Riddles, one at a time
Bead 50
Beads 11 to 49 are not shown. The pattern gold, gold, teal, violet repeats. What colour is bead 50?
Count in groups of 4.
Gold
50 = 12 × 4 + 2: the 2nd bead of the pattern, gold.
Growing Stairs
Steps 4 to 9 are not shown. How many tiles will step 10 have?
Each new step adds a column one tile taller than the last.
55
1 + 2 + 3 + ... + 10 = 55 tiles.
Word Ladder: Grain to Trait
TRAIN
BRAIN to TRAIN changes B to T; TRAIN to TRAIL changes N to L.
Hands Apart: 2:20
What is the SMALLER angle between the hands?
In 20 minutes the hour hand moves 10° past the 2.
50°
Minute hand at 120°, hour hand at 60° + 10° = 70°: 50° apart.
Bead 100
Beads 13 to 99 are not shown. The pattern teal, teal, gold, gold, gold repeats. What colour is bead 100?
Count in groups of 5.
Gold
100 = 19 × 5 + 5: bead 100 is the 5th bead of its group, and the 5th is gold.
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.