alleryStart learning →Two opposite corners are cut from an 8 x 8 chessboard. Can 2 x 1 tiles cover the rest?
AYes, using 31 tiles
BNo, corners share a colour
CYes, if tiles are turned
DNo, because 62 is odd
Answer & Solution
Correct answer: B. No, corners share a colour
Opposite corners share a colour, leaving 30 squares of one colour and 32 of the other, but each tile covers one of each.
Keep practising Constructions and Tilings
Browse all Constructions and Tilings questions for Olympiad (Class 7), or explore more Mathematics topics.
Related questions
How many equal squares meet at each point when squares tile the plane?A 120 degree angle is built from the 60 degree construction by which step?A 30 degree angle is built from the 60 degree angle of an equilateral triangle. Which stepWhat defines a regular polygon?To show angle XAB equals angle YAB, triangles ABX and ABY are matched by which rule?How many perpendicular bisectors does a given line segment have?A point on the perpendicular bisector of XY is 7 cm from X. How far is it from Y?Most animals have bilateral symmetry. Which plane splits the body into left and right halv