Riddles, one at a time
Gem Finder: One Safe Tile
A number counts the gems in the 8 tiles around it; numbered tiles have none. Which lettered tile has NO gem?
A 0 means none of the tiles around it has a gem.
D
D touches a 0, so it is empty. The numbers force gems under A, B and C.
Shaded Part: Three Corners
What fraction of the square is gold?
Split the square into four quarters. How much of each quarter is gold?
3/8
Each triangle is half a quarter: 3 × 1/8 = 3/8.
What Comes Next?
Which tile, A, B, C or D, comes next?
C
Turn 135 degrees clockwise and add one dot.
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.
Two Candles: 12 cm and 8 cm
After how many hours are they the same height?
Find the gap between the candles, then how much it shrinks each hour.
4 hours
After 4 h: A is 12 − 8 = 4 cm, B is 8 − 4 = 4 cm.
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.