PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a number entry mode, a number candidates mode, and a path drawing mode.)

Theme: Double Vision

Author/Opus: This is the 497th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Write a number from 1 to N (N is given for each puzzle) into each cell so that every number appears in the grid once. There must be a path using just adjacent cells to travel between consecutive numbers from 1 to N. Also, the number in the upper-left corner of each bold cage indicates the value of a mathematical operation (addition, subtraction, multiplication, division) applied successively to all numbers in the cage, starting with the largest number for subtraction and division (e.g. 1,2,4 with subtraction is a 1- clue as 4-2-1 = 1). The operation may or may not be given in the cage, but at least one of the four operations must apply.

See also this example:

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 1:45, Master = 4:00, Expert = 8:00

Solution: PDF and solving animation.

Note: Follow this link for other Math Path puzzles and this link for other Number Placement variations.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a number entry mode, a number candidates mode, and a path drawing mode.)

Theme: Twenty Something

Author/Opus: This is the 496th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Write a number from 1 to N (N is given for each puzzle) into each cell so that every number appears in the grid once. There must be a path using just adjacent cells to travel between consecutive numbers from 1 to N. Also, the number in the upper-left corner of each bold cage indicates the value of a mathematical operation (addition, subtraction, multiplication, division) applied successively to all numbers in the cage, starting with the largest number for subtraction and division (e.g. 1,2,4 with subtraction is a 1- clue as 4-2-1 = 1). The operation may or may not be given in the cage, but at least one of the four operations must apply.

See also this example:

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:45, Master = 1:30, Expert = 3:00

Solution: PDF and solving animation.

Note: Follow this link for other Math Path puzzles and this link for other Number Placement variations.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Fields

Author/Opus: This is the 475th puzzle from our managing editor Serkan Yürekli.

Rules: Standard Aqre rules: Shade some cells so that all shaded cells form one connected group. Regions with numbers must contain the indicated count of shaded cells, and it is allowed to shade over the numbered cells. There may not exist a run of four or more consecutive shaded or unshaded cells horizontally or vertically anywhere in the grid.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:45, Master = 1:45, Expert = 3:30

Solution: PDF and solving animation.

Note: Follow this link for more Aqre puzzles. If you are new to this puzzle type, here are our easiest Aqre to get started on. More Aqre puzzles can be found in these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

The Season 4 preview week starts with this “warm-up” Aqre puzzle by Murat Can Tonta with a Rectangles theme. The warm-up puzzles have blue stars at the top and use the same 1-5 star system as other puzzles on the site. Most warm-up puzzles will be 1 to 1.5 stars with a couple 2 star examples here and there.

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Rectangles

Author/Opus: This is the 290th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Aqre rules: Shade some cells so that all shaded cells form one connected group. Regions with numbers must contain the indicated count of shaded cells, and it is allowed to shade over the numbered cells. There may not exist a run of four or more consecutive shaded or unshaded cells horizontally or vertically anywhere in the grid.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:20, Master = 0:30, Expert = 1:00

Solution: PDF and solving animation.

Note: Follow this link for more Aqre puzzles. If you are new to this puzzle type, here are our easiest Aqre to get started on. More Aqre puzzles can be found in these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.