Riddles, one at a time
Diamond Window
How many closed areas can you count?
Work outward: circle slices, then the diamond, then the corners.
16
8 corner pieces + 4 pieces round the circle + 4 slices inside it: 16.
Shaded Part: The Triangle
What fraction of the square is gold?
Cut the triangle down the middle and move one half.
1/2
The triangle has the full base and full height of the square, so it is half: 8 of 16 squares.
Fewest Tokens: Pay 14
Which tokens pay 14 with the fewest tokens?
Biggest first is not always fewest. Try every pair.
7 + 7
Just 2 tokens. Biggest first, 10 + 1 + 1 + 1 + 1, needs 5.
Shaded Part: The Pinwheel
What fraction of the square is gold?
Find the dark area instead: one middle square plus four thin slivers.
2/3
The dark part is 1 middle square + 4 halves = 3 of 9 squares, so gold is 6/9 = 2/3.
Sun Gate to Moon Gate
Fewest days from sun to moon?
13 DAYS
Two oases then a tower: 3 + 5 + 2 + 3 = 13.
One Piece Fits
Pieces may turn but never flip over. Which piece fills the hole?
PIECE C
Turn C a quarter turn: it drops right in.