A shape has 8-fold rotational symmetry. By what angle must it be turned to look the same again at the first position?
Answer and explanation
Correct answer: C. 45 degrees
- Step 1: A full turn is 360 degrees. Step 2. 360 / 8 = 45 degrees. Answer: 45 degrees. Why not the others: 40 degrees: the angle was calculated for the wrong number of positions. 90 degrees: this is a double turn. 8 degrees: the number of positions was used as the angle.
Practise more Spatial Reasoning.
Free questions with an explanation for every one, and full timed TMS (Test für Medizinische Studiengänge) practice mock tests.
More Spatial Reasoning questions
- How many faces does a cube have?
- A cube is made of 2 x 2 x 2 small cubes and its outer surface is painted. How many small faces are painted in total?
- A cube is made of 3 x 3 x 3 small cubes and its outer surface is painted. How many small faces are painted in total?
- A shape has 3-fold rotational symmetry. By what angle must it be turned to look the same again at the first position?
- A cube is made of 5 x 5 x 5 small cubes and its outer surface is painted. How many small faces are painted in total?
- A shape has 6-fold rotational symmetry. By what angle must it be turned to look the same again at the first position?