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July 2026 Challenge

Each month, a new set of puzzles will be posted.  Come back next month for the solutions and a new set of puzzles, or subscribe to have them sent directly to you.

Click here to download the printable version

 

Puzzle One

Can you trace the following shape without lifting your pencil off the page or crossing a pencil line or using the same segment twice?
Note: Show your trace clearly from START to END, and there can be more than one valid starting point.

Puzzle Two

300 exercise books are arranged into 3 piles. The first pile has 10 more books than the second pile. The second pile has twice the number of books as the third pile. How many books are there in the third pile?

Puzzle Three

A true classic puzzle: If one and a half hens lay one and a half eggs in one and a half days, how many eggs does one hen lay?

 

Feedback

There are more than one way of doing these puzzles and may well be more than one answer.  Please let me and others know what alternatives you find by commenting below.  We also welcome general comments on the subject and any feedback you'd like to give.

If you have a question that needs a response from me or you would like to contact me privately, please use the contact form.

 

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Last month's solutions

Click here to download the printable version

Cross-Numbers Puzzle No. 3

Solution:

ACROSS

1. 6 DOWN plus 23 DOWN
4. Digits of 17 DOWN in a different order
7. 27 ACROSS plus 10 ACROSS
8. 27 ACROSS plus 24 ACROSS
10. 24 ACROSS times two
12. 22 ACROSS times two
14. A number having all the same digits
15. 10 ACROSS plus 2 DOWN
17. 15 ACROSS plus 24 ACROSS
18. 3 DOWN plus 17 DOWN
19. 27 ACROSS times eight
20. Digits in 9 DOWN in a different order
22. The square of 14 ACROSS (14 × 14)
24. 2 DOWN minus fifty
25. Digits of 6 DOWN in a different order
27. Four less than 13 DOWN
28. 27 ACROSS plus 14 ACROSS
29. Five times 14 ACROSS
31. 6 DOWN plus 19 ACROSS
32. 1 ACROSS minus 21 DOWN

DOWN

2. Two of the digits of 3 DOWN
3. Four times the sum of 15 ACROSS and 2 DOWN
4. 28 ACROSS times three
5. 22 ACROSS minus 16 DOWN
6. Nine times 30 DOWN
9. One hundred more than 17 ACROSS
11. 6 DOWN times 7 ACROSS
13. 28 DOWN minus 5 DOWN
14. 3 DOWN times 24 ACROSS
16. A number having all the same digits
17. 3 DOWN minus 6 DOWN
20. 15 ACROSS plus 16 DOWN
21. 4 ACROSS minus 27 ACROSS
23. 17 ACROSS plus 24 ACROSS
25. 1 ACROSS minus 22 ACROSS
26. Five times 21 DOWN
28. 2 DOWN minus 5 DOWN
30. Half of 17 ACROSS

 

1 Comment

  1. Kimberly Barber on July 1, 2026 at 11:50 am

    Happy 4th of July Mr. Burgin!!

    🎆 ❤️ 🎇

    Reply

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