Riddles, one at a time
What comes next? 2, 6, 12, 20, 30, ?
Growing Gaps
Look at how far apart the numbers are.
42
The gaps grow by two each time: +4, +6, +8, +10, then +12. 30 + 12 = 42.
Inside the Loop: Four Gems
Which gem is INSIDE the loop?
Trace a straight line from a gem to the edge and count the walls.
A
A line from A to the edge crosses the wall once (odd): A is inside. B, C and D reach the edge without crossing.
Shaded Part: The Triangle
What fraction of the square is gold?
Cut the triangle down the middle and move one half.
1/2
The triangle has the full base and full height of the square, so it is half: 8 of 16 squares.
Dim or Bright
What number does the last row show?
First find each lamp's value: the top row gives the left lamp.
22
The top 3 rows give lamp values 9, 3 and 1. Bright counts double: 18 + 3 + 1 = 22.
Mirror Clock: 13:31
How many minutes until the clock shows the next mirror time?
Try the next hour: 14:??
70 minutes
The next mirror time is 14:41, 70 minutes later.
Two Candles: 32 cm and 22 cm
After how many hours are they the same height?
Find the gap at the start, then how much it closes each hour.
5 hours
After 5 h: A is 32 − 20 = 12 cm, B is 22 − 10 = 12 cm.
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