Riddles, one at a time
Open the Tap
Valves stay as shown. Which jar fills with water?
JAR C
Every other route ends at a closed valve.
Twin Panels
How many TILES were changed?
6
Dot, turn, colour, corners, shape and ring.
How Many Routes: One Cone
Moving only right or up, how many different routes lead from start to the gem?
Give the cone corner 0, then add the counts from the left and below.
8
There are 20 routes in all, and 12 of them pass the cone: 20 − 12 = 8.
Mirror Odometer: 15951
How many more km until the next mirror number?
The middle digit is already 9, so it cannot go up. What has to change instead?
110 km
The next mirror number is 16061: 16061 − 15951 = 110.
Shape Sudoku
Which of the six shapes fits the ? cell?
Start with the box that has the most shapes.
DIAMOND
Solve the whole grid: only a diamond fits there.
How Many Routes: Pass the Lantern
Moving only right or up, how many routes from start to the gem pass the lantern?
Count the ways to the lantern, then the ways from it to the gem, and multiply.
36
6 ways to the lantern, then 6 ways on: 6 × 6 = 36.