Riddles, one at a time
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.
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.
Tangled Cords
Which switch lights the star lantern?
SWITCH C
Follow cord C over and under: it ends at the star.
Yesterday's Clue
What day is tomorrow?
Work out yesterday first, then count forward one day at a time.
Thursday
Yesterday was Tuesday, so today is Wednesday: tomorrow is Thursday.
Turn, Flip, Turn
Which card do you get?
Mark one corner of the card and follow it through each step.
A
Turn, flip top-bottom, turn: the same as one top-bottom flip. A.
Five Sheets, One Pile
Which sheet was placed SECOND?
SHEET E
Order: C, E, A, D, B. Lift them off and see.