Riddles, one at a time
The Lamp and the Wall
Which shadow appears on the wall?
C
Each row's tallest stack sets the shadow.
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.
Inside the Loop: The Winding Wall
Which gem is INSIDE the loop?
Count wall crossings on the way to the edge: odd means inside.
C
Gem C is inside; A, B and D sit in pockets that open to the outside.
Longest Roman Numeral
Which number from 1 to 99 has the longest Roman numeral, written the usual way?
Which digits need the most letters on their own?
88
88 = LXXXVIII, 8 letters. No other number below 100 has 8.
Shaded Part: Tilted Square
What fraction of the square is gold?
Find the area of the four corner triangles that are not gold, then take it away.
5/8
The 4 corner triangles are 3 × 1 ÷ 2 each: 6 of 16 squares. Gold is 10/16 = 5/8.
What Am I? Teeth but No Bite
Which object fits all three clues?
A comb and a saw have teeth too. Check clues 2 and 3.
Key
It has teeth that never bite, opens what is shut and lives on a key ring: D.