Tick Tock Trail
The hands meet at the clock’s centre, so the centre is the angle’s vertex. When you compare the hands, use the smaller marked opening unless the question says otherwise. At three o’clock and nine o’clock this opening is a right angle. At six o’clock the hands make a straight angle.
Before you try
At half past two, is the hour hand exactly on the 2?
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What happened?
Move a control to see what changes and why.
The game practises one idea at a time with simple drawn pictures. Check the same idea with real objects and your NCERT textbook (Chapter 2: Shapes and Angles, pages 28–29).
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Try these ideas
- Draw the hands for 9:00.
- Try a half-hour time and place the hour hand between numbers.
- Compare the openings at 1:00 and 5:00.
Why it works
The hands meet at the clock’s centre, so the centre is the angle’s vertex. When you compare the hands, use the smaller marked opening unless the question says otherwise. At three o’clock and nine o’clock this opening is a right angle. At six o’clock the hands make a straight angle.
The minute hand travels around the clock once each hour. During the same hour, the hour hand moves from one number to the next. At half past two, it is halfway between 2 and 3. Placing it exactly on 2 would show an inaccurate clock, even if the minute hand pointed to 6.
The shorter hand shows hours and the longer hand shows minutes. Their lengths help you identify them, but angle size depends on their directions. Clock Sketcher asks you to draw both hands, then classify their smaller opening. Later times make you look between the hour numbers.
Worked example: What is the smaller angle at 3:00? The minute hand points to 12. The hour hand points to 3. The smaller opening is one quarter-turn: 90°, a right angle.
Check your understanding
Question 1 of 2
At 2:30 the hour hand is…
The smaller angle at 6:00 is…
Explain it in your own words
What changed? Why did it happen? Where might you notice this in everyday life?
For parents & teachers
- Paper clock · 10 minutes. Make a clock with two unequal card hands. Set whole-hour and half-hour times, moving both hands correctly.
- Angle diary · 5 minutes. Sketch one acute, one right and one obtuse clock opening, then write the time beside each.