Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 How many right angles are there in a half turn?
Show worked solution
A half turn is two quarter turns, so 2 right angles.
2 The hands of a clock at 3 o'clock make what kind of angle?
Show worked solution
At 3 o'clock the hands are a quarter turn apart, which is a right angle.
3 An angle smaller than a right angle is called what?
Show worked solution
Smaller than a right angle is acute.
Level 2 · Core
4 The hands of a clock at 6 o'clock make what kind of angle?
Show worked solution
At 6 o'clock the hands make a half turn, which is a straight angle.
5 How many right angles are there in a full turn?
Show worked solution
A full turn is 4 right angles.
6 You face north and make a quarter turn clockwise. Which direction do you face?
Show worked solution
A quarter turn clockwise from north faces east.
Level 3 · Challenge
7 You face east, turn clockwise through 3 right angles, then anticlockwise through 1 right angle. Which direction do you face now?
Show worked solution
Clockwise from east: east → south → west → north, so 3 right angles leaves you facing north. One right angle back anticlockwise gives west.
8 Can a triangle have two obtuse angles?
Show worked solution
No — two obtuse angles would already be more than a half turn between them, leaving nothing for the third corner.
9 A clock hand moves from 12 to 4. How many right angles has it turned through?
Show worked solution
12 to 3 is one right angle, and 4 is past 3, so the hand has turned 1 and a bit right angles.
⭐ Bonus Challenge · only if the rest felt easy
10 You are facing east. You turn clockwise through 3 right angles, then anticlockwise through 1 right angle. Which direction are you facing now?
Show worked solution
Clockwise from east: east → south → west → north, so 3 right angles leaves you facing north. One right angle anticlockwise from north takes you to west.