draw; red is the end arrow already printed.Circle 2 — a 1/2 turn. Blue is the starting arrow you must draw; red is the end arrow already printed.Circle 3 — a 1/8 turn. Blue is the starting arrow you must draw; red is the end arrow already printed.Circle 4 — a 1/8 turn. Blue is the starting arrow you must draw; red is the end arrow already printed.Circle 5 — a 1/4 turn. Blue is the starting arrow you must draw; red is the end arrow already printed.Circle 6 — a 1/4 turn. Blue is the starting arrow you must draw; red is the end arrow already printed.
Why it happens: A turn joins a start to an end. If you know the end and the size of the turn, you can go the other way round to get back to the start — exactly like walking back the same number of steps you came forward.
Check it yourself: Put your pencil on the start arrow and sweep it clockwise by the given turn. It must land on the red arrow. If it does not, count again.