I was puzzled by the pattern sequence in the following picture. What is the pattern to show up in the box? This is a question from a primary school workbook for selective high examinations in Sydney.

enter image description here

Thank you very much for your help!

  • $\begingroup$ interestingly, there is a pattern of 4, 8, 12 in the amount of line segments that make up the figures. However none of the options have 16. $\endgroup$
    – Legorhin
    Oct 3, 2019 at 20:19
  • $\begingroup$ Many thanks to everyone who has come in to join in the crack of the puzzle. All the thoughts put forward here are quite innovative in a way. Personally, I agree with the solution by @Lidaranis because that is the difference which is least arguable so far. Thank you again for your participation! $\endgroup$ Oct 5, 2019 at 11:43

3 Answers 3


2. There are no right angles in the sequence, and 2 is the only one without right angles.

  • $\begingroup$ This is more convincing then @K Sharing's answer. $\endgroup$
    – Duck
    Oct 4, 2019 at 0:09
  • $\begingroup$ Yes, agree that +1. And think that it's puzzle for primary school should not to be so complicated. $\endgroup$
    – Conifers
    Oct 4, 2019 at 2:52

The answer should be 2. It is basically w, x, y, and z. However, the letters are a bit modified.

  • 1
    $\begingroup$ The third one hardly looks like y... $\endgroup$ Oct 3, 2019 at 13:38
  • $\begingroup$ look at the two diagonal lines $\endgroup$ Oct 3, 2019 at 13:39
  • $\begingroup$ Yeah I see it but it seems kinda weak. $\endgroup$ Oct 3, 2019 at 13:40
  • $\begingroup$ I was thinking the same but it doesnt seem convincing $\endgroup$ Oct 3, 2019 at 13:41
  • $\begingroup$ I mean you can kind of distort 4 to make it a z $\endgroup$ Oct 3, 2019 at 13:48

I believe 2 since the (smaller) angle between any two intersecting lines should be the same in all figures (45 degrees).

  • $\begingroup$ The third image in the sequence has 60-degree angles $\endgroup$ Oct 3, 2019 at 20:19

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